TSTP Solution File: SWC330-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC330-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 22:03:21 EDT 2022
% Result : Unsatisfiable 69.08s 69.33s
% Output : Refutation 85.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC330-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 11 22:19:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 69.08/69.33
% 69.08/69.33 SPASS V 3.9
% 69.08/69.33 SPASS beiseite: Proof found.
% 69.08/69.33 % SZS status Theorem
% 69.08/69.33 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.08/69.33 SPASS derived 39298 clauses, backtracked 17871 clauses, performed 136 splits and kept 27328 clauses.
% 69.08/69.33 SPASS allocated 119740 KBytes.
% 69.08/69.33 SPASS spent 0:01:08.90 on the problem.
% 69.08/69.33 0:00:00.04 for the input.
% 69.08/69.33 0:00:00.00 for the FLOTTER CNF translation.
% 69.08/69.33 0:00:00.59 for inferences.
% 69.08/69.33 0:00:03.23 for the backtracking.
% 69.08/69.33 0:01:04.42 for the reduction.
% 69.08/69.33
% 69.08/69.33
% 69.08/69.33 Here is a proof with depth 4, length 189 :
% 69.08/69.33 % SZS output start Refutation
% 69.08/69.33 1[0:Inp] || -> ssList(sk1)*.
% 69.08/69.33 2[0:Inp] || -> ssList(sk2)*.
% 69.08/69.33 5[0:Inp] || -> equal(sk4,sk2)**.
% 69.08/69.33 6[0:Inp] || -> equal(sk3,sk1)**.
% 69.08/69.33 8[0:Inp] || -> ssItem(sk5)* equal(nil,sk3).
% 69.08/69.33 15[0:Inp] || -> ssList(sk6)* equal(nil,sk3).
% 69.08/69.33 16[0:Inp] || -> ssList(sk7)* equal(nil,sk3).
% 69.08/69.33 17[0:Inp] || -> equal(cons(sk5,nil),sk3)** equal(nil,sk3).
% 69.08/69.33 18[0:Inp] || -> equal(app(app(sk6,sk3),sk7),sk4)** equal(nil,sk3).
% 69.08/69.33 21[0:Inp] || equalelemsP(sk1) segmentP(sk2,sk1)* -> .
% 69.08/69.33 22[0:Inp] || -> equalelemsP(nil)*.
% 69.08/69.33 23[0:Inp] || -> duplicatefreeP(nil)*.
% 69.08/69.33 24[0:Inp] || -> strictorderedP(nil)*.
% 69.08/69.33 25[0:Inp] || -> totalorderedP(nil)*.
% 69.08/69.33 26[0:Inp] || -> strictorderP(nil)*.
% 69.08/69.33 27[0:Inp] || -> totalorderP(nil)*.
% 69.08/69.33 28[0:Inp] || -> cyclefreeP(nil)*.
% 69.08/69.33 29[0:Inp] || -> ssList(nil)*.
% 69.08/69.33 77[0:Inp] ssList(u) || -> segmentP(u,nil)*.
% 69.08/69.33 85[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*.
% 69.08/69.33 86[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*.
% 69.08/69.33 87[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*.
% 69.08/69.33 88[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 69.08/69.33 89[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*.
% 69.08/69.33 90[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*.
% 69.08/69.33 91[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*.
% 69.08/69.33 93[0:Inp] ssList(u) || -> ssItem(v)* duplicatefreeP(u)*.
% 69.08/69.33 94[0:Inp] ssList(u) || -> equal(app(u,nil),u)**.
% 69.08/69.33 95[0:Inp] ssList(u) || -> equal(app(nil,u),u)**.
% 69.08/69.33 106[0:Inp] ssList(u) ssList(v) || -> ssList(app(u,v))*.
% 69.08/69.33 108[0:Inp] ssList(u) || -> cyclefreeP(u) leq(skaf50(u),skaf49(u))*.
% 69.08/69.33 137[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)* -> singletonP(u)*.
% 69.08/69.33 170[0:Inp] ssList(u) ssList(v) ssList(w) || -> equal(app(app(u,v),w),app(u,app(v,w)))**.
% 69.08/69.33 184[0:Inp] ssList(u) || -> strictorderedP(u) equal(app(app(skaf71(u),cons(skaf69(u),skaf72(u))),cons(skaf70(u),skaf73(u))),u)**.
% 69.08/69.33 185[0:Inp] ssList(u) || -> totalorderedP(u) equal(app(app(skaf66(u),cons(skaf64(u),skaf67(u))),cons(skaf65(u),skaf68(u))),u)**.
% 69.08/69.33 193[0:Inp] ssList(u) ssList(v) ssList(w) ssList(x) || segmentP(x,w) -> segmentP(app(app(v,x),u),w)*.
% 69.08/69.33 194[0:Inp] ssList(u) ssList(v) ssList(w) ssList(x) || equal(app(app(v,w),u),x)* -> segmentP(x,w)*.
% 69.08/69.33 198[0:Inp] ssList(u) ssList(v) || equal(hd(v),hd(u))* equal(tl(v),tl(u)) -> equal(v,u) equal(nil,v) equal(nil,u).
% 69.08/69.33 209[0:Rew:6.0,16.1] || -> ssList(sk7)* equal(nil,sk1).
% 69.08/69.33 210[0:Rew:6.0,15.1] || -> ssList(sk6)* equal(nil,sk1).
% 69.08/69.33 213[0:Rew:6.0,8.1] || -> ssItem(sk5)* equal(nil,sk1).
% 69.08/69.33 215[0:Rew:6.0,17.1,6.0,17.0] || -> equal(nil,sk1) equal(cons(sk5,nil),sk1)**.
% 69.08/69.33 217[0:Rew:6.0,18.1,6.0,18.0,5.0,18.0] || -> equal(nil,sk1) equal(app(app(sk6,sk1),sk7),sk2)**.
% 69.08/69.33 225[0:Rew:170.3,193.5] ssList(u) ssList(v) ssList(w) ssList(x) || segmentP(u,v) -> segmentP(app(w,app(u,x)),v)*.
% 69.08/69.33 226[0:Rew:170.3,194.4] ssList(u) ssList(v) ssList(w) ssList(x) || equal(app(w,app(v,x)),u)*+ -> segmentP(u,v)*.
% 69.08/69.33 307[0:Res:2.0,95.0] || -> equal(app(nil,sk2),sk2)**.
% 69.08/69.33 308[0:Res:2.0,93.0] || -> ssItem(u)* duplicatefreeP(sk2)*.
% 69.08/69.33 309[0:Res:2.0,77.0] || -> segmentP(sk2,nil)*.
% 69.08/69.33 416[0:Res:1.0,185.0] || -> totalorderedP(sk1) equal(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))),sk1)**.
% 69.08/69.33 417[0:Res:1.0,184.0] || -> strictorderedP(sk1) equal(app(app(skaf71(sk1),cons(skaf69(sk1),skaf72(sk1))),cons(skaf70(sk1),skaf73(sk1))),sk1)**.
% 69.08/69.33 472[0:Res:1.0,106.0] ssList(u) || -> ssList(app(u,sk1))*.
% 69.08/69.33 473[0:Res:1.0,108.0] || -> cyclefreeP(sk1) leq(skaf50(sk1),skaf49(sk1))*.
% 69.08/69.33 477[0:Res:1.0,94.0] || -> equal(app(sk1,nil),sk1)**.
% 69.08/69.33 479[0:Res:1.0,93.0] || -> ssItem(u)* duplicatefreeP(sk1)*.
% 69.08/69.33 494[0:Res:1.0,198.1] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u) equal(nil,sk1).
% 69.08/69.33 528[0:Res:1.0,137.1] ssItem(u) || equal(cons(u,nil),sk1)** -> singletonP(sk1).
% 69.08/69.33 573[1:Spt:93.1] || -> ssItem(u)*.
% 69.08/69.33 579[1:MRR:91.0,573.0] || -> cyclefreeP(cons(u,nil))*.
% 69.08/69.33 580[1:MRR:90.0,573.0] || -> totalorderP(cons(u,nil))*.
% 69.08/69.33 581[1:MRR:89.0,573.0] || -> strictorderP(cons(u,nil))*.
% 69.08/69.33 582[1:MRR:88.0,573.0] || -> totalorderedP(cons(u,nil))*.
% 69.08/69.33 583[1:MRR:87.0,573.0] || -> strictorderedP(cons(u,nil))*.
% 69.08/69.33 584[1:MRR:86.0,573.0] || -> duplicatefreeP(cons(u,nil))*.
% 69.08/69.33 585[1:MRR:85.0,573.0] || -> equalelemsP(cons(u,nil))*.
% 69.08/69.33 595[1:MRR:528.0,573.0] || equal(cons(u,nil),sk1)** -> singletonP(sk1).
% 69.08/69.33 781[2:Spt:494.5] || -> equal(nil,sk1)**.
% 69.08/69.33 846[2:Rew:781.0,22.0] || -> equalelemsP(sk1)*.
% 69.08/69.33 852[2:Rew:781.0,309.0] || -> segmentP(sk2,sk1)*.
% 69.08/69.33 891[2:MRR:21.0,846.0] || segmentP(sk2,sk1)* -> .
% 69.08/69.33 897[2:MRR:891.0,852.0] || -> .
% 69.08/69.33 1197[2:Spt:897.0,494.5,781.0] || equal(nil,sk1)** -> .
% 69.08/69.33 1198[2:Spt:897.0,494.0,494.1,494.2,494.3,494.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 69.08/69.33 1199[2:MRR:209.1,1197.0] || -> ssList(sk7)*.
% 69.08/69.33 1200[2:MRR:210.1,1197.0] || -> ssList(sk6)*.
% 69.08/69.33 1205[2:MRR:215.0,1197.0] || -> equal(cons(sk5,nil),sk1)**.
% 69.08/69.33 1208[2:MRR:217.0,1197.0] || -> equal(app(app(sk6,sk1),sk7),sk2)**.
% 69.08/69.33 2019[3:Spt:417.0] || -> strictorderedP(sk1)*.
% 69.08/69.33 2022[4:Spt:416.0] || -> totalorderedP(sk1)*.
% 69.08/69.33 2033[5:Spt:473.0] || -> cyclefreeP(sk1)*.
% 69.08/69.33 2037[6:Spt:21.0] || equalelemsP(sk1)* -> .
% 69.08/69.33 2044[2:SpR:1205.0,579.0] || -> cyclefreeP(sk1)*.
% 69.08/69.33 2045[2:SpR:1205.0,580.0] || -> totalorderP(sk1)*.
% 69.08/69.33 2046[2:SpR:1205.0,581.0] || -> strictorderP(sk1)*.
% 69.08/69.33 2047[2:SpR:1205.0,582.0] || -> totalorderedP(sk1)*.
% 69.08/69.33 2048[2:SpR:1205.0,583.0] || -> strictorderedP(sk1)*.
% 69.08/69.33 2049[2:SpR:1205.0,584.0] || -> duplicatefreeP(sk1)*.
% 69.08/69.33 2050[2:SpR:1205.0,585.0] || -> equalelemsP(sk1)*.
% 69.08/69.33 2053[6:MRR:2050.0,2037.0] || -> .
% 69.08/69.33 2054[6:Spt:2053.0,21.0,2037.0] || -> equalelemsP(sk1)*.
% 69.08/69.33 2055[6:Spt:2053.0,21.1] || segmentP(sk2,sk1)* -> .
% 69.08/69.33 2100[2:SpL:1205.0,595.0] || equal(sk1,sk1) -> singletonP(sk1)*.
% 69.08/69.33 2101[2:Obv:2100.0] || -> singletonP(sk1)*.
% 69.08/69.33 8068[0:EqR:226.4] ssList(app(u,app(v,w))) ssList(v) ssList(u) ssList(w) || -> segmentP(app(u,app(v,w)),v)*.
% 69.08/69.33 8111[0:SSi:8068.0,106.2,106.2] ssList(u) ssList(v) ssList(w) || -> segmentP(app(v,app(u,w)),u)*.
% 69.08/69.33 17793[2:SpR:1208.0,225.5] ssList(app(sk6,sk1)) ssList(u) ssList(v) ssList(sk7) || segmentP(app(sk6,sk1),u)* -> segmentP(app(v,sk2),u)*.
% 69.08/69.33 17821[2:SSi:17793.3,17793.0,1199.0,472.1,1200.0] ssList(u) ssList(v) || segmentP(app(sk6,sk1),u)*+ -> segmentP(app(v,sk2),u)*.
% 69.08/69.33 36034[0:SpR:477.0,8111.3] ssList(sk1) ssList(u) ssList(nil) || -> segmentP(app(u,sk1),sk1)*.
% 69.08/69.33 36057[5:SSi:36034.2,36034.0,29.0,28.0,27.0,26.0,25.0,24.0,23.0,22.0,1.0,2019.0,2022.0,2033.0,2049.0,2045.0,2046.0,2050.0,2101.0] ssList(u) || -> segmentP(app(u,sk1),sk1)*.
% 69.08/69.33 41656[5:Res:36057.1,17821.2] ssList(sk6) ssList(sk1) ssList(u) || -> segmentP(app(u,sk2),sk1)*.
% 69.08/69.33 44961[5:SSi:41656.1,41656.0,1.0,2019.0,2022.0,2033.0,2049.0,2045.0,2046.0,2050.0,2101.0,1200.0] ssList(u) || -> segmentP(app(u,sk2),sk1)*.
% 69.08/69.33 48863[5:SpR:307.0,44961.1] ssList(nil) || -> segmentP(sk2,sk1)*.
% 69.08/69.33 48870[5:SSi:48863.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0] || -> segmentP(sk2,sk1)*.
% 69.08/69.33 48871[6:MRR:48870.0,2055.0] || -> .
% 69.08/69.33 48886[5:Spt:48871.0,473.0,2033.0] || cyclefreeP(sk1)* -> .
% 69.08/69.33 48887[5:Spt:48871.0,473.1] || -> leq(skaf50(sk1),skaf49(sk1))*.
% 69.08/69.33 48888[5:MRR:48886.0,2044.0] || -> .
% 69.08/69.33 49972[4:Spt:48888.0,416.0,2022.0] || totalorderedP(sk1)* -> .
% 69.08/69.33 49973[4:Spt:48888.0,416.1] || -> equal(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))),sk1)**.
% 69.08/69.33 49974[4:MRR:49972.0,2047.0] || -> .
% 69.08/69.33 50785[3:Spt:49974.0,417.0,2019.0] || strictorderedP(sk1)* -> .
% 69.08/69.33 50786[3:Spt:49974.0,417.1] || -> equal(app(app(skaf71(sk1),cons(skaf69(sk1),skaf72(sk1))),cons(skaf70(sk1),skaf73(sk1))),sk1)**.
% 69.08/69.33 50787[3:MRR:50785.0,2048.0] || -> .
% 69.08/69.33 51050[1:Spt:50787.0,93.0,93.2] ssList(u) || -> duplicatefreeP(u)*.
% 69.08/69.33 51458[2:Spt:479.0] || -> ssItem(u)*.
% 69.08/69.33 51462[2:MRR:85.0,51458.0] || -> equalelemsP(cons(u,nil))*.
% 69.08/69.33 51463[2:MRR:86.0,51458.0] || -> duplicatefreeP(cons(u,nil))*.
% 69.08/69.33 51466[2:MRR:89.0,51458.0] || -> strictorderP(cons(u,nil))*.
% 85.74/85.94 51467[2:MRR:90.0,51458.0] || -> totalorderP(cons(u,nil))*.
% 85.74/85.94 51468[2:MRR:91.0,51458.0] || -> cyclefreeP(cons(u,nil))*.
% 85.74/85.94 51660[3:Spt:494.5] || -> equal(nil,sk1)**.
% 85.74/85.94 51662[3:Rew:51660.0,22.0] || -> equalelemsP(sk1)*.
% 85.74/85.94 51672[3:Rew:51660.0,309.0] || -> segmentP(sk2,sk1)*.
% 85.74/85.94 51942[3:MRR:21.0,51662.0] || segmentP(sk2,sk1)* -> .
% 85.74/85.94 51956[3:MRR:51942.0,51672.0] || -> .
% 85.74/85.94 53104[3:Spt:51956.0,494.5,51660.0] || equal(nil,sk1)** -> .
% 85.74/85.94 53105[3:Spt:51956.0,494.0,494.1,494.2,494.3,494.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 85.74/85.94 53106[3:MRR:209.1,53104.0] || -> ssList(sk7)*.
% 85.74/85.94 53107[3:MRR:210.1,53104.0] || -> ssList(sk6)*.
% 85.74/85.94 53113[3:MRR:215.0,53104.0] || -> equal(cons(sk5,nil),sk1)**.
% 85.74/85.94 53118[3:MRR:217.0,53104.0] || -> equal(app(app(sk6,sk1),sk7),sk2)**.
% 85.74/85.94 54237[3:SpR:53118.0,170.3] ssList(sk6) ssList(sk1) ssList(sk7) || -> equal(app(sk6,app(sk1,sk7)),sk2)**.
% 85.74/85.94 54519[3:SSi:54237.2,54237.1,54237.0,53106.0,1.0,53107.0] || -> equal(app(sk6,app(sk1,sk7)),sk2)**.
% 85.74/85.94 54697[3:SpR:53113.0,51462.0] || -> equalelemsP(sk1)*.
% 85.74/85.94 54698[3:SpR:53113.0,51463.0] || -> duplicatefreeP(sk1)*.
% 85.74/85.94 54701[3:SpR:53113.0,51466.0] || -> strictorderP(sk1)*.
% 85.74/85.94 54702[3:SpR:53113.0,51467.0] || -> totalorderP(sk1)*.
% 85.74/85.94 54703[3:SpR:53113.0,51468.0] || -> cyclefreeP(sk1)*.
% 85.74/85.94 54931[3:SpR:54519.0,8111.3] ssList(sk1) ssList(sk6) ssList(sk7) || -> segmentP(sk2,sk1)*.
% 85.74/85.94 54964[3:MRR:21.0,54697.0] || segmentP(sk2,sk1)* -> .
% 85.74/85.94 54999[3:SSi:54931.2,54931.1,54931.0,53106.0,53107.0,1.0,54698.0,54701.0,54702.0,54703.0,54697.0] || -> segmentP(sk2,sk1)*.
% 85.74/85.94 55000[3:MRR:54999.0,54964.0] || -> .
% 85.74/85.94 55026[2:Spt:55000.0,479.1] || -> duplicatefreeP(sk1)*.
% 85.74/85.94 55029[3:Spt:308.0] || -> ssItem(u)*.
% 85.74/85.94 55035[3:MRR:91.0,55029.0] || -> cyclefreeP(cons(u,nil))*.
% 85.74/85.94 55036[3:MRR:90.0,55029.0] || -> totalorderP(cons(u,nil))*.
% 85.74/85.94 55037[3:MRR:89.0,55029.0] || -> strictorderP(cons(u,nil))*.
% 85.74/85.94 55041[3:MRR:85.0,55029.0] || -> equalelemsP(cons(u,nil))*.
% 85.74/85.94 55229[4:Spt:494.5] || -> equal(nil,sk1)**.
% 85.74/85.94 55230[4:Rew:55229.0,22.0] || -> equalelemsP(sk1)*.
% 85.74/85.94 55241[4:Rew:55229.0,309.0] || -> segmentP(sk2,sk1)*.
% 85.74/85.94 55511[4:MRR:21.0,55230.0] || segmentP(sk2,sk1)* -> .
% 85.74/85.94 55525[4:MRR:55511.0,55241.0] || -> .
% 85.74/85.94 56664[4:Spt:55525.0,494.5,55229.0] || equal(nil,sk1)** -> .
% 85.74/85.94 56665[4:Spt:55525.0,494.0,494.1,494.2,494.3,494.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 85.74/85.94 56666[4:MRR:209.1,56664.0] || -> ssList(sk7)*.
% 85.74/85.94 56667[4:MRR:210.1,56664.0] || -> ssList(sk6)*.
% 85.74/85.94 56673[4:MRR:215.0,56664.0] || -> equal(cons(sk5,nil),sk1)**.
% 85.74/85.94 56678[4:MRR:217.0,56664.0] || -> equal(app(app(sk6,sk1),sk7),sk2)**.
% 85.74/85.94 57797[4:SpR:56678.0,170.3] ssList(sk6) ssList(sk1) ssList(sk7) || -> equal(app(sk6,app(sk1,sk7)),sk2)**.
% 85.74/85.94 58038[4:SSi:57797.2,57797.1,57797.0,56666.0,1.0,55026.0,56667.0] || -> equal(app(sk6,app(sk1,sk7)),sk2)**.
% 85.74/85.94 58251[4:SpR:56673.0,55035.0] || -> cyclefreeP(sk1)*.
% 85.74/85.94 58252[4:SpR:56673.0,55036.0] || -> totalorderP(sk1)*.
% 85.74/85.94 58253[4:SpR:56673.0,55037.0] || -> strictorderP(sk1)*.
% 85.74/85.94 58257[4:SpR:56673.0,55041.0] || -> equalelemsP(sk1)*.
% 85.74/85.94 58459[4:SpR:58038.0,8111.3] ssList(sk1) ssList(sk6) ssList(sk7) || -> segmentP(sk2,sk1)*.
% 85.74/85.94 58492[4:MRR:21.0,58257.0] || segmentP(sk2,sk1)* -> .
% 85.74/85.94 58525[4:SSi:58459.2,58459.1,58459.0,56666.0,56667.0,1.0,55026.0,58253.0,58252.0,58251.0,58257.0] || -> segmentP(sk2,sk1)*.
% 85.74/85.94 58526[4:MRR:58525.0,58492.0] || -> .
% 85.74/85.94 58550[3:Spt:58526.0,308.1] || -> duplicatefreeP(sk2)*.
% 85.74/85.94 58551[4:Spt:494.5] || -> equal(nil,sk1)**.
% 85.74/85.94 58552[4:Rew:58551.0,22.0] || -> equalelemsP(sk1)*.
% 85.74/85.94 58563[4:Rew:58551.0,309.0] || -> segmentP(sk2,sk1)*.
% 85.74/85.94 58835[4:MRR:21.0,58552.0] || segmentP(sk2,sk1)* -> .
% 85.74/85.94 58845[4:MRR:58835.0,58563.0] || -> .
% 85.74/85.94 59255[4:Spt:58845.0,494.5,58551.0] || equal(nil,sk1)** -> .
% 85.74/85.94 59256[4:Spt:58845.0,494.0,494.1,494.2,494.3,494.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 85.74/85.94 59257[4:MRR:209.1,59255.0] || -> ssList(sk7)*.
% 85.74/85.94 59258[4:MRR:210.1,59255.0] || -> ssList(sk6)*.
% 85.74/85.94 59259[4:MRR:213.1,59255.0] || -> ssItem(sk5)*.
% 85.74/85.94 59267[4:MRR:215.0,59255.0] || -> equal(cons(sk5,nil),sk1)**.
% 85.74/85.94 59272[4:MRR:217.0,59255.0] || -> equal(app(app(sk6,sk1),sk7),sk2)**.
% 85.74/85.94 60276[4:SpR:59272.0,170.3] ssList(sk6) ssList(sk1) ssList(sk7) || -> equal(app(sk6,app(sk1,sk7)),sk2)**.
% 85.74/85.94 60751[4:SSi:60276.2,60276.1,60276.0,59257.0,1.0,55026.0,59258.0] || -> equal(app(sk6,app(sk1,sk7)),sk2)**.
% 85.74/85.94 60989[4:SpR:59267.0,85.1] ssItem(sk5) || -> equalelemsP(sk1)*.
% 85.74/85.94 60990[4:SSi:60989.0,59259.0] || -> equalelemsP(sk1)*.
% 85.74/85.94 61078[4:SpR:60751.0,8111.3] ssList(sk1) ssList(sk6) ssList(sk7) || -> segmentP(sk2,sk1)*.
% 85.74/85.94 61193[4:MRR:21.0,60990.0] || segmentP(sk2,sk1)* -> .
% 85.74/85.94 61230[4:SSi:61078.2,61078.1,61078.0,59257.0,59258.0,1.0,55026.0,60990.0] || -> segmentP(sk2,sk1)*.
% 85.74/85.94 61231[4:MRR:61230.0,61193.0] || -> .
% 85.74/85.94 % SZS output end Refutation
% 85.74/85.94 Formulae used in the proof : co1_1 co1_2 co1_5 co1_6 co1_8 co1_15 co1_16 co1_17 co1_18 co1_21 clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause56 clause64 clause65 clause66 clause67 clause68 clause69 clause70 clause72 clause73 clause74 clause85 clause87 clause116 clause149 clause163 clause164 clause172 clause173 clause177
% 85.74/85.94
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