TSTP Solution File: SWC014+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC014+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 22:01:05 EDT 2022
% Result : Theorem 1.62s 1.79s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC014+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 22:15:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.62/1.79
% 1.62/1.79 SPASS V 3.9
% 1.62/1.79 SPASS beiseite: Proof found.
% 1.62/1.79 % SZS status Theorem
% 1.62/1.79 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.62/1.79 SPASS derived 3065 clauses, backtracked 1618 clauses, performed 26 splits and kept 2867 clauses.
% 1.62/1.79 SPASS allocated 101591 KBytes.
% 1.62/1.79 SPASS spent 0:00:01.45 on the problem.
% 1.62/1.79 0:00:00.04 for the input.
% 1.62/1.79 0:00:00.06 for the FLOTTER CNF translation.
% 1.62/1.79 0:00:00.02 for inferences.
% 1.62/1.79 0:00:00.02 for the backtracking.
% 1.62/1.79 0:00:01.13 for the reduction.
% 1.62/1.79
% 1.62/1.79
% 1.62/1.79 Here is a proof with depth 6, length 178 :
% 1.62/1.79 % SZS output start Refutation
% 1.62/1.79 1[0:Inp] || -> ssList(skc5)*.
% 1.62/1.79 2[0:Inp] || -> ssList(skc4)*.
% 1.62/1.79 3[0:Inp] || -> ssItem(skc7)*.
% 1.62/1.79 4[0:Inp] || -> ssItem(skc6)*.
% 1.62/1.79 5[0:Inp] || -> ssList(nil)*.
% 1.62/1.79 6[0:Inp] || -> cyclefreeP(nil)*.
% 1.62/1.79 7[0:Inp] || -> totalorderP(nil)*.
% 1.62/1.79 8[0:Inp] || -> strictorderP(nil)*.
% 1.62/1.79 9[0:Inp] || -> totalorderedP(nil)*.
% 1.62/1.79 10[0:Inp] || -> strictorderedP(nil)*.
% 1.62/1.79 11[0:Inp] || -> duplicatefreeP(nil)*.
% 1.62/1.79 12[0:Inp] || -> equalelemsP(nil)*.
% 1.62/1.79 51[0:Inp] || -> ssList(skf46(u,v))*.
% 1.62/1.79 52[0:Inp] || -> ssItem(skf45(u,v))*.
% 1.62/1.79 53[0:Inp] || equal(skc7,skc6)** -> .
% 1.62/1.79 60[0:Inp] || -> SkP0(u,v)* neq(v,nil).
% 1.62/1.79 69[0:Inp] || SkP0(skc4,skc5)* -> neq(skc5,nil).
% 1.62/1.79 71[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*.
% 1.62/1.79 72[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*.
% 1.62/1.79 73[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*.
% 1.62/1.79 74[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 1.62/1.79 75[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 1.62/1.79 76[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*.
% 1.62/1.79 77[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*.
% 1.62/1.79 79[0:Inp] || neq(skc5,nil) SkP0(skc4,skc5)* -> .
% 1.62/1.79 80[0:Inp] ssList(u) || -> equal(app(nil,u),u)**.
% 1.62/1.79 85[0:Inp] ssList(u) || -> ssList(tl(u))* equal(nil,u).
% 1.62/1.79 86[0:Inp] || -> SkP0(u,v) equal(cons(skf45(u,v),nil),u)**.
% 1.62/1.79 90[0:Inp] ssItem(u) ssList(v) || -> ssList(cons(u,v))*.
% 1.62/1.79 91[0:Inp] ssList(u) ssList(v) || -> ssList(app(v,u))*.
% 1.62/1.79 107[0:Inp] ssList(u) ssList(v) || -> neq(v,u)* equal(v,u).
% 1.62/1.79 108[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),v)** -> .
% 1.62/1.79 109[0:Inp] ssItem(u) ssList(v) || equal(cons(u,v),nil)** -> .
% 1.62/1.79 110[0:Inp] ssItem(u) ssList(v) || -> equal(hd(cons(u,v)),u)**.
% 1.62/1.79 111[0:Inp] ssItem(u) ssList(v) || -> equal(tl(cons(u,v)),v)**.
% 1.62/1.79 117[0:Inp] ssList(u) || -> equal(nil,u) equal(cons(hd(u),tl(u)),u)**.
% 1.62/1.79 119[0:Inp] || -> equal(app(cons(skf45(u,v),nil),skf46(v,u)),v)** SkP0(u,v).
% 1.62/1.79 122[0:Inp] ssList(u) ssList(v) || equal(v,u) neq(v,u)* -> .
% 1.62/1.79 128[0:Inp] ssItem(u) ssList(v) || -> equal(app(cons(u,nil),v),cons(u,v))**.
% 1.62/1.79 130[0:Inp] ssList(u) ssList(v) || equal(app(v,u),nil)** -> equal(nil,v).
% 1.62/1.79 133[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(hd(app(v,u)),hd(v))**.
% 1.62/1.79 154[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(app(tl(v),u),tl(app(v,u)))**.
% 1.62/1.79 173[0:Inp] ssList(u) || -> strictorderedP(u) equal(app(app(skf76(u),cons(skf74(u),skf77(u))),cons(skf75(u),skf78(u))),u)**.
% 1.62/1.79 174[0:Inp] ssList(u) || -> totalorderedP(u) equal(app(app(skf71(u),cons(skf69(u),skf72(u))),cons(skf70(u),skf73(u))),u)**.
% 1.62/1.79 180[0:Inp] ssList(u) || ssList(tl(u)) neq(nil,u) equal(app(v,tl(u)),u)** -> SkP0(v,u).
% 1.62/1.79 188[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).
% 1.62/1.79 197[0:MRR:69.0,60.1] || -> neq(skc5,nil)*.
% 1.62/1.79 198[0:MRR:79.0,197.0] || SkP0(skc4,skc5)* -> .
% 1.62/1.79 199[0:Rew:86.0,119.0] || -> SkP0(u,v) equal(app(u,skf46(v,u)),v)**.
% 1.62/1.79 224[0:Res:2.0,174.0] || -> totalorderedP(skc4) equal(app(app(skf71(skc4),cons(skf69(skc4),skf72(skc4))),cons(skf70(skc4),skf73(skc4))),skc4)**.
% 1.62/1.79 225[0:Res:2.0,173.0] || -> strictorderedP(skc4) equal(app(app(skf76(skc4),cons(skf74(skc4),skf77(skc4))),cons(skf75(skc4),skf78(skc4))),skc4)**.
% 1.62/1.79 242[0:Res:2.0,154.0] ssList(u) || -> equal(skc4,nil) equal(app(tl(skc4),u),tl(app(skc4,u)))**.
% 1.62/1.79 248[0:Res:2.0,133.0] ssList(u) || -> equal(skc4,nil) equal(hd(app(skc4,u)),hd(skc4))**.
% 1.62/1.79 249[0:Res:2.0,128.0] ssItem(u) || -> equal(app(cons(u,nil),skc4),cons(u,skc4))**.
% 1.62/1.79 251[0:Res:2.0,130.0] ssList(u) || equal(app(skc4,u),nil)** -> equal(skc4,nil).
% 1.62/1.79 257[0:Res:2.0,108.0] ssItem(u) || equal(cons(u,skc4),skc4)** -> .
% 1.62/1.79 258[0:Res:2.0,109.0] ssItem(u) || equal(cons(u,skc4),nil)** -> .
% 1.62/1.79 281[0:Res:2.0,80.0] || -> equal(app(nil,skc4),skc4)**.
% 1.62/1.79 289[0:Res:2.0,188.1] ssList(u) || equal(tl(skc4),tl(u)) equal(hd(skc4),hd(u))* -> equal(nil,u) equal(skc4,u) equal(skc4,nil).
% 1.62/1.79 420[0:Res:1.0,133.0] ssList(u) || -> equal(skc5,nil) equal(hd(app(skc5,u)),hd(skc5))**.
% 1.62/1.79 426[0:Res:1.0,117.0] || -> equal(skc5,nil) equal(cons(hd(skc5),tl(skc5)),skc5)**.
% 1.62/1.79 431[0:Res:1.0,110.0] ssItem(u) || -> equal(hd(cons(u,skc5)),u)**.
% 1.62/1.79 443[0:Res:1.0,90.0] ssItem(u) || -> ssList(cons(u,skc5))*.
% 1.62/1.79 452[0:Res:1.0,85.0] || -> ssList(tl(skc5))* equal(skc5,nil).
% 1.62/1.79 461[0:Res:1.0,188.1] ssList(u) || equal(tl(skc5),tl(u)) equal(hd(skc5),hd(u))* -> equal(nil,u) equal(skc5,u) equal(skc5,nil).
% 1.62/1.79 500[0:Res:1.0,107.1] ssList(u) || -> neq(u,skc5)* equal(u,skc5).
% 1.62/1.79 549[1:Spt:420.0,420.2] ssList(u) || -> equal(hd(app(skc5,u)),hd(skc5))**.
% 1.62/1.79 553[2:Spt:248.0,248.2] ssList(u) || -> equal(hd(app(skc4,u)),hd(skc4))**.
% 1.62/1.79 555[3:Spt:242.0,242.2] ssList(u) || -> equal(app(tl(skc4),u),tl(app(skc4,u)))**.
% 1.62/1.79 557[4:Spt:461.5] || -> equal(skc5,nil)**.
% 1.62/1.79 558[4:Rew:557.0,549.1] ssList(u) || -> equal(hd(app(nil,u)),hd(nil))**.
% 1.62/1.79 575[4:Rew:557.0,443.1] ssItem(u) || -> ssList(cons(u,nil))*.
% 1.62/1.79 576[4:Rew:557.0,431.1] ssItem(u) || -> equal(hd(cons(u,nil)),u)**.
% 1.62/1.79 730[4:Rew:80.1,558.1] ssList(u) || -> equal(hd(u),hd(nil))*.
% 1.62/1.79 1184[4:SpR:576.1,730.1] ssItem(u) ssList(cons(u,nil)) || -> equal(u,hd(nil))*.
% 1.62/1.79 1187[4:SSi:1184.1,77.1,76.1,73.1,72.1,71.1,75.1,74.1,575.1] ssItem(u) || -> equal(u,hd(nil))*.
% 1.62/1.79 1256[4:SpR:1187.1,1187.1] ssItem(u) ssItem(v) || -> equal(v,u)*.
% 1.62/1.79 1297[4:EmS:1256.0,3.0] ssItem(u) || -> equal(u,skc7)*.
% 1.62/1.79 1319[4:EmS:1297.0,4.0] || -> equal(skc7,skc6)**.
% 1.62/1.79 1320[4:MRR:1319.0,53.0] || -> .
% 1.62/1.79 1456[4:Spt:1320.0,461.5,557.0] || equal(skc5,nil)** -> .
% 1.62/1.79 1457[4:Spt:1320.0,461.0,461.1,461.2,461.3,461.4] ssList(u) || equal(tl(skc5),tl(u)) equal(hd(skc5),hd(u))* -> equal(nil,u) equal(skc5,u).
% 1.62/1.79 1458[4:MRR:452.1,1456.0] || -> ssList(tl(skc5))*.
% 1.62/1.79 1463[4:MRR:426.0,1456.0] || -> equal(cons(hd(skc5),tl(skc5)),skc5)**.
% 1.62/1.79 1473[5:Spt:289.5] || -> equal(skc4,nil)**.
% 1.62/1.79 1481[5:Rew:1473.0,198.0] || SkP0(nil,skc5)* -> .
% 1.62/1.79 1514[5:Rew:1473.0,258.1] ssItem(u) || equal(cons(u,nil),nil)** -> .
% 1.62/1.80 1813[0:SpR:86.1,77.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* equalelemsP(u).
% 1.62/1.80 1814[0:SpR:86.1,76.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* duplicatefreeP(u).
% 1.62/1.80 1815[0:SpR:86.1,73.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* strictorderP(u).
% 1.62/1.80 1816[0:SpR:86.1,72.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* totalorderP(u).
% 1.62/1.80 1817[0:SpR:86.1,71.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* cyclefreeP(u).
% 1.62/1.80 1818[0:SpR:86.1,75.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* strictorderedP(u).
% 1.62/1.80 1819[0:SpR:86.1,74.1] ssItem(skf45(u,v)) || -> SkP0(u,v)* totalorderedP(u).
% 1.62/1.80 1822[0:SpR:86.1,90.2] ssItem(skf45(u,v)) ssList(nil) || -> SkP0(u,v)* ssList(u).
% 1.62/1.80 1824[5:SpL:86.1,1514.1] ssItem(skf45(u,v)) || equal(u,nil) -> SkP0(u,v)*.
% 1.62/1.80 1825[0:SSi:1813.0,52.0] || -> SkP0(u,v)* equalelemsP(u).
% 1.62/1.80 1826[0:SSi:1814.0,52.0] || -> SkP0(u,v)* duplicatefreeP(u).
% 1.62/1.80 1827[0:SSi:1815.0,52.0] || -> SkP0(u,v)* strictorderP(u).
% 1.62/1.80 1828[0:SSi:1816.0,52.0] || -> SkP0(u,v)* totalorderP(u).
% 1.62/1.80 1829[0:SSi:1817.0,52.0] || -> SkP0(u,v)* cyclefreeP(u).
% 1.62/1.80 1830[0:SSi:1818.0,52.0] || -> SkP0(u,v)* strictorderedP(u).
% 1.62/1.80 1831[0:SSi:1819.0,52.0] || -> SkP0(u,v)* totalorderedP(u).
% 1.62/1.80 1834[5:SSi:1824.0,52.0] || equal(u,nil) -> SkP0(u,v)*.
% 1.62/1.80 1842[0:SpR:199.1,91.2] ssList(skf46(u,v)) ssList(v) || -> SkP0(v,u)* ssList(u).
% 1.62/1.80 1847[0:SSi:1842.0,51.0] ssList(u) || -> SkP0(u,v)* ssList(v).
% 1.62/1.80 1872[5:Res:1834.1,1481.0] || equal(nil,nil)* -> .
% 1.62/1.80 1873[5:Obv:1872.0] || -> .
% 1.62/1.80 1874[5:Spt:1873.0,289.5,1473.0] || equal(skc4,nil)** -> .
% 1.62/1.80 1875[5:Spt:1873.0,289.0,289.1,289.2,289.3,289.4] ssList(u) || equal(tl(skc4),tl(u)) equal(hd(skc4),hd(u))* -> equal(nil,u) equal(skc4,u).
% 1.62/1.80 1886[5:MRR:251.2,1874.0] ssList(u) || equal(app(skc4,u),nil)** -> .
% 1.62/1.80 1889[0:SSi:1822.1,1822.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0,52.0] || -> SkP0(u,v)* ssList(u).
% 1.62/1.80 1890[0:MRR:1847.0,1889.1] || -> SkP0(u,v)* ssList(v).
% 1.62/1.80 1894[0:MRR:180.0,1890.1] || ssList(tl(u)) neq(nil,u) equal(app(v,tl(u)),u)** -> SkP0(v,u).
% 1.62/1.80 1903[6:Spt:224.0] || -> totalorderedP(skc4)*.
% 1.62/1.80 1907[7:Spt:225.0] || -> strictorderedP(skc4)*.
% 1.62/1.80 1910[0:Res:1831.0,198.0] || -> totalorderedP(skc4)*.
% 1.66/1.84 1911[0:Res:1830.0,198.0] || -> strictorderedP(skc4)*.
% 1.66/1.84 1912[0:Res:1829.0,198.0] || -> cyclefreeP(skc4)*.
% 1.66/1.84 1913[0:Res:1828.0,198.0] || -> totalorderP(skc4)*.
% 1.66/1.84 1914[0:Res:1827.0,198.0] || -> strictorderP(skc4)*.
% 1.66/1.84 1915[0:Res:1826.0,198.0] || -> duplicatefreeP(skc4)*.
% 1.66/1.84 1916[0:Res:1825.0,198.0] || -> equalelemsP(skc4)*.
% 1.66/1.84 1976[0:SpL:86.1,109.2] ssItem(skf45(u,v)) ssList(nil) || equal(u,nil) -> SkP0(u,v)*.
% 1.66/1.84 1977[0:SSi:1976.1,1976.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0,52.0] || equal(u,nil) -> SkP0(u,v)*.
% 1.66/1.84 2012[0:SpR:86.1,111.2] ssItem(skf45(u,v)) ssList(nil) || -> SkP0(u,v)* equal(tl(u),nil).
% 1.66/1.84 2017[0:SSi:2012.1,2012.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0,52.0] || -> SkP0(u,v)* equal(tl(u),nil).
% 1.66/1.84 2039[0:SpR:86.1,110.2] ssItem(skf45(u,v)) ssList(nil) || -> SkP0(u,v) equal(skf45(u,v),hd(u))**.
% 1.66/1.84 2045[0:SSi:2039.1,2039.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0,52.0] || -> SkP0(u,v) equal(skf45(u,v),hd(u))**.
% 1.66/1.84 2046[0:Rew:2045.1,86.1] || -> SkP0(u,v)* equal(cons(hd(u),nil),u)**.
% 1.66/1.84 2056[0:Res:2017.0,198.0] || -> equal(tl(skc4),nil)**.
% 1.66/1.84 2061[3:Rew:2056.0,555.1] ssList(u) || -> equal(tl(app(skc4,u)),app(nil,u))**.
% 1.66/1.84 2065[3:Rew:80.1,2061.1] ssList(u) || -> equal(tl(app(skc4,u)),u)**.
% 1.66/1.84 2125[3:SpR:199.1,2065.1] ssList(skf46(u,skc4)) || -> SkP0(skc4,u) equal(skf46(u,skc4),tl(u))**.
% 1.66/1.84 2126[7:SSi:2125.0,51.0,2.0,1903.0,1907.0,1912.0,1913.0,1914.0,1915.0,1916.0] || -> SkP0(skc4,u) equal(skf46(u,skc4),tl(u))**.
% 1.66/1.84 2127[7:SpR:2126.1,51.0] || -> SkP0(skc4,u)* ssList(tl(u)).
% 1.66/1.84 2129[7:SpR:2126.1,199.1] || -> SkP0(skc4,u) SkP0(skc4,u) equal(app(skc4,tl(u)),u)**.
% 1.66/1.84 2130[7:Obv:2129.0] || -> SkP0(skc4,u) equal(app(skc4,tl(u)),u)**.
% 1.66/1.84 2147[0:SpR:2045.1,52.0] || -> SkP0(u,v)* ssItem(hd(u)).
% 1.66/1.84 2166[7:SpR:2130.1,553.1] ssList(tl(u)) || -> SkP0(skc4,u)* equal(hd(u),hd(skc4)).
% 1.66/1.84 2167[7:MRR:2166.0,2127.1] || -> SkP0(skc4,u)* equal(hd(u),hd(skc4)).
% 1.66/1.84 2171[7:Res:2167.0,198.0] || -> equal(hd(skc5),hd(skc4))**.
% 1.66/1.84 2173[7:Rew:2171.0,1463.0] || -> equal(cons(hd(skc4),tl(skc5)),skc5)**.
% 1.66/1.84 2460[3:SpR:2065.1,117.2] ssList(u) ssList(app(skc4,u)) || -> equal(app(skc4,u),nil) equal(cons(hd(app(skc4,u)),u),app(skc4,u))**.
% 1.66/1.84 2467[3:Rew:553.1,2460.3] ssList(u) ssList(app(skc4,u)) || -> equal(app(skc4,u),nil) equal(cons(hd(skc4),u),app(skc4,u))**.
% 1.66/1.84 2468[7:SSi:2467.1,91.0,2.0,1903.0,1907.0,1912.0,1913.0,1914.0,1915.0,1916.2] ssList(u) || -> equal(app(skc4,u),nil) equal(cons(hd(skc4),u),app(skc4,u))**.
% 1.66/1.84 2469[7:MRR:2468.1,1886.1] ssList(u) || -> equal(cons(hd(skc4),u),app(skc4,u))**.
% 1.66/1.84 2630[0:SpR:2046.1,249.1] ssItem(hd(u)) || -> SkP0(u,v)* equal(cons(hd(u),skc4),app(u,skc4))**.
% 1.66/1.84 2635[0:MRR:2630.0,2147.1] || -> SkP0(u,v)* equal(cons(hd(u),skc4),app(u,skc4))**.
% 1.66/1.84 2935[0:SpL:2635.1,257.1] ssItem(hd(u)) || equal(app(u,skc4),skc4)** -> SkP0(u,v)*.
% 1.66/1.84 2939[0:MRR:2935.0,2147.1] || equal(app(u,skc4),skc4)** -> SkP0(u,v)*.
% 1.66/1.84 3009[0:SpL:281.0,2939.0] || equal(skc4,skc4) -> SkP0(nil,u)*.
% 1.66/1.84 3012[0:Obv:3009.0] || -> SkP0(nil,u)*.
% 1.66/1.84 3483[0:Res:197.0,122.3] ssList(nil) ssList(skc5) || equal(skc5,nil)** -> .
% 1.66/1.84 3491[0:Res:1977.1,198.0] || equal(skc4,nil)** -> .
% 1.66/1.84 3570[7:SpR:2173.0,2469.1] ssList(tl(skc5)) || -> equal(app(skc4,tl(skc5)),skc5)**.
% 1.66/1.84 3579[7:SSi:3570.0,1458.0] || -> equal(app(skc4,tl(skc5)),skc5)**.
% 1.66/1.84 4186[7:SpL:3579.0,1894.2] || ssList(tl(skc5)) neq(nil,skc5) equal(skc5,skc5) -> SkP0(skc4,skc5)*.
% 1.66/1.84 4188[7:Obv:4186.2] || ssList(tl(skc5)) neq(nil,skc5) -> SkP0(skc4,skc5)*.
% 1.66/1.84 4189[7:MRR:4188.0,4188.2,1458.0,198.0] || neq(nil,skc5)* -> .
% 1.66/1.84 4212[7:Res:500.1,4189.0] ssList(nil) || -> equal(skc5,nil)**.
% 1.66/1.84 4213[7:SSi:4212.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0] || -> equal(skc5,nil)**.
% 1.66/1.84 4214[7:MRR:4213.0,1456.0] || -> .
% 1.66/1.84 4218[7:Spt:4214.0,225.0,1907.0] || strictorderedP(skc4)* -> .
% 1.66/1.84 4219[7:Spt:4214.0,225.1] || -> equal(app(app(skf76(skc4),cons(skf74(skc4),skf77(skc4))),cons(skf75(skc4),skf78(skc4))),skc4)**.
% 1.66/1.84 4220[7:MRR:4218.0,1911.0] || -> .
% 1.66/1.84 4302[6:Spt:4220.0,224.0,1903.0] || totalorderedP(skc4)* -> .
% 1.66/1.84 4303[6:Spt:4220.0,224.1] || -> equal(app(app(skf71(skc4),cons(skf69(skc4),skf72(skc4))),cons(skf70(skc4),skf73(skc4))),skc4)**.
% 1.66/1.84 4304[6:MRR:4302.0,1910.0] || -> .
% 1.66/1.84 4352[3:Spt:4304.0,242.1] || -> equal(skc4,nil)**.
% 1.66/1.84 4388[3:Rew:4352.0,198.0] || SkP0(nil,skc5)* -> .
% 1.66/1.84 4496[3:MRR:4388.0,3012.0] || -> .
% 1.66/1.84 4508[0:SSi:3483.1,3483.0,1.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0] || equal(skc5,nil)** -> .
% 1.66/1.84 4696[2:Spt:4496.0,248.1] || -> equal(skc4,nil)**.
% 1.66/1.84 4720[2:Rew:4696.0,3491.0] || equal(nil,nil)* -> .
% 1.66/1.84 4721[2:Obv:4720.0] || -> .
% 1.66/1.84 4959[1:Spt:4721.0,420.1] || -> equal(skc5,nil)**.
% 1.66/1.84 4960[1:MRR:4959.0,4508.0] || -> .
% 1.66/1.84 % SZS output end Refutation
% 1.66/1.84 Formulae used in the proof : co1 ax2 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax76 ax16 ax26 ax15 ax18 ax21 ax23 ax25 ax78 ax81 ax83 ax85 ax86 ax12 ax11 ax77
% 1.66/1.84
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