TSTP Solution File: NUM444+6 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM444+6 : 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 14:26:15 EDT 2022
% Result : Theorem 6.80s 6.98s
% Output : Refutation 8.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM444+6 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jul 7 13:45:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.80/6.98
% 6.80/6.98 SPASS V 3.9
% 6.80/6.98 SPASS beiseite: Proof found.
% 6.80/6.98 % SZS status Theorem
% 6.80/6.98 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/6.98 SPASS derived 19090 clauses, backtracked 11292 clauses, performed 229 splits and kept 17981 clauses.
% 6.80/6.98 SPASS allocated 115578 KBytes.
% 6.80/6.98 SPASS spent 0:00:06.63 on the problem.
% 6.80/6.98 0:00:00.04 for the input.
% 6.80/6.98 0:00:00.26 for the FLOTTER CNF translation.
% 6.80/6.98 0:00:00.15 for inferences.
% 6.80/6.98 0:00:00.19 for the backtracking.
% 6.80/6.98 0:00:05.80 for the reduction.
% 6.80/6.98
% 6.80/6.98
% 6.80/6.98 Here is a proof with depth 9, length 579 :
% 6.80/6.98 % SZS output start Refutation
% 6.80/6.98 1[0:Inp] || -> aInteger0(sz00)*.
% 6.80/6.98 2[0:Inp] || -> aInteger0(sz10)*.
% 6.80/6.98 3[0:Inp] || -> aInteger0(xa)*.
% 6.80/6.98 4[0:Inp] || -> aInteger0(xq)*.
% 6.80/6.98 5[0:Inp] || -> aInteger0(skf29(u))*.
% 6.80/6.98 11[0:Inp] || -> aInteger0(skf30(u,v))*.
% 6.80/6.98 13[0:Inp] || equal(xq,sz00)** -> .
% 6.80/6.98 15[0:Inp] || aElementOf0(skc4,cS1395) -> SkC0*.
% 6.80/6.98 16[0:Inp] || -> SkC0 aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 17[0:Inp] || -> SkP5(u)* aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 18[0:Inp] aInteger0(u) || -> aInteger0(smndt0(u))*.
% 6.80/6.98 23[0:Inp] aInteger0(u) || -> SkC0* aElementOf0(u,cS1395)*.
% 6.80/6.98 25[0:Inp] || -> SkP5(u)* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 28[0:Inp] || SkC0 -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 30[0:Inp] aInteger0(u) || -> equal(sdtpldt0(u,sz00),u)**.
% 6.80/6.98 31[0:Inp] aInteger0(u) || -> equal(sdtpldt0(sz00,u),u)**.
% 6.80/6.98 32[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 6.80/6.98 33[0:Inp] aInteger0(u) || -> equal(sdtasdt0(sz10,u),u)**.
% 6.80/6.98 34[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,sz00),sz00)**.
% 6.80/6.98 35[0:Inp] aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz00)**.
% 6.80/6.98 38[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> aInteger0(u) SkC0.
% 6.80/6.98 40[0:Inp] aInteger0(u) || -> equal(sdtpldt0(u,smndt0(u)),sz00)**.
% 6.80/6.98 41[0:Inp] aInteger0(u) || -> equal(sdtpldt0(smndt0(u),u),sz00)**.
% 6.80/6.98 49[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))* SkC0 -> aInteger0(u).
% 6.80/6.98 51[0:Inp] aInteger0(u) aInteger0(v) || -> aInteger0(sdtpldt0(v,u))*.
% 6.80/6.98 52[0:Inp] aInteger0(u) aInteger0(v) || -> aInteger0(sdtasdt0(v,u))*.
% 6.80/6.98 53[0:Inp] aInteger0(u) || -> equal(sdtasdt0(smndt0(sz10),u),smndt0(u))**.
% 6.80/6.98 54[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,smndt0(sz10)),smndt0(u))**.
% 6.80/6.98 61[0:Inp] || SkC0 aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> aInteger0(u).
% 6.80/6.98 63[0:Inp] SkP5(u) || sdteqdtlpzmzozddtrp0(v,u,xq) -> SkP4(v,u)*.
% 6.80/6.98 72[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))* SkC0.
% 6.80/6.98 73[0:Inp] SkP5(u) || aDivisorOf0(xq,sdtpldt0(v,smndt0(u)))* -> SkP4(v,u).
% 6.80/6.98 74[0:Inp] aInteger0(u) aInteger0(v) || -> equal(sdtpldt0(v,u),sdtpldt0(u,v))*.
% 6.80/6.98 76[0:Inp] aInteger0(u) aInteger0(v) || -> equal(u,sz00) sdteqdtlpzmzozddtrp0(v,v,u)*.
% 6.80/6.98 77[0:Inp] aInteger0(u) || -> isPrime0(skf31(v))* equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 79[0:Inp] aInteger0(u) aInteger0(v) || SkP4(u,v)*+ -> aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 80[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))* SkC0 -> aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 81[0:Inp] aInteger0(u) || SkC0 -> equal(u,sz00) aElementOf0(skf27(u),szAzrzSzezqlpdtcmdtrp0(skc2,u))*.
% 6.80/6.98 84[0:Inp] aInteger0(u) || aDivisorOf0(v,u) -> equal(sdtasdt0(v,skf30(u,v)),u)**.
% 6.80/6.98 91[0:Inp] || SkC0 aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 99[0:Inp] aInteger0(u) aInteger0(v) || SkP4(v,u)* aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 100[0:Inp] aInteger0(u) aInteger0(v) || SkP4(u,v)*+ -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 101[0:Inp] aInteger0(u) || SkC0 -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)).
% 6.80/6.98 102[0:Inp] aInteger0(u) || SkC0 aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(skc2,u))* -> aInteger0(v) equal(u,sz00).
% 6.80/6.98 103[0:Inp] aInteger0(u) || SkC0 aElementOf0(skf27(v),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*+ -> equal(u,sz00)*.
% 6.80/6.98 105[0:Inp] aInteger0(u) || aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))* -> aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))* SkC0.
% 6.80/6.98 109[0:Inp] aInteger0(u) || aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))* SkC0 -> aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 111[0:Inp] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> SkP5(v)* equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 118[0:Inp] SkP5(u) aInteger0(v) || equal(sdtasdt0(xq,v),sdtpldt0(w,smndt0(u)))* -> SkP4(w,u).
% 6.80/6.98 129[0:Inp] aInteger0(u) || SkC0 aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(skc2,u))* -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(v,smndt0(skc2)))*.
% 6.80/6.98 149[0:Inp] aInteger0(u) aInteger0(v) aInteger0(w) || sdteqdtlpzmzozddtrp0(w,v,u)*+ -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(w,smndt0(v)))*.
% 6.80/6.98 154[0:Inp] aInteger0(u) aInteger0(v) || SkP4(u,v)* aElementOf0(w,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf20(w)),sdtpldt0(w,smndt0(xa)))**.
% 6.80/6.98 169[0:MRR:49.1,38.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> aInteger0(u).
% 6.80/6.98 171[0:MRR:80.1,72.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 173[0:MRR:99.1,169.1] aInteger0(u) || SkP4(v,u)* aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> .
% 6.80/6.98 174[0:MRR:109.2,105.3] aInteger0(u) || aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))*+ -> aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 524[1:Spt:79.0,79.1,79.2] aInteger0(u) aInteger0(v) || SkP4(u,v)* -> .
% 6.80/6.98 525[2:Spt:103.0,103.3] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 557[2:EmS:525.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 558[2:MRR:557.0,13.0] || -> .
% 6.80/6.98 559[2:Spt:558.0,103.1,103.2] || SkC0 aElementOf0(skf27(u),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> .
% 6.80/6.98 561[3:Spt:61.1,61.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> aInteger0(u).
% 6.80/6.98 563[4:Spt:23.0,23.2] aInteger0(u) || -> aElementOf0(u,cS1395)*.
% 6.80/6.98 565[5:Spt:77.0,77.2,77.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 884[0:Res:25.1,169.0] || -> SkP5(u)* aInteger0(u).
% 6.80/6.98 1290[0:SpR:41.1,30.1] aInteger0(sz00) aInteger0(smndt0(sz00)) || -> equal(smndt0(sz00),sz00)**.
% 6.80/6.98 1293[0:SSi:1290.1,1290.0,18.0,1.0,1.1] || -> equal(smndt0(sz00),sz00)**.
% 6.80/6.98 1302[5:SpR:565.2,40.1] aInteger0(u) aInteger0(sz10) || -> equal(u,sz10) equal(sdtpldt0(sz10,u),sz00)**.
% 6.80/6.98 1304[5:SSi:1302.1,2.0] aInteger0(u) || -> equal(u,sz10) equal(sdtpldt0(sz10,u),sz00)**.
% 6.80/6.98 2165[5:SpR:1304.2,30.1] aInteger0(sz00) aInteger0(sz10) || -> equal(sz10,sz00)** equal(sz10,sz00)**.
% 6.80/6.98 2172[5:Obv:2165.2] aInteger0(sz00) aInteger0(sz10) || -> equal(sz10,sz00)**.
% 6.80/6.98 2173[5:SSi:2172.1,2172.0,2.0,1.0] || -> equal(sz10,sz00)**.
% 6.80/6.98 2185[5:Rew:2173.0,33.1] aInteger0(u) || -> equal(sdtasdt0(sz00,u),u)**.
% 6.80/6.98 2254[5:Rew:35.1,2185.1] aInteger0(u) || -> equal(sz00,u)*.
% 6.80/6.98 2473[5:EmS:2254.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 2522[5:MRR:2473.0,13.0] || -> .
% 6.80/6.98 2603[5:Spt:2522.0,77.1] || -> isPrime0(skf31(u))*.
% 6.80/6.98 2604[6:Spt:91.0] || SkC0* -> .
% 6.80/6.98 2609[6:MRR:15.1,2604.0] || aElementOf0(skc4,cS1395)* -> .
% 6.80/6.98 2611[6:MRR:16.0,2604.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 2629[6:Res:563.1,2609.0] aInteger0(skc4) || -> .
% 6.80/6.98 2641[6:Res:2611.0,169.0] || -> aInteger0(skc4)*.
% 6.80/6.98 2642[6:MRR:2641.0,2629.0] || -> .
% 6.80/6.98 2643[6:Spt:2642.0,91.0,2604.0] || -> SkC0*.
% 6.80/6.98 2644[6:Spt:2642.0,91.1,91.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 2651[6:MRR:28.0,2643.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 2698[7:Spt:111.0,111.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 2699[7:Res:25.1,2698.0] || -> SkP5(u) equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 2714[6:Res:2651.0,2644.0] || aElementOf0(skc2,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 2715[6:Res:25.1,2714.0] || -> SkP5(skc2)*.
% 6.80/6.98 2747[6:Res:2651.0,561.0] || -> aInteger0(skc2)*.
% 6.80/6.98 2794[1:Res:63.2,524.2] SkP5(u) aInteger0(v) aInteger0(u) || sdteqdtlpzmzozddtrp0(v,u,xq)* -> .
% 6.80/6.98 2803[0:Res:25.1,171.0] || -> SkP5(u) aDivisorOf0(xq,sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 2808[0:SpR:31.1,2803.1] aInteger0(smndt0(xa)) || -> SkP5(sz00) aDivisorOf0(xq,smndt0(xa))*.
% 6.80/6.98 2809[0:SpR:41.1,2803.1] aInteger0(smndt0(xa)) || -> SkP5(smndt0(smndt0(xa)))* aDivisorOf0(xq,sz00).
% 6.80/6.98 2810[0:SpR:40.1,2803.1] aInteger0(xa) || -> SkP5(xa)* aDivisorOf0(xq,sz00).
% 6.80/6.98 2813[0:SSi:2810.0,3.0] || -> SkP5(xa)* aDivisorOf0(xq,sz00).
% 6.80/6.98 2814[0:SSi:2808.0,18.0,3.1] || -> SkP5(sz00) aDivisorOf0(xq,smndt0(xa))*.
% 6.80/6.98 2815[0:SSi:2809.0,18.0,3.1] || -> SkP5(smndt0(smndt0(xa)))* aDivisorOf0(xq,sz00).
% 6.80/6.98 2846[0:Res:25.1,173.2] aInteger0(u) || SkP4(v,u)*+ -> SkP5(v)*.
% 6.80/6.98 2853[7:SpR:2699.1,52.2] aInteger0(skf29(u)) aInteger0(xq) || -> SkP5(u) aInteger0(sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 2855[7:SSi:2853.1,2853.0,4.0,5.0] || -> SkP5(u) aInteger0(sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 2899[0:SpL:1293.0,73.1] SkP5(sz00) || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00).
% 6.80/6.98 2902[0:SpL:40.1,73.1] aInteger0(u) SkP5(u) || aDivisorOf0(xq,sz00) -> SkP4(u,u)*.
% 6.80/6.98 2903[0:Res:2803.1,73.1] SkP5(xa) || -> SkP5(u)* SkP4(u,xa).
% 6.80/6.98 2905[0:SoR:2903.0,2813.0] || -> SkP5(u)* SkP4(u,xa) aDivisorOf0(xq,sz00).
% 6.80/6.98 2913[8:Spt:2905.0,2905.1] || -> SkP5(u)* SkP4(u,xa).
% 6.80/6.98 2930[8:SoR:2899.0,2913.0] || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00) SkP4(sz00,xa).
% 6.80/6.98 2931[9:Spt:2930.0,2930.1] || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00).
% 6.80/6.98 2932[9:SpL:31.1,2931.0] aInteger0(sz00) || aDivisorOf0(xq,sz00) -> SkP4(sz00,sz00)*.
% 6.80/6.98 2934[9:SpL:30.1,2931.0] aInteger0(u) || aDivisorOf0(xq,u) -> SkP4(u,sz00)*.
% 6.80/6.98 2935[9:SSi:2932.0,1.0] || aDivisorOf0(xq,sz00) -> SkP4(sz00,sz00)*.
% 6.80/6.98 2937[9:Res:2935.1,524.2] aInteger0(sz00) aInteger0(sz00) || aDivisorOf0(xq,sz00)* -> .
% 6.80/6.98 2940[9:Obv:2937.0] aInteger0(sz00) || aDivisorOf0(xq,sz00)* -> .
% 6.80/6.98 2941[9:SSi:2940.0,1.0] || aDivisorOf0(xq,sz00)* -> .
% 6.80/6.98 2942[9:MRR:2813.1,2941.0] || -> SkP5(xa)*.
% 6.80/6.98 2949[0:SpR:74.2,2803.1] aInteger0(smndt0(xa)) aInteger0(u) || -> SkP5(u) aDivisorOf0(xq,sdtpldt0(smndt0(xa),u))*.
% 6.80/6.98 2968[9:SSi:2949.0,18.0,3.0,2942.1] aInteger0(u) || -> SkP5(u) aDivisorOf0(xq,sdtpldt0(smndt0(xa),u))*.
% 6.80/6.98 2969[9:MRR:2968.0,884.1] || -> SkP5(u) aDivisorOf0(xq,sdtpldt0(smndt0(xa),u))*.
% 6.80/6.98 2984[9:Res:2969.1,2931.0] || -> SkP5(sz00) SkP4(smndt0(xa),sz00)*.
% 6.80/6.98 2985[9:Res:2984.1,524.2] aInteger0(smndt0(xa)) aInteger0(sz00) || -> SkP5(sz00)*.
% 6.80/6.98 2988[9:SSi:2985.1,2985.0,1.0,18.0,3.1,2942.0] || -> SkP5(sz00)*.
% 6.80/6.98 3027[9:Res:2934.2,524.2] aInteger0(u) aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 3031[9:Obv:3027.0] aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 3032[9:SSi:3031.1,1.0,2988.0] aInteger0(u) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 3033[9:Res:2803.1,3032.1] aInteger0(sdtpldt0(u,smndt0(xa))) || -> SkP5(u)*.
% 6.80/6.98 3035[9:MRR:3033.0,2855.1] || -> SkP5(u)*.
% 6.80/6.98 3042[9:MRR:2794.0,3035.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 3051[9:Res:76.3,3042.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 3052[9:Obv:3051.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 3053[9:Con:3052.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 3054[9:SSi:3053.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 3055[9:MRR:3054.0,13.0] || -> .
% 6.80/6.98 3056[9:Spt:3055.0,2930.2] || -> SkP4(sz00,xa)*.
% 6.80/6.98 3057[0:SSi:2949.0,18.0,3.1] aInteger0(u) || -> SkP5(u) aDivisorOf0(xq,sdtpldt0(smndt0(xa),u))*.
% 6.80/6.98 3058[0:MRR:3057.0,884.1] || -> SkP5(u) aDivisorOf0(xq,sdtpldt0(smndt0(xa),u))*.
% 6.80/6.98 3059[9:Res:3056.0,524.2] aInteger0(sz00) aInteger0(xa) || -> .
% 6.80/6.98 3060[9:SSi:3059.1,3059.0,3.0,1.0] || -> .
% 6.80/6.98 3061[8:Spt:3060.0,2905.2] || -> aDivisorOf0(xq,sz00)*.
% 6.80/6.98 3062[8:MRR:2902.2,3061.0] aInteger0(u) SkP5(u) || -> SkP4(u,u)*.
% 6.80/6.98 3122[0:Res:3058.1,73.1] SkP5(u) || -> SkP5(smndt0(u))* SkP4(smndt0(xa),u)*.
% 6.80/6.98 3123[8:Res:3062.2,524.2] aInteger0(u) SkP5(u) aInteger0(u) aInteger0(u) || -> .
% 6.80/6.98 3128[8:Obv:3123.2] SkP5(u) aInteger0(u) || -> .
% 6.80/6.98 3165[8:EmS:3128.0,3128.1,2715.0,2747.0] || -> .
% 6.80/6.98 3325[7:Spt:3165.0,111.1] || -> SkP5(u)*.
% 6.80/6.98 3336[7:MRR:2794.0,3325.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 3383[7:Res:76.3,3336.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 3384[7:Obv:3383.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 3385[7:Con:3384.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 3386[7:SSi:3385.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 3387[7:MRR:3386.0,13.0] || -> .
% 6.80/6.98 3388[4:Spt:3387.0,23.1] || -> SkC0*.
% 6.80/6.98 3392[4:MRR:28.0,3388.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 3399[4:MRR:91.0,3388.0] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 3441[5:Spt:77.0,77.2,77.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 3455[5:SpR:3441.2,35.1] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz10)** equal(smndt0(sz10),sz00).
% 6.80/6.98 3557[5:Rew:35.1,3455.2] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 3558[5:SSi:3557.0,52.0,1.2] aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 3660[4:Res:3392.0,561.0] || -> aInteger0(skc2)*.
% 6.80/6.98 4084[5:EmS:3558.0,3660.0] || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 4104[4:Res:3392.0,3399.0] || aElementOf0(skc2,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 4112[6:Spt:4084.0] || -> equal(sz10,sz00)**.
% 6.80/6.98 4114[6:Rew:4112.0,32.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),u)**.
% 6.80/6.98 4243[6:Rew:34.1,4114.1] aInteger0(u) || -> equal(sz00,u)*.
% 6.80/6.98 4375[6:EmS:4243.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 4448[6:MRR:4375.0,13.0] || -> .
% 6.80/6.98 4544[6:Spt:4448.0,4084.0,4112.0] || equal(sz10,sz00)** -> .
% 6.80/6.98 4545[6:Spt:4448.0,4084.1] || -> equal(smndt0(sz10),sz00)**.
% 6.80/6.98 4550[6:Rew:4545.0,54.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),smndt0(u))**.
% 6.80/6.98 4551[6:Rew:34.1,4550.1] aInteger0(u) || -> equal(smndt0(u),sz00)**.
% 6.80/6.98 4553[6:Rew:4551.1,41.1] aInteger0(u) || -> equal(sdtpldt0(sz00,u),sz00)**.
% 6.80/6.98 4555[6:Rew:31.1,4553.1] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 4647[6:EmS:4555.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 4748[6:MRR:4647.0,13.0] || -> .
% 6.80/6.98 4835[5:Spt:4748.0,77.1] || -> isPrime0(skf31(u))*.
% 6.80/6.98 4836[6:Spt:111.1] || -> SkP5(u)*.
% 6.80/6.98 4840[6:MRR:2794.0,4836.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 5098[6:Res:76.3,4840.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 5099[6:Obv:5098.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 5100[6:Con:5099.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 5101[6:SSi:5100.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 5102[6:MRR:5101.0,13.0] || -> .
% 6.80/6.98 5103[6:Spt:5102.0,111.0,111.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 5113[7:Spt:17.0] || -> SkP5(u)*.
% 6.80/6.98 5117[7:MRR:2794.0,5113.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 5198[7:Res:76.3,5117.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 5199[7:Obv:5198.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 5200[7:Con:5199.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 5201[7:SSi:5200.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 5202[7:MRR:5201.0,13.0] || -> .
% 6.80/6.98 5203[7:Spt:5202.0,17.1] || -> aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 5228[6:Res:25.1,5103.0] || -> SkP5(u) equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 5235[4:Res:25.1,4104.0] || -> SkP5(skc2)*.
% 6.80/6.98 5237[8:Spt:2813.0] || -> SkP5(xa)*.
% 6.80/6.98 5238[8:MRR:2903.0,5237.0] || -> SkP5(u)* SkP4(u,xa).
% 6.80/6.98 5295[6:SpR:5228.1,52.2] aInteger0(skf29(u)) aInteger0(xq) || -> SkP5(u) aInteger0(sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 5297[6:SSi:5295.1,5295.0,4.0,5.0] || -> SkP5(u) aInteger0(sdtpldt0(u,smndt0(xa)))*.
% 6.80/6.98 5312[8:SoR:2899.0,5238.0] || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00) SkP4(sz00,xa).
% 6.80/6.98 5329[9:Spt:5312.0,5312.1] || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00).
% 6.80/6.98 5333[9:SpL:30.1,5329.0] aInteger0(u) || aDivisorOf0(xq,u) -> SkP4(u,sz00)*.
% 6.80/6.98 5335[9:Res:3058.1,5329.0] || -> SkP5(sz00) SkP4(smndt0(xa),sz00)*.
% 6.80/6.98 5340[10:Spt:5335.0] || -> SkP5(sz00)*.
% 6.80/6.98 5356[9:Res:5333.2,524.2] aInteger0(u) aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 5360[9:Obv:5356.0] aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 5361[10:SSi:5360.1,1.0,5340.0] aInteger0(u) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 5388[10:Res:2803.1,5361.1] aInteger0(sdtpldt0(u,smndt0(xa))) || -> SkP5(u)*.
% 6.80/6.98 5390[10:MRR:5388.0,5297.1] || -> SkP5(u)*.
% 6.80/6.98 5393[10:MRR:2794.0,5390.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 5437[10:Res:76.3,5393.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 5438[10:Obv:5437.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 5439[10:Con:5438.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 5440[10:SSi:5439.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 5441[10:MRR:5440.0,13.0] || -> .
% 6.80/6.98 5442[10:Spt:5441.0,5335.0,5340.0] || SkP5(sz00)* -> .
% 6.80/6.98 5443[10:Spt:5441.0,5335.1] || -> SkP4(smndt0(xa),sz00)*.
% 6.80/6.98 5450[10:Res:5443.0,524.2] aInteger0(smndt0(xa)) aInteger0(sz00) || -> .
% 6.80/6.98 5451[10:SSi:5450.1,5450.0,1.0,18.1,3.0] || -> .
% 6.80/6.98 5452[9:Spt:5451.0,5312.2] || -> SkP4(sz00,xa)*.
% 6.80/6.98 5453[9:Res:5452.0,524.2] aInteger0(sz00) aInteger0(xa) || -> .
% 6.80/6.98 5454[9:SSi:5453.1,5453.0,3.0,1.0] || -> .
% 6.80/6.98 5455[8:Spt:5454.0,2813.0,5237.0] || SkP5(xa)* -> .
% 6.80/6.98 5456[8:Spt:5454.0,2813.1] || -> aDivisorOf0(xq,sz00)*.
% 6.80/6.98 5457[8:MRR:2902.2,5456.0] aInteger0(u) SkP5(u) || -> SkP4(u,u)*.
% 6.80/6.98 5600[8:Res:5457.2,524.2] aInteger0(u) SkP5(u) aInteger0(u) aInteger0(u) || -> .
% 6.80/6.98 5608[8:Obv:5600.2] SkP5(u) aInteger0(u) || -> .
% 6.80/6.98 5737[8:EmS:5608.0,5608.1,5235.0,3660.0] || -> .
% 6.80/6.98 5809[3:Spt:5737.0,61.0] || SkC0* -> .
% 6.80/6.98 5812[3:MRR:15.1,5809.0] || aElementOf0(skc4,cS1395)* -> .
% 6.80/6.98 5816[3:MRR:16.0,5809.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 5818[3:MRR:23.1,5809.0] aInteger0(u) || -> aElementOf0(u,cS1395)*.
% 6.80/6.98 6111[3:Res:5816.0,169.0] || -> aInteger0(skc4)*.
% 6.80/6.98 6122[3:Res:5818.1,5812.0] aInteger0(skc4) || -> .
% 6.80/6.98 6123[3:SSi:6122.0,6111.0] || -> .
% 6.80/6.98 6124[1:Spt:6123.0,79.3] || -> aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 6153[2:Spt:103.0,103.3] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 6175[2:EmS:6153.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 6375[2:MRR:6175.0,13.0] || -> .
% 6.80/6.98 6709[2:Spt:6375.0,103.1,103.2] || SkC0 aElementOf0(skf27(u),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> .
% 6.80/6.98 6711[3:Spt:154.0,154.1,154.2] aInteger0(u) aInteger0(v) || SkP4(u,v)* -> .
% 6.80/6.98 6712[4:Spt:61.1,61.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> aInteger0(u).
% 6.80/6.98 6719[5:Spt:23.0,23.2] aInteger0(u) || -> aElementOf0(u,cS1395)*.
% 6.80/6.98 6730[6:Spt:77.0,77.2,77.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 7499[6:SpR:6730.2,40.1] aInteger0(u) aInteger0(sz10) || -> equal(u,sz10) equal(sdtpldt0(sz10,u),sz00)**.
% 6.80/6.98 7500[6:SSi:7499.1,2.0] aInteger0(u) || -> equal(u,sz10) equal(sdtpldt0(sz10,u),sz00)**.
% 6.80/6.98 8692[6:SpR:7500.2,30.1] aInteger0(sz00) aInteger0(sz10) || -> equal(sz10,sz00)** equal(sz10,sz00)**.
% 6.80/6.98 8699[6:Obv:8692.2] aInteger0(sz00) aInteger0(sz10) || -> equal(sz10,sz00)**.
% 6.80/6.98 8700[6:SSi:8699.1,8699.0,2.0,1.0] || -> equal(sz10,sz00)**.
% 6.80/6.98 8711[6:Rew:8700.0,32.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),u)**.
% 6.80/6.98 8785[6:Rew:34.1,8711.1] aInteger0(u) || -> equal(sz00,u)*.
% 6.80/6.98 9061[6:EmS:8785.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 9145[6:MRR:9061.0,13.0] || -> .
% 6.80/6.98 9264[6:Spt:9145.0,77.1] || -> isPrime0(skf31(u))*.
% 6.80/6.98 9265[7:Spt:91.0] || SkC0* -> .
% 6.80/6.98 9270[7:MRR:15.1,9265.0] || aElementOf0(skc4,cS1395)* -> .
% 6.80/6.98 9271[7:MRR:16.0,9265.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 9299[7:Res:6719.1,9270.0] aInteger0(skc4) || -> .
% 6.80/6.98 9318[7:Res:9271.0,169.0] || -> aInteger0(skc4)*.
% 6.80/6.98 9319[7:MRR:9318.0,9299.0] || -> .
% 6.80/6.98 9320[7:Spt:9319.0,91.0,9265.0] || -> SkC0*.
% 6.80/6.98 9321[7:Spt:9319.0,91.1,91.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 9328[7:MRR:28.0,9320.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 9386[8:Spt:111.1] || -> SkP5(u)*.
% 6.80/6.98 9387[8:MRR:63.0,9386.0] || sdteqdtlpzmzozddtrp0(u,v,xq) -> SkP4(u,v)*.
% 6.80/6.98 9407[7:Res:9328.0,9321.0] || aElementOf0(skc2,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 9418[8:Res:9387.1,6711.2] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 9440[7:Res:9328.0,6712.0] || -> aInteger0(skc2)*.
% 6.80/6.98 9593[8:Res:76.3,9418.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 9594[8:Obv:9593.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 9595[8:Con:9594.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 9596[8:SSi:9595.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 9597[8:MRR:9596.0,13.0] || -> .
% 6.80/6.98 9598[8:Spt:9597.0,111.0,111.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 9613[9:Spt:2813.0] || -> SkP5(xa)*.
% 6.80/6.98 9614[9:MRR:2903.0,9613.0] || -> SkP5(u)* SkP4(u,xa).
% 6.80/6.98 9615[10:Spt:2814.0] || -> SkP5(sz00)*.
% 6.80/6.98 9616[10:MRR:2899.0,9615.0] || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00).
% 6.80/6.98 9627[7:Res:25.1,9407.0] || -> SkP5(skc2)*.
% 6.80/6.98 9646[3:Res:63.2,6711.2] SkP5(u) aInteger0(v) aInteger0(u) || sdteqdtlpzmzozddtrp0(v,u,xq)* -> .
% 6.80/6.98 9653[10:SpL:30.1,9616.0] aInteger0(u) || aDivisorOf0(xq,u) -> SkP4(u,sz00)*.
% 6.80/6.98 9668[3:Res:3122.2,6711.2] SkP5(u) aInteger0(smndt0(xa)) aInteger0(u) || -> SkP5(smndt0(u))*.
% 6.80/6.98 9670[9:SSi:9668.1,18.0,3.0,9613.1] SkP5(u) aInteger0(u) || -> SkP5(smndt0(u))*.
% 6.80/6.98 9710[10:Res:9653.2,6711.2] aInteger0(u) aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 9714[10:Obv:9710.0] aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 9715[10:SSi:9714.1,1.0,9615.0] aInteger0(u) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 9716[10:Res:2803.1,9715.1] aInteger0(sdtpldt0(u,smndt0(xa))) || -> SkP5(u)*.
% 6.80/6.98 9718[10:SoR:9716.0,51.2] aInteger0(u) aInteger0(smndt0(xa)) || -> SkP5(u)*.
% 6.80/6.98 9719[10:SSi:9718.1,18.0,3.0,9613.2,9670.0,3.0,9613.1] aInteger0(u) || -> SkP5(u)*.
% 6.80/6.98 9720[10:MRR:9719.0,884.1] || -> SkP5(u)*.
% 6.80/6.98 9727[10:MRR:9646.0,9720.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 9743[10:Res:76.3,9727.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 9744[10:Obv:9743.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 9745[10:Con:9744.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 9746[10:SSi:9745.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 9747[10:MRR:9746.0,13.0] || -> .
% 6.80/6.98 9748[10:Spt:9747.0,2814.0,9615.0] || SkP5(sz00)* -> .
% 6.80/6.98 9749[10:Spt:9747.0,2814.1] || -> aDivisorOf0(xq,smndt0(xa))*.
% 6.80/6.98 9754[10:Res:9614.0,9748.0] || -> SkP4(sz00,xa)*.
% 6.80/6.98 9755[10:Res:9754.0,6711.2] aInteger0(sz00) aInteger0(xa) || -> .
% 6.80/6.98 9756[10:SSi:9755.1,9755.0,3.0,9613.0,1.0] || -> .
% 6.80/6.98 9757[9:Spt:9756.0,2813.0,9613.0] || SkP5(xa)* -> .
% 6.80/6.98 9758[9:Spt:9756.0,2813.1] || -> aDivisorOf0(xq,sz00)*.
% 6.80/6.98 9759[9:MRR:2902.2,9758.0] aInteger0(u) SkP5(u) || -> SkP4(u,u)*.
% 6.80/6.98 9761[3:SSi:9668.1,18.0,3.1] SkP5(u) aInteger0(u) || -> SkP5(smndt0(u))*.
% 6.80/6.98 9861[9:Res:9759.2,6711.2] aInteger0(u) SkP5(u) aInteger0(u) aInteger0(u) || -> .
% 6.80/6.98 9866[9:Obv:9861.2] SkP5(u) aInteger0(u) || -> .
% 6.80/6.98 9897[9:EmS:9866.0,9866.1,9627.0,9440.0] || -> .
% 6.80/6.98 10067[5:Spt:9897.0,23.1] || -> SkC0*.
% 6.80/6.98 10070[5:MRR:28.0,10067.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 10078[5:MRR:91.0,10067.0] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 10122[6:Spt:77.0,77.2,77.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 10138[6:SpR:10122.2,35.1] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz10)** equal(smndt0(sz10),sz00).
% 6.80/6.98 10254[6:Rew:35.1,10138.2] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 10255[6:SSi:10254.0,52.0,1.2] aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 10366[5:Res:10070.0,6712.0] || -> aInteger0(skc2)*.
% 6.80/6.98 10836[6:EmS:10255.0,10366.0] || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 10846[7:Spt:10836.0] || -> equal(sz10,sz00)**.
% 6.80/6.98 10848[7:Rew:10846.0,33.1] aInteger0(u) || -> equal(sdtasdt0(sz00,u),u)**.
% 6.80/6.98 10976[7:Rew:35.1,10848.1] aInteger0(u) || -> equal(sz00,u)*.
% 6.80/6.98 11109[7:EmS:10976.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 11178[7:MRR:11109.0,13.0] || -> .
% 6.80/6.98 11263[7:Spt:11178.0,10836.0,10846.0] || equal(sz10,sz00)** -> .
% 6.80/6.98 11264[7:Spt:11178.0,10836.1] || -> equal(smndt0(sz10),sz00)**.
% 6.80/6.98 11269[7:Rew:11264.0,54.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),smndt0(u))**.
% 6.80/6.98 11270[7:Rew:34.1,11269.1] aInteger0(u) || -> equal(smndt0(u),sz00)**.
% 6.80/6.98 11272[7:Rew:11270.1,41.1] aInteger0(u) || -> equal(sdtpldt0(sz00,u),sz00)**.
% 6.80/6.98 11274[7:Rew:31.1,11272.1] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 11367[7:EmS:11274.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 11464[7:MRR:11367.0,13.0] || -> .
% 6.80/6.98 11541[6:Spt:11464.0,77.1] || -> isPrime0(skf31(u))*.
% 6.80/6.98 11542[7:Spt:111.1] || -> SkP5(u)*.
% 6.80/6.98 11546[7:MRR:9646.0,11542.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 11698[5:Res:10070.0,10078.0] || aElementOf0(skc2,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 11835[7:Res:76.3,11546.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 11836[7:Obv:11835.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 11837[7:Con:11836.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 11838[7:SSi:11837.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 11839[7:MRR:11838.0,13.0] || -> .
% 6.80/6.98 11840[7:Spt:11839.0,111.0,111.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 11855[8:Spt:2813.0] || -> SkP5(xa)*.
% 6.80/6.98 11856[8:MRR:2903.0,11855.0] || -> SkP5(u)* SkP4(u,xa).
% 6.80/6.98 11857[9:Spt:2814.0] || -> SkP5(sz00)*.
% 6.80/6.98 11858[9:MRR:2899.0,11857.0] || aDivisorOf0(xq,sdtpldt0(u,sz00))* -> SkP4(u,sz00).
% 6.80/6.98 11868[5:Res:25.1,11698.0] || -> SkP5(skc2)*.
% 6.80/6.98 11909[9:SpL:30.1,11858.0] aInteger0(u) || aDivisorOf0(xq,u) -> SkP4(u,sz00)*.
% 6.80/6.98 11938[9:Res:11909.2,6711.2] aInteger0(u) aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 11942[9:Obv:11938.0] aInteger0(u) aInteger0(sz00) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 11943[9:SSi:11942.1,1.0,11857.0] aInteger0(u) || aDivisorOf0(xq,u)* -> .
% 6.80/6.98 11944[9:Res:2803.1,11943.1] aInteger0(sdtpldt0(u,smndt0(xa))) || -> SkP5(u)*.
% 6.80/6.98 11948[9:SoR:11944.0,51.2] aInteger0(u) aInteger0(smndt0(xa)) || -> SkP5(u)*.
% 6.80/6.98 11949[9:SSi:11948.1,18.0,3.0,11855.2,9761.0,3.0,11855.1] aInteger0(u) || -> SkP5(u)*.
% 6.80/6.98 11950[9:MRR:11949.0,884.1] || -> SkP5(u)*.
% 6.80/6.98 11953[9:MRR:9646.0,11950.0] aInteger0(u) aInteger0(v) || sdteqdtlpzmzozddtrp0(u,v,xq)* -> .
% 6.80/6.98 11997[9:Res:76.3,11953.2] aInteger0(xq) aInteger0(u) aInteger0(u) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 11998[9:Obv:11997.2] aInteger0(xq) aInteger0(u) || -> equal(xq,sz00)**.
% 6.80/6.98 11999[9:Con:11998.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 12000[9:SSi:11999.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 12001[9:MRR:12000.0,13.0] || -> .
% 6.80/6.98 12002[9:Spt:12001.0,2814.0,11857.0] || SkP5(sz00)* -> .
% 6.80/6.98 12003[9:Spt:12001.0,2814.1] || -> aDivisorOf0(xq,smndt0(xa))*.
% 6.80/6.98 12009[9:Res:11856.0,12002.0] || -> SkP4(sz00,xa)*.
% 6.80/6.98 12010[9:Res:12009.0,6711.2] aInteger0(sz00) aInteger0(xa) || -> .
% 6.80/6.98 12011[9:SSi:12010.1,12010.0,3.0,11855.0,1.0] || -> .
% 6.80/6.98 12012[8:Spt:12011.0,2813.0,11855.0] || SkP5(xa)* -> .
% 6.80/6.98 12013[8:Spt:12011.0,2813.1] || -> aDivisorOf0(xq,sz00)*.
% 6.80/6.98 12014[8:MRR:2902.2,12013.0] aInteger0(u) SkP5(u) || -> SkP4(u,u)*.
% 6.80/6.98 12125[8:Res:12014.2,6711.2] aInteger0(u) SkP5(u) aInteger0(u) aInteger0(u) || -> .
% 6.80/6.98 12133[8:Obv:12125.2] SkP5(u) aInteger0(u) || -> .
% 6.80/6.98 12261[8:EmS:12133.0,12133.1,11868.0,10366.0] || -> .
% 6.80/6.98 12335[4:Spt:12261.0,61.0] || SkC0* -> .
% 6.80/6.98 12337[4:MRR:15.1,12335.0] || aElementOf0(skc4,cS1395)* -> .
% 6.80/6.98 12341[4:MRR:16.0,12335.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 12344[4:MRR:23.1,12335.0] aInteger0(u) || -> aElementOf0(u,cS1395)*.
% 6.80/6.98 12602[4:Res:12341.0,169.0] || -> aInteger0(skc4)*.
% 6.80/6.98 12648[4:Res:12344.1,12337.0] aInteger0(skc4) || -> .
% 6.80/6.98 12650[4:SSi:12648.0,12602.0] || -> .
% 6.80/6.98 12651[3:Spt:12650.0,154.3,154.4] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf20(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 12663[4:Spt:61.1,61.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> aInteger0(u).
% 6.80/6.98 12677[5:Spt:23.0,23.2] aInteger0(u) || -> aElementOf0(u,cS1395)*.
% 6.80/6.98 12681[6:Spt:77.0,77.2,77.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 12695[6:SpR:12681.2,35.1] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz10)** equal(smndt0(sz10),sz00).
% 6.80/6.98 12801[6:Rew:35.1,12695.2] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 12802[6:SSi:12801.0,52.0,1.2] aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 12884[7:Spt:91.0] || SkC0* -> .
% 6.80/6.98 12886[7:MRR:15.1,12884.0] || aElementOf0(skc4,cS1395)* -> .
% 6.80/6.98 12890[7:MRR:16.0,12884.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 12918[7:Res:12677.1,12886.0] aInteger0(skc4) || -> .
% 6.80/6.98 12941[7:Res:12890.0,169.0] || -> aInteger0(skc4)*.
% 6.80/6.98 12945[7:MRR:12941.0,12918.0] || -> .
% 6.80/6.98 12946[7:Spt:12945.0,91.0,12884.0] || -> SkC0*.
% 6.80/6.98 12947[7:Spt:12945.0,91.1,91.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 12954[7:MRR:28.0,12946.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 13041[7:Res:12954.0,12663.0] || -> aInteger0(skc2)*.
% 6.80/6.98 13552[7:EmS:12802.0,13041.0] || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 13564[8:Spt:13552.0] || -> equal(sz10,sz00)**.
% 6.80/6.98 13566[8:Rew:13564.0,32.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),u)**.
% 6.80/6.98 13715[8:Rew:34.1,13566.1] aInteger0(u) || -> equal(sz00,u)*.
% 6.80/6.98 13873[8:EmS:13715.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 13960[8:MRR:13873.0,13.0] || -> .
% 6.80/6.98 14060[8:Spt:13960.0,13552.0,13564.0] || equal(sz10,sz00)** -> .
% 6.80/6.98 14061[8:Spt:13960.0,13552.1] || -> equal(smndt0(sz10),sz00)**.
% 6.80/6.98 14066[8:Rew:14061.0,53.1] aInteger0(u) || -> equal(sdtasdt0(sz00,u),smndt0(u))**.
% 6.80/6.98 14067[8:Rew:35.1,14066.1] aInteger0(u) || -> equal(smndt0(u),sz00)**.
% 6.80/6.98 14069[8:Rew:14067.1,41.1] aInteger0(u) || -> equal(sdtpldt0(sz00,u),sz00)**.
% 6.80/6.98 14071[8:Rew:31.1,14069.1] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 14174[8:EmS:14071.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 14296[8:MRR:14174.0,13.0] || -> .
% 6.80/6.98 14395[6:Spt:14296.0,77.1] || -> isPrime0(skf31(u))*.
% 6.80/6.98 14396[7:Spt:91.0] || SkC0* -> .
% 6.80/6.98 14401[7:MRR:15.1,14396.0] || aElementOf0(skc4,cS1395)* -> .
% 6.80/6.98 14402[7:MRR:16.0,14396.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14430[7:Res:12677.1,14401.0] aInteger0(skc4) || -> .
% 6.80/6.98 14449[7:Res:14402.0,169.0] || -> aInteger0(skc4)*.
% 6.80/6.98 14450[7:MRR:14449.0,14430.0] || -> .
% 6.80/6.98 14451[7:Spt:14450.0,91.0,14396.0] || -> SkC0*.
% 6.80/6.98 14452[7:Spt:14450.0,91.1,91.2] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 14459[7:MRR:28.0,14451.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 14462[7:MRR:6709.0,14451.0] || aElementOf0(skf27(u),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> .
% 6.80/6.98 14464[7:MRR:81.1,14451.0] aInteger0(u) || -> equal(u,sz00) aElementOf0(skf27(u),szAzrzSzezqlpdtcmdtrp0(skc2,u))*.
% 6.80/6.98 14468[7:MRR:102.1,14451.0] aInteger0(u) || aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(skc2,u))* -> aInteger0(v) equal(u,sz00).
% 6.80/6.98 14472[7:MRR:101.1,14451.0] aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)).
% 6.80/6.98 14478[7:MRR:129.1,14451.0] aInteger0(u) || aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(skc2,u))*+ -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(v,smndt0(skc2)))*.
% 6.80/6.98 14517[8:Spt:111.1] || -> SkP5(u)*.
% 6.80/6.98 14526[8:MRR:118.0,14517.0] aInteger0(u) || equal(sdtasdt0(xq,u),sdtpldt0(v,smndt0(w)))* -> SkP4(v,w).
% 6.80/6.98 14538[7:Res:14459.0,14452.0] || aElementOf0(skc2,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 14558[7:Res:14459.0,12663.0] || -> aInteger0(skc2)*.
% 6.80/6.98 14783[7:Res:14472.1,14462.0] aInteger0(skf27(u)) || -> aElementOf0(skf27(u),szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14806[7:Res:14464.2,14468.1] aInteger0(u) aInteger0(u) || -> equal(u,sz00) aInteger0(skf27(u))* equal(u,sz00).
% 6.80/6.98 14807[7:Obv:14806.2] aInteger0(u) || -> aInteger0(skf27(u))* equal(u,sz00).
% 6.80/6.98 14812[7:SoR:14783.0,14807.1] aInteger0(u) || -> aElementOf0(skf27(u),szAzrzSzezqlpdtcmdtrp0(xa,xq))* equal(u,sz00).
% 6.80/6.98 14816[7:Res:14812.1,171.0] aInteger0(u) || -> equal(u,sz00) aDivisorOf0(xq,sdtpldt0(skf27(u),smndt0(xa)))*.
% 6.80/6.98 14848[0:SpL:31.1,174.1] aInteger0(smndt0(xa)) aInteger0(sz00) || aDivisorOf0(xq,smndt0(xa)) -> aElementOf0(sz00,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14851[0:SpL:40.1,174.1] aInteger0(xa) aInteger0(xa) || aDivisorOf0(xq,sz00) -> aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14855[0:Obv:14851.0] aInteger0(xa) || aDivisorOf0(xq,sz00) -> aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14856[0:SSi:14855.0,3.0] || aDivisorOf0(xq,sz00) -> aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14857[0:SSi:14848.1,14848.0,1.0,18.1,3.0] || aDivisorOf0(xq,smndt0(xa)) -> aElementOf0(sz00,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 6.80/6.98 14865[0:Res:14856.1,171.0] || aDivisorOf0(xq,sz00) -> aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))*.
% 6.80/6.98 14870[0:Res:14856.1,173.2] aInteger0(u) || aDivisorOf0(xq,sz00) SkP4(xa,u)* -> .
% 6.80/6.98 14892[0:Res:14857.1,171.0] || aDivisorOf0(xq,smndt0(xa)) -> aDivisorOf0(xq,sdtpldt0(sz00,smndt0(xa)))*.
% 6.80/6.98 14897[0:Res:14857.1,173.2] aInteger0(u) || aDivisorOf0(xq,smndt0(xa))*+ SkP4(sz00,u)* -> .
% 6.80/6.98 14913[8:SpL:34.1,14526.1] aInteger0(xq) aInteger0(sz00) || equal(sdtpldt0(u,smndt0(v)),sz00)** -> SkP4(u,v).
% 6.80/6.98 14924[8:SSi:14913.1,14913.0,1.0,4.0] || equal(sdtpldt0(u,smndt0(v)),sz00)** -> SkP4(u,v).
% 6.80/6.98 14935[8:SpL:40.1,14924.0] aInteger0(u) || equal(sz00,sz00) -> SkP4(u,u)*.
% 6.80/6.98 14937[8:Obv:14935.1] aInteger0(u) || -> SkP4(u,u)*.
% 6.80/6.98 15008[8:Res:14937.1,100.2] aInteger0(u) aInteger0(u) aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 15012[8:Obv:15008.1] aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 15023[8:Res:15012.1,14462.0] aInteger0(skf27(u)) || -> .
% 6.80/6.98 15024[8:MRR:14807.1,15023.0] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 15092[8:EmS:15024.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 15181[8:MRR:15092.0,13.0] || -> .
% 6.80/6.98 15350[8:Spt:15181.0,111.0,111.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 15366[9:Spt:2813.0] || -> SkP5(xa)*.
% 6.80/6.98 15378[7:Res:25.1,14538.0] || -> SkP5(skc2)*.
% 6.80/6.98 15619[0:Res:14865.1,73.1] SkP5(xa) || aDivisorOf0(xq,sz00) -> SkP4(xa,xa)*.
% 6.80/6.98 15620[0:Res:14892.1,73.1] SkP5(xa) || aDivisorOf0(xq,smndt0(xa))* -> SkP4(sz00,xa).
% 6.80/6.98 15978[7:Res:14816.2,73.1] aInteger0(u) SkP5(xa) || -> equal(u,sz00) SkP4(skf27(u),xa)*.
% 6.80/6.98 15979[9:SSi:15978.1,3.0,15366.0] aInteger0(u) || -> equal(u,sz00) SkP4(skf27(u),xa)*.
% 6.80/6.98 15982[9:Res:15979.2,100.2] aInteger0(u) aInteger0(skf27(u)) aInteger0(xa) || -> equal(u,sz00) aElementOf0(skf27(u),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 15985[9:SSi:15982.2,3.0,15366.0] aInteger0(u) aInteger0(skf27(u)) || -> equal(u,sz00) aElementOf0(skf27(u),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 15986[9:MRR:15985.1,15985.3,14807.1,14462.0] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 16018[9:EmS:15986.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 16286[9:MRR:16018.0,13.0] || -> .
% 6.80/6.98 16670[9:Spt:16286.0,2813.0,15366.0] || SkP5(xa)* -> .
% 6.80/6.98 16671[9:Spt:16286.0,2813.1] || -> aDivisorOf0(xq,sz00)*.
% 6.80/6.98 16687[9:MRR:2902.2,16671.0] aInteger0(u) SkP5(u) || -> SkP4(u,u)*.
% 6.80/6.98 17347[9:Res:16687.2,100.2] aInteger0(u) SkP5(u) aInteger0(u) aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 17355[9:Obv:17347.2] SkP5(u) aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 17404[9:Res:17355.2,14462.0] SkP5(skf27(u)) aInteger0(skf27(u)) || -> .
% 6.80/6.98 17479[7:Res:14464.2,14478.1] aInteger0(u) aInteger0(u) || -> equal(u,sz00) equal(u,sz00) aDivisorOf0(u,sdtpldt0(skf27(u),smndt0(skc2)))*.
% 6.80/6.98 17480[7:Obv:17479.2] aInteger0(u) || -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(skf27(u),smndt0(skc2)))*.
% 6.80/6.98 17568[0:SpL:34.1,118.2] aInteger0(xq) SkP5(u) aInteger0(sz00) || equal(sdtpldt0(v,smndt0(u)),sz00)** -> SkP4(v,u).
% 6.80/6.98 18630[0:Res:76.3,149.3] aInteger0(u) aInteger0(v) aInteger0(u) aInteger0(v) aInteger0(v) || -> equal(u,sz00) equal(u,sz00) aDivisorOf0(u,sdtpldt0(v,smndt0(v)))*.
% 6.80/6.98 18647[0:Obv:18630.5] aInteger0(u) aInteger0(v) || -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(v,smndt0(v)))*.
% 6.80/6.98 18648[0:Rew:40.1,18647.3] aInteger0(u) aInteger0(v) || -> equal(u,sz00) aDivisorOf0(u,sz00)*.
% 6.80/6.98 18649[0:Con:18648.1] aInteger0(u) || -> equal(u,sz00) aDivisorOf0(u,sz00)*.
% 6.80/6.98 19616[7:Res:17480.2,73.1] aInteger0(xq) SkP5(skc2) || -> equal(xq,sz00) SkP4(skf27(xq),skc2)*.
% 6.80/6.98 19619[7:SSi:19616.1,19616.0,15378.0,14558.0,4.0] || -> equal(xq,sz00) SkP4(skf27(xq),skc2)*.
% 6.80/6.98 19620[7:MRR:19619.0,13.0] || -> SkP4(skf27(xq),skc2)*.
% 6.80/6.98 19626[7:Res:19620.0,2846.1] aInteger0(skc2) || -> SkP5(skf27(xq))*.
% 6.80/6.98 19627[7:SSi:19626.0,15378.0,14558.0] || -> SkP5(skf27(xq))*.
% 6.80/6.98 19631[9:SoR:17404.0,17404.1,19627.0,14807.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 19634[9:SSi:19631.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 19635[9:MRR:19634.0,13.0] || -> .
% 6.80/6.98 19636[5:Spt:19635.0,23.1] || -> SkC0*.
% 6.80/6.98 19639[5:MRR:28.0,19636.0] || -> aElementOf0(skc2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 6.80/6.98 19641[5:MRR:6709.0,19636.0] || aElementOf0(skf27(u),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* -> .
% 6.80/6.98 19643[5:MRR:81.1,19636.0] aInteger0(u) || -> equal(u,sz00) aElementOf0(skf27(u),szAzrzSzezqlpdtcmdtrp0(skc2,u))*.
% 6.80/6.98 19647[5:MRR:91.0,19636.0] || aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))* aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) -> .
% 6.80/6.98 19650[5:MRR:102.1,19636.0] aInteger0(u) || aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(skc2,u))* -> aInteger0(v) equal(u,sz00).
% 6.80/6.98 19668[0:SSi:17568.2,17568.0,1.0,4.0] SkP5(u) || equal(sdtpldt0(v,smndt0(u)),sz00)** -> SkP4(v,u).
% 6.80/6.98 19677[5:MRR:129.1,19636.0] aInteger0(u) || aElementOf0(v,szAzrzSzezqlpdtcmdtrp0(skc2,u))*+ -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(v,smndt0(skc2)))*.
% 6.80/6.98 19745[6:Spt:77.0,77.2,77.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 6.80/6.98 19766[6:SpR:19745.2,35.1] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz10)** equal(smndt0(sz10),sz00).
% 6.80/6.98 19874[6:SpR:19745.2,11.0] aInteger0(skf30(u,v)) || -> equal(skf30(u,v),sz10)** aInteger0(smndt0(sz10)).
% 6.80/6.98 19998[6:SSi:19874.0,11.0] || -> equal(skf30(u,v),sz10)** aInteger0(smndt0(sz10)).
% 6.80/6.98 20014[6:Rew:35.1,19766.2] aInteger0(sdtasdt0(sz00,u)) aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 20015[6:SSi:20014.0,52.0,1.2] aInteger0(u) || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 20346[5:Res:19639.0,12663.0] || -> aInteger0(skc2)*.
% 6.80/6.98 20904[7:Spt:19998.0] || -> equal(skf30(u,v),sz10)**.
% 6.80/6.98 20907[7:Rew:20904.0,84.2] aInteger0(u) || aDivisorOf0(v,u)*+ -> equal(sdtasdt0(v,sz10),u)*.
% 6.80/6.98 20925[7:Res:18649.2,20907.1] aInteger0(u) aInteger0(sz00) || -> equal(u,sz00) equal(sdtasdt0(u,sz10),sz00)**.
% 6.80/6.98 20926[7:Rew:32.1,20925.3] aInteger0(u) aInteger0(sz00) || -> equal(u,sz00)* equal(u,sz00)*.
% 6.80/6.98 20927[7:Obv:20926.2] aInteger0(u) aInteger0(sz00) || -> equal(u,sz00)*.
% 6.80/6.98 20928[7:SSi:20927.1,1.0] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 21086[7:EmS:20928.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 21334[7:MRR:21086.0,13.0] || -> .
% 6.80/6.98 21744[7:Spt:21334.0,19998.1] || -> aInteger0(smndt0(sz10))*.
% 6.80/6.98 21842[6:EmS:20015.0,11.0] || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 6.80/6.98 21852[8:Spt:21842.0] || -> equal(sz10,sz00)**.
% 6.80/6.98 21869[8:Rew:21852.0,32.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),u)**.
% 6.80/6.98 22083[8:Rew:34.1,21869.1] aInteger0(u) || -> equal(sz00,u)*.
% 6.80/6.98 22476[8:EmS:22083.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 22612[8:MRR:22476.0,13.0] || -> .
% 6.80/6.98 22750[8:Spt:22612.0,21842.0,21852.0] || equal(sz10,sz00)** -> .
% 6.80/6.98 22751[8:Spt:22612.0,21842.1] || -> equal(smndt0(sz10),sz00)**.
% 6.80/6.98 22757[8:Rew:22751.0,53.1] aInteger0(u) || -> equal(sdtasdt0(sz00,u),smndt0(u))**.
% 6.80/6.98 22758[8:Rew:35.1,22757.1] aInteger0(u) || -> equal(smndt0(u),sz00)**.
% 6.80/6.98 22760[8:Rew:22758.1,40.1] aInteger0(u) || -> equal(sdtpldt0(u,sz00),sz00)**.
% 6.80/6.98 22762[8:Rew:30.1,22760.1] aInteger0(u) || -> equal(u,sz00)*.
% 6.80/6.98 23013[8:EmS:22762.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 23176[8:MRR:23013.0,13.0] || -> .
% 6.80/6.98 23357[6:Spt:23176.0,77.1] || -> isPrime0(skf31(u))*.
% 6.80/6.98 23358[7:Spt:111.1] || -> SkP5(u)*.
% 6.80/6.98 23361[7:MRR:19668.0,23358.0] || equal(sdtpldt0(u,smndt0(v)),sz00)** -> SkP4(u,v).
% 6.80/6.98 23518[7:SpL:40.1,23361.0] aInteger0(u) || equal(sz00,sz00) -> SkP4(u,u)*.
% 6.80/6.98 23519[7:Obv:23518.1] aInteger0(u) || -> SkP4(u,u)*.
% 6.80/6.98 23556[5:Res:19639.0,19647.0] || aElementOf0(skc2,szAzrzSzezqlpdtcmdtrp0(xa,xq))* -> .
% 6.80/6.98 23651[7:Res:23519.1,14870.2] aInteger0(xa) aInteger0(xa) || aDivisorOf0(xq,sz00)* -> .
% 6.80/6.98 23652[7:Obv:23651.0] aInteger0(xa) || aDivisorOf0(xq,sz00)* -> .
% 6.80/6.98 23653[7:SSi:23652.0,3.0] || aDivisorOf0(xq,sz00)* -> .
% 6.80/6.98 23693[7:Res:18649.2,23653.0] aInteger0(xq) || -> equal(xq,sz00)**.
% 6.80/6.98 23694[7:SSi:23693.0,4.0] || -> equal(xq,sz00)**.
% 6.80/6.98 23695[7:MRR:23694.0,13.0] || -> .
% 6.80/6.98 23696[7:Spt:23695.0,111.0,111.2] || aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))*+ -> equal(sdtasdt0(xq,skf29(u)),sdtpldt0(u,smndt0(xa)))**.
% 6.80/6.98 23710[8:Spt:2813.0] || -> SkP5(xa)*.
% 6.80/6.98 23712[8:MRR:15619.0,23710.0] || aDivisorOf0(xq,sz00) -> SkP4(xa,xa)*.
% 6.80/6.98 23713[8:MRR:15620.0,23710.0] || aDivisorOf0(xq,smndt0(xa))* -> SkP4(sz00,xa).
% 6.80/6.98 23720[5:Res:25.1,23556.0] || -> SkP5(skc2)*.
% 6.80/6.98 23722[9:Spt:2814.1] || -> aDivisorOf0(xq,smndt0(xa))*.
% 6.80/6.98 23729[9:MRR:14897.1,23722.0] aInteger0(u) || SkP4(sz00,u)* -> .
% 6.80/6.98 23737[9:MRR:23713.0,23722.0] || -> SkP4(sz00,xa)*.
% 6.80/6.98 23770[9:Res:23737.0,23729.1] aInteger0(xa) || -> .
% 6.80/6.98 23771[9:SSi:23770.0,3.0,23710.0] || -> .
% 6.80/6.98 23772[9:Spt:23771.0,2814.1,23722.0] || aDivisorOf0(xq,smndt0(xa))* -> .
% 6.80/6.98 23773[9:Spt:23771.0,2814.0] || -> SkP5(sz00)*.
% 6.80/6.98 23776[10:Spt:2815.1] || -> aDivisorOf0(xq,sz00)*.
% 6.80/6.98 23777[10:MRR:23712.0,23776.0] || -> SkP4(xa,xa)*.
% 6.80/6.98 23790[10:MRR:14870.1,23776.0] aInteger0(u) || SkP4(xa,u)* -> .
% 6.80/6.98 23839[5:Res:19643.2,19650.1] aInteger0(u) aInteger0(u) || -> equal(u,sz00) aInteger0(skf27(u))* equal(u,sz00).
% 6.80/6.98 23840[5:Obv:23839.2] aInteger0(u) || -> aInteger0(skf27(u))* equal(u,sz00).
% 6.80/6.98 23880[10:Res:23777.0,23790.1] aInteger0(xa) || -> .
% 6.80/6.98 23881[10:SSi:23880.0,3.0,23710.0] || -> .
% 8.54/8.72 23882[10:Spt:23881.0,2815.1,23776.0] || aDivisorOf0(xq,sz00)* -> .
% 8.54/8.72 23883[10:Spt:23881.0,2815.0] || -> SkP5(smndt0(smndt0(xa)))*.
% 8.54/8.72 23884[10:Res:18649.2,23882.0] aInteger0(xq) || -> equal(xq,sz00)**.
% 8.54/8.72 23885[10:SSi:23884.0,4.0] || -> equal(xq,sz00)**.
% 8.54/8.72 23886[10:MRR:23885.0,13.0] || -> .
% 8.54/8.72 23887[8:Spt:23886.0,2813.0,23710.0] || SkP5(xa)* -> .
% 8.54/8.72 23888[8:Spt:23886.0,2813.1] || -> aDivisorOf0(xq,sz00)*.
% 8.54/8.72 23905[8:MRR:2902.2,23888.0] aInteger0(u) SkP5(u) || -> SkP4(u,u)*.
% 8.54/8.72 24086[5:Res:19643.2,19677.1] aInteger0(u) aInteger0(u) || -> equal(u,sz00) equal(u,sz00) aDivisorOf0(u,sdtpldt0(skf27(u),smndt0(skc2)))*.
% 8.54/8.72 24087[5:Obv:24086.2] aInteger0(u) || -> equal(u,sz00) aDivisorOf0(u,sdtpldt0(skf27(u),smndt0(skc2)))*.
% 8.54/8.72 24135[8:Res:23905.2,100.2] aInteger0(u) SkP5(u) aInteger0(u) aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 8.54/8.72 24143[8:Obv:24135.2] SkP5(u) aInteger0(u) || -> aElementOf0(u,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))*.
% 8.54/8.72 25429[8:Res:24143.2,19641.0] SkP5(skf27(u)) aInteger0(skf27(u)) || -> .
% 8.54/8.72 29213[5:Res:24087.2,73.1] aInteger0(xq) SkP5(skc2) || -> equal(xq,sz00) SkP4(skf27(xq),skc2)*.
% 8.54/8.72 29216[5:SSi:29213.1,29213.0,23720.0,20346.0,4.0] || -> equal(xq,sz00) SkP4(skf27(xq),skc2)*.
% 8.54/8.72 29217[5:MRR:29216.0,13.0] || -> SkP4(skf27(xq),skc2)*.
% 8.54/8.72 29222[5:Res:29217.0,2846.1] aInteger0(skc2) || -> SkP5(skf27(xq))*.
% 8.54/8.72 29224[5:SSi:29222.0,23720.0,20346.0] || -> SkP5(skf27(xq))*.
% 8.54/8.72 29228[8:SoR:25429.0,25429.1,29224.0,23840.1] aInteger0(xq) || -> equal(xq,sz00)**.
% 8.54/8.72 29231[8:SSi:29228.0,4.0] || -> equal(xq,sz00)**.
% 8.54/8.72 29232[8:MRR:29231.0,13.0] || -> .
% 8.54/8.72 29233[4:Spt:29232.0,61.0] || SkC0* -> .
% 8.54/8.72 29235[4:MRR:15.1,29233.0] || aElementOf0(skc4,cS1395)* -> .
% 8.54/8.72 29239[4:MRR:16.0,29233.0] || -> aElementOf0(skc4,szAzrzSzezqlpdtcmdtrp0(xa,xq))*.
% 8.54/8.72 29241[4:MRR:23.1,29233.0] aInteger0(u) || -> aElementOf0(u,cS1395)*.
% 8.54/8.72 29863[4:Res:29239.0,169.0] || -> aInteger0(skc4)*.
% 8.54/8.72 29902[4:Res:29241.1,29235.0] aInteger0(skc4) || -> .
% 8.54/8.72 29903[4:SSi:29902.0,29863.0] || -> .
% 8.54/8.72 % SZS output end Refutation
% 8.54/8.72 Formulae used in the proof : mIntZero mIntOne m__1962 m__ mDivisor mIntNeg mAddZero mMulOne mMulZero mAddNeg mIntPlus mIntMult mMulMinOne mAddComm mEquModRef mPrimeDivisor mEquMod
% 8.54/8.72
%------------------------------------------------------------------------------