TSTP Solution File: NUM510+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM510+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 14:26:57 EDT 2022
% Result : Theorem 141.33s 141.50s
% Output : Refutation 160.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM510+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jul 5 21:32:52 EDT 2022
% 0.11/0.32 % CPUTime :
% 141.33/141.50
% 141.33/141.50 SPASS V 3.9
% 141.33/141.50 SPASS beiseite: Proof found.
% 141.33/141.50 % SZS status Theorem
% 141.33/141.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.33/141.50 SPASS derived 28422 clauses, backtracked 3821 clauses, performed 18 splits and kept 12739 clauses.
% 141.33/141.50 SPASS allocated 149093 KBytes.
% 141.33/141.50 SPASS spent 0:2:21.13 on the problem.
% 141.33/141.50 0:00:00.04 for the input.
% 141.33/141.50 0:00:00.04 for the FLOTTER CNF translation.
% 141.33/141.50 0:00:00.35 for inferences.
% 141.33/141.50 0:00:01.93 for the backtracking.
% 141.33/141.50 0:2:18.58 for the reduction.
% 141.33/141.50
% 141.33/141.50
% 141.33/141.50 Here is a proof with depth 7, length 270 :
% 141.33/141.50 % SZS output start Refutation
% 141.33/141.50 1[0:Inp] || -> aNaturalNumber0(sz00)*.
% 141.33/141.50 2[0:Inp] || -> aNaturalNumber0(sz10)*.
% 141.33/141.50 3[0:Inp] || -> aNaturalNumber0(xn)*.
% 141.33/141.50 4[0:Inp] || -> aNaturalNumber0(xm)*.
% 141.33/141.50 5[0:Inp] || -> aNaturalNumber0(xp)*.
% 141.33/141.50 6[0:Inp] || -> isPrime0(xp)*.
% 141.33/141.50 7[0:Inp] || -> aNaturalNumber0(xr)*.
% 141.33/141.50 8[0:Inp] || -> isPrime0(xr)*.
% 141.33/141.50 9[0:Inp] || -> aNaturalNumber0(skf6(u))*.
% 141.33/141.50 10[0:Inp] || -> aNaturalNumber0(skf7(u))*.
% 141.33/141.50 13[0:Inp] || -> doDivides0(xr,xk)*.
% 141.33/141.50 15[0:Inp] || -> sdtlseqdt0(xk,xp)*.
% 141.33/141.50 16[0:Inp] || -> doDivides0(xr,xn)*.
% 141.33/141.50 17[0:Inp] || equal(sz10,sz00)** -> .
% 141.33/141.50 18[0:Inp] || -> aNaturalNumber0(skf4(u,v))*.
% 141.33/141.50 19[0:Inp] || -> aNaturalNumber0(skf5(u,v))*.
% 141.33/141.50 20[0:Inp] || sdtlseqdt0(xp,xn)* -> .
% 141.33/141.50 26[0:Inp] || equal(xk,sz00)** -> .
% 141.33/141.50 27[0:Inp] || equal(xk,sz10)** -> .
% 141.33/141.50 29[0:Inp] || -> doDivides0(xp,sdtasdt0(xn,xm))*.
% 141.33/141.50 31[0:Inp] aNaturalNumber0(u) || -> sdtlseqdt0(u,u)*.
% 141.33/141.50 33[0:Inp] || -> equal(sdtsldt0(sdtasdt0(xn,xm),xp),xk)**.
% 141.33/141.50 34[0:Inp] aNaturalNumber0(u) || -> equal(sdtpldt0(u,sz00),u)**.
% 141.33/141.50 36[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 141.33/141.50 37[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(sz10,u),u)**.
% 141.33/141.50 38[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(u,sz00),sz00)**.
% 141.33/141.50 39[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(sz00,u),sz00)**.
% 141.33/141.50 40[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> aNaturalNumber0(sdtpldt0(v,u))*.
% 141.33/141.50 41[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> aNaturalNumber0(sdtasdt0(v,u))*.
% 141.33/141.50 42[0:Inp] aNaturalNumber0(u) isPrime0(u) || equal(u,sz00)* -> .
% 141.33/141.50 43[0:Inp] aNaturalNumber0(u) isPrime0(u) || equal(u,sz10)* -> .
% 141.33/141.50 44[0:Inp] || sdtlseqdt0(sdtsldt0(xn,xr),xn)* -> equal(sdtsldt0(xn,xr),xn).
% 141.33/141.50 45[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(v,u)* sdtlseqdt0(u,v)*.
% 141.33/141.50 49[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtasdt0(v,u),sdtasdt0(u,v))*.
% 141.33/141.50 50[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,v) -> sdtlseqdt0(v,u)*.
% 141.33/141.50 53[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(v,sz00) sdtlseqdt0(u,sdtasdt0(u,v))*.
% 141.33/141.50 56[0:Inp] aNaturalNumber0(u) || -> isPrime0(u) equal(u,sz10) equal(u,sz00) doDivides0(skf6(u),u)*.
% 141.33/141.50 58[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u)* -> sdtlseqdt0(v,u) equal(u,sz00).
% 141.33/141.50 62[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u)*+ sdtlseqdt0(u,v)* -> equal(v,u).
% 141.33/141.50 63[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) -> equal(sdtasdt0(v,skf5(v,u)),u)**.
% 141.33/141.50 64[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtasdt0(v,u),sz00)** -> equal(u,sz00) equal(v,sz00).
% 141.33/141.50 65[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(sdtpldt0(v,w),u)*+ -> sdtlseqdt0(v,u)*.
% 141.33/141.50 66[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u) equal(w,sdtmndt0(u,v))*+ -> aNaturalNumber0(w)*.
% 141.33/141.50 67[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(u,sdtasdt0(v,w))*+ -> doDivides0(v,u)*.
% 141.33/141.50 68[0:Inp] aNaturalNumber0(u) isPrime0(u) aNaturalNumber0(v) || doDivides0(v,u)* -> equal(v,u) equal(v,sz10).
% 141.33/141.50 70[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(v,u)*+ sdtlseqdt0(w,v)* -> sdtlseqdt0(w,u)*.
% 141.33/141.50 75[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) equal(w,sdtsldt0(u,v))*+ -> aNaturalNumber0(w)* equal(v,sz00).
% 141.33/141.50 84[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(sdtasdt0(w,v),sdtasdt0(w,u))* -> equal(v,u) equal(w,sz00).
% 141.33/141.50 85[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) equal(w,sdtsldt0(u,v))*+ -> equal(v,sz00) equal(u,sdtasdt0(v,w))*.
% 141.33/141.50 88[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(v,w) equal(sdtpldt0(v,u),w)* -> equal(u,sdtmndt0(w,v))*.
% 141.33/141.50 90[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(v,u) -> equal(v,u) equal(w,sz00) sdtlseqdt0(sdtasdt0(w,v),sdtasdt0(w,u))*.
% 141.33/141.50 91[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(w,u) -> equal(w,sz00) equal(sdtasdt0(v,sdtsldt0(u,w)),sdtsldt0(sdtasdt0(v,u),w))**.
% 141.33/141.50 92[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(v,w) equal(w,sdtasdt0(v,u))* -> equal(u,sdtsldt0(w,v))* equal(v,sz00).
% 141.33/141.50 96[0:MRR:88.3,65.4] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(sdtpldt0(v,w),u)*+ -> equal(w,sdtmndt0(u,v))*.
% 141.33/141.50 97[0:MRR:92.3,67.4] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(u,sdtasdt0(v,w))*+ -> equal(v,sz00) equal(w,sdtsldt0(u,v))*.
% 141.33/141.50 112[0:EmS:43.0,43.1,7.0,8.0] || equal(xr,sz10)** -> .
% 141.33/141.50 113[0:EmS:42.0,42.1,5.0,6.0] || equal(xp,sz00)** -> .
% 141.33/141.50 114[0:EmS:42.0,42.1,7.0,8.0] || equal(xr,sz00)** -> .
% 141.33/141.50 126[0:Res:45.2,44.0] aNaturalNumber0(xn) aNaturalNumber0(sdtsldt0(xn,xr)) || -> sdtlseqdt0(xn,sdtsldt0(xn,xr))* equal(sdtsldt0(xn,xr),xn).
% 141.33/141.50 131[0:SSi:126.0,3.0] aNaturalNumber0(sdtsldt0(xn,xr)) || -> sdtlseqdt0(xn,sdtsldt0(xn,xr))* equal(sdtsldt0(xn,xr),xn).
% 141.33/141.50 222[0:Res:16.0,58.2] aNaturalNumber0(xn) aNaturalNumber0(xr) || -> sdtlseqdt0(xr,xn)* equal(xn,sz00).
% 141.33/141.50 225[0:Res:29.0,58.2] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 141.33/141.50 227[0:Res:56.4,58.2] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(skf6(u)) || -> isPrime0(u) equal(u,sz10) equal(u,sz00) sdtlseqdt0(skf6(u),u)* equal(u,sz00).
% 141.33/141.50 228[0:SSi:222.1,222.0,8.0,7.0,3.0] || -> sdtlseqdt0(xr,xn)* equal(xn,sz00).
% 141.33/141.50 230[0:SSi:225.1,225.0,6.0,5.0,41.2,3.0,4.0] || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 141.33/141.50 233[0:Obv:227.5] aNaturalNumber0(u) aNaturalNumber0(skf6(u)) || -> isPrime0(u) equal(u,sz10) sdtlseqdt0(skf6(u),u)* equal(u,sz00).
% 141.33/141.50 234[0:SSi:233.1,9.0] aNaturalNumber0(u) || -> isPrime0(u) equal(u,sz10) sdtlseqdt0(skf6(u),u)* equal(u,sz00).
% 141.33/141.50 235[1:Spt:228.1] || -> equal(xn,sz00)**.
% 141.33/141.50 240[1:Rew:235.0,20.0] || sdtlseqdt0(xp,sz00)* -> .
% 141.33/141.50 242[1:Rew:235.0,29.0] || -> doDivides0(xp,sdtasdt0(sz00,xm))*.
% 141.33/141.50 243[1:Rew:235.0,33.0] || -> equal(sdtsldt0(sdtasdt0(sz00,xm),xp),xk)**.
% 141.33/141.50 260[1:SpR:39.1,242.0] aNaturalNumber0(xm) || -> doDivides0(xp,sz00)*.
% 141.33/141.50 262[1:SSi:260.0,4.0] || -> doDivides0(xp,sz00)*.
% 141.33/141.50 265[1:SpR:39.1,243.0] aNaturalNumber0(xm) || -> equal(sdtsldt0(sz00,xp),xk)**.
% 141.33/141.50 266[1:SSi:265.0,4.0] || -> equal(sdtsldt0(sz00,xp),xk)**.
% 141.33/141.50 357[0:Res:53.3,62.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sdtasdt0(u,v)) aNaturalNumber0(u) || sdtlseqdt0(sdtasdt0(u,v),u)* -> equal(v,sz00) equal(sdtasdt0(u,v),u).
% 141.33/141.50 374[0:Obv:357.0] aNaturalNumber0(u) aNaturalNumber0(sdtasdt0(v,u)) aNaturalNumber0(v) || sdtlseqdt0(sdtasdt0(v,u),v)* -> equal(u,sz00) equal(sdtasdt0(v,u),v).
% 141.33/141.50 375[0:SSi:374.1,41.2] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(sdtasdt0(v,u),v)* -> equal(u,sz00) equal(sdtasdt0(v,u),v).
% 141.33/141.50 404[0:SpL:63.3,64.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(skf5(v,u)) aNaturalNumber0(v) || doDivides0(v,u) equal(u,sz00) -> equal(skf5(v,u),sz00)** equal(v,sz00).
% 141.33/141.50 407[0:Obv:404.1] aNaturalNumber0(u) aNaturalNumber0(skf5(v,u)) aNaturalNumber0(v) || doDivides0(v,u) equal(u,sz00) -> equal(skf5(v,u),sz00)** equal(v,sz00).
% 141.33/141.50 408[0:SSi:407.1,19.0] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) equal(u,sz00) -> equal(skf5(v,u),sz00)** equal(v,sz00).
% 141.33/141.50 453[0:EqR:65.3] aNaturalNumber0(sdtpldt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(u,sdtpldt0(u,v))*.
% 141.33/141.50 459[0:SSi:453.0,40.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(u,sdtpldt0(u,v))*.
% 141.33/141.50 507[0:SpL:38.1,67.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(sz00) || equal(v,sz00) -> doDivides0(u,v)*.
% 141.33/141.50 518[0:Obv:507.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz00) || equal(u,sz00) -> doDivides0(v,u)*.
% 141.33/141.50 519[0:SSi:518.2,1.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,sz00) -> doDivides0(v,u)*.
% 141.33/141.50 520[0:MRR:408.2,519.3] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,sz00) -> equal(skf5(v,u),sz00)** equal(v,sz00).
% 141.33/141.50 609[0:Res:13.0,68.3] aNaturalNumber0(xk) isPrime0(xk) aNaturalNumber0(xr) || -> equal(xr,xk)** equal(xr,sz10).
% 141.33/141.50 620[0:SSi:609.2,8.0,7.0] aNaturalNumber0(xk) isPrime0(xk) || -> equal(xr,xk)** equal(xr,sz10).
% 141.33/141.50 621[0:MRR:620.3,112.0] aNaturalNumber0(xk) isPrime0(xk) || -> equal(xr,xk)**.
% 141.33/141.50 843[0:EqR:96.3] aNaturalNumber0(sdtpldt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtmndt0(sdtpldt0(u,v),u),v)**.
% 141.33/141.50 850[0:SSi:843.0,40.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtmndt0(sdtpldt0(u,v),u),v)**.
% 141.33/141.50 865[0:SpR:34.1,850.2] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(sz00) || -> equal(sdtmndt0(u,u),sz00)**.
% 141.33/141.50 868[0:SpL:850.2,66.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sdtpldt0(u,v)) aNaturalNumber0(u) || sdtlseqdt0(u,sdtpldt0(u,v))* equal(w,v)* -> aNaturalNumber0(w)*.
% 141.33/141.50 872[0:Obv:865.0] aNaturalNumber0(u) aNaturalNumber0(sz00) || -> equal(sdtmndt0(u,u),sz00)**.
% 141.33/141.50 873[0:SSi:872.1,1.0] aNaturalNumber0(u) || -> equal(sdtmndt0(u,u),sz00)**.
% 141.33/141.50 883[0:Obv:868.0] aNaturalNumber0(u) aNaturalNumber0(sdtpldt0(v,u)) aNaturalNumber0(v) || sdtlseqdt0(v,sdtpldt0(v,u))* equal(w,u)* -> aNaturalNumber0(w)*.
% 141.33/141.50 884[0:SSi:883.1,40.2] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,sdtpldt0(v,u))* equal(w,u)* -> aNaturalNumber0(w)*.
% 141.33/141.50 885[0:MRR:884.2,459.2] aNaturalNumber0(u) aNaturalNumber0(v) || equal(w,u)* -> aNaturalNumber0(w)*.
% 141.33/141.50 923[0:SpL:873.1,66.3] aNaturalNumber0(u) aNaturalNumber0(u) aNaturalNumber0(u) || sdtlseqdt0(u,u)* equal(v,sz00) -> aNaturalNumber0(v)*.
% 141.33/141.50 925[0:Obv:923.1] aNaturalNumber0(u) || sdtlseqdt0(u,u)* equal(v,sz00) -> aNaturalNumber0(v)*.
% 141.33/141.50 926[0:MRR:925.1,31.1] aNaturalNumber0(u) || equal(v,sz00) -> aNaturalNumber0(v)*.
% 141.33/141.50 931[0:MRR:520.0,926.2] aNaturalNumber0(u) || equal(v,sz00) -> equal(skf5(u,v),sz00)** equal(u,sz00).
% 141.33/141.50 1023[0:EmS:885.1,18.0] aNaturalNumber0(u) || equal(v,u)*+ -> aNaturalNumber0(v)*.
% 141.33/141.50 1035[0:MRR:50.1,1023.2] aNaturalNumber0(u) || equal(u,v) -> sdtlseqdt0(v,u)*.
% 141.33/141.50 1188[0:Res:15.0,70.3] aNaturalNumber0(xp) aNaturalNumber0(xk) aNaturalNumber0(u) || sdtlseqdt0(u,xk)* -> sdtlseqdt0(u,xp).
% 141.33/141.50 1205[0:SSi:1188.0,6.0,5.0] aNaturalNumber0(xk) aNaturalNumber0(u) || sdtlseqdt0(u,xk)* -> sdtlseqdt0(u,xp).
% 141.33/141.50 1245[0:SoR:1205.0,1023.2] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(u,xk)* equal(xk,v)* -> sdtlseqdt0(u,xp).
% 141.33/141.50 1256[0:EqR:75.3] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) -> aNaturalNumber0(sdtsldt0(u,v))* equal(v,sz00).
% 141.33/141.50 1257[1:SpL:266.0,75.3] aNaturalNumber0(sz00) aNaturalNumber0(xp) || doDivides0(xp,sz00)* equal(u,xk) -> aNaturalNumber0(u)* equal(xp,sz00).
% 141.33/141.50 1258[1:SSi:1257.1,1257.0,6.0,5.0,1.0] || doDivides0(xp,sz00)* equal(u,xk) -> aNaturalNumber0(u)* equal(xp,sz00).
% 141.33/141.50 1259[1:MRR:1258.0,1258.3,262.0,113.0] || equal(u,xk) -> aNaturalNumber0(u)*.
% 141.33/141.50 1615[0:EqR:97.3] aNaturalNumber0(sdtasdt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(u,sz00) equal(sdtsldt0(sdtasdt0(u,v),u),v)**.
% 141.33/141.50 1617[0:SpL:37.1,97.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz10) aNaturalNumber0(u) || equal(v,u) -> equal(sz10,sz00) equal(u,sdtsldt0(v,sz10))*.
% 141.33/141.50 1629[0:SSi:1615.0,41.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(u,sz00) equal(sdtsldt0(sdtasdt0(u,v),u),v)**.
% 141.33/141.50 1636[0:Obv:1617.0] aNaturalNumber0(u) aNaturalNumber0(sz10) aNaturalNumber0(v) || equal(u,v) -> equal(sz10,sz00) equal(v,sdtsldt0(u,sz10))*.
% 141.33/141.50 1637[0:SSi:1636.1,2.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,v) -> equal(sz10,sz00) equal(v,sdtsldt0(u,sz10))*.
% 141.33/141.50 1638[0:MRR:1637.0,1637.3,1023.2,17.0] aNaturalNumber0(u) || equal(v,u) -> equal(u,sdtsldt0(v,sz10))*.
% 141.33/141.50 1713[0:SpL:36.1,84.3] aNaturalNumber0(u) aNaturalNumber0(sz10) aNaturalNumber0(v) aNaturalNumber0(u) || equal(sdtasdt0(u,v),u)** -> equal(v,sz10) equal(u,sz00).
% 141.33/141.50 1721[0:Obv:1713.0] aNaturalNumber0(sz10) aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtasdt0(v,u),v)** -> equal(u,sz10) equal(v,sz00).
% 141.33/141.50 1722[0:SSi:1721.0,2.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtasdt0(v,u),v)** -> equal(u,sz10) equal(v,sz00).
% 141.33/141.50 2137[0:EqR:85.3] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) -> equal(v,sz00) equal(sdtasdt0(v,sdtsldt0(u,v)),u)**.
% 141.33/141.50 2138[1:SpL:266.0,85.3] aNaturalNumber0(sz00) aNaturalNumber0(xp) || doDivides0(xp,sz00) equal(u,xk) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sz00)**.
% 141.33/141.50 2139[1:SSi:2138.1,2138.0,6.0,5.0,1.0] || doDivides0(xp,sz00) equal(u,xk) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sz00)**.
% 141.33/141.50 2140[1:MRR:2139.0,2139.2,262.0,113.0] || equal(u,xk) -> equal(sdtasdt0(xp,u),sz00)**.
% 141.33/141.50 2220[0:SpR:63.3,90.6] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(skf5(v,u)) aNaturalNumber0(w) aNaturalNumber0(v) || doDivides0(v,u) sdtlseqdt0(w,skf5(v,u))* -> equal(w,skf5(v,u)) equal(v,sz00) sdtlseqdt0(sdtasdt0(v,w),u)*.
% 141.33/141.50 2253[0:Obv:2220.1] aNaturalNumber0(u) aNaturalNumber0(skf5(v,u)) aNaturalNumber0(w) aNaturalNumber0(v) || doDivides0(v,u) sdtlseqdt0(w,skf5(v,u))* -> equal(w,skf5(v,u)) equal(v,sz00) sdtlseqdt0(sdtasdt0(v,w),u)*.
% 141.33/141.50 2254[0:SSi:2253.1,19.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(w,u) sdtlseqdt0(v,skf5(w,u))* -> equal(v,skf5(w,u)) equal(w,sz00) sdtlseqdt0(sdtasdt0(w,v),u)*.
% 141.33/141.50 2285[1:SpR:2140.1,53.3] aNaturalNumber0(xp) aNaturalNumber0(u) || equal(u,xk)* -> equal(u,sz00) sdtlseqdt0(xp,sz00)*.
% 141.33/141.50 2305[1:SSi:2285.0,6.0,5.0] aNaturalNumber0(u) || equal(u,xk)* -> equal(u,sz00) sdtlseqdt0(xp,sz00)*.
% 141.33/141.50 2306[1:MRR:2305.0,2305.3,1259.1,240.0] || equal(u,xk)* -> equal(u,sz00).
% 141.33/141.50 2400[1:EqR:2306.0] || -> equal(xk,sz00)**.
% 141.33/141.50 2401[1:MRR:2400.0,26.0] || -> .
% 141.33/141.50 2402[1:Spt:2401.0,228.1,235.0] || equal(xn,sz00)** -> .
% 141.33/141.50 2403[1:Spt:2401.0,228.0] || -> sdtlseqdt0(xr,xn)*.
% 141.33/141.50 2404[0:MRR:131.2,1035.1] aNaturalNumber0(sdtsldt0(xn,xr)) || -> sdtlseqdt0(xn,sdtsldt0(xn,xr))*.
% 141.33/141.50 2450[0:SpL:33.0,85.3] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || doDivides0(xp,sdtasdt0(xn,xm)) equal(u,xk) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 141.33/141.50 2451[0:SpL:33.0,75.3] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || doDivides0(xp,sdtasdt0(xn,xm))* equal(u,xk) -> aNaturalNumber0(u)* equal(xp,sz00).
% 141.33/141.50 2452[0:SSi:2451.1,2451.0,6.0,5.0,41.2,3.0,4.0] || doDivides0(xp,sdtasdt0(xn,xm))* equal(u,xk) -> aNaturalNumber0(u)* equal(xp,sz00).
% 141.33/141.50 2453[0:MRR:2452.0,2452.3,29.0,113.0] || equal(u,xk) -> aNaturalNumber0(u)*.
% 141.33/141.50 2456[0:MRR:1245.1,2453.1] aNaturalNumber0(u) || sdtlseqdt0(u,xk)* equal(xk,v)* -> sdtlseqdt0(u,xp).
% 141.33/141.50 2460[0:AED:17.0,2456.2] aNaturalNumber0(u) || sdtlseqdt0(u,xk)* -> sdtlseqdt0(u,xp).
% 141.33/141.50 2462[0:SSi:2450.1,2450.0,6.0,5.0,41.2,3.0,4.0] || doDivides0(xp,sdtasdt0(xn,xm)) equal(u,xk) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 141.33/141.50 2463[0:MRR:2462.0,2462.2,29.0,113.0] || equal(u,xk) -> equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 141.33/141.50 2497[0:SpR:33.0,91.5] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(u) aNaturalNumber0(xp) || doDivides0(xp,sdtasdt0(xn,xm)) -> equal(xp,sz00) equal(sdtsldt0(sdtasdt0(u,sdtasdt0(xn,xm)),xp),sdtasdt0(u,xk))**.
% 141.33/141.50 2511[0:SSi:2497.2,2497.0,6.0,5.0,41.2,3.0,4.0] aNaturalNumber0(u) || doDivides0(xp,sdtasdt0(xn,xm)) -> equal(xp,sz00) equal(sdtsldt0(sdtasdt0(u,sdtasdt0(xn,xm)),xp),sdtasdt0(u,xk))**.
% 141.33/141.50 2512[0:MRR:2511.1,2511.2,29.0,113.0] aNaturalNumber0(u) || -> equal(sdtsldt0(sdtasdt0(u,sdtasdt0(xn,xm)),xp),sdtasdt0(u,xk))**.
% 141.33/141.50 2558[2:Spt:230.1] || -> equal(sdtasdt0(xn,xm),sz00)**.
% 141.33/141.50 2561[2:Rew:2558.0,33.0] || -> equal(sdtsldt0(sz00,xp),xk)**.
% 141.33/141.50 2566[2:Rew:2558.0,2512.1] aNaturalNumber0(u) || -> equal(sdtasdt0(u,xk),sdtsldt0(sdtasdt0(u,sz00),xp))**.
% 141.33/141.50 2568[2:Rew:38.1,2566.1] aNaturalNumber0(u) || -> equal(sdtasdt0(u,xk),sdtsldt0(sz00,xp))**.
% 141.33/141.50 2569[2:Rew:2561.0,2568.1] aNaturalNumber0(u) || -> equal(sdtasdt0(u,xk),xk)**.
% 141.33/141.50 2733[2:SpR:2569.1,39.1] aNaturalNumber0(sz00) aNaturalNumber0(xk) || -> equal(xk,sz00)**.
% 141.33/141.50 2758[2:SSi:2733.0,1.0] aNaturalNumber0(xk) || -> equal(xk,sz00)**.
% 141.33/141.50 2759[2:MRR:2758.1,26.0] aNaturalNumber0(xk) || -> .
% 141.33/141.50 2782[2:SoR:2759.0,1023.2] aNaturalNumber0(u) || equal(xk,u)* -> .
% 141.33/141.50 2786[2:MRR:2782.0,2453.1] || equal(xk,u)* -> .
% 141.33/141.50 2787[2:UnC:2786.0,2561.0] || -> .
% 141.33/141.50 2788[2:Spt:2787.0,230.1,2558.0] || equal(sdtasdt0(xn,xm),sz00)** -> .
% 141.33/141.50 2789[2:Spt:2787.0,230.0] || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))*.
% 141.33/141.50 2942[0:Res:234.3,2460.1] aNaturalNumber0(xk) aNaturalNumber0(skf6(xk)) || -> isPrime0(xk) equal(xk,sz10) equal(xk,sz00) sdtlseqdt0(skf6(xk),xp)*.
% 141.33/141.50 2959[0:SSi:2942.1,9.0] aNaturalNumber0(xk) || -> isPrime0(xk) equal(xk,sz10) equal(xk,sz00) sdtlseqdt0(skf6(xk),xp)*.
% 141.33/141.50 2960[0:MRR:2959.2,2959.3,27.0,26.0] aNaturalNumber0(xk) || -> isPrime0(xk) sdtlseqdt0(skf6(xk),xp)*.
% 141.33/141.50 2983[0:SpR:2463.1,41.2] aNaturalNumber0(u) aNaturalNumber0(xp) || equal(u,xk)* -> aNaturalNumber0(sdtasdt0(xn,xm))*.
% 141.33/141.50 3009[0:SSi:2983.1,6.0,5.0] aNaturalNumber0(u) || equal(u,xk)* -> aNaturalNumber0(sdtasdt0(xn,xm))*.
% 141.33/141.50 3010[0:MRR:3009.0,2453.1] || equal(u,xk)*+ -> aNaturalNumber0(sdtasdt0(xn,xm))*.
% 141.33/141.50 3085[0:EqR:3010.0] || -> aNaturalNumber0(sdtasdt0(xn,xm))*.
% 141.33/141.50 3110[0:SoR:2960.0,2453.1] || equal(xk,xk) -> isPrime0(xk) sdtlseqdt0(skf6(xk),xp)*.
% 141.33/141.50 3111[0:Obv:3110.0] || -> isPrime0(xk) sdtlseqdt0(skf6(xk),xp)*.
% 141.33/141.50 3116[0:SpR:1638.2,10.0] aNaturalNumber0(skf7(u)) || equal(v,skf7(u))* -> aNaturalNumber0(sdtsldt0(v,sz10))*.
% 141.33/141.50 3123[0:SpR:1638.2,19.0] aNaturalNumber0(skf5(u,v)) || equal(w,skf5(u,v))* -> aNaturalNumber0(sdtsldt0(w,sz10))*.
% 141.33/141.50 3156[0:SpR:1638.2,33.0] aNaturalNumber0(sdtasdt0(xn,xm)) || equal(u,sdtasdt0(xn,xm))* -> equal(sdtsldt0(sdtsldt0(u,sz10),xp),xk)**.
% 141.33/141.50 3223[0:SSi:3116.0,10.0] || equal(u,skf7(v))*+ -> aNaturalNumber0(sdtsldt0(u,sz10))*.
% 141.33/141.50 3225[0:SSi:3123.0,19.0] || equal(u,skf5(v,w))*+ -> aNaturalNumber0(sdtsldt0(u,sz10))*.
% 141.33/141.50 3233[0:SSi:3156.0,41.0,3.0,4.2] || equal(u,sdtasdt0(xn,xm))* -> equal(sdtsldt0(sdtsldt0(u,sz10),xp),xk)**.
% 141.33/141.50 3382[0:SpR:39.1,2512.1] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(sz00) || -> equal(sdtasdt0(sz00,xk),sdtsldt0(sz00,xp))**.
% 141.33/141.50 3392[0:SSi:3382.1,3382.0,1.0,41.0,3.2,4.0] || -> equal(sdtasdt0(sz00,xk),sdtsldt0(sz00,xp))**.
% 141.33/141.50 3439[0:SpR:3392.0,39.1] aNaturalNumber0(xk) || -> equal(sdtsldt0(sz00,xp),sz00)**.
% 141.33/141.50 3474[0:SoR:3439.0,2453.1] || equal(xk,xk) -> equal(sdtsldt0(sz00,xp),sz00)**.
% 141.33/141.50 3475[0:Obv:3474.0] || -> equal(sdtsldt0(sz00,xp),sz00)**.
% 141.33/141.50 4095[0:EqR:3225.0] || -> aNaturalNumber0(sdtsldt0(skf5(u,v),sz10))*.
% 141.33/141.50 4105[0:SpR:931.2,4095.0] aNaturalNumber0(u) || equal(v,sz00)* -> equal(u,sz00)* aNaturalNumber0(sdtsldt0(sz00,sz10))*.
% 141.33/141.50 4110[0:AED:17.0,4105.1] aNaturalNumber0(u) || -> equal(u,sz00)* aNaturalNumber0(sdtsldt0(sz00,sz10))*.
% 141.33/141.50 4130[3:Spt:4110.0,4110.1] aNaturalNumber0(u) || -> equal(u,sz00)*.
% 141.33/141.50 4165[3:EmS:4130.0,3223.1] || equal(u,skf7(v))* -> equal(sdtsldt0(u,sz10),sz00)**.
% 141.33/141.50 4170[3:EmS:4130.0,4.0] || -> equal(xm,sz00)**.
% 141.33/141.50 4176[3:EmS:4130.0,3085.0] || -> equal(sdtasdt0(xn,xm),sz00)**.
% 141.33/141.50 4185[3:EmS:4130.0,10.0] || -> equal(skf7(u),sz00)**.
% 141.33/141.50 4226[3:Rew:4170.0,3233.0] || equal(u,sdtasdt0(xn,sz00))* -> equal(sdtsldt0(sdtsldt0(u,sz10),xp),xk)**.
% 141.33/141.50 4326[3:Rew:4170.0,4176.0] || -> equal(sdtasdt0(xn,sz00),sz00)**.
% 141.33/141.50 4384[3:Rew:4185.0,4165.0] || equal(u,sz00) -> equal(sdtsldt0(u,sz10),sz00)**.
% 141.33/141.50 4625[3:Rew:4384.1,4226.1,4326.0,4226.0] || equal(u,sz00)* -> equal(sdtsldt0(sz00,xp),xk)**.
% 141.33/141.50 4626[3:Rew:3475.0,4625.1] || equal(u,sz00)* -> equal(xk,sz00)**.
% 141.33/141.50 4627[3:MRR:4626.1,26.0] || equal(u,sz00)* -> .
% 141.33/141.50 4628[3:UnC:4627.0,3475.0] || -> .
% 141.33/141.50 5036[3:Spt:4628.0,4110.2] || -> aNaturalNumber0(sdtsldt0(sz00,sz10))*.
% 141.33/141.50 5076[4:Spt:3111.0] || -> isPrime0(xk)*.
% 141.33/141.50 5077[4:MRR:621.1,5076.0] aNaturalNumber0(xk) || -> equal(xr,xk)**.
% 141.33/141.50 5094[4:SoR:5077.0,2453.1] || equal(xk,xk) -> equal(xr,xk)**.
% 141.33/141.50 5095[4:Obv:5094.0] || -> equal(xr,xk)**.
% 141.33/141.50 5097[4:Rew:5095.0,7.0] || -> aNaturalNumber0(xk)*.
% 141.33/141.50 5101[4:Rew:5095.0,16.0] || -> doDivides0(xk,xn)*.
% 141.33/141.50 5105[4:Rew:5095.0,44.0] || sdtlseqdt0(sdtsldt0(xn,xk),xn) -> equal(sdtsldt0(xn,xr),xn)**.
% 141.33/141.50 5183[4:Rew:5095.0,5105.1] || sdtlseqdt0(sdtsldt0(xn,xk),xn)* -> equal(sdtsldt0(xn,xk),xn).
% 141.33/141.50 5233[5:Spt:5183.0] || sdtlseqdt0(sdtsldt0(xn,xk),xn)* -> .
% 141.33/141.50 5235[5:Res:1035.2,5233.0] aNaturalNumber0(xn) || equal(sdtsldt0(xn,xk),xn)** -> .
% 141.33/141.50 5238[5:SSi:5235.0,3.0] || equal(sdtsldt0(xn,xk),xn)** -> .
% 141.33/141.50 5264[5:Res:45.2,5233.0] aNaturalNumber0(xn) aNaturalNumber0(sdtsldt0(xn,xk)) || -> sdtlseqdt0(xn,sdtsldt0(xn,xk))*.
% 141.33/141.50 5274[5:SSi:5264.0,3.0] aNaturalNumber0(sdtsldt0(xn,xk)) || -> sdtlseqdt0(xn,sdtsldt0(xn,xk))*.
% 141.33/141.50 11124[0:SpR:63.3,1629.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(v) aNaturalNumber0(skf5(v,u)) || doDivides0(v,u) -> equal(v,sz00) equal(skf5(v,u),sdtsldt0(u,v))**.
% 141.33/141.50 11180[0:Obv:11124.1] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(skf5(v,u)) || doDivides0(v,u) -> equal(v,sz00) equal(skf5(v,u),sdtsldt0(u,v))**.
% 141.33/141.50 11181[0:SSi:11180.2,19.0] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) -> equal(v,sz00) equal(skf5(v,u),sdtsldt0(u,v))**.
% 141.33/141.50 11183[0:Rew:11181.4,2254.5] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(w,u) sdtlseqdt0(v,skf5(w,u))* -> equal(v,sdtsldt0(u,w)) equal(w,sz00) sdtlseqdt0(sdtasdt0(w,v),u)*.
% 141.33/141.50 11186[0:Rew:11181.4,11183.4] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(w,u) sdtlseqdt0(v,sdtsldt0(u,w))*+ -> equal(v,sdtsldt0(u,w)) equal(w,sz00) sdtlseqdt0(sdtasdt0(w,v),u)*.
% 141.33/141.50 11357[5:SoR:5274.0,1256.3] aNaturalNumber0(xk) aNaturalNumber0(xn) || doDivides0(xk,xn) -> sdtlseqdt0(xn,sdtsldt0(xn,xk))* equal(xk,sz00).
% 141.33/141.50 11379[5:SSi:11357.1,11357.0,3.0,5076.0,5097.0] || doDivides0(xk,xn) -> sdtlseqdt0(xn,sdtsldt0(xn,xk))* equal(xk,sz00).
% 141.33/141.50 11380[5:MRR:11379.0,11379.2,5101.0,26.0] || -> sdtlseqdt0(xn,sdtsldt0(xn,xk))*.
% 141.33/141.50 46723[5:Res:11380.0,11186.4] aNaturalNumber0(xn) aNaturalNumber0(xn) aNaturalNumber0(xk) || doDivides0(xk,xn) -> equal(sdtsldt0(xn,xk),xn) equal(xk,sz00) sdtlseqdt0(sdtasdt0(xk,xn),xn)*.
% 141.33/141.50 46762[5:Obv:46723.0] aNaturalNumber0(xn) aNaturalNumber0(xk) || doDivides0(xk,xn) -> equal(sdtsldt0(xn,xk),xn) equal(xk,sz00) sdtlseqdt0(sdtasdt0(xk,xn),xn)*.
% 141.33/141.50 46763[5:Rew:49.2,46762.5] aNaturalNumber0(xn) aNaturalNumber0(xk) || doDivides0(xk,xn) -> equal(sdtsldt0(xn,xk),xn) equal(xk,sz00) sdtlseqdt0(sdtasdt0(xn,xk),xn)*.
% 141.33/141.50 46764[5:SSi:46763.1,46763.0,5076.0,5097.0,3.0] || doDivides0(xk,xn) -> equal(sdtsldt0(xn,xk),xn) equal(xk,sz00) sdtlseqdt0(sdtasdt0(xn,xk),xn)*.
% 141.33/141.50 46765[5:MRR:46764.0,46764.1,46764.2,5101.0,5238.0,26.0] || -> sdtlseqdt0(sdtasdt0(xn,xk),xn)*.
% 141.33/141.50 46900[5:Res:46765.0,375.2] aNaturalNumber0(xk) aNaturalNumber0(xn) || -> equal(xk,sz00) equal(sdtasdt0(xn,xk),xn)**.
% 141.33/141.50 46902[5:SSi:46900.1,46900.0,3.0,5076.0,5097.0] || -> equal(xk,sz00) equal(sdtasdt0(xn,xk),xn)**.
% 141.33/141.50 46903[5:MRR:46902.0,26.0] || -> equal(sdtasdt0(xn,xk),xn)**.
% 141.33/141.50 47015[5:SpL:46903.0,1722.2] aNaturalNumber0(xk) aNaturalNumber0(xn) || equal(xn,xn) -> equal(xk,sz10)** equal(xn,sz00).
% 141.33/141.50 47076[5:Obv:47015.2] aNaturalNumber0(xk) aNaturalNumber0(xn) || -> equal(xk,sz10)** equal(xn,sz00).
% 141.33/141.50 47077[5:SSi:47076.1,47076.0,3.0,5076.0,5097.0] || -> equal(xk,sz10)** equal(xn,sz00).
% 141.33/141.50 47078[5:MRR:47077.0,47077.1,27.0,2402.0] || -> .
% 141.33/141.50 47189[5:Spt:47078.0,5183.0,5233.0] || -> sdtlseqdt0(sdtsldt0(xn,xk),xn)*.
% 141.33/141.50 47190[5:Spt:47078.0,5183.1] || -> equal(sdtsldt0(xn,xk),xn)**.
% 141.33/141.50 47410[5:SpR:47190.0,2137.4] aNaturalNumber0(xn) aNaturalNumber0(xk) || doDivides0(xk,xn) -> equal(xk,sz00) equal(sdtasdt0(xk,xn),xn)**.
% 141.33/141.50 47418[5:Rew:49.2,47410.4] aNaturalNumber0(xn) aNaturalNumber0(xk) || doDivides0(xk,xn) -> equal(xk,sz00) equal(sdtasdt0(xn,xk),xn)**.
% 141.33/141.50 47419[5:SSi:47418.1,47418.0,5076.0,5097.0,3.0] || doDivides0(xk,xn) -> equal(xk,sz00) equal(sdtasdt0(xn,xk),xn)**.
% 141.33/141.50 47420[5:MRR:47419.0,47419.1,5101.0,26.0] || -> equal(sdtasdt0(xn,xk),xn)**.
% 141.33/141.50 47881[5:SpL:47420.0,1722.2] aNaturalNumber0(xk) aNaturalNumber0(xn) || equal(xn,xn) -> equal(xk,sz10)** equal(xn,sz00).
% 141.33/141.50 47936[5:Obv:47881.2] aNaturalNumber0(xk) aNaturalNumber0(xn) || -> equal(xk,sz10)** equal(xn,sz00).
% 141.33/141.50 47937[5:SSi:47936.1,47936.0,3.0,5076.0,5097.0] || -> equal(xk,sz10)** equal(xn,sz00).
% 141.33/141.50 47938[5:MRR:47937.0,47937.1,27.0,2402.0] || -> .
% 141.33/141.50 48046[4:Spt:47938.0,3111.0,5076.0] || isPrime0(xk)* -> .
% 141.33/141.50 48047[4:Spt:47938.0,3111.1] || -> sdtlseqdt0(skf6(xk),xp)*.
% 141.33/141.50 48720[5:Spt:44.0] || sdtlseqdt0(sdtsldt0(xn,xr),xn)* -> .
% 141.33/141.50 48725[5:Res:1035.2,48720.0] aNaturalNumber0(xn) || equal(sdtsldt0(xn,xr),xn)** -> .
% 141.33/141.50 48735[5:SSi:48725.0,3.0] || equal(sdtsldt0(xn,xr),xn)** -> .
% 141.33/141.50 48889[0:SoR:2404.0,1256.3] aNaturalNumber0(xr) aNaturalNumber0(xn) || doDivides0(xr,xn) -> sdtlseqdt0(xn,sdtsldt0(xn,xr))* equal(xr,sz00).
% 141.33/141.50 48895[0:SSi:48889.1,48889.0,3.0,8.0,7.0] || doDivides0(xr,xn) -> sdtlseqdt0(xn,sdtsldt0(xn,xr))* equal(xr,sz00).
% 141.33/141.50 48896[0:MRR:48895.0,48895.2,16.0,114.0] || -> sdtlseqdt0(xn,sdtsldt0(xn,xr))*.
% 160.51/160.75 48916[0:Res:48896.0,11186.4] aNaturalNumber0(xn) aNaturalNumber0(xn) aNaturalNumber0(xr) || doDivides0(xr,xn) -> equal(sdtsldt0(xn,xr),xn) equal(xr,sz00) sdtlseqdt0(sdtasdt0(xr,xn),xn)*.
% 160.51/160.75 48922[0:Obv:48916.0] aNaturalNumber0(xn) aNaturalNumber0(xr) || doDivides0(xr,xn) -> equal(sdtsldt0(xn,xr),xn) equal(xr,sz00) sdtlseqdt0(sdtasdt0(xr,xn),xn)*.
% 160.51/160.75 48923[0:Rew:49.2,48922.5] aNaturalNumber0(xn) aNaturalNumber0(xr) || doDivides0(xr,xn) -> equal(sdtsldt0(xn,xr),xn) equal(xr,sz00) sdtlseqdt0(sdtasdt0(xn,xr),xn)*.
% 160.51/160.75 48924[0:SSi:48923.1,48923.0,8.0,7.0,3.0] || doDivides0(xr,xn) -> equal(sdtsldt0(xn,xr),xn) equal(xr,sz00) sdtlseqdt0(sdtasdt0(xn,xr),xn)*.
% 160.51/160.75 48925[0:MRR:48924.0,48924.2,16.0,114.0] || -> equal(sdtsldt0(xn,xr),xn) sdtlseqdt0(sdtasdt0(xn,xr),xn)*.
% 160.51/160.75 48926[5:MRR:48925.0,48735.0] || -> sdtlseqdt0(sdtasdt0(xn,xr),xn)*.
% 160.51/160.75 48935[5:Res:48926.0,375.2] aNaturalNumber0(xr) aNaturalNumber0(xn) || -> equal(xr,sz00) equal(sdtasdt0(xn,xr),xn)**.
% 160.51/160.75 48938[5:SSi:48935.1,48935.0,3.0,8.0,7.0] || -> equal(xr,sz00) equal(sdtasdt0(xn,xr),xn)**.
% 160.51/160.75 48939[5:MRR:48938.0,114.0] || -> equal(sdtasdt0(xn,xr),xn)**.
% 160.51/160.75 49038[5:SpL:48939.0,1722.2] aNaturalNumber0(xr) aNaturalNumber0(xn) || equal(xn,xn) -> equal(xr,sz10)** equal(xn,sz00).
% 160.51/160.75 49085[5:Obv:49038.2] aNaturalNumber0(xr) aNaturalNumber0(xn) || -> equal(xr,sz10)** equal(xn,sz00).
% 160.51/160.75 49086[5:SSi:49085.1,49085.0,3.0,8.0,7.0] || -> equal(xr,sz10)** equal(xn,sz00).
% 160.51/160.75 49087[5:MRR:49086.0,49086.1,112.0,2402.0] || -> .
% 160.51/160.75 49198[5:Spt:49087.0,44.0,48720.0] || -> sdtlseqdt0(sdtsldt0(xn,xr),xn)*.
% 160.51/160.75 49199[5:Spt:49087.0,44.1] || -> equal(sdtsldt0(xn,xr),xn)**.
% 160.51/160.75 49214[5:SpR:49199.0,2137.4] aNaturalNumber0(xn) aNaturalNumber0(xr) || doDivides0(xr,xn) -> equal(xr,sz00) equal(sdtasdt0(xr,xn),xn)**.
% 160.51/160.75 49226[5:Rew:49.2,49214.4] aNaturalNumber0(xn) aNaturalNumber0(xr) || doDivides0(xr,xn) -> equal(xr,sz00) equal(sdtasdt0(xn,xr),xn)**.
% 160.51/160.75 49227[5:SSi:49226.1,49226.0,8.0,7.0,3.0] || doDivides0(xr,xn) -> equal(xr,sz00) equal(sdtasdt0(xn,xr),xn)**.
% 160.51/160.75 49228[5:MRR:49227.0,49227.1,16.0,114.0] || -> equal(sdtasdt0(xn,xr),xn)**.
% 160.51/160.75 49317[5:SpL:49228.0,1722.2] aNaturalNumber0(xr) aNaturalNumber0(xn) || equal(xn,xn) -> equal(xr,sz10)** equal(xn,sz00).
% 160.51/160.75 49365[5:Obv:49317.2] aNaturalNumber0(xr) aNaturalNumber0(xn) || -> equal(xr,sz10)** equal(xn,sz00).
% 160.51/160.75 49366[5:SSi:49365.1,49365.0,3.0,8.0,7.0] || -> equal(xr,sz10)** equal(xn,sz00).
% 160.51/160.75 49367[5:MRR:49366.0,49366.1,112.0,2402.0] || -> .
% 160.51/160.75 % SZS output end Refutation
% 160.51/160.75 Formulae used in the proof : mSortsC mSortsC_01 m__1837 m__1860 m__2342 mDefPrime mPrimDiv m__2377 m__2487 mDefLE mDefDiv m__1870 m__2327 mLERefl m__2306 m_AddZero m_MulUnit m_MulZero mSortsB mSortsB_02 m__ mLETotal mMulComm mMonMul2 mDivLE mLEAsym mZeroMul mDefDiff mLETran mDefQuot mMulCanc mMonMul mDivAsso
% 160.51/160.75
%------------------------------------------------------------------------------