TSTP Solution File: SWC325+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC325+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 22:03:19 EDT 2022
% Result : Theorem 1.95s 2.18s
% Output : Refutation 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC325+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 14:52:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.95/2.18
% 1.95/2.18 SPASS V 3.9
% 1.95/2.18 SPASS beiseite: Proof found.
% 1.95/2.18 % SZS status Theorem
% 1.95/2.18 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.95/2.18 SPASS derived 4142 clauses, backtracked 2313 clauses, performed 116 splits and kept 4412 clauses.
% 1.95/2.18 SPASS allocated 101942 KBytes.
% 1.95/2.18 SPASS spent 0:00:01.83 on the problem.
% 1.95/2.18 0:00:00.04 for the input.
% 1.95/2.18 0:00:00.07 for the FLOTTER CNF translation.
% 1.95/2.18 0:00:00.04 for inferences.
% 1.95/2.18 0:00:00.04 for the backtracking.
% 1.95/2.18 0:00:01.46 for the reduction.
% 1.95/2.18
% 1.95/2.18
% 1.95/2.18 Here is a proof with depth 2, length 443 :
% 1.95/2.18 % SZS output start Refutation
% 1.95/2.18 1[0:Inp] || -> ssList(skc9)*.
% 1.95/2.18 2[0:Inp] || -> ssItem(skc8)*.
% 1.95/2.18 3[0:Inp] || -> ssList(skc7)*.
% 1.95/2.18 7[0:Inp] || -> ssList(nil)*.
% 1.95/2.18 8[0:Inp] || -> cyclefreeP(nil)*.
% 1.95/2.18 9[0:Inp] || -> totalorderP(nil)*.
% 1.95/2.18 10[0:Inp] || -> strictorderP(nil)*.
% 1.95/2.18 11[0:Inp] || -> totalorderedP(nil)*.
% 1.95/2.18 12[0:Inp] || -> strictorderedP(nil)*.
% 1.95/2.18 13[0:Inp] || -> duplicatefreeP(nil)*.
% 1.95/2.18 14[0:Inp] || -> equalelemsP(nil)*.
% 1.95/2.18 68[0:Inp] || equal(skc7,nil)** -> equal(skc6,nil).
% 1.95/2.18 70[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*.
% 1.95/2.18 71[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*.
% 1.95/2.18 72[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*.
% 1.95/2.18 73[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 1.95/2.18 74[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 1.95/2.18 75[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*.
% 1.95/2.18 76[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*.
% 1.95/2.18 78[0:Inp] ssList(u) || -> equal(app(nil,u),u)**.
% 1.95/2.18 79[0:Inp] ssList(u) || -> equal(app(u,nil),u)**.
% 1.95/2.18 84[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skf51(u),skf50(u))*.
% 1.95/2.18 85[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skf50(u),skf51(u))*.
% 1.95/2.18 86[0:Inp] ssList(u) || -> duplicatefreeP(u) equal(skf76(u),skf75(u))**.
% 1.95/2.18 87[0:Inp] ssItem(u) ssList(v) || -> ssList(cons(u,v))*.
% 1.95/2.18 95[0:Inp] || neq(skc7,nil) -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 96[0:Inp] || neq(skc7,nil) -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 106[0:Inp] ssList(u) ssList(v) || -> neq(v,u)* equal(v,u).
% 1.95/2.18 119[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)*+ -> singletonP(u)*.
% 1.95/2.18 141[0:Inp] ssList(u) ssList(v) || equal(app(u,v),skc6)**+ equal(app(v,u),skc7)** -> .
% 1.95/2.18 172[0:Inp] ssList(u) || -> strictorderedP(u) equal(app(app(skf72(u),cons(skf70(u),skf73(u))),cons(skf71(u),skf74(u))),u)**.
% 1.95/2.18 173[0:Inp] ssList(u) || -> totalorderedP(u) equal(app(app(skf67(u),cons(skf65(u),skf68(u))),cons(skf66(u),skf69(u))),u)**.
% 1.95/2.18 174[0:Inp] ssList(u) || -> strictorderP(u) equal(app(app(skf62(u),cons(skf60(u),skf63(u))),cons(skf61(u),skf64(u))),u)**.
% 1.95/2.18 175[0:Inp] ssList(u) || -> totalorderP(u) equal(app(app(skf57(u),cons(skf55(u),skf58(u))),cons(skf56(u),skf59(u))),u)**.
% 1.95/2.18 186[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).
% 1.95/2.18 389[0:Res:3.0,175.0] || -> totalorderP(skc7) equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 390[0:Res:3.0,174.0] || -> strictorderP(skc7) equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 391[0:Res:3.0,173.0] || -> totalorderedP(skc7) equal(app(app(skf67(skc7),cons(skf65(skc7),skf68(skc7))),cons(skf66(skc7),skf69(skc7))),skc7)**.
% 1.95/2.18 392[0:Res:3.0,172.0] || -> strictorderedP(skc7) equal(app(app(skf72(skc7),cons(skf70(skc7),skf73(skc7))),cons(skf71(skc7),skf74(skc7))),skc7)**.
% 1.95/2.18 436[0:Res:3.0,84.0] || -> cyclefreeP(skc7) leq(skf51(skc7),skf50(skc7))*.
% 1.95/2.18 437[0:Res:3.0,85.0] || -> cyclefreeP(skc7) leq(skf50(skc7),skf51(skc7))*.
% 1.95/2.18 438[0:Res:3.0,86.0] || -> duplicatefreeP(skc7) equal(skf76(skc7),skf75(skc7))**.
% 1.95/2.18 457[0:Res:3.0,186.1] ssList(u) || equal(tl(skc7),tl(u))* equal(hd(skc7),hd(u)) -> equal(nil,u) equal(skc7,u) equal(skc7,nil).
% 1.95/2.18 473[0:Res:3.0,141.1] ssList(u) || equal(app(u,skc7),skc7)** equal(app(skc7,u),skc6)** -> .
% 1.95/2.18 554[1:Spt:457.5] || -> equal(skc7,nil)**.
% 1.95/2.18 561[1:Rew:554.0,68.0] || equal(nil,nil) -> equal(skc6,nil)**.
% 1.95/2.18 589[1:Rew:554.0,473.2] ssList(u) || equal(app(u,skc7),skc7)** equal(app(nil,u),skc6)** -> .
% 1.95/2.18 713[1:Obv:561.0] || -> equal(skc6,nil)**.
% 1.95/2.18 950[1:Rew:78.1,589.2,713.0,589.2,79.1,589.1,554.0,589.1] ssList(u) || equal(u,nil)* equal(u,nil)* -> .
% 1.95/2.18 951[1:Obv:950.1] ssList(u) || equal(u,nil)* -> .
% 1.95/2.18 1099[1:EmS:951.0,7.0] || equal(nil,nil)* -> .
% 1.95/2.18 1100[1:Obv:1099.0] || -> .
% 1.95/2.18 1101[1:Spt:1100.0,457.5,554.0] || equal(skc7,nil)** -> .
% 1.95/2.18 1102[1:Spt:1100.0,457.0,457.1,457.2,457.3,457.4] ssList(u) || equal(tl(skc7),tl(u))* equal(hd(skc7),hd(u)) -> equal(nil,u) equal(skc7,u).
% 1.95/2.18 1908[2:Spt:391.0] || -> totalorderedP(skc7)*.
% 1.95/2.18 1912[3:Spt:392.0] || -> strictorderedP(skc7)*.
% 1.95/2.18 1922[4:Spt:437.0] || -> cyclefreeP(skc7)*.
% 1.95/2.18 1926[5:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 1927[6:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 1940[7:Spt:438.0] || -> duplicatefreeP(skc7)*.
% 1.95/2.18 2487[0:EqR:119.2] ssList(cons(u,nil)) ssItem(u) || -> singletonP(cons(u,nil))*.
% 1.95/2.18 2490[0:SSi:2487.0,87.1,14.1,13.1,10.1,9.1,8.1,12.1,11.0,7.0,76.0,75.0,72.0,71.0,70.0,74.0,73.2] ssItem(u) || -> singletonP(cons(u,nil))*.
% 1.95/2.18 3642[8:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 3644[8:Res:106.2,3642.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 3646[8:SSi:3644.1,3644.0,1940.0,1927.0,1926.0,1922.0,3.0,1912.0,1908.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 3647[8:MRR:3646.0,1101.0] || -> .
% 1.95/2.18 3648[8:Spt:3647.0,95.0,3642.0] || -> neq(skc7,nil)*.
% 1.95/2.18 3649[8:Spt:3647.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 3675[8:MRR:96.0,3648.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 3733[8:SpL:3649.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 3745[8:Obv:3733.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 3746[8:Rew:3675.0,3745.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 3747[8:Obv:3746.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 3748[8:SSi:3747.1,3747.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 3755[7:Spt:3748.0,438.0,1940.0] || duplicatefreeP(skc7)* -> .
% 1.95/2.18 3756[7:Spt:3748.0,438.1] || -> equal(skf76(skc7),skf75(skc7))**.
% 1.95/2.18 3799[8:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 3801[8:Res:106.2,3799.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 3803[8:SSi:3801.1,3801.0,1927.0,1926.0,1922.0,3.0,1912.0,1908.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 3804[8:MRR:3803.0,1101.0] || -> .
% 1.95/2.18 3805[8:Spt:3804.0,96.0,3799.0] || -> neq(skc7,nil)*.
% 1.95/2.18 3806[8:Spt:3804.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 3831[8:MRR:95.0,3805.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 3870[8:SpL:3831.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 3873[8:Obv:3870.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 3874[8:Rew:3806.0,3873.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 3875[8:Obv:3874.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 3876[8:SSi:3875.1,3875.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 3879[6:Spt:3876.0,390.0,1927.0] || strictorderP(skc7)* -> .
% 1.95/2.18 3880[6:Spt:3876.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 3924[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 3926[7:Res:106.2,3924.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 3928[7:SSi:3926.1,3926.0,1926.0,1922.0,3.0,1912.0,1908.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 3929[7:MRR:3928.0,1101.0] || -> .
% 1.95/2.18 3930[7:Spt:3929.0,95.0,3924.0] || -> neq(skc7,nil)*.
% 1.95/2.18 3931[7:Spt:3929.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 3956[7:MRR:96.0,3930.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 3970[7:SpL:3931.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 3973[7:Obv:3970.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 3974[7:Rew:3956.0,3973.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 3975[7:Obv:3974.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 3976[7:SSi:3975.1,3975.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 3979[5:Spt:3976.0,389.0,1926.0] || totalorderP(skc7)* -> .
% 1.95/2.18 3980[5:Spt:3976.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 4005[6:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 4011[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4013[7:Res:106.2,4011.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4015[7:SSi:4013.1,4013.0,1922.0,3.0,1912.0,1908.0,4005.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4016[7:MRR:4015.0,1101.0] || -> .
% 1.95/2.18 4017[7:Spt:4016.0,96.0,4011.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4018[7:Spt:4016.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4043[7:MRR:95.0,4017.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4082[7:SpL:4043.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4085[7:Obv:4082.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4086[7:Rew:4018.0,4085.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4087[7:Obv:4086.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4088[7:SSi:4087.1,4087.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4091[6:Spt:4088.0,390.0,4005.0] || strictorderP(skc7)* -> .
% 1.95/2.18 4092[6:Spt:4088.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 4110[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4112[7:Res:106.2,4110.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4114[7:SSi:4112.1,4112.0,1922.0,3.0,1912.0,1908.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4115[7:MRR:4114.0,1101.0] || -> .
% 1.95/2.18 4116[7:Spt:4115.0,95.0,4110.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4117[7:Spt:4115.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4142[7:MRR:96.0,4116.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4156[7:SpL:4117.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4159[7:Obv:4156.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4160[7:Rew:4142.0,4159.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4161[7:Obv:4160.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4162[7:SSi:4161.1,4161.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4165[4:Spt:4162.0,437.0,1922.0] || cyclefreeP(skc7)* -> .
% 1.95/2.18 4166[4:Spt:4162.0,437.1] || -> leq(skf50(skc7),skf51(skc7))*.
% 1.95/2.18 4202[5:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 4213[6:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 4214[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4216[7:Res:106.2,4214.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4218[7:SSi:4216.1,4216.0,3.0,1912.0,1908.0,4202.0,4213.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4219[7:MRR:4218.0,1101.0] || -> .
% 1.95/2.18 4220[7:Spt:4219.0,96.0,4214.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4221[7:Spt:4219.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4246[7:MRR:95.0,4220.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4285[7:SpL:4246.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4288[7:Obv:4285.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4289[7:Rew:4221.0,4288.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4290[7:Obv:4289.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4291[7:SSi:4290.1,4290.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4294[6:Spt:4291.0,389.0,4213.0] || totalorderP(skc7)* -> .
% 1.95/2.18 4295[6:Spt:4291.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 4316[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4318[7:Res:106.2,4316.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4320[7:SSi:4318.1,4318.0,3.0,1912.0,1908.0,4202.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4321[7:MRR:4320.0,1101.0] || -> .
% 1.95/2.18 4322[7:Spt:4321.0,95.0,4316.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4323[7:Spt:4321.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4348[7:MRR:96.0,4322.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4362[7:SpL:4323.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4365[7:Obv:4362.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4366[7:Rew:4348.0,4365.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4367[7:Obv:4366.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4368[7:SSi:4367.1,4367.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4371[5:Spt:4368.0,390.0,4202.0] || strictorderP(skc7)* -> .
% 1.95/2.18 4372[5:Spt:4368.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 4385[6:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 4393[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4395[7:Res:106.2,4393.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4397[7:SSi:4395.1,4395.0,3.0,1912.0,1908.0,4385.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4398[7:MRR:4397.0,1101.0] || -> .
% 1.95/2.18 4399[7:Spt:4398.0,96.0,4393.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4400[7:Spt:4398.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4425[7:MRR:95.0,4399.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4464[7:SpL:4425.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4467[7:Obv:4464.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4468[7:Rew:4400.0,4467.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4469[7:Obv:4468.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4470[7:SSi:4469.1,4469.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4473[6:Spt:4470.0,389.0,4385.0] || totalorderP(skc7)* -> .
% 1.95/2.18 4474[6:Spt:4470.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 4497[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4499[7:Res:106.2,4497.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4501[7:SSi:4499.1,4499.0,3.0,1912.0,1908.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4502[7:MRR:4501.0,1101.0] || -> .
% 1.95/2.18 4503[7:Spt:4502.0,95.0,4497.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4504[7:Spt:4502.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4529[7:MRR:96.0,4503.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4543[7:SpL:4504.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4546[7:Obv:4543.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4547[7:Rew:4529.0,4546.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4548[7:Obv:4547.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4549[7:SSi:4548.1,4548.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4552[3:Spt:4549.0,392.0,1912.0] || strictorderedP(skc7)* -> .
% 1.95/2.18 4553[3:Spt:4549.0,392.1] || -> equal(app(app(skf72(skc7),cons(skf70(skc7),skf73(skc7))),cons(skf71(skc7),skf74(skc7))),skc7)**.
% 1.95/2.18 4610[4:Spt:436.0] || -> cyclefreeP(skc7)*.
% 1.95/2.18 4614[5:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4616[5:Res:106.2,4614.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4618[5:SSi:4616.1,4616.0,3.0,1908.0,4610.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4619[5:MRR:4618.0,1101.0] || -> .
% 1.95/2.18 4620[5:Spt:4619.0,96.0,4614.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4621[5:Spt:4619.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4646[5:MRR:95.0,4620.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4689[5:SpL:4646.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4692[5:Obv:4689.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4693[5:Rew:4621.0,4692.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4694[5:Obv:4693.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4695[5:SSi:4694.1,4694.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4698[4:Spt:4695.0,436.0,4610.0] || cyclefreeP(skc7)* -> .
% 1.95/2.18 4699[4:Spt:4695.0,436.1] || -> leq(skf51(skc7),skf50(skc7))*.
% 1.95/2.18 4709[5:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 4711[6:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 4721[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4723[7:Res:106.2,4721.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4725[7:SSi:4723.1,4723.0,3.0,1908.0,4709.0,4711.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4726[7:MRR:4725.0,1101.0] || -> .
% 1.95/2.18 4727[7:Spt:4726.0,95.0,4721.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4728[7:Spt:4726.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4753[7:MRR:96.0,4727.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4767[7:SpL:4728.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4770[7:Obv:4767.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4771[7:Rew:4753.0,4770.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4772[7:Obv:4771.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4773[7:SSi:4772.1,4772.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4776[6:Spt:4773.0,389.0,4711.0] || totalorderP(skc7)* -> .
% 1.95/2.18 4777[6:Spt:4773.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 4795[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4797[7:Res:106.2,4795.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4799[7:SSi:4797.1,4797.0,3.0,1908.0,4709.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4800[7:MRR:4799.0,1101.0] || -> .
% 1.95/2.18 4801[7:Spt:4800.0,96.0,4795.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4802[7:Spt:4800.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4827[7:MRR:95.0,4801.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4866[7:SpL:4827.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4869[7:Obv:4866.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4870[7:Rew:4802.0,4869.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4871[7:Obv:4870.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4872[7:SSi:4871.1,4871.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4875[5:Spt:4872.0,390.0,4709.0] || strictorderP(skc7)* -> .
% 1.95/2.18 4876[5:Spt:4872.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 4891[6:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 4896[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4898[7:Res:106.2,4896.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4900[7:SSi:4898.1,4898.0,3.0,1908.0,4891.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4901[7:MRR:4900.0,1101.0] || -> .
% 1.95/2.18 4902[7:Spt:4901.0,95.0,4896.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4903[7:Spt:4901.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 4928[7:MRR:96.0,4902.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4942[7:SpL:4903.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4945[7:Obv:4942.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 4946[7:Rew:4928.0,4945.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 4947[7:Obv:4946.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 4948[7:SSi:4947.1,4947.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 4951[6:Spt:4948.0,389.0,4891.0] || totalorderP(skc7)* -> .
% 1.95/2.18 4952[6:Spt:4948.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 4967[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 4969[7:Res:106.2,4967.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 4971[7:SSi:4969.1,4969.0,3.0,1908.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 4972[7:MRR:4971.0,1101.0] || -> .
% 1.95/2.18 4973[7:Spt:4972.0,96.0,4967.0] || -> neq(skc7,nil)*.
% 1.95/2.18 4974[7:Spt:4972.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 4999[7:MRR:95.0,4973.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5038[7:SpL:4999.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5041[7:Obv:5038.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5042[7:Rew:4974.0,5041.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5043[7:Obv:5042.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5044[7:SSi:5043.1,5043.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5047[2:Spt:5044.0,391.0,1908.0] || totalorderedP(skc7)* -> .
% 1.95/2.18 5048[2:Spt:5044.0,391.1] || -> equal(app(app(skf67(skc7),cons(skf65(skc7),skf68(skc7))),cons(skf66(skc7),skf69(skc7))),skc7)**.
% 1.95/2.18 5083[3:Spt:392.0] || -> strictorderedP(skc7)*.
% 1.95/2.18 5090[4:Spt:437.0] || -> cyclefreeP(skc7)*.
% 1.95/2.18 5095[5:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5097[5:Res:106.2,5095.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5099[5:SSi:5097.1,5097.0,3.0,5083.0,5090.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5100[5:MRR:5099.0,1101.0] || -> .
% 1.95/2.18 5101[5:Spt:5100.0,95.0,5095.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5102[5:Spt:5100.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5127[5:MRR:96.0,5101.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5141[5:SpL:5102.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5144[5:Obv:5141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5145[5:Rew:5127.0,5144.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5146[5:Obv:5145.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5147[5:SSi:5146.1,5146.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5150[4:Spt:5147.0,437.0,5090.0] || cyclefreeP(skc7)* -> .
% 1.95/2.18 5151[4:Spt:5147.0,437.1] || -> leq(skf50(skc7),skf51(skc7))*.
% 1.95/2.18 5163[5:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 5174[6:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 5175[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5177[7:Res:106.2,5175.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5179[7:SSi:5177.1,5177.0,3.0,5083.0,5163.0,5174.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5180[7:MRR:5179.0,1101.0] || -> .
% 1.95/2.18 5181[7:Spt:5180.0,96.0,5175.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5182[7:Spt:5180.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5207[7:MRR:95.0,5181.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5246[7:SpL:5207.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5249[7:Obv:5246.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5250[7:Rew:5182.0,5249.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5251[7:Obv:5250.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5252[7:SSi:5251.1,5251.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5255[6:Spt:5252.0,390.0,5174.0] || strictorderP(skc7)* -> .
% 1.95/2.18 5256[6:Spt:5252.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 5272[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5274[7:Res:106.2,5272.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5276[7:SSi:5274.1,5274.0,3.0,5083.0,5163.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5277[7:MRR:5276.0,1101.0] || -> .
% 1.95/2.18 5278[7:Spt:5277.0,95.0,5272.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5279[7:Spt:5277.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5304[7:MRR:96.0,5278.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5318[7:SpL:5279.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5321[7:Obv:5318.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5322[7:Rew:5304.0,5321.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5323[7:Obv:5322.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5324[7:SSi:5323.1,5323.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5327[5:Spt:5324.0,389.0,5163.0] || totalorderP(skc7)* -> .
% 1.95/2.18 5328[5:Spt:5324.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 5338[6:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 5348[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5350[7:Res:106.2,5348.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5352[7:SSi:5350.1,5350.0,3.0,5083.0,5338.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5353[7:MRR:5352.0,1101.0] || -> .
% 1.95/2.18 5354[7:Spt:5353.0,96.0,5348.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5355[7:Spt:5353.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5380[7:MRR:95.0,5354.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5419[7:SpL:5380.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5422[7:Obv:5419.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5423[7:Rew:5355.0,5422.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5424[7:Obv:5423.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5425[7:SSi:5424.1,5424.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5428[6:Spt:5425.0,390.0,5338.0] || strictorderP(skc7)* -> .
% 1.95/2.18 5429[6:Spt:5425.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 5446[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5448[7:Res:106.2,5446.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5450[7:SSi:5448.1,5448.0,3.0,5083.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5451[7:MRR:5450.0,1101.0] || -> .
% 1.95/2.18 5452[7:Spt:5451.0,95.0,5446.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5453[7:Spt:5451.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5478[7:MRR:96.0,5452.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5492[7:SpL:5453.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5495[7:Obv:5492.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5496[7:Rew:5478.0,5495.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5497[7:Obv:5496.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5498[7:SSi:5497.1,5497.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5501[3:Spt:5498.0,392.0,5083.0] || strictorderedP(skc7)* -> .
% 1.95/2.18 5502[3:Spt:5498.0,392.1] || -> equal(app(app(skf72(skc7),cons(skf70(skc7),skf73(skc7))),cons(skf71(skc7),skf74(skc7))),skc7)**.
% 1.95/2.18 5518[4:Spt:436.0] || -> cyclefreeP(skc7)*.
% 1.95/2.18 5527[5:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 5529[6:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5531[6:Res:106.2,5529.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5533[6:SSi:5531.1,5531.0,3.0,5518.0,5527.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5534[6:MRR:5533.0,1101.0] || -> .
% 1.95/2.18 5535[6:Spt:5534.0,96.0,5529.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5536[6:Spt:5534.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5561[6:MRR:95.0,5535.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5602[6:SpL:5561.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5605[6:Obv:5602.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5606[6:Rew:5536.0,5605.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5607[6:Obv:5606.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5608[6:SSi:5607.1,5607.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5611[5:Spt:5608.0,390.0,5527.0] || strictorderP(skc7)* -> .
% 1.95/2.18 5612[5:Spt:5608.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 5622[6:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 5631[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5633[7:Res:106.2,5631.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5635[7:SSi:5633.1,5633.0,3.0,5518.0,5622.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5636[7:MRR:5635.0,1101.0] || -> .
% 1.95/2.18 5637[7:Spt:5636.0,95.0,5631.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5638[7:Spt:5636.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5663[7:MRR:96.0,5637.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5677[7:SpL:5638.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5680[7:Obv:5677.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5681[7:Rew:5663.0,5680.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5682[7:Obv:5681.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5683[7:SSi:5682.1,5682.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5686[6:Spt:5683.0,389.0,5622.0] || totalorderP(skc7)* -> .
% 1.95/2.18 5687[6:Spt:5683.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 1.95/2.18 5704[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5706[7:Res:106.2,5704.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5708[7:SSi:5706.1,5706.0,3.0,5518.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5709[7:MRR:5708.0,1101.0] || -> .
% 1.95/2.18 5710[7:Spt:5709.0,96.0,5704.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5711[7:Spt:5709.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5736[7:MRR:95.0,5710.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5778[7:SpL:5736.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5781[7:Obv:5778.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5782[7:Rew:5711.0,5781.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5783[7:Obv:5782.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5784[7:SSi:5783.1,5783.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5787[4:Spt:5784.0,436.0,5518.0] || cyclefreeP(skc7)* -> .
% 1.95/2.18 5788[4:Spt:5784.0,436.1] || -> leq(skf51(skc7),skf50(skc7))*.
% 1.95/2.18 5798[5:Spt:389.0] || -> totalorderP(skc7)*.
% 1.95/2.18 5800[6:Spt:390.0] || -> strictorderP(skc7)*.
% 1.95/2.18 5811[7:Spt:95.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5813[7:Res:106.2,5811.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5815[7:SSi:5813.1,5813.0,3.0,5798.0,5800.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 1.95/2.18 5816[7:MRR:5815.0,1101.0] || -> .
% 1.95/2.18 5817[7:Spt:5816.0,95.0,5811.0] || -> neq(skc7,nil)*.
% 1.95/2.18 5818[7:Spt:5816.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 1.95/2.18 5843[7:MRR:96.0,5817.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 1.95/2.18 5857[7:SpL:5818.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5860[7:Obv:5857.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 1.95/2.18 5861[7:Rew:5843.0,5860.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 1.95/2.18 5862[7:Obv:5861.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 1.95/2.18 5863[7:SSi:5862.1,5862.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 1.95/2.18 5866[6:Spt:5863.0,390.0,5800.0] || strictorderP(skc7)* -> .
% 1.95/2.18 5867[6:Spt:5863.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 1.95/2.18 5886[7:Spt:96.0] || neq(skc7,nil)* -> .
% 1.95/2.18 5888[7:Res:106.2,5886.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 1.95/2.18 5890[7:SSi:5888.1,5888.0,3.0,5798.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 2.01/2.22 5891[7:MRR:5890.0,1101.0] || -> .
% 2.01/2.22 5892[7:Spt:5891.0,96.0,5886.0] || -> neq(skc7,nil)*.
% 2.01/2.22 5893[7:Spt:5891.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 2.01/2.22 5918[7:MRR:95.0,5892.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 2.01/2.22 5960[7:SpL:5918.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 2.01/2.22 5963[7:Obv:5960.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 2.01/2.22 5964[7:Rew:5893.0,5963.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 2.01/2.22 5965[7:Obv:5964.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 2.01/2.22 5966[7:SSi:5965.1,5965.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 2.01/2.22 5969[5:Spt:5966.0,389.0,5798.0] || totalorderP(skc7)* -> .
% 2.01/2.22 5970[5:Spt:5966.0,389.1] || -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 2.01/2.22 5985[6:Spt:390.0] || -> strictorderP(skc7)*.
% 2.01/2.22 5989[7:Spt:95.0] || neq(skc7,nil)* -> .
% 2.01/2.22 5991[7:Res:106.2,5989.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 2.01/2.22 5993[7:SSi:5991.1,5991.0,3.0,5985.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 2.01/2.22 5994[7:MRR:5993.0,1101.0] || -> .
% 2.01/2.22 5995[7:Spt:5994.0,95.0,5989.0] || -> neq(skc7,nil)*.
% 2.01/2.22 5996[7:Spt:5994.0,95.1] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 2.01/2.22 6021[7:MRR:96.0,5995.0] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 2.01/2.22 6035[7:SpL:5996.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 2.01/2.22 6038[7:Obv:6035.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 2.01/2.22 6039[7:Rew:6021.0,6038.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 2.01/2.22 6040[7:Obv:6039.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 2.01/2.22 6041[7:SSi:6040.1,6040.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 2.01/2.22 6044[6:Spt:6041.0,390.0,5985.0] || strictorderP(skc7)* -> .
% 2.01/2.22 6045[6:Spt:6041.0,390.1] || -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 2.01/2.22 6062[7:Spt:96.0] || neq(skc7,nil)* -> .
% 2.01/2.22 6064[7:Res:106.2,6062.0] ssList(nil) ssList(skc7) || -> equal(skc7,nil)**.
% 2.01/2.22 6066[7:SSi:6064.1,6064.0,3.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] || -> equal(skc7,nil)**.
% 2.01/2.22 6067[7:MRR:6066.0,1101.0] || -> .
% 2.01/2.22 6068[7:Spt:6067.0,96.0,6062.0] || -> neq(skc7,nil)*.
% 2.01/2.22 6069[7:Spt:6067.0,96.1] || -> equal(app(skc9,cons(skc8,nil)),skc7)**.
% 2.01/2.22 6094[7:MRR:95.0,6068.0] || -> equal(app(cons(skc8,nil),skc9),skc6)**.
% 2.01/2.22 6136[7:SpL:6094.0,141.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc6,skc6) equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 2.01/2.22 6139[7:Obv:6136.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(app(skc9,cons(skc8,nil)),skc7)** -> .
% 2.01/2.22 6140[7:Rew:6069.0,6139.2] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc7,skc7)* -> .
% 2.01/2.22 6141[7:Obv:6140.2] ssList(cons(skc8,nil)) ssList(skc9) || -> .
% 2.01/2.22 6142[7:SSi:6141.1,6141.0,1.0,87.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,76.1,2.0,75.1,2.0,72.1,2.0,71.0,2.0,70.0,2.0,74.0,2.0,73.0,2.0,2490.2,2.0] || -> .
% 2.01/2.22 % SZS output end Refutation
% 2.01/2.22 Formulae used in the proof : co1 ax2 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax84 ax8 ax13 ax16 ax15 ax4 ax12 ax11 ax10 ax9 ax77
% 2.01/2.22
%------------------------------------------------------------------------------