TSTP Solution File: COM020+4 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : Fri Jul 15 01:44:21 EDT 2022
% Result : Theorem 150.91s 151.14s
% Output : Refutation 276.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 17:37:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 150.91/151.14
% 150.91/151.14 SPASS V 3.9
% 150.91/151.14 SPASS beiseite: Proof found.
% 150.91/151.14 % SZS status Theorem
% 150.91/151.14 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 150.91/151.14 SPASS derived 96622 clauses, backtracked 45320 clauses, performed 417 splits and kept 82647 clauses.
% 150.91/151.14 SPASS allocated 204269 KBytes.
% 150.91/151.14 SPASS spent 0:2:30.62 on the problem.
% 150.91/151.14 0:00:00.04 for the input.
% 150.91/151.14 0:00:00.09 for the FLOTTER CNF translation.
% 150.91/151.14 0:00:01.47 for inferences.
% 150.91/151.14 0:00:09.32 for the backtracking.
% 150.91/151.14 0:2:18.77 for the reduction.
% 150.91/151.14
% 150.91/151.14
% 150.91/151.14 Here is a proof with depth 6, length 194 :
% 150.91/151.14 % SZS output start Refutation
% 150.91/151.14 1[0:Inp] || -> aRewritingSystem0(xR)*.
% 150.91/151.14 2[0:Inp] || -> isLocallyConfluent0(xR)*.
% 150.91/151.14 3[0:Inp] || -> isTerminating0(xR)*.
% 150.91/151.14 4[0:Inp] || -> aElement0(xa)*.
% 150.91/151.14 5[0:Inp] || -> aElement0(xb)*.
% 150.91/151.14 10[0:Inp] || -> aElement0(xu)*.
% 150.91/151.14 14[0:Inp] || -> aElement0(skc18)*.
% 150.91/151.14 15[0:Inp] || -> aElement0(xw)*.
% 150.91/151.14 17[0:Inp] || -> aElement0(xd)*.
% 150.91/151.14 34[0:Inp] || -> aReductOfIn0(xu,xa,xR)*.
% 150.91/151.14 35[0:Inp] || -> sdtmndtasgtdt0(xu,xR,xb)*.
% 150.91/151.14 38[0:Inp] || -> sdtmndtasgtdt0(xu,xR,xw)*.
% 150.91/151.14 40[0:Inp] || -> sdtmndtasgtdt0(xw,xR,xd)*.
% 150.91/151.14 45[0:Inp] || aReductOfIn0(u,xd,xR)* -> .
% 150.91/151.14 47[0:Inp] || aReductOfIn0(u,xb,xR)* -> SkP2(u).
% 150.91/151.14 48[0:Inp] || sdtmndtplgtdt0(xb,xR,u)* -> SkP2(u).
% 150.91/151.14 49[0:Inp] || sdtmndtasgtdt0(xb,xR,u)* -> SkP2(u).
% 150.91/151.14 51[0:Inp] || -> equal(xu,xb) sdtmndtplgtdt0(xu,xR,xb)*.
% 150.91/151.14 53[0:Inp] || -> equal(xw,xu) sdtmndtplgtdt0(xu,xR,xw)*.
% 150.91/151.14 54[0:Inp] || -> equal(xw,xv) sdtmndtplgtdt0(xv,xR,xw)*.
% 150.91/151.14 55[0:Inp] || -> equal(xw,xd) sdtmndtplgtdt0(xw,xR,xd)*.
% 150.91/151.14 57[0:Inp] || sdtmndtplgtdt0(u,xR,v)* -> SkP1(v,u).
% 150.91/151.14 58[0:Inp] || sdtmndtasgtdt0(u,xR,v)* -> SkP1(v,u).
% 150.91/151.14 63[0:Inp] SkP2(u) aElement0(u) || equal(xd,u)* -> .
% 150.91/151.14 67[0:Inp] aRewritingSystem0(u) || -> isConfluent0(u) sdtmndtasgtdt0(skf25(u),u,skf24(u))*.
% 150.91/151.14 77[0:Inp] || -> equal(xw,xu) aReductOfIn0(xw,xu,xR) aReductOfIn0(skc18,xu,xR)*.
% 150.91/151.14 78[0:Inp] || -> equal(xw,xu) aReductOfIn0(xw,xu,xR) sdtmndtplgtdt0(skc18,xR,xw)*.
% 150.91/151.14 85[0:Inp] aElement0(u) aElement0(v) || aReductOfIn0(u,v,xR)* -> iLess0(u,v).
% 150.91/151.14 87[0:Inp] aElement0(u) || sdtmndtplgtdt0(u,xR,v)* aReductOfIn0(u,xb,xR) -> SkP2(v).
% 150.91/151.14 91[0:Inp] || iLess0(u,xa) SkP0(v,w,u)*+ -> sdtmndtasgtdt0(v,xR,skf39(v,w))*.
% 150.91/151.14 93[0:Inp] aElement0(u) || aReductOfIn0(u,v,xR)*+ sdtmndtplgtdt0(u,xR,w)* -> SkP1(w,v)*.
% 150.91/151.14 96[0:Inp] aElement0(u) aRewritingSystem0(v) aElement0(w) || sdtmndtplgtdt0(w,v,u) -> sdtmndtasgtdt0(w,v,u)*.
% 150.91/151.14 103[0:Inp] aElement0(u) aElement0(v) aElement0(w) || SkP1(v,u) SkP1(w,u) -> SkP0(w,v,u)*.
% 150.91/151.14 112[0:Inp] || iLess0(u,xa) SkP0(v,w,u)*+ -> equal(skf39(v,w),w) aReductOfIn0(skf39(v,w),w,xR) aReductOfIn0(skf40(v,w),w,xR)*.
% 150.91/151.14 113[0:Inp] aElement0(u) aElement0(v) aRewritingSystem0(w) aElement0(x) || sdtmndtasgtdt0(x,w,v)*+ sdtmndtasgtdt0(v,w,u)* -> sdtmndtasgtdt0(x,w,u)*.
% 150.91/151.14 114[0:Inp] aElement0(u) aElement0(v) aRewritingSystem0(w) aElement0(x) || sdtmndtplgtdt0(x,w,v)*+ sdtmndtplgtdt0(v,w,u)* -> sdtmndtplgtdt0(x,w,u)*.
% 150.91/151.14 132[0:Res:17.0,63.0] SkP2(xd) || equal(xd,xd)* -> .
% 150.91/151.14 228[0:Res:14.0,87.0] || sdtmndtplgtdt0(skc18,xR,u)* aReductOfIn0(skc18,xb,xR) -> SkP2(u).
% 150.91/151.14 258[0:Obv:132.1] SkP2(xd) || -> .
% 150.91/151.14 261[1:Spt:55.0] || -> equal(xw,xd)**.
% 150.91/151.14 273[1:Rew:261.0,38.0] || -> sdtmndtasgtdt0(xu,xR,xd)*.
% 150.91/151.14 631[0:Res:35.0,58.0] || -> SkP1(xb,xu)*.
% 150.91/151.14 690[0:Res:67.2,58.0] aRewritingSystem0(xR) || -> isConfluent0(xR) SkP1(skf24(xR),skf25(xR))*.
% 150.91/151.14 691[0:SSi:690.0,3.0,2.0,1.0] || -> isConfluent0(xR) SkP1(skf24(xR),skf25(xR))*.
% 150.91/151.14 728[0:Res:34.0,85.2] aElement0(xu) aElement0(xa) || -> iLess0(xu,xa)*.
% 150.91/151.14 734[0:SSi:728.1,728.0,4.0,10.0] || -> iLess0(xu,xa)*.
% 150.91/151.14 894[0:Res:103.5,91.1] aElement0(u) aElement0(v) aElement0(w) || SkP1(v,u)*+ SkP1(w,u)* iLess0(u,xa) -> sdtmndtasgtdt0(w,xR,skf39(w,v))*.
% 150.91/151.14 1101[0:Res:103.5,112.1] aElement0(u) aElement0(v) aElement0(w) || SkP1(v,u)*+ SkP1(w,u)* iLess0(u,xa) -> equal(skf39(w,v),v) aReductOfIn0(skf39(w,v),v,xR) aReductOfIn0(skf40(w,v),v,xR)*.
% 150.91/151.14 1117[0:Res:96.4,113.4] aElement0(u) aRewritingSystem0(v) aElement0(w) aElement0(x) aElement0(u) aRewritingSystem0(v) aElement0(w) || sdtmndtplgtdt0(w,v,u)* sdtmndtasgtdt0(u,v,x)* -> sdtmndtasgtdt0(w,v,x)*.
% 150.91/151.14 1126[0:Obv:1117.2] aElement0(u) aElement0(v) aRewritingSystem0(w) aElement0(x) || sdtmndtplgtdt0(x,w,v)*+ sdtmndtasgtdt0(v,w,u)* -> sdtmndtasgtdt0(x,w,u)*.
% 150.91/151.14 11623[1:Res:273.0,58.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 11641[1:Res:11623.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 11645[1:Res:11623.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 11646[1:SSi:11645.1,11645.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 11647[1:MRR:11646.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 11654[1:SSi:11641.1,11641.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 11655[1:MRR:11654.2,734.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 11656[1:MRR:11655.3,11655.4,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 150.91/151.14 11657[1:Rew:11656.2,11647.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 150.91/151.14 14598[1:Res:11657.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 14649[1:SSi:14598.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 14650[1:MRR:14649.0,14649.1,631.0,258.0] || -> .
% 150.91/151.14 14666[1:Spt:14650.0,55.0,261.0] || equal(xw,xd)** -> .
% 150.91/151.14 14667[1:Spt:14650.0,55.1] || -> sdtmndtplgtdt0(xw,xR,xd)*.
% 150.91/151.14 14695[1:Res:14667.0,57.0] || -> SkP1(xd,xw)*.
% 150.91/151.14 14710[2:Spt:53.0] || -> equal(xw,xu)**.
% 150.91/151.14 14726[2:Rew:14710.0,14695.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 15302[2:Res:14726.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 15306[2:Res:14726.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 15307[2:SSi:15306.1,15306.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 15308[2:MRR:15307.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 15315[2:SSi:15302.1,15302.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 15316[2:MRR:15315.2,15315.4,15315.5,734.0,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 150.91/151.14 15317[2:Rew:15316.2,15308.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 150.91/151.14 21041[2:Res:15317.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 21058[2:SSi:21041.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 21059[2:MRR:21058.0,21058.1,631.0,258.0] || -> .
% 150.91/151.14 21077[2:Spt:21059.0,53.0,14710.0] || equal(xw,xu)** -> .
% 150.91/151.14 21078[2:Spt:21059.0,53.1] || -> sdtmndtplgtdt0(xu,xR,xw)*.
% 150.91/151.14 21080[2:MRR:78.0,21077.0] || -> aReductOfIn0(xw,xu,xR) sdtmndtplgtdt0(skc18,xR,xw)*.
% 150.91/151.14 21081[2:MRR:77.0,21077.0] || -> aReductOfIn0(xw,xu,xR) aReductOfIn0(skc18,xu,xR)*.
% 150.91/151.14 21091[2:Res:21078.0,1126.4] aElement0(u) aElement0(xw) aRewritingSystem0(xR) aElement0(xu) || sdtmndtasgtdt0(xw,xR,u)* -> sdtmndtasgtdt0(xu,xR,u).
% 150.91/151.14 21101[2:SSi:21091.3,21091.2,10.0,3.0,2.0,1.0] aElement0(u) aElement0(xw) || sdtmndtasgtdt0(xw,xR,u)* -> sdtmndtasgtdt0(xu,xR,u).
% 150.91/151.14 21102[2:MRR:21101.1,15.0] aElement0(u) || sdtmndtasgtdt0(xw,xR,u)* -> sdtmndtasgtdt0(xu,xR,u).
% 150.91/151.14 21107[3:Spt:54.0] || -> equal(xw,xv)**.
% 150.91/151.14 21115[3:Rew:21107.0,40.0] || -> sdtmndtasgtdt0(xv,xR,xd)*.
% 150.91/151.14 21126[3:Rew:21107.0,21102.1] aElement0(u) || sdtmndtasgtdt0(xv,xR,u)* -> sdtmndtasgtdt0(xu,xR,u).
% 150.91/151.14 57032[3:Res:21115.0,21126.1] aElement0(xd) || -> sdtmndtasgtdt0(xu,xR,xd)*.
% 150.91/151.14 57042[3:SSi:57032.0,17.0] || -> sdtmndtasgtdt0(xu,xR,xd)*.
% 150.91/151.14 57067[3:Res:57042.0,58.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 57089[3:Res:57067.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 57093[3:Res:57067.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 57094[3:SSi:57093.1,57093.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 57095[3:MRR:57094.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 57102[3:SSi:57089.1,57089.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 57103[3:MRR:57102.2,57102.4,57102.5,734.0,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 150.91/151.14 57104[3:Rew:57103.2,57095.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 150.91/151.14 63600[3:Res:57104.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 63617[3:SSi:63600.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 63618[3:MRR:63617.0,63617.1,631.0,258.0] || -> .
% 150.91/151.14 63638[3:Spt:63618.0,54.0,21107.0] || equal(xw,xv)** -> .
% 150.91/151.14 63639[3:Spt:63618.0,54.1] || -> sdtmndtplgtdt0(xv,xR,xw)*.
% 150.91/151.14 63939[4:Spt:51.0] || -> equal(xu,xb)**.
% 150.91/151.14 64207[4:Rew:63939.0,21078.0] || -> sdtmndtplgtdt0(xb,xR,xw)*.
% 150.91/151.14 64223[4:Rew:63939.0,21081.0] || -> aReductOfIn0(xw,xb,xR) aReductOfIn0(skc18,xu,xR)*.
% 150.91/151.14 64224[4:Rew:63939.0,21080.0] || -> aReductOfIn0(xw,xb,xR) sdtmndtplgtdt0(skc18,xR,xw)*.
% 150.91/151.14 64261[4:Rew:63939.0,64223.1] || -> aReductOfIn0(xw,xb,xR) aReductOfIn0(skc18,xb,xR)*.
% 150.91/151.14 64956[1:Res:14667.0,87.1] aElement0(xw) || aReductOfIn0(xw,xb,xR)* -> SkP2(xd).
% 150.91/151.14 64964[1:SSi:64956.0,15.0] || aReductOfIn0(xw,xb,xR)* -> SkP2(xd).
% 150.91/151.14 64965[1:MRR:64964.1,258.0] || aReductOfIn0(xw,xb,xR)* -> .
% 150.91/151.14 64966[4:MRR:64261.0,64965.0] || -> aReductOfIn0(skc18,xb,xR)*.
% 150.91/151.14 64967[4:MRR:64224.0,64965.0] || -> sdtmndtplgtdt0(skc18,xR,xw)*.
% 150.91/151.14 64968[4:MRR:228.1,64966.0] || sdtmndtplgtdt0(skc18,xR,u)* -> SkP2(u).
% 150.91/151.14 65022[4:Res:64207.0,48.0] || -> SkP2(xw)*.
% 150.91/151.14 65138[4:Res:64966.0,47.0] || -> SkP2(skc18)*.
% 150.91/151.14 65208[4:Res:64967.0,114.4] aElement0(u) aElement0(xw) aRewritingSystem0(xR) aElement0(skc18) || sdtmndtplgtdt0(xw,xR,u) -> sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 65211[4:SSi:65208.3,65208.2,65208.1,14.0,65138.0,3.0,2.0,1.0,15.0,65022.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u) -> sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 69349[4:Res:65211.2,64968.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u)* -> SkP2(u).
% 150.91/151.14 69373[4:Res:14667.0,69349.1] aElement0(xd) || -> SkP2(xd)*.
% 150.91/151.14 69375[4:SSi:69373.0,17.0] || -> SkP2(xd)*.
% 150.91/151.14 69376[4:MRR:69375.0,258.0] || -> .
% 150.91/151.14 69379[4:Spt:69376.0,51.0,63939.0] || equal(xu,xb)** -> .
% 150.91/151.14 69380[4:Spt:69376.0,51.1] || -> sdtmndtplgtdt0(xu,xR,xb)*.
% 150.91/151.14 70265[5:Spt:691.0] || -> isConfluent0(xR)*.
% 150.91/151.14 70393[2:Res:21080.1,114.4] aElement0(u) aElement0(xw) aRewritingSystem0(xR) aElement0(skc18) || sdtmndtplgtdt0(xw,xR,u) -> aReductOfIn0(xw,xu,xR) sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 70396[5:SSi:70393.3,70393.2,70393.1,14.0,3.0,2.0,1.0,70265.0,15.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u) -> aReductOfIn0(xw,xu,xR) sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 70456[6:Spt:21081.0] || -> aReductOfIn0(xw,xu,xR)*.
% 150.91/151.14 70457[6:Res:70456.0,93.1] aElement0(xw) || sdtmndtplgtdt0(xw,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 70474[6:SSi:70457.0,15.0] || sdtmndtplgtdt0(xw,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 75583[6:Res:14667.0,70474.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 75590[6:Res:75583.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 75594[6:Res:75583.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 75595[6:SSi:75594.1,75594.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 75596[6:MRR:75595.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 75603[6:SSi:75590.1,75590.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 75604[6:MRR:75603.2,75603.4,75603.5,734.0,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 150.91/151.14 75605[6:Rew:75604.2,75596.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 150.91/151.14 88968[6:Res:75605.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 88983[6:SSi:88968.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 88984[6:MRR:88983.0,88983.1,631.0,258.0] || -> .
% 150.91/151.14 89002[6:Spt:88984.0,21081.0,70456.0] || aReductOfIn0(xw,xu,xR)* -> .
% 150.91/151.14 89003[6:Spt:88984.0,21081.1] || -> aReductOfIn0(skc18,xu,xR)*.
% 150.91/151.14 89009[6:MRR:70396.2,89002.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u) -> sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 89018[6:Res:89003.0,93.1] aElement0(skc18) || sdtmndtplgtdt0(skc18,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 89039[6:SSi:89018.0,14.0] || sdtmndtplgtdt0(skc18,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 90620[6:Res:89009.2,89039.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 106388[6:Res:14667.0,90620.1] aElement0(xd) || -> SkP1(xd,xu)*.
% 150.91/151.14 106390[6:SSi:106388.0,17.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 106407[6:Res:106390.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 106411[6:Res:106390.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 106412[6:SSi:106411.1,106411.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 106413[6:MRR:106412.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 106420[6:SSi:106407.1,106407.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 106421[6:MRR:106420.2,106420.4,106420.5,734.0,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 150.91/151.14 106422[6:Rew:106421.2,106413.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 150.91/151.14 107582[6:Res:106422.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 107597[6:SSi:107582.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 107598[6:MRR:107597.0,107597.1,631.0,258.0] || -> .
% 150.91/151.14 107616[5:Spt:107598.0,691.0,70265.0] || isConfluent0(xR)* -> .
% 150.91/151.14 107617[5:Spt:107598.0,691.1] || -> SkP1(skf24(xR),skf25(xR))*.
% 150.91/151.14 107763[2:SSi:70393.3,70393.2,70393.1,14.0,3.0,2.0,1.0,15.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u) -> aReductOfIn0(xw,xu,xR) sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 108105[6:Spt:21080.0] || -> aReductOfIn0(xw,xu,xR)*.
% 150.91/151.14 108106[6:Res:108105.0,93.1] aElement0(xw) || sdtmndtplgtdt0(xw,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 108126[6:SSi:108106.0,15.0] || sdtmndtplgtdt0(xw,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 120895[6:Res:14667.0,108126.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 120902[6:Res:120895.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 120906[6:Res:120895.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 120907[6:SSi:120906.1,120906.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 120908[6:MRR:120907.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 150.91/151.14 120915[6:SSi:120902.1,120902.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 120916[6:MRR:120915.2,120915.4,120915.5,734.0,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 150.91/151.14 120917[6:Rew:120916.2,120908.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 150.91/151.14 125185[6:Res:120917.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 125203[6:SSi:125185.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 150.91/151.14 125204[6:MRR:125203.0,125203.1,631.0,258.0] || -> .
% 150.91/151.14 125234[6:Spt:125204.0,21080.0,108105.0] || aReductOfIn0(xw,xu,xR)* -> .
% 150.91/151.14 125235[6:Spt:125204.0,21080.1] || -> sdtmndtplgtdt0(skc18,xR,xw)*.
% 150.91/151.14 125242[6:MRR:21081.0,125234.0] || -> aReductOfIn0(skc18,xu,xR)*.
% 150.91/151.14 125247[6:MRR:107763.2,125234.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u) -> sdtmndtplgtdt0(skc18,xR,u)*.
% 150.91/151.14 125286[6:Res:125242.0,93.1] aElement0(skc18) || sdtmndtplgtdt0(skc18,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 125317[6:SSi:125286.0,14.0] || sdtmndtplgtdt0(skc18,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 131538[6:Res:125247.2,125317.0] aElement0(u) || sdtmndtplgtdt0(xw,xR,u)* -> SkP1(u,xu).
% 150.91/151.14 137507[6:Res:14667.0,131538.1] aElement0(xd) || -> SkP1(xd,xu)*.
% 150.91/151.14 137509[6:SSi:137507.0,17.0] || -> SkP1(xd,xu)*.
% 150.91/151.14 137516[6:Res:137509.0,1101.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 150.91/151.14 137520[6:Res:137509.0,894.3] aElement0(xu) aElement0(xd) aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 276.96/277.24 137521[6:SSi:137520.1,137520.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 276.96/277.24 137522[6:MRR:137521.2,734.0] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,skf39(u,xd))*.
% 276.96/277.24 137529[6:SSi:137516.1,137516.0,17.0,10.0] aElement0(u) || SkP1(u,xu) iLess0(xu,xa) -> equal(skf39(u,xd),xd) aReductOfIn0(skf39(u,xd),xd,xR) aReductOfIn0(skf40(u,xd),xd,xR)*.
% 276.96/277.24 137530[6:MRR:137529.2,137529.4,137529.5,734.0,45.0,45.0] aElement0(u) || SkP1(u,xu) -> equal(skf39(u,xd),xd)**.
% 276.96/277.24 137531[6:Rew:137530.2,137522.2] aElement0(u) || SkP1(u,xu) -> sdtmndtasgtdt0(u,xR,xd)*.
% 276.96/277.24 142654[6:Res:137531.2,49.0] aElement0(xb) || SkP1(xb,xu)* -> SkP2(xd).
% 276.96/277.24 142677[6:SSi:142654.0,5.0] || SkP1(xb,xu)* -> SkP2(xd).
% 276.96/277.24 142678[6:MRR:142677.0,142677.1,631.0,258.0] || -> .
% 276.96/277.24 % SZS output end Refutation
% 276.96/277.24 Formulae used in the proof : m__656 m__656_01 m__818 m__731 m__755 m__799 m__ m__715 mCRDef mTCRDef mTCRTrans mTCTrans
% 276.96/277.24
%------------------------------------------------------------------------------