TSTP Solution File: SWC310+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC310+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 22:03:13 EDT 2022

% Result   : Theorem 7.40s 7.58s
% Output   : Refutation 8.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC310+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n020.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 23:03:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 7.40/7.58  
% 7.40/7.58  SPASS V 3.9 
% 7.40/7.58  SPASS beiseite: Proof found.
% 7.40/7.58  % SZS status Theorem
% 7.40/7.58  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 7.40/7.58  SPASS derived 8932 clauses, backtracked 3698 clauses, performed 125 splits and kept 7201 clauses.
% 7.40/7.58  SPASS allocated 110951 KBytes.
% 7.40/7.58  SPASS spent	0:00:07.22 on the problem.
% 7.40/7.58  		0:00:00.04 for the input.
% 7.40/7.58  		0:00:00.07 for the FLOTTER CNF translation.
% 7.40/7.58  		0:00:00.09 for inferences.
% 7.40/7.58  		0:00:00.22 for the backtracking.
% 7.40/7.58  		0:00:06.58 for the reduction.
% 7.40/7.58  
% 7.40/7.58  
% 7.40/7.58  Here is a proof with depth 6, length 478 :
% 7.40/7.58  % SZS output start Refutation
% 7.40/7.58  1[0:Inp] ||  -> ssList(skc9)*.
% 7.40/7.58  2[0:Inp] ||  -> ssItem(skc8)*.
% 7.40/7.58  3[0:Inp] ||  -> ssList(skc7)*.
% 7.40/7.58  4[0:Inp] ||  -> ssList(skc6)*.
% 7.40/7.58  5[0:Inp] ||  -> ssItem(skc11)*.
% 7.40/7.58  6[0:Inp] ||  -> ssItem(skc10)*.
% 7.40/7.58  7[0:Inp] ||  -> ssList(nil)*.
% 7.40/7.58  8[0:Inp] ||  -> cyclefreeP(nil)*.
% 7.40/7.58  9[0:Inp] ||  -> totalorderP(nil)*.
% 7.40/7.58  10[0:Inp] ||  -> strictorderP(nil)*.
% 7.40/7.58  11[0:Inp] ||  -> totalorderedP(nil)*.
% 7.40/7.58  12[0:Inp] ||  -> strictorderedP(nil)*.
% 7.40/7.58  13[0:Inp] ||  -> duplicatefreeP(nil)*.
% 7.40/7.58  14[0:Inp] ||  -> equalelemsP(nil)*.
% 7.40/7.58  53[0:Inp] || equal(skc11,skc10)** -> .
% 7.40/7.58  60[0:Inp] ||  -> SkP0(u,v)* equal(nil,v).
% 7.40/7.58  69[0:Inp] || equal(skc7,nil)** -> equal(skc6,nil).
% 7.40/7.58  70[0:Inp] || SkP0(skc6,skc7) -> neq(skc7,nil)*.
% 7.40/7.58  71[0:Inp] || equal(nil,u) -> SkP0(u,v)*.
% 7.40/7.58  73[0:Inp] ssItem(u) ||  -> cyclefreeP(cons(u,nil))*.
% 7.40/7.58  74[0:Inp] ssItem(u) ||  -> totalorderP(cons(u,nil))*.
% 7.40/7.58  75[0:Inp] ssItem(u) ||  -> strictorderP(cons(u,nil))*.
% 7.40/7.58  76[0:Inp] ssItem(u) ||  -> totalorderedP(cons(u,nil))*.
% 7.40/7.58  77[0:Inp] ssItem(u) ||  -> strictorderedP(cons(u,nil))*.
% 7.40/7.58  78[0:Inp] ssItem(u) ||  -> duplicatefreeP(cons(u,nil))*.
% 7.40/7.58  79[0:Inp] ssItem(u) ||  -> equalelemsP(cons(u,nil))*.
% 7.40/7.58  81[0:Inp] ssList(u) ||  -> equal(app(nil,u),u)**.
% 7.40/7.58  85[0:Inp] ssList(u) ||  -> ssItem(hd(u))* equal(nil,u).
% 7.40/7.58  87[0:Inp] ssList(u) ||  -> cyclefreeP(u) leq(skf51(u),skf50(u))*.
% 7.40/7.58  88[0:Inp] ssList(u) ||  -> cyclefreeP(u) leq(skf50(u),skf51(u))*.
% 7.40/7.58  89[0:Inp] ssList(u) ||  -> duplicatefreeP(u) equal(skf76(u),skf75(u))**.
% 7.40/7.58  90[0:Inp] ssItem(u) ssList(v) ||  -> ssList(cons(u,v))*.
% 7.40/7.58  98[0:Inp] || neq(skc7,nil) -> equal(app(cons(skc8,nil),skc9),skc7)**.
% 7.40/7.58  99[0:Inp] || neq(skc7,nil) -> equal(app(skc9,cons(skc8,nil)),skc6)**.
% 7.40/7.58  109[0:Inp] ssList(u) ssList(v) ||  -> neq(v,u)* equal(v,u).
% 7.40/7.58  112[0:Inp] ssItem(u) ssList(v) ||  -> equal(hd(cons(u,v)),u)**.
% 7.40/7.58  113[0:Inp] ssItem(u) ssList(v) ||  -> equal(tl(cons(u,v)),v)**.
% 7.40/7.58  122[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)*+ -> singletonP(u)*.
% 7.40/7.58  123[0:Inp] ssList(u) ssList(v) || equal(v,u) neq(v,u)* -> .
% 7.40/7.58  125[0:Inp] ssList(u) ssItem(v) || equal(nil,u) -> totalorderedP(cons(v,u))*.
% 7.40/7.58  126[0:Inp] ssList(u) ssItem(v) || equal(nil,u) -> strictorderedP(cons(v,u))*.
% 7.40/7.58  129[0:Inp] ssItem(u) ssList(v) ||  -> equal(app(cons(u,nil),v),cons(u,v))**.
% 7.40/7.58  132[0:Inp] ssList(u) ssItem(v) || totalorderedP(cons(v,u))* -> totalorderedP(u) equal(nil,u).
% 7.40/7.58  133[0:Inp] ssList(u) ssItem(v) || strictorderedP(cons(v,u))* -> strictorderedP(u) equal(nil,u).
% 7.40/7.58  134[0:Inp] ssList(u) ssList(v) ||  -> equal(nil,v) equal(hd(app(v,u)),hd(v))**.
% 7.40/7.58  154[0:Inp] ssList(u) ssItem(v) || strictorderedP(cons(v,u))* -> lt(v,hd(u)) equal(nil,u).
% 7.40/7.58  174[0:Inp] ssList(u) ||  -> strictorderedP(u) equal(app(app(skf72(u),cons(skf70(u),skf73(u))),cons(skf71(u),skf74(u))),u)**.
% 7.40/7.58  175[0:Inp] ssList(u) ||  -> totalorderedP(u) equal(app(app(skf67(u),cons(skf65(u),skf68(u))),cons(skf66(u),skf69(u))),u)**.
% 7.40/7.58  176[0:Inp] ssList(u) ||  -> strictorderP(u) equal(app(app(skf62(u),cons(skf60(u),skf63(u))),cons(skf61(u),skf64(u))),u)**.
% 7.40/7.58  177[0:Inp] ssList(u) ||  -> totalorderP(u) equal(app(app(skf57(u),cons(skf55(u),skf58(u))),cons(skf56(u),skf59(u))),u)**.
% 7.40/7.58  196[0:Inp] ssList(u) ssList(v) || ssList(skc6) equal(app(u,v),skc6)** equal(cons(hd(skc7),nil),v)* neq(nil,skc7) ssItem(hd(skc7)) equal(tl(skc7),u) SkP0(skc6,skc7) -> .
% 7.40/7.58  203[0:MRR:196.2,4.0] ssList(u) ssList(v) || ssItem(hd(skc7)) SkP0(skc6,skc7) neq(nil,skc7) equal(tl(skc7),v) equal(app(v,u),skc6)** equal(cons(hd(skc7),nil),u)* -> .
% 7.40/7.58  221[0:Res:4.0,177.0] ||  -> totalorderP(skc6) equal(app(app(skf57(skc6),cons(skf55(skc6),skf58(skc6))),cons(skf56(skc6),skf59(skc6))),skc6)**.
% 7.40/7.58  394[0:Res:3.0,177.0] ||  -> totalorderP(skc7) equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  395[0:Res:3.0,176.0] ||  -> strictorderP(skc7) equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  396[0:Res:3.0,175.0] ||  -> totalorderedP(skc7) equal(app(app(skf67(skc7),cons(skf65(skc7),skf68(skc7))),cons(skf66(skc7),skf69(skc7))),skc7)**.
% 7.40/7.58  397[0:Res:3.0,174.0] ||  -> strictorderedP(skc7) equal(app(app(skf72(skc7),cons(skf70(skc7),skf73(skc7))),cons(skf71(skc7),skf74(skc7))),skc7)**.
% 7.40/7.58  420[0:Res:3.0,134.0] ssList(u) ||  -> equal(skc7,nil) equal(hd(app(skc7,u)),hd(skc7))**.
% 7.40/7.58  431[0:Res:3.0,112.0] ssItem(u) ||  -> equal(hd(cons(u,skc7)),u)**.
% 7.40/7.58  440[0:Res:3.0,87.0] ||  -> cyclefreeP(skc7) leq(skf51(skc7),skf50(skc7))*.
% 7.40/7.58  441[0:Res:3.0,88.0] ||  -> cyclefreeP(skc7) leq(skf50(skc7),skf51(skc7))*.
% 7.40/7.58  442[0:Res:3.0,89.0] ||  -> duplicatefreeP(skc7) equal(skf76(skc7),skf75(skc7))**.
% 7.40/7.58  443[0:Res:3.0,90.0] ssItem(u) ||  -> ssList(cons(u,skc7))*.
% 7.40/7.58  451[0:Res:3.0,85.0] ||  -> ssItem(hd(skc7))* equal(skc7,nil).
% 7.40/7.58  453[0:Res:3.0,81.0] ||  -> equal(app(nil,skc7),skc7)**.
% 7.40/7.58  485[0:Res:3.0,154.1] ssItem(u) || strictorderedP(cons(u,skc7))* -> lt(u,hd(skc7)) equal(skc7,nil).
% 7.40/7.58  550[1:Spt:420.0,420.2] ssList(u) ||  -> equal(hd(app(skc7,u)),hd(skc7))**.
% 7.40/7.58  558[2:Spt:485.3] ||  -> equal(skc7,nil)**.
% 7.40/7.58  559[2:Rew:558.0,550.1] ssList(u) ||  -> equal(hd(app(nil,u)),hd(nil))**.
% 7.40/7.58  584[2:Rew:558.0,443.1] ssItem(u) ||  -> ssList(cons(u,nil))*.
% 7.40/7.58  585[2:Rew:558.0,431.1] ssItem(u) ||  -> equal(hd(cons(u,nil)),u)**.
% 7.40/7.58  909[2:Rew:81.1,559.1] ssList(u) ||  -> equal(hd(u),hd(nil))*.
% 7.40/7.58  1216[2:SpR:585.1,909.1] ssItem(u) ssList(cons(u,nil)) ||  -> equal(u,hd(nil))*.
% 7.40/7.58  1219[2:SSi:1216.1,79.1,78.1,75.1,74.1,73.1,77.1,76.1,584.1] ssItem(u) ||  -> equal(u,hd(nil))*.
% 7.40/7.58  1289[2:SpR:1219.1,1219.1] ssItem(u) ssItem(v) ||  -> equal(v,u)*.
% 7.40/7.58  1327[2:EmS:1289.0,2.0] ssItem(u) ||  -> equal(u,skc8)*.
% 7.40/7.58  1349[2:EmS:1327.0,5.0] ||  -> equal(skc11,skc8)**.
% 7.40/7.58  1350[2:EmS:1327.0,6.0] ||  -> equal(skc10,skc8)**.
% 7.40/7.58  1352[2:Rew:1349.0,53.0] || equal(skc10,skc8)** -> .
% 7.40/7.58  1462[2:Rew:1350.0,1352.0] || equal(skc8,skc8)* -> .
% 7.40/7.58  1463[2:Obv:1462.0] ||  -> .
% 7.40/7.58  1492[2:Spt:1463.0,485.3,558.0] || equal(skc7,nil)** -> .
% 7.40/7.58  1493[2:Spt:1463.0,485.0,485.1,485.2] ssItem(u) || strictorderedP(cons(u,skc7))* -> lt(u,hd(skc7)).
% 7.40/7.58  1495[2:MRR:451.1,1492.0] ||  -> ssItem(hd(skc7))*.
% 7.40/7.58  1511[2:MRR:203.2,1495.0] ssList(u) ssList(v) || SkP0(skc6,skc7) neq(nil,skc7) equal(tl(skc7),v) equal(app(v,u),skc6)** equal(cons(hd(skc7),nil),u)* -> .
% 7.40/7.58  2435[3:Spt:70.0] || SkP0(skc6,skc7)* -> .
% 7.40/7.58  2437[3:Res:60.0,2435.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  2438[3:MRR:2437.0,1492.0] ||  -> .
% 7.40/7.58  2439[3:Spt:2438.0,70.0,2435.0] ||  -> SkP0(skc6,skc7)*.
% 7.40/7.58  2440[3:Spt:2438.0,70.1] ||  -> neq(skc7,nil)*.
% 7.40/7.58  2441[3:MRR:98.0,2440.0] ||  -> equal(app(cons(skc8,nil),skc9),skc7)**.
% 7.40/7.58  2442[3:MRR:99.0,2440.0] ||  -> equal(app(skc9,cons(skc8,nil)),skc6)**.
% 7.40/7.58  2447[3:MRR:1511.2,2439.0] ssList(u) ssList(v) || neq(nil,skc7) equal(tl(skc7),v) equal(app(v,u),skc6)** equal(cons(hd(skc7),nil),u)* -> .
% 7.40/7.58  2448[4:Spt:396.0] ||  -> totalorderedP(skc7)*.
% 7.40/7.58  2452[5:Spt:397.0] ||  -> strictorderedP(skc7)*.
% 7.40/7.58  2462[6:Spt:441.0] ||  -> cyclefreeP(skc7)*.
% 7.40/7.58  2466[7:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  2467[8:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  2490[9:Spt:442.0] ||  -> duplicatefreeP(skc7)*.
% 7.40/7.58  3063[0:EqR:122.2] ssList(cons(u,nil)) ssItem(u) ||  -> singletonP(cons(u,nil))*.
% 7.40/7.58  3066[0:SSi:3063.0,90.1,14.1,13.1,10.1,9.1,8.1,12.1,11.0,7.0,79.0,78.0,75.0,74.0,73.0,77.0,76.2] ssItem(u) ||  -> singletonP(cons(u,nil))*.
% 7.40/7.58  3377[3:SpR:129.2,2441.0] ssItem(skc8) ssList(skc9) ||  -> equal(cons(skc8,skc9),skc7)**.
% 7.40/7.58  3388[3:SSi:3377.1,3377.0,1.0,2.0] ||  -> equal(cons(skc8,skc9),skc7)**.
% 7.40/7.58  3396[3:SpR:3388.0,113.2] ssItem(skc8) ssList(skc9) ||  -> equal(tl(skc7),skc9)**.
% 7.40/7.58  3397[3:SpR:3388.0,112.2] ssItem(skc8) ssList(skc9) ||  -> equal(hd(skc7),skc8)**.
% 7.40/7.58  3398[3:SpR:3388.0,126.3] ssList(skc9) ssItem(skc8) || equal(skc9,nil) -> strictorderedP(skc7)*.
% 7.40/7.58  3399[3:SpR:3388.0,125.3] ssList(skc9) ssItem(skc8) || equal(skc9,nil) -> totalorderedP(skc7)*.
% 7.40/7.58  3403[3:SSi:3396.1,3396.0,1.0,2.0] ||  -> equal(tl(skc7),skc9)**.
% 7.40/7.58  3415[3:Rew:3403.0,2447.3] ssList(u) ssList(v) || neq(nil,skc7) equal(skc9,v) equal(app(v,u),skc6)** equal(cons(hd(skc7),nil),u)* -> .
% 7.40/7.58  3420[3:SSi:3397.1,3397.0,1.0,2.0] ||  -> equal(hd(skc7),skc8)**.
% 7.40/7.58  3464[3:Rew:3420.0,3415.5] ssList(u) ssList(v) || neq(nil,skc7) equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  3483[3:SpL:3388.0,133.2] ssList(skc9) ssItem(skc8) || strictorderedP(skc7) -> strictorderedP(skc9)* equal(skc9,nil).
% 7.40/7.58  3488[3:SSi:3483.1,3483.0,2.0,1.0] || strictorderedP(skc7) -> strictorderedP(skc9)* equal(skc9,nil).
% 7.40/7.58  3489[5:MRR:3488.0,2452.0] ||  -> strictorderedP(skc9)* equal(skc9,nil).
% 7.40/7.58  8746[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  8770[10:SpL:2442.0,8746.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  8784[10:Obv:8770.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  8785[10:SSi:8784.1,8784.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  8816[10:Spt:8785.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  8818[10:Res:109.2,8816.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  8820[10:SSi:8818.1,8818.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2490.0,2467.0,2466.0,3.0,2462.0,2452.0,2448.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  8821[10:MRR:8820.0,1492.0] ||  -> .
% 7.40/7.58  8822[9:Spt:8821.0,442.0,2490.0] || duplicatefreeP(skc7)* -> .
% 7.40/7.58  8823[9:Spt:8821.0,442.1] ||  -> equal(skf76(skc7),skf75(skc7))**.
% 7.40/7.58  8985[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  9009[10:SpL:2442.0,8985.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  9023[10:Obv:9009.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  9024[10:SSi:9023.1,9023.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  9055[10:Spt:9024.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  9057[10:Res:109.2,9055.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  9059[10:SSi:9057.1,9057.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2467.0,2466.0,3.0,2462.0,2452.0,2448.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  9060[10:MRR:9059.0,1492.0] ||  -> .
% 7.40/7.58  9061[8:Spt:9060.0,395.0,2467.0] || strictorderP(skc7)* -> .
% 7.40/7.58  9062[8:Spt:9060.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  9266[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  9291[9:SpL:2442.0,9266.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  9305[9:Obv:9291.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  9306[9:SSi:9305.1,9305.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  9338[9:Spt:9306.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  9340[9:Res:109.2,9338.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  9342[9:SSi:9340.1,9340.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2466.0,3.0,2462.0,2452.0,2448.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  9343[9:MRR:9342.0,1492.0] ||  -> .
% 7.40/7.58  9344[7:Spt:9343.0,394.0,2466.0] || totalorderP(skc7)* -> .
% 7.40/7.58  9345[7:Spt:9343.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  9429[8:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  9433[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  9458[9:SpL:2442.0,9433.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  9472[9:Obv:9458.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  9473[9:SSi:9472.1,9472.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  9505[9:Spt:9473.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  9507[9:Res:109.2,9505.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  9509[9:SSi:9507.1,9507.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,2462.0,2452.0,2448.0,9429.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  9510[9:MRR:9509.0,1492.0] ||  -> .
% 7.40/7.58  9511[8:Spt:9510.0,395.0,9429.0] || strictorderP(skc7)* -> .
% 7.40/7.58  9512[8:Spt:9510.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  9585[3:SpL:3388.0,132.2] ssList(skc9) ssItem(skc8) || totalorderedP(skc7) -> totalorderedP(skc9)* equal(skc9,nil).
% 7.40/7.58  9593[3:SSi:9585.1,9585.0,2.0,1.0] || totalorderedP(skc7) -> totalorderedP(skc9)* equal(skc9,nil).
% 7.40/7.58  9594[4:MRR:9593.0,2448.0] ||  -> totalorderedP(skc9)* equal(skc9,nil).
% 7.40/7.58  9662[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  9690[9:SpL:2442.0,9662.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  9705[9:Obv:9690.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  9706[9:SSi:9705.1,9705.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  9739[9:Spt:9706.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  9741[9:Res:109.2,9739.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  9743[9:SSi:9741.1,9741.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,2462.0,2452.0,2448.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  9744[9:MRR:9743.0,1492.0] ||  -> .
% 7.40/7.58  9745[6:Spt:9744.0,441.0,2462.0] || cyclefreeP(skc7)* -> .
% 7.40/7.58  9746[6:Spt:9744.0,441.1] ||  -> leq(skf50(skc7),skf51(skc7))*.
% 7.40/7.58  9912[7:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  9917[8:Spt:221.0] ||  -> totalorderP(skc6)*.
% 7.40/7.58  9920[9:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  9921[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  9947[10:SpL:2442.0,9921.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  9962[10:Obv:9947.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  9963[10:SSi:9962.1,9962.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  9994[10:Spt:9963.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  9996[10:Res:109.2,9994.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  9998[10:SSi:9996.1,9996.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,2452.0,2448.0,9912.0,9920.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  9999[10:MRR:9998.0,1492.0] ||  -> .
% 7.40/7.58  10000[9:Spt:9999.0,394.0,9920.0] || totalorderP(skc7)* -> .
% 7.40/7.58  10001[9:Spt:9999.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  10052[10:Spt:3489.1] ||  -> equal(skc9,nil)**.
% 7.40/7.58  10054[10:Rew:10052.0,2442.0] ||  -> equal(app(nil,cons(skc8,nil)),skc6)**.
% 7.40/7.58  10060[10:Rew:10052.0,3388.0] ||  -> equal(cons(skc8,nil),skc7)**.
% 7.40/7.58  10112[10:Rew:10060.0,10054.0] ||  -> equal(app(nil,skc7),skc6)**.
% 7.40/7.58  10113[10:Rew:453.0,10112.0] ||  -> equal(skc7,skc6)**.
% 7.40/7.58  10135[10:Rew:10113.0,10000.0] || totalorderP(skc6)* -> .
% 7.40/7.58  10300[10:MRR:10135.0,9917.0] ||  -> .
% 7.40/7.58  10480[10:Spt:10300.0,3489.1,10052.0] || equal(skc9,nil)** -> .
% 7.40/7.58  10481[10:Spt:10300.0,3489.0] ||  -> strictorderedP(skc9)*.
% 7.40/7.58  10482[10:MRR:9594.1,10480.0] ||  -> totalorderedP(skc9)*.
% 7.40/7.58  10622[11:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  10646[11:SpL:2442.0,10622.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  10658[11:Obv:10646.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  10659[11:SSi:10658.1,10658.0,10481.0,1.1,10482.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.2,2.0,3066.0,2.0] ||  -> .
% 7.40/7.58  10690[11:Spt:10659.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  10692[11:Res:109.2,10690.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  10694[11:SSi:10692.1,10692.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,9912.0,3.0,2448.0,2452.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  10695[11:MRR:10694.0,1492.0] ||  -> .
% 7.40/7.58  10696[8:Spt:10695.0,221.0,9917.0] || totalorderP(skc6)* -> .
% 7.40/7.58  10697[8:Spt:10695.0,221.1] ||  -> equal(app(app(skf57(skc6),cons(skf55(skc6),skf58(skc6))),cons(skf56(skc6),skf59(skc6))),skc6)**.
% 7.40/7.58  10747[9:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  10788[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  10813[10:SpL:2442.0,10788.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  10827[10:Obv:10813.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  10828[10:SSi:10827.1,10827.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  10861[10:Spt:10828.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  10863[10:Res:109.2,10861.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  10865[10:SSi:10863.1,10863.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,9912.0,3.0,2448.0,2452.0,10747.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  10866[10:MRR:10865.0,1492.0] ||  -> .
% 7.40/7.58  10867[9:Spt:10866.0,394.0,10747.0] || totalorderP(skc7)* -> .
% 7.40/7.58  10868[9:Spt:10866.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  10974[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  11002[10:SpL:2442.0,10974.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  11017[10:Obv:11002.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  11018[10:SSi:11017.1,11017.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  11052[10:Spt:11018.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  11054[10:Res:109.2,11052.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  11056[10:SSi:11054.1,11054.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,9912.0,3.0,2448.0,2452.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  11057[10:MRR:11056.0,1492.0] ||  -> .
% 7.40/7.58  11058[7:Spt:11057.0,395.0,9912.0] || strictorderP(skc7)* -> .
% 7.40/7.58  11059[7:Spt:11057.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  11112[8:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  11125[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  11152[9:SpL:2442.0,11125.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  11167[9:Obv:11152.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  11168[9:SSi:11167.1,11167.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  11200[9:Spt:11168.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  11202[9:Res:109.2,11200.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  11204[9:SSi:11202.1,11202.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,2448.0,2452.0,11112.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  11205[9:MRR:11204.0,1492.0] ||  -> .
% 7.40/7.58  11206[8:Spt:11205.0,394.0,11112.0] || totalorderP(skc7)* -> .
% 7.40/7.58  11207[8:Spt:11205.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  11259[9:Spt:221.0] ||  -> totalorderP(skc6)*.
% 7.40/7.58  11264[10:Spt:9594.1] ||  -> equal(skc9,nil)**.
% 7.40/7.58  11273[10:Rew:11264.0,2442.0] ||  -> equal(app(nil,cons(skc8,nil)),skc6)**.
% 7.40/7.58  11274[10:Rew:11264.0,3388.0] ||  -> equal(cons(skc8,nil),skc7)**.
% 7.40/7.58  11326[10:Rew:11274.0,11273.0] ||  -> equal(app(nil,skc7),skc6)**.
% 7.40/7.58  11327[10:Rew:453.0,11326.0] ||  -> equal(skc7,skc6)**.
% 7.40/7.58  11352[10:Rew:11327.0,11206.0] || totalorderP(skc6)* -> .
% 7.40/7.58  11537[10:MRR:11352.0,11259.0] ||  -> .
% 7.40/7.58  11732[10:Spt:11537.0,9594.1,11264.0] || equal(skc9,nil)** -> .
% 7.40/7.58  11733[10:Spt:11537.0,9594.0] ||  -> totalorderedP(skc9)*.
% 7.40/7.58  11734[10:MRR:3489.1,11732.0] ||  -> strictorderedP(skc9)*.
% 7.40/7.58  11931[11:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  11956[11:SpL:2442.0,11931.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  11968[11:Obv:11956.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  11969[11:SSi:11968.1,11968.0,11733.0,1.1,11734.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.2,2.0,3066.0,2.0] ||  -> .
% 7.40/7.58  12000[11:Spt:11969.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  12002[11:Res:109.2,12000.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  12004[11:SSi:12002.1,12002.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2452.0,2448.0,3.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  12005[11:MRR:12004.0,1492.0] ||  -> .
% 7.40/7.58  12006[9:Spt:12005.0,221.0,11259.0] || totalorderP(skc6)* -> .
% 7.40/7.58  12007[9:Spt:12005.0,221.1] ||  -> equal(app(app(skf57(skc6),cons(skf55(skc6),skf58(skc6))),cons(skf56(skc6),skf59(skc6))),skc6)**.
% 7.40/7.58  12091[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  12118[10:SpL:2442.0,12091.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  12133[10:Obv:12118.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  12134[10:SSi:12133.1,12133.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  12167[10:Spt:12134.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  12169[10:Res:109.2,12167.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  12171[10:SSi:12169.1,12169.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2452.0,2448.0,3.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  12172[10:MRR:12171.0,1492.0] ||  -> .
% 7.40/7.58  12173[5:Spt:12172.0,397.0,2452.0] || strictorderedP(skc7)* -> .
% 7.40/7.58  12174[5:Spt:12172.0,397.1] ||  -> equal(app(app(skf72(skc7),cons(skf70(skc7),skf73(skc7))),cons(skf71(skc7),skf74(skc7))),skc7)**.
% 7.40/7.58  12185[3:SSi:3398.1,3398.0,2.0,1.0] || equal(skc9,nil) -> strictorderedP(skc7)*.
% 7.40/7.58  12186[5:MRR:12185.1,12173.0] || equal(skc9,nil)** -> .
% 7.40/7.58  12187[5:MRR:9594.1,12186.0] ||  -> totalorderedP(skc9)*.
% 7.40/7.58  12397[6:Spt:440.0] ||  -> cyclefreeP(skc7)*.
% 7.40/7.58  12401[7:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  12428[7:SpL:2442.0,12401.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  12440[7:Obv:12428.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  12441[7:SSi:12440.1,12440.0,1.0,12187.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  12473[7:Spt:12441.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  12475[7:Res:109.2,12473.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  12477[7:SSi:12475.1,12475.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2448.0,3.0,12397.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  12478[7:MRR:12477.0,1492.0] ||  -> .
% 7.40/7.58  12479[6:Spt:12478.0,440.0,12397.0] || cyclefreeP(skc7)* -> .
% 7.40/7.58  12480[6:Spt:12478.0,440.1] ||  -> leq(skf51(skc7),skf50(skc7))*.
% 7.40/7.58  12496[7:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  12499[8:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  12508[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  12535[9:SpL:2442.0,12508.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  12547[9:Obv:12535.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  12548[9:SSi:12547.1,12547.0,1.0,12187.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  12580[9:Spt:12548.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  12582[9:Res:109.2,12580.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  12584[9:SSi:12582.1,12582.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2448.0,3.0,12496.0,12499.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  12585[9:MRR:12584.0,1492.0] ||  -> .
% 7.40/7.58  12586[8:Spt:12585.0,395.0,12499.0] || strictorderP(skc7)* -> .
% 7.40/7.58  12587[8:Spt:12585.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  12659[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  12687[9:SpL:2442.0,12659.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  12699[9:Obv:12687.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  12700[9:SSi:12699.1,12699.0,1.0,12187.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  12733[9:Spt:12700.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  12735[9:Res:109.2,12733.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  12737[9:SSi:12735.1,12735.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2448.0,3.0,12496.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  12738[9:MRR:12737.0,1492.0] ||  -> .
% 7.40/7.58  12739[7:Spt:12738.0,394.0,12496.0] || totalorderP(skc7)* -> .
% 7.40/7.58  12740[7:Spt:12738.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  12793[8:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  12806[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  12834[9:SpL:2442.0,12806.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  12846[9:Obv:12834.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  12847[9:SSi:12846.1,12846.0,1.0,12187.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  12880[9:Spt:12847.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  12882[9:Res:109.2,12880.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  12884[9:SSi:12882.1,12882.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2448.0,3.0,12793.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  12885[9:MRR:12884.0,1492.0] ||  -> .
% 7.40/7.58  12886[8:Spt:12885.0,395.0,12793.0] || strictorderP(skc7)* -> .
% 7.40/7.58  12887[8:Spt:12885.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  12948[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  12977[9:SpL:2442.0,12948.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  12989[9:Obv:12977.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  12990[9:SSi:12989.1,12989.0,1.0,12187.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  13024[9:Spt:12990.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13026[9:Res:109.2,13024.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13028[9:SSi:13026.1,13026.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,2448.0,3.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13029[9:MRR:13028.0,1492.0] ||  -> .
% 7.40/7.58  13030[4:Spt:13029.0,396.0,2448.0] || totalorderedP(skc7)* -> .
% 7.40/7.58  13031[4:Spt:13029.0,396.1] ||  -> equal(app(app(skf67(skc7),cons(skf65(skc7),skf68(skc7))),cons(skf66(skc7),skf69(skc7))),skc7)**.
% 7.40/7.58  13042[3:SSi:3399.1,3399.0,2.0,1.0] || equal(skc9,nil) -> totalorderedP(skc7)*.
% 7.40/7.58  13043[4:MRR:13042.1,13030.0] || equal(skc9,nil)** -> .
% 7.40/7.58  13044[4:MRR:3488.2,13043.0] || strictorderedP(skc7) -> strictorderedP(skc9)*.
% 7.40/7.58  13142[5:Spt:397.0] ||  -> strictorderedP(skc7)*.
% 7.40/7.58  13144[5:MRR:13044.0,13142.0] ||  -> strictorderedP(skc9)*.
% 7.40/7.58  13147[6:Spt:441.0] ||  -> cyclefreeP(skc7)*.
% 7.40/7.58  13152[7:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  13179[7:SpL:2442.0,13152.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  13191[7:Obv:13179.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  13192[7:SSi:13191.1,13191.0,1.0,13144.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  13224[7:Spt:13192.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13226[7:Res:109.2,13224.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13228[7:SSi:13226.1,13226.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13142.0,13147.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13229[7:MRR:13228.0,1492.0] ||  -> .
% 7.40/7.58  13230[6:Spt:13229.0,441.0,13147.0] || cyclefreeP(skc7)* -> .
% 7.40/7.58  13231[6:Spt:13229.0,441.1] ||  -> leq(skf50(skc7),skf51(skc7))*.
% 7.40/7.58  13248[7:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  13252[8:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  13264[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  13291[9:SpL:2442.0,13264.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  13303[9:Obv:13291.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  13304[9:SSi:13303.1,13303.0,1.0,13144.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  13336[9:Spt:13304.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13338[9:Res:109.2,13336.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13340[9:SSi:13338.1,13338.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13142.0,13248.0,13252.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13341[9:MRR:13340.0,1492.0] ||  -> .
% 7.40/7.58  13342[8:Spt:13341.0,394.0,13252.0] || totalorderP(skc7)* -> .
% 7.40/7.58  13343[8:Spt:13341.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  13405[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  13433[9:SpL:2442.0,13405.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  13445[9:Obv:13433.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  13446[9:SSi:13445.1,13445.0,1.0,13144.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  13478[9:Spt:13446.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13480[9:Res:109.2,13478.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13482[9:SSi:13480.1,13480.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13142.0,13248.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13483[9:MRR:13482.0,1492.0] ||  -> .
% 7.40/7.58  13484[7:Spt:13483.0,395.0,13248.0] || strictorderP(skc7)* -> .
% 7.40/7.58  13485[7:Spt:13483.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  13537[8:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  13560[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  13588[9:SpL:2442.0,13560.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  13600[9:Obv:13588.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  13601[9:SSi:13600.1,13600.0,1.0,13144.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  13633[9:Spt:13601.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13635[9:Res:109.2,13633.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13637[9:SSi:13635.1,13635.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13142.0,13537.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13638[9:MRR:13637.0,1492.0] ||  -> .
% 7.40/7.58  13639[8:Spt:13638.0,394.0,13537.0] || totalorderP(skc7)* -> .
% 7.40/7.58  13640[8:Spt:13638.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  13697[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  13726[9:SpL:2442.0,13697.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  13738[9:Obv:13726.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  13739[9:SSi:13738.1,13738.0,1.0,13144.1,90.0,2.1,14.0,13.1,10.0,9.1,8.0,12.1,11.0,7.1,79.0,2.1,78.0,2.1,75.0,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.2,3066.0,2.0] ||  -> .
% 7.40/7.58  13772[9:Spt:13739.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13774[9:Res:109.2,13772.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13776[9:SSi:13774.1,13774.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13142.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13777[9:MRR:13776.0,1492.0] ||  -> .
% 7.40/7.58  13778[5:Spt:13777.0,397.0,13142.0] || strictorderedP(skc7)* -> .
% 7.40/7.58  13779[5:Spt:13777.0,397.1] ||  -> equal(app(app(skf72(skc7),cons(skf70(skc7),skf73(skc7))),cons(skf71(skc7),skf74(skc7))),skc7)**.
% 7.40/7.58  13843[6:Spt:440.0] ||  -> cyclefreeP(skc7)*.
% 7.40/7.58  13897[7:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  13900[8:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  13928[8:SpL:2442.0,13900.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  13940[8:Obv:13928.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  13941[8:SSi:13940.1,13940.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  13974[8:Spt:13941.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  13976[8:Res:109.2,13974.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  13978[8:SSi:13976.1,13976.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13843.0,13897.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  13979[8:MRR:13978.0,1492.0] ||  -> .
% 7.40/7.58  13980[7:Spt:13979.0,394.0,13897.0] || totalorderP(skc7)* -> .
% 7.40/7.58  13981[7:Spt:13979.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  14031[8:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  14043[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14072[9:SpL:2442.0,14043.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14084[9:Obv:14072.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14085[9:SSi:14084.1,14084.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14119[9:Spt:14085.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14121[9:Res:109.2,14119.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14123[9:SSi:14121.1,14121.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13843.0,14031.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14124[9:MRR:14123.0,1492.0] ||  -> .
% 7.40/7.58  14125[8:Spt:14124.0,395.0,14031.0] || strictorderP(skc7)* -> .
% 7.40/7.58  14126[8:Spt:14124.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  14184[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14214[9:SpL:2442.0,14184.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14226[9:Obv:14214.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14227[9:SSi:14226.1,14226.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14262[9:Spt:14227.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14264[9:Res:109.2,14262.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14266[9:SSi:14264.1,14264.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,13843.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14267[9:MRR:14266.0,1492.0] ||  -> .
% 7.40/7.58  14268[6:Spt:14267.0,440.0,13843.0] || cyclefreeP(skc7)* -> .
% 7.40/7.58  14269[6:Spt:14267.0,440.1] ||  -> leq(skf51(skc7),skf50(skc7))*.
% 7.40/7.58  14305[7:Spt:395.0] ||  -> strictorderP(skc7)*.
% 7.40/7.58  14310[8:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  14319[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14347[9:SpL:2442.0,14319.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14359[9:Obv:14347.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14360[9:SSi:14359.1,14359.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14393[9:Spt:14360.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14395[9:Res:109.2,14393.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14397[9:SSi:14395.1,14395.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,14305.0,14310.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14398[9:MRR:14397.0,1492.0] ||  -> .
% 7.40/7.58  14399[8:Spt:14398.0,394.0,14310.0] || totalorderP(skc7)* -> .
% 7.40/7.58  14400[8:Spt:14398.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  14454[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14483[9:SpL:2442.0,14454.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14495[9:Obv:14483.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14496[9:SSi:14495.1,14495.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14530[9:Spt:14496.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14532[9:Res:109.2,14530.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14534[9:SSi:14532.1,14532.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,14305.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14535[9:MRR:14534.0,1492.0] ||  -> .
% 7.40/7.58  14536[7:Spt:14535.0,395.0,14305.0] || strictorderP(skc7)* -> .
% 7.40/7.58  14537[7:Spt:14535.0,395.1] ||  -> equal(app(app(skf62(skc7),cons(skf60(skc7),skf63(skc7))),cons(skf61(skc7),skf64(skc7))),skc7)**.
% 7.40/7.58  14590[8:Spt:394.0] ||  -> totalorderP(skc7)*.
% 7.40/7.58  14598[9:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14627[9:SpL:2442.0,14598.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14639[9:Obv:14627.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14640[9:SSi:14639.1,14639.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14674[9:Spt:14640.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14676[9:Res:109.2,14674.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14678[9:SSi:14676.1,14676.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,14590.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14679[9:MRR:14678.0,1492.0] ||  -> .
% 7.40/7.58  14680[8:Spt:14679.0,394.0,14590.0] || totalorderP(skc7)* -> .
% 7.40/7.58  14681[8:Spt:14679.0,394.1] ||  -> equal(app(app(skf57(skc7),cons(skf55(skc7),skf58(skc7))),cons(skf56(skc7),skf59(skc7))),skc7)**.
% 7.40/7.58  14734[9:Spt:442.0] ||  -> duplicatefreeP(skc7)*.
% 7.40/7.58  14736[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14766[10:SpL:2442.0,14736.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14778[10:Obv:14766.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14779[10:SSi:14778.1,14778.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14814[10:Spt:14779.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14816[10:Res:109.2,14814.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14818[10:SSi:14816.1,14816.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0,14734.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14819[10:MRR:14818.0,1492.0] ||  -> .
% 7.40/7.58  14820[9:Spt:14819.0,442.0,14734.0] || duplicatefreeP(skc7)* -> .
% 7.40/7.58  14821[9:Spt:14819.0,442.1] ||  -> equal(skf76(skc7),skf75(skc7))**.
% 7.40/7.58  14888[10:Spt:3464.0,3464.1,3464.3,3464.4,3464.5] ssList(u) ssList(v) || equal(skc9,v) equal(app(v,u),skc6)** equal(cons(skc8,nil),u) -> .
% 7.40/7.58  14918[10:SpL:2442.0,14888.3] ssList(cons(skc8,nil)) ssList(skc9) || equal(skc9,skc9) equal(skc6,skc6) equal(cons(skc8,nil),cons(skc8,nil))* -> .
% 7.40/7.58  14930[10:Obv:14918.4] ssList(cons(skc8,nil)) ssList(skc9) ||  -> .
% 7.40/7.58  14931[10:SSi:14930.1,14930.0,1.0,90.1,2.0,14.1,13.0,10.1,9.0,8.1,12.0,11.1,7.0,79.1,2.0,78.1,2.0,75.1,2.0,74.0,2.0,73.0,2.0,77.0,2.0,76.0,2.0,3066.2,2.0] ||  -> .
% 7.40/7.58  14966[10:Spt:14931.0,3464.2] || neq(nil,skc7)* -> .
% 7.40/7.58  14968[10:Res:109.2,14966.0] ssList(skc7) ssList(nil) ||  -> equal(skc7,nil)**.
% 7.40/7.58  14970[10:SSi:14968.1,14968.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0,3.0] ||  -> equal(skc7,nil)**.
% 7.40/7.58  14971[10:MRR:14970.0,1492.0] ||  -> .
% 7.40/7.58  14972[1:Spt:14971.0,420.1] ||  -> equal(skc7,nil)**.
% 7.40/7.58  15099[1:Rew:14972.0,70.1,14972.0,70.0] || SkP0(skc6,nil) -> neq(nil,nil)*.
% 7.40/7.58  15106[1:Rew:14972.0,69.0] || equal(nil,nil) -> equal(skc6,nil)**.
% 7.40/7.58  15107[1:Obv:15106.0] ||  -> equal(skc6,nil)**.
% 7.40/7.58  15303[1:Rew:15107.0,15099.0] || SkP0(nil,nil) -> neq(nil,nil)*.
% 8.27/8.45  15744[2:Spt:15303.0] || SkP0(nil,nil)* -> .
% 8.27/8.45  15745[2:Res:71.1,15744.0] || equal(nil,nil)* -> .
% 8.27/8.45  15747[2:Obv:15745.0] ||  -> .
% 8.27/8.45  15748[2:Spt:15747.0,15303.0,15744.0] ||  -> SkP0(nil,nil)*.
% 8.27/8.45  15749[2:Spt:15747.0,15303.1] ||  -> neq(nil,nil)*.
% 8.27/8.45  15755[2:Res:15749.0,123.3] ssList(nil) ssList(nil) || equal(nil,nil)* -> .
% 8.27/8.45  15757[2:Obv:15755.2] ssList(nil) ||  -> .
% 8.27/8.45  15758[2:SSi:15757.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0] ||  -> .
% 8.27/8.45  % SZS output end Refutation
% 8.27/8.45  Formulae used in the proof : co1 ax2 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax75 ax8 ax13 ax16 ax15 ax23 ax25 ax4 ax67 ax70 ax81 ax85 ax12 ax11 ax10 ax9
% 8.27/8.45  
%------------------------------------------------------------------------------