TSTP Solution File: SWC389+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC389+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 22:03:46 EDT 2022
% Result : Theorem 24.52s 24.69s
% Output : Refutation 27.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC389+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 12 14:11:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 24.52/24.69
% 24.52/24.69 SPASS V 3.9
% 24.52/24.69 SPASS beiseite: Proof found.
% 24.52/24.69 % SZS status Theorem
% 24.52/24.69 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.52/24.69 SPASS derived 16882 clauses, backtracked 5141 clauses, performed 65 splits and kept 10060 clauses.
% 24.52/24.69 SPASS allocated 121830 KBytes.
% 24.52/24.69 SPASS spent 0:0:24.29 on the problem.
% 24.52/24.69 0:00:00.04 for the input.
% 24.52/24.69 0:00:00.07 for the FLOTTER CNF translation.
% 24.52/24.69 0:00:00.27 for inferences.
% 24.52/24.69 0:00:00.97 for the backtracking.
% 24.52/24.69 0:0:22.61 for the reduction.
% 24.52/24.69
% 24.52/24.69
% 24.52/24.69 Here is a proof with depth 6, length 214 :
% 24.52/24.69 % SZS output start Refutation
% 24.52/24.69 1[0:Inp] || -> ssList(skc5)*.
% 24.52/24.69 2[0:Inp] || -> ssList(skc4)*.
% 24.52/24.69 3[0:Inp] || -> ssItem(skc7)*.
% 24.52/24.69 4[0:Inp] || -> ssItem(skc6)*.
% 24.52/24.69 5[0:Inp] || -> ssList(nil)*.
% 24.52/24.69 6[0:Inp] || -> cyclefreeP(nil)*.
% 24.52/24.69 7[0:Inp] || -> totalorderP(nil)*.
% 24.52/24.69 8[0:Inp] || -> strictorderP(nil)*.
% 24.52/24.69 9[0:Inp] || -> totalorderedP(nil)*.
% 24.52/24.69 10[0:Inp] || -> strictorderedP(nil)*.
% 24.52/24.69 11[0:Inp] || -> duplicatefreeP(nil)*.
% 24.52/24.69 12[0:Inp] || -> equalelemsP(nil)*.
% 24.52/24.69 29[0:Inp] || -> ssList(skf75(u))*.
% 24.52/24.69 30[0:Inp] || -> ssList(skf74(u))*.
% 24.52/24.69 31[0:Inp] || -> ssList(skf73(u))*.
% 24.52/24.69 32[0:Inp] || -> ssItem(skf72(u))*.
% 24.52/24.69 33[0:Inp] || -> ssItem(skf71(u))*.
% 24.52/24.69 51[0:Inp] || -> ssList(skf48(u,v))*.
% 24.52/24.69 52[0:Inp] || -> ssList(skf47(u,v))*.
% 24.52/24.69 53[0:Inp] || -> ssItem(skf46(u,v))*.
% 24.52/24.69 54[0:Inp] || equal(skc7,skc6)** -> .
% 24.52/24.69 66[0:Inp] ssList(u) || -> segmentP(u,u)*.
% 24.52/24.69 67[0:Inp] ssList(u) || -> segmentP(u,nil)*.
% 24.52/24.69 69[0:Inp] || SkP0(skc5,skc4)* -> equal(nil,skc5).
% 24.52/24.69 70[0:Inp] || SkP0(skc5,skc4)* -> equal(nil,skc4).
% 24.52/24.69 71[0:Inp] || segmentP(skc5,skc4) -> neq(skc5,nil)*.
% 24.52/24.69 72[0:Inp] || singletonP(skc4) segmentP(skc5,skc4)* -> .
% 24.52/24.69 74[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*.
% 24.52/24.69 75[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*.
% 24.52/24.69 76[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*.
% 24.52/24.69 77[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 24.52/24.69 78[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 24.52/24.69 79[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*.
% 24.52/24.69 80[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*.
% 24.52/24.69 82[0:Inp] ssList(u) || -> equal(app(nil,u),u)**.
% 24.52/24.69 88[0:Inp] || -> SkP0(u,v) equal(cons(skf46(u,v),nil),v)**.
% 24.52/24.69 92[0:Inp] ssItem(u) ssList(v) || -> ssList(cons(u,v))*.
% 24.52/24.69 93[0:Inp] ssList(u) ssList(v) || -> ssList(app(v,u))*.
% 24.52/24.69 98[0:Inp] ssList(u) || segmentP(nil,u)* -> equal(nil,u).
% 24.52/24.69 99[0:Inp] ssList(u) || equal(nil,u) -> segmentP(nil,u)*.
% 24.52/24.69 104[0:Inp] ssList(u) || leq(skf71(u),skf72(u))* -> totalorderedP(u).
% 24.52/24.69 110[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),v)** -> .
% 24.52/24.69 112[0:Inp] ssItem(u) ssList(v) || -> equal(hd(cons(u,v)),u)**.
% 24.52/24.69 120[0:Inp] ssItem(u) ssItem(v) || lt(v,u) -> leq(v,u)*.
% 24.52/24.69 121[0:Inp] || -> SkP0(u,v) equal(app(app(skf47(u,v),v),skf48(v,u)),u)**.
% 24.52/24.69 123[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)* -> singletonP(u)*.
% 24.52/24.69 124[0:Inp] ssList(u) ssList(v) || equal(v,u) neq(v,u)* -> .
% 24.52/24.69 130[0:Inp] ssItem(u) ssList(v) || -> equal(app(cons(u,nil),v),cons(u,v))**.
% 24.52/24.69 135[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(hd(app(v,u)),hd(v))**.
% 24.52/24.69 163[0:Inp] ssList(u) ssList(v) ssList(w) || -> equal(app(app(w,v),u),app(w,app(v,u)))**.
% 24.52/24.69 177[0:Inp] ssList(u) || -> strictorderedP(u) equal(app(app(skf78(u),cons(skf76(u),skf79(u))),cons(skf77(u),skf80(u))),u)**.
% 24.52/24.69 178[0:Inp] ssList(u) || -> totalorderedP(u) equal(app(app(skf73(u),cons(skf71(u),skf74(u))),cons(skf72(u),skf75(u))),u)**.
% 24.52/24.69 189[0:Inp] ssList(u) ssList(v) ssList(w) ssList(x) || equal(app(app(u,x),v),w)* -> segmentP(w,x)*.
% 24.52/24.69 191[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).
% 24.52/24.69 194[0:Inp] ssList(u) ssList(v) ssList(w) ssList(x) ssItem(y) ssItem(z) strictorderedP(u) || equal(app(app(x,cons(z,w)),cons(y,v)),u)* -> lt(z,y).
% 24.52/24.69 200[0:Rew:70.1,69.1] || SkP0(skc5,skc4)* -> equal(skc5,skc4).
% 24.52/24.69 205[0:Rew:163.3,189.4] ssList(u) ssList(v) ssList(w) ssList(x) || equal(app(x,app(u,w)),v)*+ -> segmentP(v,u)*.
% 24.52/24.69 224[0:Res:2.0,178.0] || -> totalorderedP(skc4) equal(app(app(skf73(skc4),cons(skf71(skc4),skf74(skc4))),cons(skf72(skc4),skf75(skc4))),skc4)**.
% 24.52/24.69 225[0:Res:2.0,177.0] || -> strictorderedP(skc4) equal(app(app(skf78(skc4),cons(skf76(skc4),skf79(skc4))),cons(skf77(skc4),skf80(skc4))),skc4)**.
% 24.52/24.69 248[0:Res:2.0,135.0] ssList(u) || -> equal(nil,skc4) equal(hd(app(skc4,u)),hd(skc4))**.
% 24.52/24.69 257[0:Res:2.0,110.0] ssItem(u) || equal(cons(u,skc4),skc4)** -> .
% 24.52/24.69 259[0:Res:2.0,112.0] ssItem(u) || -> equal(hd(cons(u,skc4)),u)**.
% 24.52/24.69 271[0:Res:2.0,92.0] ssItem(u) || -> ssList(cons(u,skc4))*.
% 24.52/24.69 277[0:Res:2.0,98.0] || segmentP(nil,skc4)* -> equal(nil,skc4).
% 24.52/24.69 278[0:Res:2.0,99.0] || equal(nil,skc4) -> segmentP(nil,skc4)*.
% 24.52/24.69 287[0:Res:2.0,66.0] || -> segmentP(skc4,skc4)*.
% 24.52/24.69 289[0:Res:2.0,191.1] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u) equal(nil,skc4).
% 24.52/24.69 324[0:Res:2.0,123.1] ssItem(u) || equal(cons(u,nil),skc4)** -> singletonP(skc4).
% 24.52/24.69 419[0:Res:1.0,135.0] ssList(u) || -> equal(nil,skc5) equal(hd(app(skc5,u)),hd(skc5))**.
% 24.52/24.69 420[0:Res:1.0,130.0] ssItem(u) || -> equal(app(cons(u,nil),skc5),cons(u,skc5))**.
% 24.52/24.69 428[0:Res:1.0,110.0] ssItem(u) || equal(cons(u,skc5),skc5)** -> .
% 24.52/24.69 452[0:Res:1.0,82.0] || -> equal(app(nil,skc5),skc5)**.
% 24.52/24.69 459[0:Res:1.0,67.0] || -> segmentP(skc5,nil)*.
% 24.52/24.69 460[0:Res:1.0,191.1] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u) equal(nil,skc5).
% 24.52/24.69 552[1:Spt:419.0,419.2] ssList(u) || -> equal(hd(app(skc5,u)),hd(skc5))**.
% 24.52/24.69 554[2:Spt:248.0,248.2] ssList(u) || -> equal(hd(app(skc4,u)),hd(skc4))**.
% 24.52/24.69 560[3:Spt:460.5] || -> equal(nil,skc5)**.
% 24.52/24.69 658[3:Rew:560.0,82.1] ssList(u) || -> equal(app(skc5,u),u)**.
% 24.52/24.69 717[3:Rew:658.1,552.1] ssList(u) || -> equal(hd(u),hd(skc5))*.
% 24.52/24.69 1360[3:SpR:717.1,259.1] ssList(cons(u,skc4)) ssItem(u) || -> equal(hd(skc5),u)*.
% 24.52/24.69 1365[3:SSi:1360.0,271.1] ssItem(u) || -> equal(hd(skc5),u)*.
% 24.52/24.69 1372[3:SpR:1365.1,1365.1] ssItem(u) ssItem(v) || -> equal(u,v)*.
% 24.52/24.69 1551[3:EmS:1372.0,3.0] ssItem(u) || -> equal(skc7,u)*.
% 24.52/24.69 1574[3:EmS:1551.0,4.0] || -> equal(skc7,skc6)**.
% 24.52/24.69 1575[3:MRR:1574.0,54.0] || -> .
% 24.52/24.69 1755[3:Spt:1575.0,460.5,560.0] || equal(nil,skc5)** -> .
% 24.52/24.69 1756[3:Spt:1575.0,460.0,460.1,460.2,460.3,460.4] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u).
% 24.52/24.69 1780[4:Spt:289.5] || -> equal(nil,skc4)**.
% 24.52/24.69 1797[4:Rew:1780.0,1755.0] || equal(skc5,skc4)** -> .
% 24.52/24.69 1817[4:Rew:1780.0,74.1] ssItem(u) || -> cyclefreeP(cons(u,skc4))*.
% 24.52/24.69 1818[4:Rew:1780.0,75.1] ssItem(u) || -> totalorderP(cons(u,skc4))*.
% 24.52/24.69 1819[4:Rew:1780.0,76.1] ssItem(u) || -> strictorderP(cons(u,skc4))*.
% 24.52/24.69 1820[4:Rew:1780.0,77.1] ssItem(u) || -> totalorderedP(cons(u,skc4))*.
% 24.52/24.69 1821[4:Rew:1780.0,78.1] ssItem(u) || -> strictorderedP(cons(u,skc4))*.
% 24.52/24.69 1822[4:Rew:1780.0,79.1] ssItem(u) || -> duplicatefreeP(cons(u,skc4))*.
% 24.52/24.69 1823[4:Rew:1780.0,80.1] ssItem(u) || -> equalelemsP(cons(u,skc4))*.
% 24.52/24.69 1829[4:Rew:1780.0,82.1] ssList(u) || -> equal(app(skc4,u),u)**.
% 24.52/24.69 1858[4:Rew:1780.0,88.1] || -> SkP0(u,v) equal(cons(skf46(u,v),skc4),v)**.
% 24.52/24.69 1878[4:MRR:200.1,1797.0] || SkP0(skc5,skc4)* -> .
% 24.52/24.69 1915[4:Rew:1829.1,554.1] ssList(u) || -> equal(hd(u),hd(skc4))*.
% 24.52/24.69 1986[4:SpR:1915.1,259.1] ssList(cons(u,skc4)) ssItem(u) || -> equal(hd(skc4),u)*.
% 24.52/24.69 1996[4:SSi:1986.0,271.1,1817.1,1818.1,1819.1,1820.1,1821.1,1822.1,1823.1] ssItem(u) || -> equal(hd(skc4),u)*.
% 24.52/24.69 2166[4:SpR:1858.1,259.1] ssItem(skf46(u,v)) || -> SkP0(u,v) equal(skf46(u,v),hd(v))**.
% 24.52/24.69 2188[4:SSi:2166.0,53.0] || -> SkP0(u,v) equal(skf46(u,v),hd(v))**.
% 24.52/24.69 2189[4:Rew:2188.1,1858.1] || -> SkP0(u,v)* equal(cons(hd(v),skc4),v)**.
% 24.52/24.69 2212[4:SpR:1996.1,2189.1] ssItem(u) || -> SkP0(v,skc4)* equal(cons(u,skc4),skc4)**.
% 24.52/24.69 2216[4:MRR:2212.2,257.1] ssItem(u) || -> SkP0(v,skc4)*.
% 24.52/24.69 2244[4:EmS:2216.0,4.0] || -> SkP0(u,skc4)*.
% 24.52/24.69 2265[4:UnC:2244.0,1878.0] || -> .
% 24.52/24.69 2266[4:Spt:2265.0,289.5,1780.0] || equal(nil,skc4)** -> .
% 24.52/24.69 2267[4:Spt:2265.0,289.0,289.1,289.2,289.3,289.4] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u).
% 24.52/24.69 2273[4:MRR:70.1,2266.0] || SkP0(skc5,skc4)* -> .
% 24.52/24.69 2310[5:Spt:72.0] || singletonP(skc4)* -> .
% 24.52/24.69 2311[5:MRR:324.2,2310.0] ssItem(u) || equal(cons(u,nil),skc4)** -> .
% 24.52/24.69 2384[0:SpR:88.1,92.2] ssItem(skf46(u,v)) ssList(nil) || -> SkP0(u,v)* ssList(v).
% 24.52/24.69 2393[5:SpL:88.1,2311.1] ssItem(skf46(u,v)) || equal(v,skc4) -> SkP0(u,v)*.
% 24.52/24.69 2401[5:SSi:2393.0,53.0] || equal(u,skc4) -> SkP0(v,u)*.
% 24.52/24.69 2402[0:SSi:2384.1,2384.0,12.0,11.0,10.0,9.0,8.0,7.0,6.0,5.0,53.0] || -> SkP0(u,v)* ssList(v).
% 27.58/27.77 2412[5:Res:2401.1,2273.0] || equal(skc4,skc4)* -> .
% 27.58/27.77 2413[5:Obv:2412.0] || -> .
% 27.58/27.77 2414[5:Spt:2413.0,72.0,2310.0] || -> singletonP(skc4)*.
% 27.58/27.77 2415[5:Spt:2413.0,72.1] || segmentP(skc5,skc4)* -> .
% 27.58/27.77 2550[0:SpR:88.1,112.2] ssItem(skf46(u,v)) ssList(nil) || -> SkP0(u,v) equal(skf46(u,v),hd(v))**.
% 27.58/27.77 2554[0:SSi:2550.1,2550.0,12.0,11.0,10.0,9.0,8.0,7.0,6.0,5.0,53.0] || -> SkP0(u,v) equal(skf46(u,v),hd(v))**.
% 27.58/27.77 2555[0:Rew:2554.1,88.1] || -> SkP0(u,v)* equal(cons(hd(v),nil),v)**.
% 27.58/27.77 2644[0:SpR:2554.1,53.0] || -> SkP0(u,v)* ssItem(hd(v)).
% 27.58/27.77 2862[0:SpR:2555.1,420.1] ssItem(hd(u)) || -> SkP0(v,u)* equal(cons(hd(u),skc5),app(u,skc5))**.
% 27.58/27.77 2866[0:MRR:2862.0,2644.1] || -> SkP0(u,v)* equal(cons(hd(v),skc5),app(v,skc5))**.
% 27.58/27.77 2955[0:Res:120.3,104.1] ssItem(skf72(u)) ssItem(skf71(u)) ssList(u) || lt(skf71(u),skf72(u))* -> totalorderedP(u).
% 27.58/27.77 2958[0:SSi:2955.1,2955.0,33.0,32.0] ssList(u) || lt(skf71(u),skf72(u))* -> totalorderedP(u).
% 27.58/27.77 2976[0:SpL:2866.1,428.1] ssItem(hd(u)) || equal(app(u,skc5),skc5)** -> SkP0(v,u)*.
% 27.58/27.77 2984[0:MRR:2976.0,2644.1] || equal(app(u,skc5),skc5)** -> SkP0(v,u)*.
% 27.58/27.77 3133[0:SpL:452.0,2984.0] || equal(skc5,skc5) -> SkP0(u,nil)*.
% 27.58/27.77 3135[0:Obv:3133.0] || -> SkP0(u,nil)*.
% 27.58/27.77 5365[0:SpR:163.3,121.1] ssList(skf48(u,v)) ssList(u) ssList(skf47(v,u)) || -> SkP0(v,u) equal(app(skf47(v,u),app(u,skf48(u,v))),v)**.
% 27.58/27.77 5423[0:SSi:5365.2,5365.0,52.0,51.0] ssList(u) || -> SkP0(v,u) equal(app(skf47(v,u),app(u,skf48(u,v))),v)**.
% 27.58/27.77 5424[0:MRR:5423.0,2402.1] || -> SkP0(u,v) equal(app(skf47(u,v),app(v,skf48(v,u))),u)**.
% 27.58/27.77 7350[0:EqR:205.4] ssList(u) ssList(app(v,app(u,w))) ssList(w) ssList(v) || -> segmentP(app(v,app(u,w)),u)*.
% 27.58/27.77 7387[0:SSi:7350.1,93.2,93.2] ssList(u) ssList(v) ssList(w) || -> segmentP(app(w,app(u,v)),u)*.
% 27.58/27.77 8304[0:SpL:178.2,194.7] ssList(u) ssList(v) ssList(skf75(u)) ssList(skf74(u)) ssList(skf73(u)) ssItem(skf72(u)) ssItem(skf71(u)) strictorderedP(v) || equal(u,v)* -> totalorderedP(u) lt(skf71(u),skf72(u))*.
% 27.58/27.77 8327[0:SSi:8304.6,8304.5,8304.4,8304.3,8304.2,33.0,32.0,31.0,30.0,29.0] ssList(u) ssList(v) strictorderedP(v) || equal(u,v)* -> totalorderedP(u) lt(skf71(u),skf72(u))*.
% 27.58/27.77 8328[0:MRR:8327.5,2958.1] ssList(u) ssList(v) strictorderedP(v) || equal(u,v)*+ -> totalorderedP(u)*.
% 27.58/27.77 18406[0:EqR:8328.3] ssList(u) ssList(u) strictorderedP(u) || -> totalorderedP(u)*.
% 27.58/27.77 18407[0:Obv:18406.0] ssList(u) strictorderedP(u) || -> totalorderedP(u)*.
% 27.58/27.77 20923[0:SpR:5424.1,7387.3] ssList(u) ssList(skf48(u,v)) ssList(skf47(v,u)) || -> SkP0(v,u)* segmentP(v,u).
% 27.58/27.77 20951[0:SSi:20923.2,20923.1,52.0,51.0] ssList(u) || -> SkP0(v,u)* segmentP(v,u).
% 27.58/27.77 20952[0:MRR:20951.0,2402.1] || -> SkP0(u,v)* segmentP(u,v).
% 27.58/27.77 21026[4:Res:20952.0,2273.0] || -> segmentP(skc5,skc4)*.
% 27.58/27.77 21027[5:MRR:21026.0,2415.0] || -> .
% 27.58/27.77 21028[2:Spt:21027.0,248.1] || -> equal(nil,skc4)**.
% 27.58/27.77 21063[2:Rew:21028.0,12.0] || -> equalelemsP(skc4)*.
% 27.58/27.77 21064[2:Rew:21028.0,11.0] || -> duplicatefreeP(skc4)*.
% 27.58/27.77 21065[2:Rew:21028.0,10.0] || -> strictorderedP(skc4)*.
% 27.58/27.77 21066[2:Rew:21028.0,9.0] || -> totalorderedP(skc4)*.
% 27.58/27.77 21067[2:Rew:21028.0,8.0] || -> strictorderP(skc4)*.
% 27.58/27.77 21068[2:Rew:21028.0,7.0] || -> totalorderP(skc4)*.
% 27.58/27.77 21069[2:Rew:21028.0,6.0] || -> cyclefreeP(skc4)*.
% 27.58/27.77 21072[2:Rew:21028.0,459.0] || -> segmentP(skc5,skc4)*.
% 27.58/27.77 21565[2:Rew:21028.0,3135.0] || -> SkP0(u,skc4)*.
% 27.58/27.77 21596[2:Rew:21028.0,71.1] || segmentP(skc5,skc4) -> neq(skc5,skc4)*.
% 27.58/27.77 21597[2:MRR:21596.0,21072.0] || -> neq(skc5,skc4)*.
% 27.58/27.77 21604[2:MRR:200.0,21565.0] || -> equal(skc5,skc4)**.
% 27.58/27.77 21792[2:Rew:21604.0,21597.0] || -> neq(skc4,skc4)*.
% 27.58/27.77 23182[2:Res:21792.0,124.3] ssList(skc4) ssList(skc4) || equal(skc4,skc4)* -> .
% 27.58/27.77 23189[2:Obv:23182.2] ssList(skc4) || -> .
% 27.58/27.77 23190[2:SSi:23189.0,2.0,21063.0,21064.0,21065.0,21066.0,21067.0,21068.0,21069.0] || -> .
% 27.58/27.77 23192[1:Spt:23190.0,419.1] || -> equal(nil,skc5)**.
% 27.58/27.77 23194[1:Rew:23192.0,6.0] || -> cyclefreeP(skc5)*.
% 27.58/27.77 23195[1:Rew:23192.0,7.0] || -> totalorderP(skc5)*.
% 27.58/27.77 23196[1:Rew:23192.0,8.0] || -> strictorderP(skc5)*.
% 27.58/27.77 23198[1:Rew:23192.0,10.0] || -> strictorderedP(skc5)*.
% 27.58/27.77 23199[1:Rew:23192.0,11.0] || -> duplicatefreeP(skc5)*.
% 27.58/27.77 23200[1:Rew:23192.0,12.0] || -> equalelemsP(skc5)*.
% 27.58/27.77 23237[1:Rew:23192.0,71.1] || segmentP(skc5,skc4) -> neq(skc5,skc5)*.
% 27.58/27.77 23238[1:Rew:23192.0,277.1,23192.0,277.0] || segmentP(skc5,skc4)* -> equal(skc5,skc4).
% 27.58/27.77 23239[1:Rew:23238.1,23237.1] || segmentP(skc5,skc4) -> neq(skc4,skc4)*.
% 27.58/27.77 23242[1:Rew:23192.0,70.1] || SkP0(skc5,skc4)* -> equal(skc5,skc4).
% 27.58/27.77 23243[1:Rew:23192.0,278.1,23192.0,278.0] || equal(skc5,skc4) -> segmentP(skc5,skc4)*.
% 27.58/27.77 24706[2:Spt:225.0] || -> strictorderedP(skc4)*.
% 27.58/27.77 24709[3:Spt:224.0] || -> totalorderedP(skc4)*.
% 27.58/27.77 24713[4:Spt:72.1] || segmentP(skc5,skc4)* -> .
% 27.58/27.77 24714[4:MRR:23243.1,24713.0] || equal(skc5,skc4)** -> .
% 27.58/27.77 24719[4:MRR:23242.1,24714.0] || SkP0(skc5,skc4)* -> .
% 27.58/27.77 24755[4:Res:20952.0,24719.0] || -> segmentP(skc5,skc4)*.
% 27.58/27.77 24770[4:MRR:24755.0,24713.0] || -> .
% 27.58/27.77 24771[4:Spt:24770.0,72.1,24713.0] || -> segmentP(skc5,skc4)*.
% 27.58/27.77 24772[4:Spt:24770.0,72.0] || singletonP(skc4)* -> .
% 27.58/27.77 24773[4:MRR:23238.0,24771.0] || -> equal(skc5,skc4)**.
% 27.58/27.77 24776[4:Rew:24773.0,23194.0] || -> cyclefreeP(skc4)*.
% 27.58/27.77 24777[4:Rew:24773.0,23195.0] || -> totalorderP(skc4)*.
% 27.58/27.77 24778[4:Rew:24773.0,23196.0] || -> strictorderP(skc4)*.
% 27.58/27.77 24781[4:Rew:24773.0,23199.0] || -> duplicatefreeP(skc4)*.
% 27.58/27.77 24782[4:Rew:24773.0,23200.0] || -> equalelemsP(skc4)*.
% 27.58/27.77 25447[4:Rew:24773.0,23239.0] || segmentP(skc4,skc4) -> neq(skc4,skc4)*.
% 27.58/27.77 25448[4:MRR:25447.0,287.0] || -> neq(skc4,skc4)*.
% 27.58/27.77 25845[4:Res:25448.0,124.3] ssList(skc4) ssList(skc4) || equal(skc4,skc4)* -> .
% 27.58/27.77 25852[4:Obv:25845.2] ssList(skc4) || -> .
% 27.58/27.77 25853[4:SSi:25852.0,2.0,24706.0,24709.0,24776.0,24777.0,24778.0,24781.0,24782.0] || -> .
% 27.58/27.77 25855[3:Spt:25853.0,224.0,24709.0] || totalorderedP(skc4)* -> .
% 27.58/27.77 25856[3:Spt:25853.0,224.1] || -> equal(app(app(skf73(skc4),cons(skf71(skc4),skf74(skc4))),cons(skf72(skc4),skf75(skc4))),skc4)**.
% 27.58/27.77 25989[3:Res:18407.2,25855.0] ssList(skc4) strictorderedP(skc4) || -> .
% 27.58/27.77 26010[3:SSi:25989.1,25989.0,2.0,24706.0,2.0,24706.0] || -> .
% 27.58/27.77 26015[2:Spt:26010.0,225.0,24706.0] || strictorderedP(skc4)* -> .
% 27.58/27.77 26016[2:Spt:26010.0,225.1] || -> equal(app(app(skf78(skc4),cons(skf76(skc4),skf79(skc4))),cons(skf77(skc4),skf80(skc4))),skc4)**.
% 27.58/27.77 26107[3:Spt:72.1] || segmentP(skc5,skc4)* -> .
% 27.58/27.77 26108[3:MRR:23243.1,26107.0] || equal(skc5,skc4)** -> .
% 27.58/27.77 26113[3:MRR:23242.1,26108.0] || SkP0(skc5,skc4)* -> .
% 27.58/27.77 26144[3:Res:20952.0,26113.0] || -> segmentP(skc5,skc4)*.
% 27.58/27.77 26160[3:MRR:26144.0,26107.0] || -> .
% 27.58/27.77 26161[3:Spt:26160.0,72.1,26107.0] || -> segmentP(skc5,skc4)*.
% 27.58/27.77 26162[3:Spt:26160.0,72.0] || singletonP(skc4)* -> .
% 27.58/27.77 26163[3:MRR:23238.0,26161.0] || -> equal(skc5,skc4)**.
% 27.58/27.77 26166[3:Rew:26163.0,23198.0] || -> strictorderedP(skc4)*.
% 27.58/27.77 26810[3:MRR:26166.0,26015.0] || -> .
% 27.58/27.77 % SZS output end Refutation
% 27.58/27.77 Formulae used in the proof : co1 ax2 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax11 ax55 ax57 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax16 ax26 ax58 ax18 ax23 ax93 ax4 ax15 ax81 ax85 ax82 ax12 ax7 ax77
% 27.58/27.77
%------------------------------------------------------------------------------