TSTP Solution File: NUM494+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM494+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : Mon Jul 18 14:26:47 EDT 2022
% Result : Theorem 17.34s 17.53s
% Output : Refutation 24.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM494+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 10:06:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 17.34/17.53
% 17.34/17.53 SPASS V 3.9
% 17.34/17.53 SPASS beiseite: Proof found.
% 17.34/17.53 % SZS status Theorem
% 17.34/17.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.34/17.53 SPASS derived 24598 clauses, backtracked 8400 clauses, performed 46 splits and kept 14810 clauses.
% 17.34/17.53 SPASS allocated 124740 KBytes.
% 17.34/17.53 SPASS spent 0:0:17.17 on the problem.
% 17.34/17.53 0:00:00.04 for the input.
% 17.34/17.53 0:00:00.04 for the FLOTTER CNF translation.
% 17.34/17.53 0:00:00.25 for inferences.
% 17.34/17.53 0:00:00.19 for the backtracking.
% 17.34/17.53 0:0:16.52 for the reduction.
% 17.34/17.53
% 17.34/17.53
% 17.34/17.53 Here is a proof with depth 9, length 482 :
% 17.34/17.53 % SZS output start Refutation
% 17.34/17.53 1[0:Inp] || -> aNaturalNumber0(sz00)*.
% 17.34/17.53 2[0:Inp] || -> aNaturalNumber0(sz10)*.
% 17.34/17.53 3[0:Inp] || -> aNaturalNumber0(xn)*.
% 17.34/17.53 4[0:Inp] || -> aNaturalNumber0(xm)*.
% 17.34/17.53 5[0:Inp] || -> aNaturalNumber0(xp)*.
% 17.34/17.53 6[0:Inp] || -> isPrime0(xp)*.
% 17.34/17.53 8[0:Inp] || -> aNaturalNumber0(skf7(u))*.
% 17.34/17.53 9[0:Inp] || -> sdtlseqdt0(xp,xn)*.
% 17.34/17.53 10[0:Inp] || -> sdtlseqdt0(xr,xn)*.
% 17.34/17.53 11[0:Inp] || equal(sz10,sz00)** -> .
% 17.34/17.53 12[0:Inp] || -> aNaturalNumber0(skf4(u,v))*.
% 17.34/17.53 14[0:Inp] || equal(xr,xn)** -> .
% 17.34/17.53 15[0:Inp] || -> doDivides0(xp,sdtasdt0(xn,xm))*.
% 17.34/17.53 16[0:Inp] || -> equal(sdtmndt0(xn,xp),xr)**.
% 17.34/17.53 17[0:Inp] || -> doDivides0(xp,sdtasdt0(xr,xm))*.
% 17.34/17.53 19[0:Inp] aNaturalNumber0(u) || -> equal(sdtpldt0(u,sz00),u)**.
% 17.34/17.53 20[0:Inp] aNaturalNumber0(u) || -> equal(sdtpldt0(sz00,u),u)**.
% 17.34/17.53 21[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 17.34/17.53 22[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(sz10,u),u)**.
% 17.34/17.53 23[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(u,sz00),sz00)**.
% 17.34/17.53 25[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> aNaturalNumber0(sdtpldt0(v,u))*.
% 17.34/17.53 26[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> aNaturalNumber0(sdtasdt0(v,u))*.
% 17.34/17.53 27[0:Inp] aNaturalNumber0(u) isPrime0(u) || equal(u,sz00)* -> .
% 17.34/17.53 28[0:Inp] aNaturalNumber0(u) isPrime0(u) || equal(u,sz10)* -> .
% 17.34/17.53 29[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(v,u)* sdtlseqdt0(u,v)*.
% 17.34/17.53 32[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtpldt0(v,u),sdtpldt0(u,v))*.
% 17.34/17.53 33[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtasdt0(v,u),sdtasdt0(u,v))*.
% 17.34/17.53 36[0:Inp] aNaturalNumber0(u) || -> equal(u,sz10) equal(u,sz00) doDivides0(skf7(u),u)*.
% 17.34/17.53 37[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(v,sz00) sdtlseqdt0(u,sdtasdt0(u,v))*.
% 17.34/17.53 38[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtpldt0(v,u),sz00)** -> equal(v,sz00).
% 17.34/17.53 42[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u)* -> sdtlseqdt0(v,u) equal(u,sz00).
% 17.34/17.53 45[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u) -> equal(sdtpldt0(v,skf4(u,v)),u)**.
% 17.34/17.53 46[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u)*+ sdtlseqdt0(u,v)* -> equal(v,u).
% 17.34/17.53 48[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtasdt0(v,u),sz00)** -> equal(u,sz00) equal(v,sz00).
% 17.34/17.53 49[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(sdtpldt0(v,w),u)*+ -> sdtlseqdt0(v,u)*.
% 17.34/17.53 50[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u) equal(w,sdtmndt0(u,v))*+ -> aNaturalNumber0(w)*.
% 17.34/17.53 51[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(u,sdtasdt0(v,w))*+ -> doDivides0(v,u)*.
% 17.34/17.53 52[0:Inp] aNaturalNumber0(u) isPrime0(u) aNaturalNumber0(v) || doDivides0(v,u)* -> equal(v,u) equal(v,sz10).
% 17.34/17.53 54[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(v,u)*+ sdtlseqdt0(w,v)* -> sdtlseqdt0(w,u)*.
% 17.34/17.53 56[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(sdtpldt0(w,v),sdtpldt0(w,u))* -> equal(v,u).
% 17.34/17.53 58[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || -> equal(sdtpldt0(sdtpldt0(w,v),u),sdtpldt0(w,sdtpldt0(v,u)))**.
% 17.34/17.53 60[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u) equal(w,sdtmndt0(u,v))*+ -> equal(sdtpldt0(v,w),u)*.
% 17.34/17.53 65[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(w,u) -> equal(w,u) sdtlseqdt0(sdtpldt0(w,v),sdtpldt0(u,v))*.
% 17.34/17.53 69[0:Inp] || sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)).
% 17.34/17.53 73[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(v,w) equal(sdtpldt0(v,u),w)* -> equal(u,sdtmndt0(w,v))*.
% 17.34/17.53 77[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(v,w) equal(w,sdtasdt0(v,u))* -> equal(u,sdtsldt0(w,v))* equal(v,sz00).
% 17.34/17.53 81[0:MRR:73.3,49.4] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(sdtpldt0(v,w),u)*+ -> equal(w,sdtmndt0(u,v))*.
% 17.34/17.53 82[0:MRR:77.3,51.4] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(u,sdtasdt0(v,w))*+ -> equal(v,sz00) equal(w,sdtsldt0(u,v))*.
% 17.34/17.53 96[0:EmS:28.0,28.1,5.0,6.0] || equal(xp,sz10)** -> .
% 17.34/17.53 97[0:EmS:27.0,27.1,5.0,6.0] || equal(xp,sz00)** -> .
% 17.34/17.53 163[0:SpR:22.1,37.3] aNaturalNumber0(u) aNaturalNumber0(sz10) aNaturalNumber0(u) || -> equal(u,sz00) sdtlseqdt0(sz10,u)*.
% 17.34/17.53 167[0:SpR:33.2,37.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(v,sz00) sdtlseqdt0(u,sdtasdt0(v,u))*.
% 17.34/17.53 169[0:Obv:163.0] aNaturalNumber0(sz10) aNaturalNumber0(u) || -> equal(u,sz00) sdtlseqdt0(sz10,u)*.
% 17.34/17.53 170[0:SSi:169.0,2.0] aNaturalNumber0(u) || -> equal(u,sz00) sdtlseqdt0(sz10,u)*.
% 17.34/17.53 172[0:Obv:167.1] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(v,sz00) sdtlseqdt0(u,sdtasdt0(v,u))*.
% 17.34/17.53 197[0:Res:17.0,42.2] aNaturalNumber0(sdtasdt0(xr,xm)) aNaturalNumber0(xp) || -> sdtlseqdt0(xp,sdtasdt0(xr,xm))* equal(sdtasdt0(xr,xm),sz00).
% 17.34/17.53 198[0:Res:15.0,42.2] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 17.34/17.53 199[0:Res:36.3,42.2] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(skf7(u)) || -> equal(u,sz10) equal(u,sz00) sdtlseqdt0(skf7(u),u)* equal(u,sz00).
% 17.34/17.53 201[0:SSi:197.1,6.0,5.0] aNaturalNumber0(sdtasdt0(xr,xm)) || -> sdtlseqdt0(xp,sdtasdt0(xr,xm))* equal(sdtasdt0(xr,xm),sz00).
% 17.34/17.53 202[0:SSi:198.1,198.0,6.0,5.0,26.2,3.0,4.0] || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 17.34/17.53 203[0:Obv:199.4] aNaturalNumber0(u) aNaturalNumber0(skf7(u)) || -> equal(u,sz10) sdtlseqdt0(skf7(u),u)* equal(u,sz00).
% 17.34/17.53 204[0:SSi:203.1,8.0] aNaturalNumber0(u) || -> equal(u,sz10) sdtlseqdt0(skf7(u),u)* equal(u,sz00).
% 17.34/17.53 207[0:SoR:201.0,26.2] aNaturalNumber0(xr) aNaturalNumber0(xm) || -> sdtlseqdt0(xp,sdtasdt0(xr,xm))* equal(sdtasdt0(xr,xm),sz00).
% 17.34/17.53 208[0:Rew:33.2,207.3,33.2,207.2] aNaturalNumber0(xr) aNaturalNumber0(xm) || -> sdtlseqdt0(xp,sdtasdt0(xm,xr))* equal(sdtasdt0(xm,xr),sz00).
% 17.34/17.53 209[0:SSi:208.1,4.0] aNaturalNumber0(xr) || -> sdtlseqdt0(xp,sdtasdt0(xm,xr))* equal(sdtasdt0(xm,xr),sz00).
% 17.34/17.53 229[0:SpL:45.3,38.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(skf4(u,v)) aNaturalNumber0(v) || sdtlseqdt0(v,u)* equal(u,sz00) -> equal(v,sz00).
% 17.34/17.53 232[0:Obv:229.1] aNaturalNumber0(u) aNaturalNumber0(skf4(u,v)) aNaturalNumber0(v) || sdtlseqdt0(v,u)* equal(u,sz00) -> equal(v,sz00).
% 17.34/17.53 233[0:SSi:232.1,12.0] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u)* equal(u,sz00) -> equal(v,sz00).
% 17.34/17.53 241[0:Res:9.0,233.2] aNaturalNumber0(xn) aNaturalNumber0(xp) || equal(xn,sz00) -> equal(xp,sz00)**.
% 17.34/17.53 253[0:SSi:241.1,241.0,6.0,5.0,3.0] || equal(xn,sz00) -> equal(xp,sz00)**.
% 17.34/17.53 254[0:MRR:253.1,97.0] || equal(xn,sz00)** -> .
% 17.34/17.53 266[0:Res:170.2,46.2] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(sz10) || sdtlseqdt0(u,sz10)* -> equal(u,sz00) equal(sz10,u).
% 17.34/17.53 273[0:Res:202.0,46.2] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || sdtlseqdt0(sdtasdt0(xn,xm),xp)* -> equal(sdtasdt0(xn,xm),sz00) equal(sdtasdt0(xn,xm),xp).
% 17.34/17.53 277[0:Obv:266.0] aNaturalNumber0(u) aNaturalNumber0(sz10) || sdtlseqdt0(u,sz10)* -> equal(u,sz00) equal(sz10,u).
% 17.34/17.53 278[0:SSi:277.1,2.0] aNaturalNumber0(u) || sdtlseqdt0(u,sz10)* -> equal(u,sz00) equal(sz10,u).
% 17.34/17.53 281[0:SSi:273.1,273.0,6.0,5.0,26.2,3.0,4.0] || sdtlseqdt0(sdtasdt0(xn,xm),xp)* -> equal(sdtasdt0(xn,xm),sz00) equal(sdtasdt0(xn,xm),xp).
% 17.34/17.53 370[0:EqR:49.3] aNaturalNumber0(sdtpldt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(u,sdtpldt0(u,v))*.
% 17.34/17.53 376[0:SSi:370.0,25.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(u,sdtpldt0(u,v))*.
% 17.34/17.53 395[0:SpR:20.1,376.2] aNaturalNumber0(u) aNaturalNumber0(sz00) aNaturalNumber0(u) || -> sdtlseqdt0(sz00,u)*.
% 17.34/17.53 396[0:SpR:32.2,376.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(v) aNaturalNumber0(u) || -> sdtlseqdt0(v,sdtpldt0(u,v))*.
% 17.34/17.53 402[0:Obv:395.0] aNaturalNumber0(sz00) aNaturalNumber0(u) || -> sdtlseqdt0(sz00,u)*.
% 17.34/17.53 403[0:SSi:402.0,1.0] aNaturalNumber0(u) || -> sdtlseqdt0(sz00,u)*.
% 17.34/17.53 406[0:Obv:396.1] aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(u,sdtpldt0(v,u))*.
% 17.34/17.53 411[0:Res:403.1,46.2] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(sz00) || sdtlseqdt0(u,sz00)* -> equal(sz00,u).
% 17.34/17.53 414[0:Obv:411.0] aNaturalNumber0(u) aNaturalNumber0(sz00) || sdtlseqdt0(u,sz00)* -> equal(sz00,u).
% 17.34/17.53 415[0:SSi:414.1,1.0] aNaturalNumber0(u) || sdtlseqdt0(u,sz00)* -> equal(sz00,u).
% 17.34/17.53 420[0:EqR:51.3] aNaturalNumber0(sdtasdt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> doDivides0(u,sdtasdt0(u,v))*.
% 17.34/17.53 428[0:SSi:420.0,26.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> doDivides0(u,sdtasdt0(u,v))*.
% 17.34/17.53 474[0:SpR:33.2,428.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(v) aNaturalNumber0(u) || -> doDivides0(v,sdtasdt0(u,v))*.
% 17.34/17.53 491[0:Obv:474.1] aNaturalNumber0(u) aNaturalNumber0(v) || -> doDivides0(u,sdtasdt0(v,u))*.
% 17.34/17.53 510[0:EqR:50.3] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u) -> aNaturalNumber0(sdtmndt0(u,v))*.
% 17.34/17.53 511[0:SpL:16.0,50.3] aNaturalNumber0(xn) aNaturalNumber0(xp) || sdtlseqdt0(xp,xn)* equal(u,xr) -> aNaturalNumber0(u)*.
% 17.34/17.53 512[0:SSi:511.1,511.0,6.0,5.0,3.0] || sdtlseqdt0(xp,xn)* equal(u,xr) -> aNaturalNumber0(u)*.
% 17.34/17.53 513[0:MRR:512.0,9.0] || equal(u,xr) -> aNaturalNumber0(u)*.
% 17.34/17.53 533[0:SoR:209.0,513.1] || equal(xr,xr) -> sdtlseqdt0(xp,sdtasdt0(xm,xr))* equal(sdtasdt0(xm,xr),sz00).
% 17.34/17.53 537[0:Obv:533.0] || -> sdtlseqdt0(xp,sdtasdt0(xm,xr))* equal(sdtasdt0(xm,xr),sz00).
% 17.34/17.53 578[0:SpR:58.3,32.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) aNaturalNumber0(sdtpldt0(w,v)) aNaturalNumber0(u) || -> equal(sdtpldt0(u,sdtpldt0(w,v)),sdtpldt0(w,sdtpldt0(v,u)))*.
% 17.34/17.53 582[0:SpR:20.1,58.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(sz00) || -> equal(sdtpldt0(sz00,sdtpldt0(u,v)),sdtpldt0(u,v))**.
% 17.34/17.53 585[0:SpR:32.2,58.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) aNaturalNumber0(v) aNaturalNumber0(u) || -> equal(sdtpldt0(sdtpldt0(v,u),w),sdtpldt0(u,sdtpldt0(v,w)))**.
% 17.34/17.53 592[0:Obv:582.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz00) || -> equal(sdtpldt0(sz00,sdtpldt0(v,u)),sdtpldt0(v,u))**.
% 17.34/17.53 593[0:SSi:592.2,1.0] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtpldt0(sz00,sdtpldt0(v,u)),sdtpldt0(v,u))**.
% 17.34/17.53 599[0:Obv:585.1] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || -> equal(sdtpldt0(sdtpldt0(v,w),u),sdtpldt0(w,sdtpldt0(v,u)))**.
% 17.34/17.53 600[0:Rew:58.3,599.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || -> equal(sdtpldt0(v,sdtpldt0(w,u)),sdtpldt0(w,sdtpldt0(v,u)))*.
% 17.34/17.53 607[0:Obv:578.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sdtpldt0(v,u)) aNaturalNumber0(w) || -> equal(sdtpldt0(w,sdtpldt0(v,u)),sdtpldt0(v,sdtpldt0(u,w)))*.
% 17.34/17.53 608[0:SSi:607.2,25.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || -> equal(sdtpldt0(w,sdtpldt0(v,u)),sdtpldt0(v,sdtpldt0(u,w)))*.
% 17.34/17.53 619[1:Spt:537.1] || -> equal(sdtasdt0(xm,xr),sz00)**.
% 17.34/17.53 624[1:SpR:619.0,172.3] aNaturalNumber0(xr) aNaturalNumber0(xm) || -> equal(xm,sz00) sdtlseqdt0(xr,sz00)*.
% 17.34/17.53 628[1:SpL:619.0,48.2] aNaturalNumber0(xr) aNaturalNumber0(xm) || equal(sz00,sz00) -> equal(xr,sz00)** equal(xm,sz00).
% 17.34/17.53 630[1:SSi:624.1,4.0] aNaturalNumber0(xr) || -> equal(xm,sz00) sdtlseqdt0(xr,sz00)*.
% 17.34/17.53 632[1:Obv:628.2] aNaturalNumber0(xr) aNaturalNumber0(xm) || -> equal(xr,sz00)** equal(xm,sz00).
% 17.34/17.53 633[1:SSi:632.1,4.0] aNaturalNumber0(xr) || -> equal(xr,sz00)** equal(xm,sz00).
% 17.34/17.53 634[1:Rew:633.1,630.2] aNaturalNumber0(xr) || -> equal(xm,sz00) sdtlseqdt0(sz00,sz00)*.
% 17.34/17.53 639[1:SoR:633.0,513.1] || equal(xr,xr)* -> equal(xr,sz00) equal(xm,sz00).
% 17.34/17.53 640[1:Obv:639.0] || -> equal(xr,sz00)** equal(xm,sz00).
% 17.34/17.53 641[2:Spt:640.0] || -> equal(xr,sz00)**.
% 17.34/17.53 644[2:Rew:641.0,16.0] || -> equal(sdtmndt0(xn,xp),sz00)**.
% 17.34/17.53 647[2:Rew:641.0,513.0] || equal(u,sz00) -> aNaturalNumber0(u)*.
% 17.34/17.53 650[2:Rew:641.0,69.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) -> equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))**.
% 17.34/17.53 671[2:Rew:641.0,650.1] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz00,xm),xp)).
% 17.34/17.53 711[2:SoR:634.0,647.1] || equal(xr,sz00) -> equal(xm,sz00) sdtlseqdt0(sz00,sz00)*.
% 17.34/17.53 712[2:Rew:641.0,711.0] || equal(sz00,sz00) -> equal(xm,sz00) sdtlseqdt0(sz00,sz00)*.
% 17.34/17.53 713[2:Obv:712.0] || -> equal(xm,sz00) sdtlseqdt0(sz00,sz00)*.
% 17.34/17.53 771[3:Spt:713.0] || -> equal(xm,sz00)**.
% 17.34/17.53 786[3:Rew:771.0,671.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp)) -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz00,xm),xp))**.
% 17.34/17.53 799[3:Rew:771.0,786.1] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))* -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(sdtpldt0(sz00,sz00),xp)).
% 17.34/17.53 828[0:EqR:81.3] aNaturalNumber0(sdtpldt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtmndt0(sdtpldt0(u,v),u),v)**.
% 17.34/17.53 832[0:SpL:19.1,81.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(sz00) || equal(u,v) -> equal(sdtmndt0(v,u),sz00)**.
% 17.34/17.53 835[0:SSi:828.0,25.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtmndt0(sdtpldt0(u,v),u),v)**.
% 17.34/17.53 836[0:Obv:832.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz00) || equal(v,u) -> equal(sdtmndt0(u,v),sz00)**.
% 17.34/17.53 837[0:SSi:836.2,1.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(v,u) -> equal(sdtmndt0(u,v),sz00)**.
% 17.34/17.53 874[0:SpL:19.1,56.3] aNaturalNumber0(u) aNaturalNumber0(sz00) aNaturalNumber0(v) aNaturalNumber0(u) || equal(sdtpldt0(u,v),u)** -> equal(v,sz00).
% 17.34/17.53 877[0:Obv:874.0] aNaturalNumber0(sz00) aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtpldt0(v,u),v)** -> equal(u,sz00).
% 17.34/17.53 878[0:SSi:877.0,1.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtpldt0(v,u),v)** -> equal(u,sz00).
% 17.34/17.53 1039[0:Res:9.0,54.3] aNaturalNumber0(xn) aNaturalNumber0(xp) aNaturalNumber0(u) || sdtlseqdt0(u,xp)* -> sdtlseqdt0(u,xn).
% 17.34/17.53 1054[0:SSi:1039.1,1039.0,6.0,5.0,3.0] aNaturalNumber0(u) || sdtlseqdt0(u,xp)* -> sdtlseqdt0(u,xn).
% 17.34/17.53 1081[0:Res:170.2,1054.1] aNaturalNumber0(xp) aNaturalNumber0(sz10) || -> equal(xp,sz00) sdtlseqdt0(sz10,xn)*.
% 17.34/17.53 1082[0:Res:204.2,1054.1] aNaturalNumber0(xp) aNaturalNumber0(skf7(xp)) || -> equal(xp,sz10) equal(xp,sz00) sdtlseqdt0(skf7(xp),xn)*.
% 17.34/17.53 1087[0:SSi:1081.1,1081.0,2.0,6.0,5.0] || -> equal(xp,sz00) sdtlseqdt0(sz10,xn)*.
% 17.34/17.53 1088[0:MRR:1087.0,97.0] || -> sdtlseqdt0(sz10,xn)*.
% 17.34/17.53 1096[0:SSi:1082.1,1082.0,8.0,6.0,5.0,6.0,5.0] || -> equal(xp,sz10) equal(xp,sz00) sdtlseqdt0(skf7(xp),xn)*.
% 17.34/17.53 1097[0:MRR:1096.0,1096.1,96.0,97.0] || -> sdtlseqdt0(skf7(xp),xn)*.
% 17.34/17.53 1102[0:Res:1097.0,54.3] aNaturalNumber0(xn) aNaturalNumber0(skf7(xp)) aNaturalNumber0(u) || sdtlseqdt0(u,skf7(xp))* -> sdtlseqdt0(u,xn).
% 17.34/17.53 1105[0:SSi:1102.1,1102.0,8.0,6.0,5.0,3.0] aNaturalNumber0(u) || sdtlseqdt0(u,skf7(xp))* -> sdtlseqdt0(u,xn).
% 17.34/17.53 1147[0:EqR:60.3] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u) -> equal(sdtpldt0(v,sdtmndt0(u,v)),u)**.
% 17.34/17.53 1148[2:SpL:644.0,60.3] aNaturalNumber0(xn) aNaturalNumber0(xp) || sdtlseqdt0(xp,xn) equal(u,sz00) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 1149[2:SSi:1148.1,1148.0,6.0,5.0,3.0] || sdtlseqdt0(xp,xn) equal(u,sz00) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 1150[2:MRR:1149.0,9.0] || equal(u,sz00) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 1155[2:SpR:1150.1,19.1] aNaturalNumber0(xp) || equal(sz00,sz00) -> equal(xp,xn)**.
% 17.34/17.53 1168[2:Obv:1155.1] aNaturalNumber0(xp) || -> equal(xp,xn)**.
% 17.34/17.53 1169[2:SSi:1168.0,6.0,5.0] || -> equal(xp,xn)**.
% 17.34/17.53 1170[2:Rew:1169.0,6.0] || -> isPrime0(xn)*.
% 17.34/17.53 1173[2:Rew:1169.0,96.0] || equal(xn,sz10)** -> .
% 17.34/17.53 1178[2:Rew:1169.0,644.0] || -> equal(sdtmndt0(xn,xn),sz00)**.
% 17.34/17.53 1187[3:Rew:1169.0,799.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz00),xn),sdtpldt0(sdtpldt0(xn,sz00),xn)) -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(sdtpldt0(sz00,sz00),xp))**.
% 17.34/17.53 1189[2:Rew:1169.0,1105.1] aNaturalNumber0(u) || sdtlseqdt0(u,skf7(xn))* -> sdtlseqdt0(u,xn).
% 17.34/17.53 1215[3:Rew:1169.0,1187.1] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz00),xn),sdtpldt0(sdtpldt0(xn,sz00),xn))* -> equal(sdtpldt0(sdtpldt0(xn,sz00),xn),sdtpldt0(sdtpldt0(sz00,sz00),xn)).
% 17.34/17.53 1478[2:Res:29.2,1189.1] aNaturalNumber0(skf7(xn)) aNaturalNumber0(u) aNaturalNumber0(u) || -> sdtlseqdt0(skf7(xn),u)* sdtlseqdt0(u,xn)*.
% 17.34/17.53 1485[2:Obv:1478.1] aNaturalNumber0(skf7(xn)) aNaturalNumber0(u) || -> sdtlseqdt0(skf7(xn),u)* sdtlseqdt0(u,xn)*.
% 17.34/17.53 1486[2:SSi:1485.0,8.0,3.0,1170.0] aNaturalNumber0(u) || -> sdtlseqdt0(skf7(xn),u)* sdtlseqdt0(u,xn)*.
% 17.34/17.53 1756[0:SpR:19.1,835.2] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(sz00) || -> equal(sdtmndt0(u,u),sz00)**.
% 17.34/17.53 1761[0:SpL:835.2,50.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sdtpldt0(u,v)) aNaturalNumber0(u) || sdtlseqdt0(u,sdtpldt0(u,v))* equal(w,v)* -> aNaturalNumber0(w)*.
% 17.34/17.53 1765[0:Obv:1756.0] aNaturalNumber0(u) aNaturalNumber0(sz00) || -> equal(sdtmndt0(u,u),sz00)**.
% 17.34/17.53 1766[0:SSi:1765.1,1.0] aNaturalNumber0(u) || -> equal(sdtmndt0(u,u),sz00)**.
% 17.34/17.53 1782[0:Obv:1761.0] aNaturalNumber0(u) aNaturalNumber0(sdtpldt0(v,u)) aNaturalNumber0(v) || sdtlseqdt0(v,sdtpldt0(v,u))* equal(w,u)* -> aNaturalNumber0(w)*.
% 17.34/17.53 1783[0:SSi:1782.1,25.2] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,sdtpldt0(v,u))* equal(w,u)* -> aNaturalNumber0(w)*.
% 17.34/17.53 1784[0:MRR:1783.2,376.2] aNaturalNumber0(u) aNaturalNumber0(v) || equal(w,u)* -> aNaturalNumber0(w)*.
% 17.34/17.53 1827[0:EmS:1784.1,12.0] aNaturalNumber0(u) || equal(v,u)*+ -> aNaturalNumber0(v)*.
% 17.34/17.53 1840[0:MRR:837.0,1827.2] aNaturalNumber0(u) || equal(u,v) -> equal(sdtmndt0(v,u),sz00)**.
% 17.34/17.53 2198[3:SpL:32.2,1215.0] aNaturalNumber0(xn) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz00),xn),sdtpldt0(sdtpldt0(sz00,xn),xn)) -> equal(sdtpldt0(sdtpldt0(xn,sz00),xn),sdtpldt0(sdtpldt0(sz00,sz00),xn))**.
% 17.34/17.53 2236[3:Rew:20.1,2198.3,32.2,2198.3,20.1,2198.3,19.1,2198.3,20.1,2198.2,19.1,2198.2,20.1,2198.2] aNaturalNumber0(xn) aNaturalNumber0(sz00) || sdtlseqdt0(xn,sdtpldt0(xn,xn))* -> equal(sdtpldt0(xn,xn),xn).
% 17.34/17.53 2237[3:SSi:2236.1,2236.0,1.0,3.0,1170.0] || sdtlseqdt0(xn,sdtpldt0(xn,xn))* -> equal(sdtpldt0(xn,xn),xn).
% 17.34/17.53 2282[0:SpL:23.1,82.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(sz00) || equal(v,sz00) -> equal(u,sz00) equal(sdtsldt0(v,u),sz00)**.
% 17.34/17.53 2283[0:SpL:21.1,82.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(sz10) || equal(v,u) -> equal(u,sz00) equal(sdtsldt0(v,u),sz10)**.
% 17.34/17.53 2294[0:Obv:2283.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz10) || equal(u,v) -> equal(v,sz00) equal(sdtsldt0(u,v),sz10)**.
% 17.34/17.53 2295[0:SSi:2294.2,2.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,v) -> equal(v,sz00) equal(sdtsldt0(u,v),sz10)**.
% 17.34/17.53 2296[0:MRR:2295.0,1827.2] aNaturalNumber0(u) || equal(v,u) -> equal(u,sz00) equal(sdtsldt0(v,u),sz10)**.
% 17.34/17.53 2297[0:Obv:2282.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz00) || equal(u,sz00) -> equal(v,sz00) equal(sdtsldt0(u,v),sz00)**.
% 17.34/17.53 2298[0:SSi:2297.2,1.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,sz00) -> equal(v,sz00) equal(sdtsldt0(u,v),sz00)**.
% 17.34/17.53 2299[2:MRR:2298.0,647.1] aNaturalNumber0(u) || equal(v,sz00) -> equal(u,sz00) equal(sdtsldt0(v,u),sz00)**.
% 17.34/17.53 2414[3:Res:376.2,2237.0] aNaturalNumber0(xn) aNaturalNumber0(xn) || -> equal(sdtpldt0(xn,xn),xn)**.
% 17.34/17.53 2416[3:Obv:2414.0] aNaturalNumber0(xn) || -> equal(sdtpldt0(xn,xn),xn)**.
% 17.34/17.53 2417[3:SSi:2416.0,3.0,1170.0] || -> equal(sdtpldt0(xn,xn),xn)**.
% 17.34/17.53 2436[3:SpR:2417.0,835.2] aNaturalNumber0(xn) aNaturalNumber0(xn) || -> equal(sdtmndt0(xn,xn),xn)**.
% 17.34/17.53 2453[3:Obv:2436.0] aNaturalNumber0(xn) || -> equal(sdtmndt0(xn,xn),xn)**.
% 17.34/17.53 2454[3:Rew:1178.0,2453.1] aNaturalNumber0(xn) || -> equal(xn,sz00)**.
% 17.34/17.53 2455[3:SSi:2454.0,3.0,1170.0] || -> equal(xn,sz00)**.
% 17.34/17.53 2456[3:MRR:2455.0,254.0] || -> .
% 17.34/17.53 2475[3:Spt:2456.0,713.0,771.0] || equal(xm,sz00)** -> .
% 17.34/17.53 2476[3:Spt:2456.0,713.1] || -> sdtlseqdt0(sz00,sz00)*.
% 17.34/17.53 2479[2:Rew:1169.0,202.0] || -> sdtlseqdt0(xn,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 17.34/17.53 2484[2:Rew:1169.0,281.2,1169.0,281.0] || sdtlseqdt0(sdtasdt0(xn,xm),xn)* -> equal(sdtasdt0(xn,xm),sz00) equal(sdtasdt0(xn,xm),xn).
% 17.34/17.53 2486[2:Rew:1169.0,671.1,1169.0,671.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,xm),xn),sdtpldt0(sdtpldt0(xn,xm),xn))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xn),sdtpldt0(sdtpldt0(sz00,xm),xn)).
% 17.34/17.53 2536[2:SpL:58.3,2486.0] aNaturalNumber0(xn) aNaturalNumber0(xm) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xn,xm),xn))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xn),sdtpldt0(sdtpldt0(sz00,xm),xn)).
% 17.34/17.53 2553[2:Rew:32.2,2536.4,58.3,2536.4,32.2,2536.3] aNaturalNumber0(xn) aNaturalNumber0(xm) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xn))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xn),sdtpldt0(sz00,sdtpldt0(xn,xm))).
% 17.34/17.53 2554[2:Rew:593.2,2553.4,593.2,2553.3] aNaturalNumber0(xn) aNaturalNumber0(xm) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xn))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xn),sdtpldt0(xn,xm)).
% 17.34/17.53 2555[2:SSi:2554.2,2554.1,2554.0,1.0,4.0,3.0,1170.0] || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xn))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xn),sdtpldt0(xn,xm)).
% 17.34/17.53 2563[4:Spt:2479.1] || -> equal(sdtasdt0(xn,xm),sz00)**.
% 17.34/17.53 2578[4:SpL:2563.0,82.3] aNaturalNumber0(u) aNaturalNumber0(xn) aNaturalNumber0(xm) || equal(u,sz00) -> equal(xn,sz00) equal(sdtsldt0(u,xn),xm)**.
% 17.34/17.53 2594[4:Rew:2299.3,2578.5] aNaturalNumber0(u) aNaturalNumber0(xn) aNaturalNumber0(xm) || equal(u,sz00)* -> equal(xn,sz00) equal(xm,sz00)**.
% 17.34/17.53 2595[4:SSi:2594.2,2594.1,4.0,3.0,1170.0] aNaturalNumber0(u) || equal(u,sz00)* -> equal(xn,sz00) equal(xm,sz00)**.
% 17.34/17.53 2596[4:MRR:2595.0,2595.2,2595.3,647.1,254.0,2475.0] || equal(u,sz00)* -> .
% 17.34/17.53 2597[4:UnC:2596.0,1178.0] || -> .
% 17.34/17.53 2598[4:Spt:2597.0,2479.1,2563.0] || equal(sdtasdt0(xn,xm),sz00)** -> .
% 17.34/17.53 2599[4:Spt:2597.0,2479.0] || -> sdtlseqdt0(xn,sdtasdt0(xn,xm))*.
% 17.34/17.53 2600[4:MRR:2484.1,2598.0] || sdtlseqdt0(sdtasdt0(xn,xm),xn)* -> equal(sdtasdt0(xn,xm),xn).
% 17.34/17.53 2771[4:Res:1486.2,2600.0] aNaturalNumber0(sdtasdt0(xn,xm)) || -> sdtlseqdt0(skf7(xn),sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),xn).
% 17.34/17.53 2776[4:SSi:2771.0,26.0,3.0,1170.0,4.2] || -> sdtlseqdt0(skf7(xn),sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),xn).
% 17.34/17.53 2780[5:Spt:2776.1] || -> equal(sdtasdt0(xn,xm),xn)**.
% 17.34/17.53 2791[5:SpR:2780.0,491.2] aNaturalNumber0(xm) aNaturalNumber0(xn) || -> doDivides0(xm,xn)*.
% 17.34/17.53 2799[5:SpL:2780.0,82.3] aNaturalNumber0(u) aNaturalNumber0(xn) aNaturalNumber0(xm) || equal(u,xn) -> equal(xn,sz00) equal(sdtsldt0(u,xn),xm)**.
% 17.34/17.53 2804[5:SSi:2791.1,2791.0,3.0,1170.0,4.0] || -> doDivides0(xm,xn)*.
% 17.34/17.53 2812[5:Rew:2296.3,2799.5] aNaturalNumber0(u) aNaturalNumber0(xn) aNaturalNumber0(xm) || equal(u,xn)* -> equal(xn,sz00) equal(xm,sz10)**.
% 17.34/17.53 2813[5:SSi:2812.2,2812.1,4.0,3.0,1170.0] aNaturalNumber0(u) || equal(u,xn)* -> equal(xn,sz00) equal(xm,sz10)**.
% 17.34/17.53 2814[5:MRR:2813.2,254.0] aNaturalNumber0(u) || equal(u,xn)* -> equal(xm,sz10)**.
% 17.34/17.53 2864[5:Res:2804.0,52.3] aNaturalNumber0(xn) isPrime0(xn) aNaturalNumber0(xm) || -> equal(xm,xn)** equal(xm,sz10).
% 17.34/17.53 2866[5:SSi:2864.2,2864.1,2864.0,4.0,3.0,1170.0,3.0,1170.0] || -> equal(xm,xn)** equal(xm,sz10).
% 17.34/17.53 2872[6:Spt:2866.0] || -> equal(xm,xn)**.
% 17.34/17.53 2900[6:Rew:2872.0,2814.2] aNaturalNumber0(u) || equal(u,xn)* -> equal(xn,sz10)**.
% 17.34/17.53 2904[6:MRR:2900.2,1173.0] aNaturalNumber0(u) || equal(u,xn)* -> .
% 17.34/17.53 3054[6:EmS:2904.0,3.0] || equal(xn,xn)* -> .
% 17.34/17.53 3055[6:Obv:3054.0] || -> .
% 17.34/17.53 3057[6:Spt:3055.0,2866.0,2872.0] || equal(xm,xn)** -> .
% 17.34/17.53 3058[6:Spt:3055.0,2866.1] || -> equal(xm,sz10)**.
% 17.34/17.53 3078[6:Rew:3058.0,2555.1,3058.0,2555.0] || sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,sz10),xn))* -> equal(sdtpldt0(sdtpldt0(xn,sz10),xn),sdtpldt0(xn,sz10)).
% 17.34/17.53 3083[6:Rew:3058.0,2486.1,3058.0,2486.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(sdtpldt0(xn,sz10),xn))* -> equal(sdtpldt0(sdtpldt0(xn,sz10),xn),sdtpldt0(sdtpldt0(sz00,sz10),xn)).
% 17.34/17.53 3095[7:Spt:3083.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(sdtpldt0(xn,sz10),xn))* -> .
% 17.34/17.53 3097[7:SpL:32.2,3095.0] aNaturalNumber0(sz10) aNaturalNumber0(xn) || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(sdtpldt0(sz10,xn),xn))* -> .
% 17.34/17.53 3119[7:Rew:20.1,3097.2] aNaturalNumber0(sz10) aNaturalNumber0(xn) || sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sdtpldt0(sz10,xn),xn))* -> .
% 17.34/17.53 3120[7:SSi:3119.1,3119.0,3.0,1170.0,2.0] || sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sdtpldt0(sz10,xn),xn))* -> .
% 17.34/17.53 3364[7:Res:376.2,3120.0] aNaturalNumber0(sdtpldt0(sz10,xn)) aNaturalNumber0(xn) || -> .
% 17.34/17.53 3366[7:SSi:3364.1,3364.0,3.0,1170.0,25.0,2.2,3.0,1170.0] || -> .
% 17.34/17.53 3372[7:Spt:3366.0,3083.0,3095.0] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(sdtpldt0(xn,sz10),xn))*.
% 17.34/17.53 3373[7:Spt:3366.0,3083.1] || -> equal(sdtpldt0(sdtpldt0(xn,sz10),xn),sdtpldt0(sdtpldt0(sz00,sz10),xn))**.
% 17.34/17.53 3374[7:Rew:3373.0,3078.1] || sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,sz10),xn))* -> equal(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(xn,sz10)).
% 17.34/17.53 3379[7:Rew:3373.0,3374.0] || sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(sz00,sz10),xn))* -> equal(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(xn,sz10)).
% 17.34/17.53 3391[7:SpR:3373.0,376.2] aNaturalNumber0(sdtpldt0(xn,sz10)) aNaturalNumber0(xn) || -> sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(sz00,sz10),xn))*.
% 17.34/17.53 3392[7:SpR:3373.0,835.2] aNaturalNumber0(sdtpldt0(xn,sz10)) aNaturalNumber0(xn) || -> equal(sdtmndt0(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(xn,sz10)),xn)**.
% 17.34/17.53 3414[7:SSi:3391.1,3391.0,3.0,1170.0,25.0,3.2,1170.0,2.0] || -> sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(sz00,sz10),xn))*.
% 17.34/17.53 3415[7:MRR:3379.0,3414.0] || -> equal(sdtpldt0(sdtpldt0(sz00,sz10),xn),sdtpldt0(xn,sz10))**.
% 17.34/17.53 3434[7:Rew:3415.0,3392.2] aNaturalNumber0(sdtpldt0(xn,sz10)) aNaturalNumber0(xn) || -> equal(sdtmndt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10)),xn)**.
% 17.34/17.53 3435[7:Rew:1766.1,3434.2] aNaturalNumber0(sdtpldt0(xn,sz10)) aNaturalNumber0(xn) || -> equal(xn,sz00)**.
% 17.34/17.53 3436[7:SSi:3435.1,3435.0,3.0,1170.0,25.0,3.2,1170.0,2.0] || -> equal(xn,sz00)**.
% 17.34/17.53 3437[7:MRR:3436.0,254.0] || -> .
% 17.34/17.53 3475[5:Spt:3437.0,2776.1,2780.0] || equal(sdtasdt0(xn,xm),xn)** -> .
% 17.34/17.53 3476[5:Spt:3437.0,2776.0] || -> sdtlseqdt0(skf7(xn),sdtasdt0(xn,xm))*.
% 17.34/17.53 3550[6:Spt:2486.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,xm),xn),sdtpldt0(sdtpldt0(xn,xm),xn))* -> .
% 17.34/17.53 3563[6:SpL:58.3,3550.0] aNaturalNumber0(xn) aNaturalNumber0(xm) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xn,xm),xn))* -> .
% 17.34/17.53 3579[6:Rew:32.2,3563.3] aNaturalNumber0(xn) aNaturalNumber0(xm) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xn))* -> .
% 17.34/17.53 3580[6:Rew:593.2,3579.3] aNaturalNumber0(xn) aNaturalNumber0(xm) aNaturalNumber0(sz00) || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xn))* -> .
% 17.34/17.53 3581[6:SSi:3580.2,3580.1,3580.0,1.0,4.0,3.0,1170.0] || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xn))* -> .
% 17.34/17.53 3817[6:Res:376.2,3581.0] aNaturalNumber0(sdtpldt0(xn,xm)) aNaturalNumber0(xn) || -> .
% 17.34/17.53 3818[6:SSi:3817.1,3817.0,3.0,1170.0,25.0,3.2,1170.0,4.0] || -> .
% 17.34/17.53 3824[6:Spt:3818.0,2486.0,3550.0] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,xm),xn),sdtpldt0(sdtpldt0(xn,xm),xn))*.
% 17.34/17.53 3825[6:Spt:3818.0,2486.1] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xn),sdtpldt0(sdtpldt0(sz00,xm),xn))**.
% 17.34/17.53 3829[6:Rew:3825.0,2555.1,3825.0,2555.0] || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(sz00,xm),xn))* -> equal(sdtpldt0(sdtpldt0(sz00,xm),xn),sdtpldt0(xn,xm)).
% 17.34/17.53 3842[6:SpR:3825.0,376.2] aNaturalNumber0(sdtpldt0(xn,xm)) aNaturalNumber0(xn) || -> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(sz00,xm),xn))*.
% 17.34/17.53 3843[6:SpR:3825.0,835.2] aNaturalNumber0(sdtpldt0(xn,xm)) aNaturalNumber0(xn) || -> equal(sdtmndt0(sdtpldt0(sdtpldt0(sz00,xm),xn),sdtpldt0(xn,xm)),xn)**.
% 17.34/17.53 3863[6:SSi:3842.1,3842.0,3.0,1170.0,25.0,3.2,1170.0,4.0] || -> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(sz00,xm),xn))*.
% 17.34/17.53 3864[6:MRR:3829.0,3863.0] || -> equal(sdtpldt0(sdtpldt0(sz00,xm),xn),sdtpldt0(xn,xm))**.
% 17.34/17.53 3880[6:Rew:3864.0,3843.2] aNaturalNumber0(sdtpldt0(xn,xm)) aNaturalNumber0(xn) || -> equal(sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),xn)**.
% 17.34/17.53 3881[6:Rew:1766.1,3880.2] aNaturalNumber0(sdtpldt0(xn,xm)) aNaturalNumber0(xn) || -> equal(xn,sz00)**.
% 17.34/17.53 3882[6:SSi:3881.1,3881.0,3.0,1170.0,25.0,3.2,1170.0,4.0] || -> equal(xn,sz00)**.
% 17.34/17.53 3883[6:MRR:3882.0,254.0] || -> .
% 17.34/17.53 3920[2:Spt:3883.0,640.0,641.0] || equal(xr,sz00)** -> .
% 17.34/17.53 3921[2:Spt:3883.0,640.1] || -> equal(xm,sz00)**.
% 17.34/17.53 3954[2:Rew:3921.0,69.1,3921.0,69.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))* -> equal(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp)).
% 17.34/17.53 3966[0:Res:10.0,54.3] aNaturalNumber0(xn) aNaturalNumber0(xr) aNaturalNumber0(u) || sdtlseqdt0(u,xr)* -> sdtlseqdt0(u,xn).
% 17.34/17.53 3968[0:SSi:3966.0,3.0] aNaturalNumber0(xr) aNaturalNumber0(u) || sdtlseqdt0(u,xr)* -> sdtlseqdt0(u,xn).
% 17.34/17.53 4015[0:SpL:16.0,60.3] aNaturalNumber0(xn) aNaturalNumber0(xp) || sdtlseqdt0(xp,xn) equal(u,xr) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 4017[0:SSi:4015.1,4015.0,5.0,6.0,3.0] || sdtlseqdt0(xp,xn) equal(u,xr) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 4018[0:MRR:4017.0,9.0] || equal(u,xr) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 4156[0:SpR:4018.1,32.2] aNaturalNumber0(u) aNaturalNumber0(xp) || equal(u,xr) -> equal(sdtpldt0(u,xp),xn)**.
% 17.34/17.53 4163[0:SpR:4018.1,19.1] aNaturalNumber0(xp) || equal(xr,sz00)** -> equal(xp,xn).
% 17.34/17.53 4177[0:SpL:4018.1,49.3] aNaturalNumber0(u) aNaturalNumber0(xp) aNaturalNumber0(v) || equal(v,xr)* equal(xn,u) -> sdtlseqdt0(xp,u)*.
% 17.34/17.53 4184[0:SSi:4156.1,5.0,6.0] aNaturalNumber0(u) || equal(u,xr) -> equal(sdtpldt0(u,xp),xn)**.
% 17.34/17.53 4185[0:MRR:4184.0,513.1] || equal(u,xr) -> equal(sdtpldt0(u,xp),xn)**.
% 17.34/17.53 4187[0:SSi:4177.1,5.0,6.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(v,xr)* equal(xn,u) -> sdtlseqdt0(xp,u)*.
% 17.34/17.53 4188[0:MRR:4187.1,513.1] aNaturalNumber0(u) || equal(v,xr)* equal(xn,u) -> sdtlseqdt0(xp,u)*.
% 17.34/17.53 4453[0:SpR:1840.2,16.0] aNaturalNumber0(xp) || equal(xp,xn) -> equal(xr,sz00)**.
% 17.34/17.53 4457[0:SSi:4453.0,5.0,6.0] || equal(xp,xn) -> equal(xr,sz00)**.
% 17.34/17.53 4782[0:SoR:3968.0,513.1] aNaturalNumber0(u) || sdtlseqdt0(u,xr)* equal(xr,xr) -> sdtlseqdt0(u,xn).
% 17.34/17.53 4785[0:Obv:4782.2] aNaturalNumber0(u) || sdtlseqdt0(u,xr)* -> sdtlseqdt0(u,xn).
% 17.34/17.53 4802[0:Res:204.2,4785.1] aNaturalNumber0(xr) aNaturalNumber0(skf7(xr)) || -> equal(xr,sz10) equal(xr,sz00) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 4809[0:SSi:4802.1,8.0] aNaturalNumber0(xr) || -> equal(xr,sz10) equal(xr,sz00) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 4810[2:MRR:4809.2,3920.0] aNaturalNumber0(xr) || -> equal(xr,sz10) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 4814[2:SoR:4810.0,513.1] || equal(xr,xr) -> equal(xr,sz10) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 4817[2:Obv:4814.0] || -> equal(xr,sz10) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 4818[3:Spt:4817.0] || -> equal(xr,sz10)**.
% 17.34/17.53 4820[3:Rew:4818.0,14.0] || equal(xn,sz10)** -> .
% 17.34/17.53 4830[3:Rew:4818.0,4018.0] || equal(u,sz10) -> equal(sdtpldt0(xp,u),xn)**.
% 17.34/17.53 4832[3:Rew:4818.0,3954.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp)) -> equal(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))**.
% 17.34/17.53 4910[3:Rew:4818.0,4832.1] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))* -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(sdtpldt0(sz10,sz00),xp)).
% 17.34/17.53 4994[4:Spt:4910.1] || -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(sdtpldt0(sz10,sz00),xp))**.
% 17.34/17.53 5037[4:SpR:19.1,4994.0] aNaturalNumber0(xn) || -> equal(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(xn,xp))**.
% 17.34/17.53 5048[4:SSi:5037.0,3.0] || -> equal(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(xn,xp))**.
% 17.34/17.53 5197[4:SpR:5048.0,32.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(sz10,sz00)) || -> equal(sdtpldt0(xp,sdtpldt0(sz10,sz00)),sdtpldt0(xn,xp))**.
% 17.34/17.53 5214[4:SpR:19.1,5048.0] aNaturalNumber0(sz10) || -> equal(sdtpldt0(xn,xp),sdtpldt0(sz10,xp))**.
% 17.34/17.53 5225[4:SSi:5214.0,2.0] || -> equal(sdtpldt0(xn,xp),sdtpldt0(sz10,xp))**.
% 17.34/17.53 5291[4:Rew:5225.0,5197.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(sz10,sz00)) || -> equal(sdtpldt0(xp,sdtpldt0(sz10,sz00)),sdtpldt0(sz10,xp))**.
% 17.34/17.53 5292[4:SSi:5291.1,5291.0,25.0,2.0,1.0,5.0,6.2] || -> equal(sdtpldt0(xp,sdtpldt0(sz10,sz00)),sdtpldt0(sz10,xp))**.
% 17.34/17.53 5414[4:SpR:5225.0,835.2] aNaturalNumber0(xn) aNaturalNumber0(xp) || -> equal(sdtmndt0(sdtpldt0(sz10,xp),xn),xp)**.
% 17.34/17.53 5429[4:SSi:5414.1,5414.0,5.0,6.0,3.0] || -> equal(sdtmndt0(sdtpldt0(sz10,xp),xn),xp)**.
% 17.34/17.53 5525[4:SpR:5429.0,1840.2] aNaturalNumber0(xn) || equal(sdtpldt0(sz10,xp),xn)** -> equal(xp,sz00).
% 17.34/17.53 5530[4:SSi:5525.0,3.0] || equal(sdtpldt0(sz10,xp),xn)** -> equal(xp,sz00).
% 17.34/17.53 5531[4:MRR:5530.1,97.0] || equal(sdtpldt0(sz10,xp),xn)** -> .
% 17.34/17.53 5740[4:SpR:5292.0,4830.1] || equal(sdtpldt0(sz10,sz00),sz10) -> equal(sdtpldt0(sz10,xp),xn)**.
% 17.34/17.53 5762[4:MRR:5740.1,5531.0] || equal(sdtpldt0(sz10,sz00),sz10)** -> .
% 17.34/17.53 5819[4:SpL:32.2,5762.0] aNaturalNumber0(sz10) aNaturalNumber0(sz00) || equal(sdtpldt0(sz00,sz10),sz10)** -> .
% 17.34/17.53 5825[4:Rew:20.1,5819.2] aNaturalNumber0(sz10) aNaturalNumber0(sz00) || equal(sz10,sz10)* -> .
% 17.34/17.53 5826[4:Obv:5825.2] aNaturalNumber0(sz10) aNaturalNumber0(sz00) || -> .
% 17.34/17.53 5827[4:SSi:5826.1,5826.0,1.0,2.0] || -> .
% 17.34/17.53 5828[4:Spt:5827.0,4910.1,4994.0] || equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(sdtpldt0(sz10,sz00),xp))** -> .
% 17.34/17.53 5829[4:Spt:5827.0,4910.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))* -> .
% 17.34/17.53 5837[4:SpL:19.1,5829.0] aNaturalNumber0(xn) || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 5855[4:SSi:5837.0,3.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,sz00),xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6077[4:SpL:19.1,5855.0] aNaturalNumber0(sz10) || sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6090[4:SSi:6077.0,2.0] || sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6123[4:Res:65.5,6090.0] aNaturalNumber0(xn) aNaturalNumber0(xp) aNaturalNumber0(sz10) || sdtlseqdt0(sz10,xn)* -> equal(xn,sz10).
% 17.34/17.53 6125[4:SSi:6123.2,6123.1,6123.0,2.0,5.0,6.0,3.0] || sdtlseqdt0(sz10,xn)* -> equal(xn,sz10).
% 17.34/17.53 6126[4:MRR:6125.0,6125.1,1088.0,4820.0] || -> .
% 17.34/17.53 6129[3:Spt:6126.0,4817.0,4818.0] || equal(xr,sz10)** -> .
% 17.34/17.53 6130[3:Spt:6126.0,4817.1] || -> sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 6132[0:AED:11.0,4188.1] aNaturalNumber0(u) || equal(xn,u) -> sdtlseqdt0(xp,u)*.
% 17.34/17.53 6202[4:Spt:3954.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))* -> .
% 17.34/17.53 6205[4:SpL:19.1,6202.0] aNaturalNumber0(xn) || sdtlseqdt0(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6225[4:SSi:6205.0,3.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6402[4:SpL:19.1,6225.0] aNaturalNumber0(xr) || sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6457[0:Res:6132.2,278.1] aNaturalNumber0(sz10) aNaturalNumber0(xp) || equal(xn,sz10) -> equal(xp,sz00) equal(xp,sz10)**.
% 17.34/17.53 6463[0:SSi:6457.1,6457.0,5.0,6.0,2.0] || equal(xn,sz10) -> equal(xp,sz00) equal(xp,sz10)**.
% 17.34/17.53 6464[0:MRR:6463.1,6463.2,97.0,96.0] || equal(xn,sz10)** -> .
% 17.34/17.53 6629[0:SpR:16.0,510.3] aNaturalNumber0(xn) aNaturalNumber0(xp) || sdtlseqdt0(xp,xn)* -> aNaturalNumber0(xr).
% 17.34/17.53 6630[0:SSi:6629.1,6629.0,5.0,6.0,3.0] || sdtlseqdt0(xp,xn)* -> aNaturalNumber0(xr).
% 17.34/17.53 6631[0:MRR:6630.0,9.0] || -> aNaturalNumber0(xr)*.
% 17.34/17.53 6635[4:MRR:6402.0,6631.0] || sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(xn,xp))* -> .
% 17.34/17.53 6666[4:Res:65.5,6635.0] aNaturalNumber0(xn) aNaturalNumber0(xp) aNaturalNumber0(xr) || sdtlseqdt0(xr,xn)* -> equal(xr,xn).
% 17.34/17.53 6668[4:SSi:6666.2,6666.1,6666.0,6631.0,5.0,6.0,3.0] || sdtlseqdt0(xr,xn)* -> equal(xr,xn).
% 17.34/17.53 6669[4:MRR:6668.0,6668.1,10.0,14.0] || -> .
% 17.34/17.53 6673[4:Spt:6669.0,3954.0,6202.0] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))*.
% 17.34/17.53 6674[4:Spt:6669.0,3954.1] || -> equal(sdtpldt0(sdtpldt0(xr,sz00),xp),sdtpldt0(sdtpldt0(xn,sz00),xp))**.
% 17.34/17.53 6685[4:SpR:6674.0,32.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xr,sz00)) || -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(xp,sdtpldt0(xr,sz00)))**.
% 17.34/17.53 6703[4:SpR:19.1,6674.0] aNaturalNumber0(xr) || -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(xr,xp))**.
% 17.34/17.53 6715[4:SSi:6703.0,6631.0] || -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(xr,xp))**.
% 17.34/17.53 6749[4:Rew:6715.0,6685.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xr,sz00)) || -> equal(sdtpldt0(xr,xp),sdtpldt0(xp,sdtpldt0(xr,sz00)))**.
% 17.34/17.53 6750[4:SSi:6749.1,6749.0,25.0,6631.0,1.0,5.0,6.2] || -> equal(sdtpldt0(xr,xp),sdtpldt0(xp,sdtpldt0(xr,sz00)))**.
% 17.34/17.53 6751[4:Rew:6750.0,6715.0] || -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),sdtpldt0(xp,sdtpldt0(xr,sz00)))**.
% 17.34/17.53 6994[4:SpR:6750.0,4185.1] || equal(xr,xr) -> equal(sdtpldt0(xp,sdtpldt0(xr,sz00)),xn)**.
% 17.34/17.53 7006[4:Obv:6994.0] || -> equal(sdtpldt0(xp,sdtpldt0(xr,sz00)),xn)**.
% 17.34/17.53 7017[4:Rew:7006.0,6751.0] || -> equal(sdtpldt0(sdtpldt0(xn,sz00),xp),xn)**.
% 17.34/17.53 7338[4:SpR:19.1,7017.0] aNaturalNumber0(xn) || -> equal(sdtpldt0(xn,xp),xn)**.
% 17.34/17.53 7350[4:SSi:7338.0,3.0] || -> equal(sdtpldt0(xn,xp),xn)**.
% 17.34/17.53 7386[4:SpR:7350.0,835.2] aNaturalNumber0(xn) aNaturalNumber0(xp) || -> equal(sdtmndt0(xn,xn),xp)**.
% 17.34/17.53 7404[4:Rew:1766.1,7386.2] aNaturalNumber0(xn) aNaturalNumber0(xp) || -> equal(xp,sz00)**.
% 17.34/17.53 7405[4:SSi:7404.1,7404.0,5.0,6.0,3.0] || -> equal(xp,sz00)**.
% 17.34/17.53 7406[4:MRR:7405.0,97.0] || -> .
% 17.34/17.53 7422[1:Spt:7406.0,537.1,619.0] || equal(sdtasdt0(xm,xr),sz00)** -> .
% 17.34/17.53 7423[1:Spt:7406.0,537.0] || -> sdtlseqdt0(xp,sdtasdt0(xm,xr))*.
% 17.34/17.53 7424[0:SSi:4163.0,5.0,6.0] || equal(xr,sz00)** -> equal(xp,xn).
% 17.34/17.53 7425[0:SSi:4809.0,6631.0] || -> equal(xr,sz10) equal(xr,sz00) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 7470[1:SpR:4457.1,7423.0] || equal(xp,xn) -> sdtlseqdt0(xp,sdtasdt0(xm,sz00))*.
% 17.34/17.53 7497[0:SpL:58.3,69.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xr) || sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp)) -> equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))**.
% 17.34/17.53 7504[0:Res:29.3,69.0] aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))* equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)).
% 17.34/17.53 7519[0:Rew:58.3,7497.4] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xr) || sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xr,sdtpldt0(xm,xp))).
% 17.34/17.53 7520[0:Rew:600.3,7519.4,608.3,7519.4,600.3,7519.4,600.3,7519.3,608.3,7519.3,600.3,7519.3] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xr) || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,sdtpldt0(xp,xr))).
% 17.34/17.53 7521[0:SSi:7520.2,7520.1,7520.0,6631.0,4.0,5.0,6.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,sdtpldt0(xp,xr))).
% 17.34/17.53 7526[0:SSi:7504.1,7504.0,25.0,25.0,3.0,4.0,5.2,6.2,25.0,25.0,6631.0,4.0,5.2,6.2] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))* equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)).
% 17.34/17.53 7540[1:SpR:23.1,7470.1] aNaturalNumber0(xm) || equal(xp,xn) -> sdtlseqdt0(xp,sz00)*.
% 17.34/17.53 7545[1:SSi:7540.0,4.0] || equal(xp,xn) -> sdtlseqdt0(xp,sz00)*.
% 17.34/17.53 7555[1:Res:7545.1,415.1] aNaturalNumber0(xp) || equal(xp,xn)** -> equal(xp,sz00).
% 17.34/17.53 7557[1:SSi:7555.0,5.0,6.0] || equal(xp,xn)** -> equal(xp,sz00).
% 17.34/17.53 7558[1:MRR:7557.1,97.0] || equal(xp,xn)** -> .
% 17.34/17.53 7560[1:MRR:7424.1,7558.0] || equal(xr,sz00)** -> .
% 17.34/17.53 7561[1:MRR:7425.1,7560.0] || -> equal(xr,sz10) sdtlseqdt0(skf7(xr),xn)*.
% 17.34/17.53 7620[2:Spt:7561.0] || -> equal(xr,sz10)**.
% 17.34/17.53 7624[2:Rew:7620.0,16.0] || -> equal(sdtmndt0(xn,xp),sz10)**.
% 17.34/17.53 7641[2:Rew:7620.0,69.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) -> equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))**.
% 17.34/17.53 7706[2:Rew:7620.0,7526.1] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))* equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp)).
% 17.34/17.53 7716[2:Rew:7620.0,7521.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,sdtpldt0(xp,xr))).
% 17.34/17.53 7727[2:Rew:7620.0,7706.0] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp))* equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp)).
% 17.34/17.53 7728[2:Rew:7620.0,7641.1] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp)).
% 17.34/17.53 7733[2:Rew:7620.0,7716.1] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,sdtpldt0(xp,sz10))).
% 17.34/17.53 7827[3:Spt:7728.1] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp))**.
% 17.34/17.53 7843[3:Rew:7827.0,7733.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sdtpldt0(sz10,xm),xp)) -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,sdtpldt0(xp,sz10)))**.
% 17.34/17.53 7849[3:Rew:7827.0,7843.1] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sdtpldt0(sz10,xm),xp))* -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xm,sdtpldt0(xp,sz10))).
% 17.34/17.53 7852[3:SpR:7827.0,32.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xn,xm)) || -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 17.34/17.53 7880[3:SSi:7852.1,7852.0,25.0,3.0,4.0,5.0,6.2] || -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 17.34/17.53 7881[3:Rew:7880.0,7827.0] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 17.34/17.53 7886[3:Rew:7880.0,7849.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xp,sdtpldt0(xn,xm))) -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xm,sdtpldt0(xp,sz10)))**.
% 17.34/17.53 7915[3:Rew:7880.0,7886.1] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xp,sdtpldt0(xn,xm)))* -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xm,sdtpldt0(xp,sz10))).
% 17.34/17.53 10788[3:SpR:7880.0,32.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(sz10,xm)) || -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(sz10,xm)))**.
% 17.34/17.53 10795[3:SSi:10788.1,10788.0,25.0,2.0,4.0,5.0,6.2] || -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xp,sdtpldt0(sz10,xm)))**.
% 17.34/17.53 10800[3:Rew:10795.0,7881.0] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xp,sdtpldt0(sz10,xm)))**.
% 17.34/17.53 10801[3:Rew:10795.0,7880.0] || -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xp,sdtpldt0(sz10,xm)))**.
% 17.34/17.53 10805[3:Rew:10795.0,7915.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xp,sdtpldt0(sz10,xm))) -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xm,sdtpldt0(xp,sz10)))**.
% 17.34/17.53 10839[3:Rew:10795.0,10805.1] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xp,sdtpldt0(sz10,xm)))* -> equal(sdtpldt0(xp,sdtpldt0(sz10,xm)),sdtpldt0(xm,sdtpldt0(xp,sz10))).
% 17.34/17.53 11908[3:SpR:58.3,10800.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xn) || -> equal(sdtpldt0(xp,sdtpldt0(sz10,xm)),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 17.34/17.53 11929[3:SSi:11908.2,11908.1,11908.0,3.0,4.0,5.0,6.0] || -> equal(sdtpldt0(xp,sdtpldt0(sz10,xm)),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 17.34/17.53 11934[3:Rew:11929.0,10795.0] || -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 17.34/17.53 11936[3:Rew:11929.0,10801.0] || -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 17.34/17.53 11952[3:Rew:11929.0,10839.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xn,sdtpldt0(xm,xp))) -> equal(sdtpldt0(xp,sdtpldt0(sz10,xm)),sdtpldt0(xm,sdtpldt0(xp,sz10)))**.
% 17.34/17.53 11995[3:Rew:11929.0,11952.1] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xn,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xn,sdtpldt0(xm,xp))).
% 17.34/17.53 12171[3:SpR:11936.0,58.3] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(sz10) || -> equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp)))**.
% 17.34/17.53 12185[3:SSi:12171.2,12171.1,12171.0,2.0,4.0,5.0,6.0] || -> equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp)))**.
% 17.34/17.53 12190[3:Rew:12185.0,11929.0] || -> equal(sdtpldt0(xp,sdtpldt0(sz10,xm)),sdtpldt0(sz10,sdtpldt0(xm,xp)))**.
% 17.34/17.53 12191[3:Rew:12185.0,11934.0] || -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(sz10,sdtpldt0(xm,xp)))**.
% 17.34/17.53 12193[3:Rew:12185.0,11936.0] || -> equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(sz10,sdtpldt0(xm,xp)))**.
% 17.34/17.53 12219[3:Rew:12185.0,11995.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sz10,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(xn,sdtpldt0(xm,xp))).
% 17.34/17.53 12243[3:Rew:12185.0,12219.1] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sz10,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sz10,sdtpldt0(xm,xp))).
% 17.34/17.53 13357[3:SpR:12190.0,406.2] aNaturalNumber0(sdtpldt0(sz10,xm)) aNaturalNumber0(xp) || -> sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(xm,xp)))*.
% 17.34/17.53 13374[3:SSi:13357.1,13357.0,5.0,6.0,25.2,2.0,4.0] || -> sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(xm,xp)))*.
% 17.34/17.53 13752[3:SpR:12190.0,835.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(sz10,xm)) || -> equal(sdtmndt0(sdtpldt0(sz10,sdtpldt0(xm,xp)),xp),sdtpldt0(sz10,xm))**.
% 17.34/17.53 13753[3:SpR:12191.0,835.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xn,xm)) || -> equal(sdtmndt0(sdtpldt0(sz10,sdtpldt0(xm,xp)),xp),sdtpldt0(xn,xm))**.
% 17.34/17.53 13769[3:SSi:13752.1,13752.0,25.0,2.0,4.0,5.0,6.2] || -> equal(sdtmndt0(sdtpldt0(sz10,sdtpldt0(xm,xp)),xp),sdtpldt0(sz10,xm))**.
% 17.34/17.53 13770[3:Rew:13769.0,13753.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xn,xm)) || -> equal(sdtpldt0(xn,xm),sdtpldt0(sz10,xm))**.
% 17.34/17.53 13771[3:SSi:13770.1,13770.0,25.0,3.0,4.0,5.0,6.2] || -> equal(sdtpldt0(xn,xm),sdtpldt0(sz10,xm))**.
% 17.34/17.53 14837[3:SpL:12193.0,878.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(sz10,xm)) || equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(sz10,xm))** -> equal(xp,sz00).
% 17.34/17.53 14841[3:SSi:14837.1,14837.0,25.0,2.0,4.0,5.0,6.2] || equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(sz10,xm))** -> equal(xp,sz00).
% 17.34/17.53 14842[3:MRR:14841.1,97.0] || equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(sz10,xm))** -> .
% 17.34/17.53 17719[2:SpR:7624.0,1147.3] aNaturalNumber0(xn) aNaturalNumber0(xp) || sdtlseqdt0(xp,xn) -> equal(sdtpldt0(xp,sz10),xn)**.
% 17.34/17.53 17738[2:SSi:17719.1,17719.0,5.0,6.0,3.0] || sdtlseqdt0(xp,xn) -> equal(sdtpldt0(xp,sz10),xn)**.
% 17.34/17.53 17739[2:MRR:17738.0,9.0] || -> equal(sdtpldt0(xp,sz10),xn)**.
% 17.34/17.53 17740[3:Rew:17739.0,12243.0] || sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sz10,sdtpldt0(xm,xp))) -> equal(sdtpldt0(xm,sdtpldt0(xp,sz10)),sdtpldt0(sz10,sdtpldt0(xm,xp)))**.
% 17.34/17.53 17749[3:Rew:17739.0,17740.1] || sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sz10,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(xm,xn)).
% 17.34/17.53 18400[3:SpL:32.2,17749.0] aNaturalNumber0(xn) aNaturalNumber0(xm) || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz10,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(xm,xn)).
% 17.34/17.53 18410[3:Rew:13771.0,18400.3,32.2,18400.3,13771.0,18400.2] aNaturalNumber0(xn) aNaturalNumber0(xm) || sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(sz10,xm)).
% 17.34/17.53 18411[3:SSi:18410.1,18410.0,4.0,3.0] || sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(sz10,xm)).
% 17.34/17.53 18412[3:MRR:18411.0,18411.1,13374.0,14842.0] || -> .
% 17.34/17.53 18416[3:Spt:18412.0,7728.1,7827.0] || equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp))** -> .
% 17.34/17.53 18417[3:Spt:18412.0,7728.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 17.34/17.53 18474[3:MRR:7727.1,18416.0] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sz10,xm),xp))*.
% 17.34/17.53 18532[3:SpL:58.3,18416.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xn) || equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))** -> .
% 17.34/17.53 18536[3:SSi:18532.2,18532.1,18532.0,3.0,4.0,5.0,6.0] || equal(sdtpldt0(sdtpldt0(sz10,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))** -> .
% 17.34/17.53 19221[3:SpR:58.3,18474.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xn) || -> sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(sz10,xm),xp))*.
% 17.34/17.53 19231[3:SSi:19221.2,19221.1,19221.0,3.0,4.0,5.0,6.0] || -> sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(sz10,xm),xp))*.
% 17.34/17.53 19674[3:SpL:58.3,18536.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(sz10) || equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp)))** -> .
% 17.34/17.53 19678[3:SSi:19674.2,19674.1,19674.0,2.0,4.0,5.0,6.0] || equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp)))** -> .
% 17.34/17.53 24146[3:SpR:58.3,19231.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(sz10) || -> sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp)))*.
% 17.34/17.53 24171[3:SSi:24146.2,24146.1,24146.0,2.0,4.0,5.0,6.0] || -> sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp)))*.
% 17.34/17.53 24194[3:Res:24171.0,46.2] aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(xm,xp))) aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) || sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp))).
% 17.34/17.53 24196[3:SSi:24194.1,24194.0,25.0,3.0,25.0,4.2,5.0,6.2,25.0,2.0,25.0,4.2,5.0,6.2] || sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))* -> equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sz10,sdtpldt0(xm,xp))).
% 17.34/17.53 24197[3:MRR:24196.1,19678.0] || sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))* -> .
% 17.34/17.53 25225[3:Res:65.5,24197.0] aNaturalNumber0(xn) aNaturalNumber0(sdtpldt0(xm,xp)) aNaturalNumber0(sz10) || sdtlseqdt0(sz10,xn)* -> equal(xn,sz10).
% 17.34/17.53 25227[3:SSi:25225.2,25225.1,25225.0,2.0,25.0,4.0,5.0,6.2,3.0] || sdtlseqdt0(sz10,xn)* -> equal(xn,sz10).
% 17.34/17.53 25228[3:MRR:25227.0,25227.1,1088.0,6464.0] || -> .
% 24.56/24.77 25247[2:Spt:25228.0,7561.0,7620.0] || equal(xr,sz10)** -> .
% 24.56/24.77 25248[2:Spt:25228.0,7561.1] || -> sdtlseqdt0(skf7(xr),xn)*.
% 24.56/24.77 25358[3:Spt:69.0] || sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 25365[3:SpL:58.3,25358.0] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xr) || sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 25385[3:Rew:600.3,25365.3,608.3,25365.3,600.3,25365.3] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xr) || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 25386[3:SSi:25385.2,25385.1,25385.0,6631.0,4.0,5.0,6.0] || sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xp,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 30878[3:SpL:4018.1,25386.0] || equal(xr,xr) sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 30884[3:Obv:30878.0] || sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 30891[3:SpL:32.2,30884.0] aNaturalNumber0(xn) aNaturalNumber0(xm) || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 30899[3:SSi:30891.1,30891.0,4.0,3.0] || sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp))* -> .
% 24.56/24.77 30966[3:Res:376.2,30899.0] aNaturalNumber0(sdtpldt0(xn,xm)) aNaturalNumber0(xp) || -> .
% 24.56/24.77 30967[3:SSi:30966.1,30966.0,5.0,6.0,25.2,3.0,4.0] || -> .
% 24.56/24.77 30970[3:Spt:30967.0,69.0,25358.0] || -> sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))*.
% 24.56/24.77 30971[3:Spt:30967.0,69.1] || -> equal(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))**.
% 24.56/24.77 30977[3:SpR:30971.0,32.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xr,xm)) || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xp,sdtpldt0(xr,xm)))**.
% 24.56/24.77 30988[3:SpR:32.2,30971.0] aNaturalNumber0(xm) aNaturalNumber0(xr) || -> equal(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))**.
% 24.56/24.77 31001[3:SSi:30988.1,30988.0,6631.0,4.0] || -> equal(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))**.
% 24.56/24.77 31002[3:SSi:30977.1,30977.0,25.0,6631.0,4.0,5.0,6.2] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xp,sdtpldt0(xr,xm)))**.
% 24.56/24.77 31028[3:Rew:31002.0,31001.0] || -> equal(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(xp,sdtpldt0(xr,xm)))**.
% 24.56/24.77 35510[3:SpR:31002.0,32.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xn,xm)) || -> equal(sdtpldt0(xp,sdtpldt0(xr,xm)),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 24.56/24.77 35516[3:SSi:35510.1,35510.0,25.0,3.0,4.0,5.0,6.2] || -> equal(sdtpldt0(xp,sdtpldt0(xr,xm)),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 24.56/24.77 35521[3:Rew:35516.0,31002.0] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 24.56/24.77 35522[3:Rew:35516.0,31028.0] || -> equal(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 24.56/24.77 36053[3:SpR:58.3,35522.0] aNaturalNumber0(xp) aNaturalNumber0(xr) aNaturalNumber0(xm) || -> equal(sdtpldt0(xm,sdtpldt0(xr,xp)),sdtpldt0(xp,sdtpldt0(xn,xm)))**.
% 24.56/24.77 36074[3:Rew:32.2,36053.3] aNaturalNumber0(xp) aNaturalNumber0(xr) aNaturalNumber0(xm) || -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xm,sdtpldt0(xp,xr)))**.
% 24.56/24.77 36075[3:SSi:36074.2,36074.1,36074.0,4.0,6631.0,5.0,6.0] || -> equal(sdtpldt0(xp,sdtpldt0(xn,xm)),sdtpldt0(xm,sdtpldt0(xp,xr)))**.
% 24.56/24.77 36083[3:Rew:36075.0,35521.0] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,sdtpldt0(xp,xr)))**.
% 24.56/24.77 36336[3:SpR:36083.0,58.3] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(xn) || -> equal(sdtpldt0(xm,sdtpldt0(xp,xr)),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 24.56/24.77 36348[3:SSi:36336.2,36336.1,36336.0,3.0,4.0,5.0,6.0] || -> equal(sdtpldt0(xm,sdtpldt0(xp,xr)),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 24.56/24.77 36357[3:Rew:36348.0,36083.0] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))**.
% 24.56/24.77 36521[3:SpR:4018.1,36348.0] || equal(xr,xr) -> equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xm,xn))**.
% 24.56/24.77 36530[3:Obv:36521.0] || -> equal(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xm,xn))**.
% 24.56/24.77 36541[3:Rew:36530.0,36357.0] || -> equal(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xm,xn))**.
% 24.56/24.77 39657[3:SpL:36541.0,878.2] aNaturalNumber0(xp) aNaturalNumber0(sdtpldt0(xn,xm)) || equal(sdtpldt0(xm,xn),sdtpldt0(xn,xm))** -> equal(xp,sz00).
% 24.56/24.77 39661[3:SSi:39657.1,39657.0,25.0,3.0,4.0,5.0,6.2] || equal(sdtpldt0(xm,xn),sdtpldt0(xn,xm))** -> equal(xp,sz00).
% 24.56/24.77 39662[3:MRR:39661.1,97.0] || equal(sdtpldt0(xm,xn),sdtpldt0(xn,xm))** -> .
% 24.56/24.77 39668[3:SpL:32.2,39662.0] aNaturalNumber0(xm) aNaturalNumber0(xn) || equal(sdtpldt0(xn,xm),sdtpldt0(xn,xm))* -> .
% 24.56/24.77 39671[3:Obv:39668.2] aNaturalNumber0(xm) aNaturalNumber0(xn) || -> .
% 24.56/24.77 39672[3:SSi:39671.1,39671.0,3.0,4.0] || -> .
% 24.56/24.77 % SZS output end Refutation
% 24.56/24.77 Formulae used in the proof : mSortsC mSortsC_01 m__1837 m__1860 mPrimDiv m__1870 m__1894 mDefLE m__1883 m__1913 m_AddZero m_MulUnit m_MulZero mSortsB mSortsB_02 mDefPrime mLETotal mAddComm mMulComm mMonMul2 mZeroAdd mDivLE mLEAsym mZeroMul mDefDiff mDefDiv mLETran mAddCanc mAddAsso mMonAdd m__ mDefQuot
% 24.56/24.77
%------------------------------------------------------------------------------