TSTP Solution File: NUM448+5 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM448+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 14:26:17 EDT 2022
% Result : Theorem 1.58s 1.74s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM448+5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 18:31:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.58/1.74
% 1.58/1.74 SPASS V 3.9
% 1.58/1.74 SPASS beiseite: Proof found.
% 1.58/1.74 % SZS status Theorem
% 1.58/1.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.58/1.74 SPASS derived 3833 clauses, backtracked 2110 clauses, performed 61 splits and kept 4170 clauses.
% 1.58/1.74 SPASS allocated 101239 KBytes.
% 1.58/1.74 SPASS spent 0:00:01.39 on the problem.
% 1.58/1.74 0:00:00.03 for the input.
% 1.58/1.74 0:00:00.21 for the FLOTTER CNF translation.
% 1.58/1.74 0:00:00.02 for inferences.
% 1.58/1.74 0:00:00.02 for the backtracking.
% 1.58/1.74 0:00:00.99 for the reduction.
% 1.58/1.74
% 1.58/1.74
% 1.58/1.74 Here is a proof with depth 6, length 298 :
% 1.58/1.74 % SZS output start Refutation
% 1.58/1.74 1[0:Inp] || -> aInteger0(sz00)*.
% 1.58/1.74 2[0:Inp] || -> aInteger0(sz10)*.
% 1.58/1.74 4[0:Inp] || -> aInteger0(skf22(u))*.
% 1.58/1.74 5[0:Inp] || -> aInteger0(skf21(u))*.
% 1.58/1.74 7[0:Inp] || -> aInteger0(skf40(u))*.
% 1.58/1.74 15[0:Inp] aInteger0(u) || -> aInteger0(smndt0(u))*.
% 1.58/1.74 18[0:Inp] || aElementOf0(u,sbsmnsldt0(xS))*+ -> SkP4(u)*.
% 1.58/1.74 21[0:Inp] || aElementOf0(u,xS) -> isPrime0(skf40(u))*.
% 1.58/1.74 22[0:Inp] || aElementOf0(u,stldt0(sbsmnsldt0(xS)))* -> aInteger0(u).
% 1.58/1.74 23[0:Inp] aInteger0(u) || -> equal(sdtpldt0(u,sz00),u)**.
% 1.58/1.74 24[0:Inp] aInteger0(u) || -> equal(sdtpldt0(sz00,u),u)**.
% 1.58/1.74 25[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 1.58/1.74 26[0:Inp] aInteger0(u) || -> equal(sdtasdt0(sz10,u),u)**.
% 1.58/1.74 27[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,sz00),sz00)**.
% 1.58/1.74 28[0:Inp] aInteger0(u) || -> equal(sdtasdt0(sz00,u),sz00)**.
% 1.58/1.74 31[0:Inp] aInteger0(u) SkP4(u) || -> isPrime0(skf21(u))*.
% 1.58/1.74 32[0:Inp] || aElementOf0(u,sbsmnsldt0(xS))*+ -> aElementOf0(skf24(v),xS)*.
% 1.58/1.74 34[0:Inp] isPrime0(u) || aDivisorOf0(u,v)*+ -> SkP5(v)*.
% 1.58/1.74 35[0:Inp] aInteger0(u) || -> equal(sdtpldt0(u,smndt0(u)),sz00)**.
% 1.58/1.74 36[0:Inp] aInteger0(u) || -> equal(sdtpldt0(smndt0(u),u),sz00)**.
% 1.58/1.74 42[0:Inp] || aElementOf0(u,xS) equal(skf40(u),sz00)** -> .
% 1.58/1.74 44[0:Inp] aInteger0(u) SkP4(u) || -> aDivisorOf0(skf21(u),u)*.
% 1.58/1.74 45[0:Inp] aInteger0(u) SkP5(u) || -> aElementOf0(skf23(v),xS)*.
% 1.58/1.74 47[0:Inp] aInteger0(u) SkP5(u) || -> aElementOf0(u,sbsmnsldt0(xS))*.
% 1.58/1.74 48[0:Inp] || equal(skc3,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.74 52[0:Inp] aInteger0(u) || -> equal(sdtasdt0(smndt0(sz10),u),smndt0(u))**.
% 1.58/1.74 53[0:Inp] aInteger0(u) || -> equal(sdtasdt0(u,smndt0(sz10)),smndt0(u))**.
% 1.58/1.74 61[0:Inp] aInteger0(u) SkP4(u) || equal(skf21(u),sz00)** -> .
% 1.58/1.74 62[0:Inp] || aElementOf0(u,sbsmnsldt0(xS)) aElementOf0(u,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.74 63[0:Inp] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* equal(smndt0(sz10),skc3) -> .
% 1.58/1.74 69[0:Inp] || -> equal(skc3,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* equal(smndt0(sz10),skc3).
% 1.58/1.74 70[0:Inp] aInteger0(u) || -> aElementOf0(u,sbsmnsldt0(xS)) aElementOf0(u,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.74 71[0:Inp] aInteger0(u) SkP4(u) || -> equal(sdtasdt0(skf21(u),skf22(u)),u)**.
% 1.58/1.74 75[0:Inp] aInteger0(u) || -> isPrime0(skf26(v))* equal(u,sz10) equal(u,smndt0(sz10))*.
% 1.58/1.74 80[0:Inp] aInteger0(u) isPrime0(v) || aDivisorOf0(v,u)* equal(u,sz10) -> .
% 1.58/1.74 81[0:Inp] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10)) aDivisorOf0(skf26(u),u)*.
% 1.58/1.74 87[0:Inp] aInteger0(u) isPrime0(v) || aDivisorOf0(v,u)* equal(u,smndt0(sz10))* -> .
% 1.58/1.74 116[0:Inp] isPrime0(u) aInteger0(v) aInteger0(u) || equal(sdtasdt0(u,v),w)* -> SkP5(w)* equal(u,sz00).
% 1.58/1.74 258[0:Res:5.0,75.0] || -> isPrime0(skf26(u))* equal(skf21(v),sz10) equal(skf21(v),smndt0(sz10))**.
% 1.58/1.74 272[0:Res:5.0,53.0] || -> equal(sdtasdt0(skf21(u),smndt0(sz10)),smndt0(skf21(u)))**.
% 1.58/1.74 376[0:Res:4.0,75.0] || -> isPrime0(skf26(u))* equal(skf22(v),sz10) equal(skf22(v),smndt0(sz10))**.
% 1.58/1.74 389[0:Res:4.0,52.0] || -> equal(sdtasdt0(smndt0(sz10),skf22(u)),smndt0(skf22(u)))**.
% 1.58/1.74 448[0:Res:2.0,31.1] SkP4(sz10) || -> isPrime0(skf21(sz10))*.
% 1.58/1.74 449[0:Res:1.0,31.1] SkP4(sz00) || -> isPrime0(skf21(sz00))*.
% 1.58/1.74 458[0:Res:1.0,47.1] SkP5(sz00) || -> aElementOf0(sz00,sbsmnsldt0(xS))*.
% 1.58/1.74 476[0:Res:1.0,45.1] SkP5(sz00) || -> aElementOf0(skf23(u),xS)*.
% 1.58/1.74 484[0:Res:2.0,44.1] SkP4(sz10) || -> aDivisorOf0(skf21(sz10),sz10)*.
% 1.58/1.74 485[0:Res:1.0,44.1] SkP4(sz00) || -> aDivisorOf0(skf21(sz00),sz00)*.
% 1.58/1.74 494[0:Res:1.0,61.1] SkP4(sz00) || equal(skf21(sz00),sz00)** -> .
% 1.58/1.74 502[0:Res:2.0,70.0] || -> aElementOf0(sz10,sbsmnsldt0(xS)) aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.74 512[0:Res:1.0,71.1] SkP4(sz00) || -> equal(sdtasdt0(skf21(sz00),skf22(sz00)),sz00)**.
% 1.58/1.74 530[0:Res:1.0,116.1] aInteger0(u) isPrime0(u) || equal(sdtasdt0(u,sz00),v)* -> equal(u,sz00) SkP5(v)*.
% 1.58/1.74 540[0:Rew:27.1,530.2] isPrime0(u) aInteger0(u) || equal(sz00,v)+ -> SkP5(v)* equal(u,sz00)*.
% 1.58/1.74 674[1:Spt:540.0,540.1,540.4] isPrime0(u) aInteger0(u) || -> equal(u,sz00)*.
% 1.58/1.74 681[2:Spt:75.0,75.2,75.3] aInteger0(u) || -> equal(u,sz10) equal(u,smndt0(sz10))*.
% 1.58/1.74 687[3:Spt:32.0] || aElementOf0(u,sbsmnsldt0(xS))* -> .
% 1.58/1.74 689[3:MRR:70.1,687.0] aInteger0(u) || -> aElementOf0(u,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.74 693[3:MRR:502.0,687.0] || -> aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.74 726[4:Spt:69.2] || -> equal(smndt0(sz10),skc3)**.
% 1.58/1.74 730[4:Rew:726.0,63.1] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* equal(skc3,skc3) -> .
% 1.58/1.74 744[4:Obv:730.1] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.74 747[4:SpR:726.0,15.1] aInteger0(sz10) || -> aInteger0(skc3)*.
% 1.58/1.74 748[4:SSi:747.0,2.0] || -> aInteger0(skc3)*.
% 1.58/1.74 749[1:EmS:674.0,674.1,21.1,7.0] || aElementOf0(u,xS) -> equal(skf40(u),sz00)**.
% 1.58/1.74 750[1:MRR:749.1,42.1] || aElementOf0(u,xS)* -> .
% 1.58/1.74 786[4:Res:689.1,744.0] aInteger0(skc3) || -> .
% 1.58/1.74 788[4:SSi:786.0,748.0] || -> .
% 1.58/1.74 789[4:Spt:788.0,69.2,726.0] || equal(smndt0(sz10),skc3)** -> .
% 1.58/1.74 790[4:Spt:788.0,69.0,69.1] || -> equal(skc3,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.74 791[5:Spt:790.0] || -> equal(skc3,sz10)**.
% 1.58/1.74 793[5:Rew:791.0,48.0] || equal(sz10,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.74 794[5:Obv:793.0] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.74 795[5:Rew:791.0,794.0] || aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.74 796[5:MRR:795.0,693.0] || -> .
% 1.58/1.74 797[5:Spt:796.0,790.0,791.0] || equal(skc3,sz10)** -> .
% 1.58/1.74 798[5:Spt:796.0,790.1] || -> aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.74 799[5:Res:798.0,22.0] || -> aInteger0(skc3)*.
% 1.58/1.74 1485[4:SpL:681.2,789.0] aInteger0(u) || equal(u,skc3)* -> equal(u,sz10).
% 1.58/1.74 1745[5:EmS:1485.0,799.0] || equal(skc3,skc3)* -> equal(skc3,sz10).
% 1.58/1.74 1747[5:Obv:1745.0] || -> equal(skc3,sz10)**.
% 1.58/1.74 1748[5:MRR:1747.0,797.0] || -> .
% 1.58/1.74 1750[3:Spt:1748.0,32.1] || -> aElementOf0(skf24(u),xS)*.
% 1.58/1.74 1751[3:MRR:1750.0,750.0] || -> .
% 1.58/1.75 1761[1:MRR:45.2,750.0] aInteger0(u) SkP5(u) || -> .
% 1.58/1.75 1773[2:Spt:1751.0,75.1] || -> isPrime0(skf26(u))*.
% 1.58/1.75 1774[1:MRR:32.1,750.0] || aElementOf0(u,sbsmnsldt0(xS))* -> .
% 1.58/1.75 1775[1:MRR:70.1,1774.0] aInteger0(u) || -> aElementOf0(u,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 1778[1:MRR:502.0,1774.0] || -> aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 1787[3:Spt:69.2] || -> equal(smndt0(sz10),skc3)**.
% 1.58/1.75 1803[3:Rew:1787.0,63.1] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* equal(skc3,skc3) -> .
% 1.58/1.75 1808[3:Obv:1803.1] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 1809[3:SpR:1787.0,15.1] aInteger0(sz10) || -> aInteger0(skc3)*.
% 1.58/1.75 1813[3:SSi:1809.0,2.0] || -> aInteger0(skc3)*.
% 1.58/1.75 1854[3:Res:1775.1,1808.0] aInteger0(skc3) || -> .
% 1.58/1.75 1855[3:SSi:1854.0,1813.0] || -> .
% 1.58/1.75 1856[3:Spt:1855.0,69.2,1787.0] || equal(smndt0(sz10),skc3)** -> .
% 1.58/1.75 1857[3:Spt:1855.0,69.0,69.1] || -> equal(skc3,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 1858[4:Spt:1857.0] || -> equal(skc3,sz10)**.
% 1.58/1.75 1860[4:Rew:1858.0,48.0] || equal(sz10,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 1861[4:Obv:1860.0] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 1862[4:Rew:1858.0,1861.0] || aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 1863[4:MRR:1862.0,1778.0] || -> .
% 1.58/1.75 1864[4:Spt:1863.0,1857.0,1858.0] || equal(skc3,sz10)** -> .
% 1.58/1.75 1865[4:Spt:1863.0,1857.1] || -> aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 1866[4:Res:1865.0,22.0] || -> aInteger0(skc3)*.
% 1.58/1.75 1867[4:EmS:1761.0,1761.1,1866.0,34.2] isPrime0(u) || aDivisorOf0(u,skc3)* -> .
% 1.58/1.75 2653[4:Res:81.3,1867.1] aInteger0(skc3) isPrime0(skf26(skc3)) || -> equal(skc3,sz10) equal(smndt0(sz10),skc3)**.
% 1.58/1.75 2794[4:SSi:2653.1,2653.0,1773.0,1866.0,1866.0] || -> equal(skc3,sz10) equal(smndt0(sz10),skc3)**.
% 1.58/1.75 2795[4:MRR:2794.0,1864.0] || -> equal(smndt0(sz10),skc3)**.
% 1.58/1.75 2796[4:MRR:2795.0,1856.0] || -> .
% 1.58/1.75 2801[1:Spt:2796.0,540.2,540.3] || equal(sz00,u) -> SkP5(u)*.
% 1.58/1.75 2862[2:Spt:376.1,376.2] || -> equal(skf22(u),sz10) equal(skf22(u),smndt0(sz10))**.
% 1.58/1.75 2867[3:Spt:258.1,258.2] || -> equal(skf21(u),sz10) equal(skf21(u),smndt0(sz10))**.
% 1.58/1.75 2922[4:Spt:32.0] || aElementOf0(u,sbsmnsldt0(xS))* -> .
% 1.58/1.75 2929[4:MRR:458.1,2922.0] SkP5(sz00) || -> .
% 1.58/1.75 3033[4:SoR:2929.0,2801.1] || equal(sz00,sz00)* -> .
% 1.58/1.75 3035[4:Obv:3033.0] || -> .
% 1.58/1.75 3036[4:Spt:3035.0,32.1] || -> aElementOf0(skf24(u),xS)*.
% 1.58/1.75 3037[5:Spt:69.2] || -> equal(smndt0(sz10),skc3)**.
% 1.58/1.75 3038[5:Rew:3037.0,2867.1] || -> equal(skf21(u),sz10) equal(skf21(u),skc3)**.
% 1.58/1.75 3039[5:Rew:3037.0,2862.1] || -> equal(skf22(u),sz10) equal(skf22(u),skc3)**.
% 1.58/1.75 3043[5:Rew:3037.0,389.0] || -> equal(sdtasdt0(skc3,skf22(u)),smndt0(skf22(u)))**.
% 1.58/1.75 3045[5:Rew:3037.0,272.0] || -> equal(sdtasdt0(skf21(u),skc3),smndt0(skf21(u)))**.
% 1.58/1.75 3049[5:Rew:3037.0,53.1] aInteger0(u) || -> equal(sdtasdt0(u,skc3),smndt0(u))**.
% 1.58/1.75 3106[0:SoR:484.0,18.1] || aElementOf0(sz10,sbsmnsldt0(xS)) -> aDivisorOf0(skf21(sz10),sz10)*.
% 1.58/1.75 3107[0:SoR:448.0,18.1] || aElementOf0(sz10,sbsmnsldt0(xS)) -> isPrime0(skf21(sz10))*.
% 1.58/1.75 3108[0:SoR:485.0,18.1] || aElementOf0(sz00,sbsmnsldt0(xS)) -> aDivisorOf0(skf21(sz00),sz00)*.
% 1.58/1.75 3109[0:SoR:449.0,18.1] || aElementOf0(sz00,sbsmnsldt0(xS)) -> isPrime0(skf21(sz00))*.
% 1.58/1.75 3122[1:SoR:458.0,2801.1] || equal(sz00,sz00) -> aElementOf0(sz00,sbsmnsldt0(xS))*.
% 1.58/1.75 3124[1:Obv:3122.0] || -> aElementOf0(sz00,sbsmnsldt0(xS))*.
% 1.58/1.75 3125[1:MRR:3109.0,3124.0] || -> isPrime0(skf21(sz00))*.
% 1.58/1.75 3126[1:MRR:3108.0,3124.0] || -> aDivisorOf0(skf21(sz00),sz00)*.
% 1.58/1.75 3127[1:Res:3124.0,18.0] || -> SkP4(sz00)*.
% 1.58/1.75 3128[1:MRR:494.0,3127.0] || equal(skf21(sz00),sz00)** -> .
% 1.58/1.75 3129[1:MRR:512.0,3127.0] || -> equal(sdtasdt0(skf21(sz00),skf22(sz00)),sz00)**.
% 1.58/1.75 3143[1:Res:3126.0,34.1] isPrime0(skf21(sz00)) || -> SkP5(sz00)*.
% 1.58/1.75 3144[1:Res:3126.0,80.2] aInteger0(sz00) isPrime0(skf21(sz00)) || equal(sz10,sz00)** -> .
% 1.58/1.75 3147[1:SSi:3143.0,3125.0,5.0,1.0,3127.0] || -> SkP5(sz00)*.
% 1.58/1.75 3148[1:MRR:476.0,3147.0] || -> aElementOf0(skf23(u),xS)*.
% 1.58/1.75 3150[1:SSi:3144.1,3144.0,3125.0,5.0,1.0,3127.0,1.0,3127.0] || equal(sz10,sz00)** -> .
% 1.58/1.75 3208[5:SpR:3038.1,3125.0] || -> equal(skf21(sz00),sz10)** isPrime0(skc3).
% 1.58/1.75 3210[5:SpR:3038.1,3129.0] || -> equal(skf21(sz00),sz10) equal(sdtasdt0(skc3,skf22(sz00)),sz00)**.
% 1.58/1.75 3212[5:SpL:3038.1,3128.0] || equal(skc3,sz00) -> equal(skf21(sz00),sz10)**.
% 1.58/1.75 3213[5:Rew:3043.0,3210.1] || -> equal(skf21(sz00),sz10) equal(smndt0(skf22(sz00)),sz00)**.
% 1.58/1.75 3215[6:Spt:3208.0] || -> equal(skf21(sz00),sz10)**.
% 1.58/1.75 3219[6:Rew:3215.0,3129.0] || -> equal(sdtasdt0(sz10,skf22(sz00)),sz00)**.
% 1.58/1.75 3238[6:SpR:3219.0,26.1] aInteger0(skf22(sz00)) || -> equal(skf22(sz00),sz00)**.
% 1.58/1.75 3241[6:SSi:3238.0,4.0,1.0,3127.0,3147.0] || -> equal(skf22(sz00),sz00)**.
% 1.58/1.75 3265[0:Res:47.2,18.0] aInteger0(u) SkP5(u) || -> SkP4(u)*.
% 1.58/1.75 3277[6:SpR:3039.1,3241.0] || -> equal(skf22(sz00),sz10)** equal(skc3,sz00).
% 1.58/1.75 3280[6:Rew:3241.0,3277.0] || -> equal(sz10,sz00) equal(skc3,sz00)**.
% 1.58/1.75 3281[6:MRR:3280.0,3150.0] || -> equal(skc3,sz00)**.
% 1.58/1.75 3287[6:Rew:3281.0,3049.1] aInteger0(u) || -> equal(sdtasdt0(u,sz00),smndt0(u))**.
% 1.58/1.75 3386[6:Rew:27.1,3287.1] aInteger0(u) || -> equal(smndt0(u),sz00)**.
% 1.58/1.75 3388[6:Rew:3386.1,36.1] aInteger0(u) || -> equal(sdtpldt0(sz00,u),sz00)**.
% 1.58/1.75 3396[6:Rew:24.1,3388.1] aInteger0(u) || -> equal(u,sz00)*.
% 1.58/1.75 3464[6:EmS:3396.0,7.0] || -> equal(skf40(u),sz00)**.
% 1.58/1.75 3509[6:Rew:3464.0,42.1] || aElementOf0(u,xS)* equal(sz00,sz00) -> .
% 1.58/1.75 3570[6:Obv:3509.1] || aElementOf0(u,xS)* -> .
% 1.58/1.75 3571[6:UnC:3570.0,3148.0] || -> .
% 1.58/1.75 3610[6:Spt:3571.0,3208.0,3215.0] || equal(skf21(sz00),sz10)** -> .
% 1.58/1.75 3611[6:Spt:3571.0,3208.1] || -> isPrime0(skc3)*.
% 1.58/1.75 3613[6:MRR:3212.1,3610.0] || equal(skc3,sz00)** -> .
% 1.58/1.75 3614[6:MRR:3213.0,3610.0] || -> equal(smndt0(skf22(sz00)),sz00)**.
% 1.58/1.75 3661[6:SpR:3039.1,3614.0] || -> equal(skf22(sz00),sz10)** equal(smndt0(skc3),sz00).
% 1.58/1.75 3662[5:SpR:3039.1,3129.0] || -> equal(skf22(sz00),sz10) equal(sdtasdt0(skf21(sz00),skc3),sz00)**.
% 1.58/1.75 3664[5:Rew:3045.0,3662.1] || -> equal(skf22(sz00),sz10)** equal(smndt0(skf21(sz00)),sz00).
% 1.58/1.75 3669[7:Spt:3661.0] || -> equal(skf22(sz00),sz10)**.
% 1.58/1.75 3670[7:Rew:3669.0,3614.0] || -> equal(smndt0(sz10),sz00)**.
% 1.58/1.75 3672[7:Rew:3037.0,3670.0] || -> equal(skc3,sz00)**.
% 1.58/1.75 3673[7:MRR:3672.0,3613.0] || -> .
% 1.58/1.75 3674[7:Spt:3673.0,3661.0,3669.0] || equal(skf22(sz00),sz10)** -> .
% 1.58/1.75 3675[7:Spt:3673.0,3661.1] || -> equal(smndt0(skc3),sz00)**.
% 1.58/1.75 3676[7:MRR:3664.0,3674.0] || -> equal(smndt0(skf21(sz00)),sz00)**.
% 1.58/1.75 3691[7:SpR:3676.0,35.1] aInteger0(skf21(sz00)) || -> equal(sdtpldt0(skf21(sz00),sz00),sz00)**.
% 1.58/1.75 3700[7:Rew:23.1,3691.1] aInteger0(skf21(sz00)) || -> equal(skf21(sz00),sz00)**.
% 1.58/1.75 3701[7:SSi:3700.0,5.0,1.0,3127.0,3147.0,3125.0] || -> equal(skf21(sz00),sz00)**.
% 1.58/1.75 3702[7:MRR:3701.0,3128.0] || -> .
% 1.58/1.75 3703[5:Spt:3702.0,69.2,3037.0] || equal(smndt0(sz10),skc3)** -> .
% 1.58/1.75 3704[5:Spt:3702.0,69.0,69.1] || -> equal(skc3,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 3707[6:Spt:3704.0] || -> equal(skc3,sz10)**.
% 1.58/1.75 3709[6:Rew:3707.0,48.0] || equal(sz10,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 3710[6:Obv:3709.0] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 3711[6:Rew:3707.0,3710.0] || aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))* -> .
% 1.58/1.75 3712[6:MRR:502.1,3711.0] || -> aElementOf0(sz10,sbsmnsldt0(xS))*.
% 1.58/1.75 3713[6:MRR:3107.0,3712.0] || -> isPrime0(skf21(sz10))*.
% 1.58/1.75 3714[6:MRR:3106.0,3712.0] || -> aDivisorOf0(skf21(sz10),sz10)*.
% 1.58/1.75 3718[6:Res:3712.0,18.0] || -> SkP4(sz10)*.
% 1.58/1.75 3721[6:Res:3714.0,80.2] aInteger0(sz10) isPrime0(skf21(sz10)) || equal(sz10,sz10)* -> .
% 1.58/1.75 3726[6:Obv:3721.2] aInteger0(sz10) isPrime0(skf21(sz10)) || -> .
% 1.58/1.75 3727[6:SSi:3726.1,3726.0,3713.0,5.0,2.0,3718.0,2.0,3718.0] || -> .
% 1.58/1.75 3728[6:Spt:3727.0,3704.0,3707.0] || equal(skc3,sz10)** -> .
% 1.58/1.75 3729[6:Spt:3727.0,3704.1] || -> aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 3759[7:Spt:502.0] || -> aElementOf0(sz10,sbsmnsldt0(xS))*.
% 1.58/1.75 3761[7:MRR:3106.0,3759.0] || -> aDivisorOf0(skf21(sz10),sz10)*.
% 1.58/1.75 3764[7:Res:3759.0,18.0] || -> SkP4(sz10)*.
% 1.58/1.75 3770[7:Res:3761.0,80.2] aInteger0(sz10) isPrime0(skf21(sz10)) || equal(sz10,sz10)* -> .
% 1.58/1.75 3775[7:Obv:3770.2] aInteger0(sz10) isPrime0(skf21(sz10)) || -> .
% 1.58/1.75 3776[7:SSi:3775.1,3775.0,5.0,2.0,3764.0,31.0,2.2,3764.0,2.0,3764.0] || -> .
% 1.58/1.75 3777[7:Spt:3776.0,502.0,3759.0] || aElementOf0(sz10,sbsmnsldt0(xS))* -> .
% 1.58/1.75 3778[7:Spt:3776.0,502.1] || -> aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))*.
% 1.58/1.75 3886[0:Res:44.2,34.1] aInteger0(u) SkP4(u) isPrime0(skf21(u)) || -> SkP5(u)*.
% 1.58/1.75 3896[0:SSi:3886.2,5.2,31.0] aInteger0(u) SkP4(u) || -> SkP5(u)*.
% 1.58/1.75 3978[2:SpR:2862.1,4.0] || -> equal(skf22(u),sz10)** aInteger0(smndt0(sz10)).
% 1.58/1.75 3983[2:SpR:2862.1,3129.0] || -> equal(skf22(sz00),sz10) equal(sdtasdt0(skf21(sz00),smndt0(sz10)),sz00)**.
% 1.58/1.75 3985[2:Rew:272.0,3983.1] || -> equal(skf22(sz00),sz10)** equal(smndt0(skf21(sz00)),sz00).
% 1.58/1.75 4009[8:Spt:3978.0] || -> equal(skf22(u),sz10)**.
% 1.58/1.75 4010[8:Rew:4009.0,3129.0] || -> equal(sdtasdt0(skf21(sz00),sz10),sz00)**.
% 1.58/1.75 4274[8:SpR:4010.0,25.1] aInteger0(skf21(sz00)) || -> equal(skf21(sz00),sz00)**.
% 1.58/1.75 4277[8:SSi:4274.0,5.0,1.0,3127.0,3147.0,3125.0] || -> equal(skf21(sz00),sz00)**.
% 1.58/1.75 4278[8:MRR:4277.0,3128.0] || -> .
% 1.58/1.75 4279[8:Spt:4278.0,3978.1] || -> aInteger0(smndt0(sz10))*.
% 1.58/1.75 4318[3:SpR:2867.1,3125.0] || -> equal(skf21(sz00),sz10)** isPrime0(smndt0(sz10)).
% 1.58/1.75 4320[3:SpR:2867.1,3129.0] || -> equal(skf21(sz00),sz10) equal(sdtasdt0(smndt0(sz10),skf22(sz00)),sz00)**.
% 1.58/1.75 4330[3:Rew:389.0,4320.1] || -> equal(skf21(sz00),sz10) equal(smndt0(skf22(sz00)),sz00)**.
% 1.58/1.75 4331[9:Spt:4318.0] || -> equal(skf21(sz00),sz10)**.
% 1.58/1.75 4335[9:Rew:4331.0,3129.0] || -> equal(sdtasdt0(sz10,skf22(sz00)),sz00)**.
% 1.58/1.75 4336[9:Rew:4331.0,3985.1] || -> equal(skf22(sz00),sz10)** equal(smndt0(sz10),sz00).
% 1.58/1.75 4360[9:SpR:4335.0,26.1] aInteger0(skf22(sz00)) || -> equal(skf22(sz00),sz00)**.
% 1.58/1.75 4364[9:SSi:4360.0,4.0,1.0,3127.0,3147.0] || -> equal(skf22(sz00),sz00)**.
% 1.58/1.75 4366[9:Rew:4364.0,4336.0] || -> equal(sz10,sz00) equal(smndt0(sz10),sz00)**.
% 1.58/1.75 4367[9:MRR:4366.0,3150.0] || -> equal(smndt0(sz10),sz00)**.
% 1.58/1.75 4369[9:Rew:4367.0,52.1] aInteger0(u) || -> equal(sdtasdt0(sz00,u),smndt0(u))**.
% 1.58/1.75 4473[9:Rew:28.1,4369.1] aInteger0(u) || -> equal(smndt0(u),sz00)**.
% 1.58/1.75 4475[9:Rew:4473.1,35.1] aInteger0(u) || -> equal(sdtpldt0(u,sz00),sz00)**.
% 1.58/1.75 4483[9:Rew:23.1,4475.1] aInteger0(u) || -> equal(u,sz00)*.
% 1.58/1.75 4565[9:EmS:4483.0,7.0] || -> equal(skf40(u),sz00)**.
% 1.58/1.75 4635[9:Rew:4565.0,42.1] || aElementOf0(u,xS)* equal(sz00,sz00) -> .
% 1.58/1.75 4673[9:Obv:4635.1] || aElementOf0(u,xS)* -> .
% 1.58/1.75 4674[9:UnC:4673.0,3148.0] || -> .
% 1.58/1.75 4731[9:Spt:4674.0,4318.0,4331.0] || equal(skf21(sz00),sz10)** -> .
% 1.58/1.75 4732[9:Spt:4674.0,4318.1] || -> isPrime0(smndt0(sz10))*.
% 1.60/1.78 4735[9:MRR:4330.0,4731.0] || -> equal(smndt0(skf22(sz00)),sz00)**.
% 1.60/1.78 4753[9:SpR:4735.0,36.1] aInteger0(skf22(sz00)) || -> equal(sdtpldt0(sz00,skf22(sz00)),sz00)**.
% 1.60/1.78 4754[9:Rew:24.1,4753.1] aInteger0(skf22(sz00)) || -> equal(skf22(sz00),sz00)**.
% 1.60/1.78 4755[9:SSi:4754.0,4.0,1.0,3127.0,3147.0] || -> equal(skf22(sz00),sz00)**.
% 1.60/1.78 4758[9:Rew:4755.0,3985.0] || -> equal(sz10,sz00) equal(smndt0(skf21(sz00)),sz00)**.
% 1.60/1.78 4759[9:MRR:4758.0,3150.0] || -> equal(smndt0(skf21(sz00)),sz00)**.
% 1.60/1.78 4764[9:SpR:4759.0,36.1] aInteger0(skf21(sz00)) || -> equal(sdtpldt0(sz00,skf21(sz00)),sz00)**.
% 1.60/1.78 4766[9:Rew:24.1,4764.1] aInteger0(skf21(sz00)) || -> equal(skf21(sz00),sz00)**.
% 1.60/1.78 4767[9:SSi:4766.0,5.0,1.0,3127.0,3147.0,3125.0] || -> equal(skf21(sz00),sz00)**.
% 1.60/1.78 4768[9:MRR:4767.0,3128.0] || -> .
% 1.60/1.78 4769[3:Spt:4768.0,258.0] || -> isPrime0(skf26(u))*.
% 1.60/1.78 4775[4:Spt:32.0] || aElementOf0(u,sbsmnsldt0(xS))* -> .
% 1.60/1.78 4776[4:UnC:4775.0,3124.0] || -> .
% 1.60/1.78 4777[4:Spt:4776.0,32.1] || -> aElementOf0(skf24(u),xS)*.
% 1.60/1.78 4911[5:Spt:3985.0] || -> equal(skf22(sz00),sz10)**.
% 1.60/1.78 4912[5:Rew:4911.0,3129.0] || -> equal(sdtasdt0(skf21(sz00),sz10),sz00)**.
% 1.60/1.78 4928[5:SpR:4912.0,25.1] aInteger0(skf21(sz00)) || -> equal(skf21(sz00),sz00)**.
% 1.60/1.78 4930[5:SSi:4928.0,5.0,1.0,3127.0,3147.0,3125.0] || -> equal(skf21(sz00),sz00)**.
% 1.60/1.78 4931[5:MRR:4930.0,3128.0] || -> .
% 1.60/1.78 4932[5:Spt:4931.0,3985.0,4911.0] || equal(skf22(sz00),sz10)** -> .
% 1.60/1.78 4933[5:Spt:4931.0,3985.1] || -> equal(smndt0(skf21(sz00)),sz00)**.
% 1.60/1.78 4936[5:SpR:4933.0,35.1] aInteger0(skf21(sz00)) || -> equal(sdtpldt0(skf21(sz00),sz00),sz00)**.
% 1.60/1.78 4941[5:Rew:23.1,4936.1] aInteger0(skf21(sz00)) || -> equal(skf21(sz00),sz00)**.
% 1.60/1.78 4942[5:SSi:4941.0,5.0,1.0,3127.0,3147.0,3125.0] || -> equal(skf21(sz00),sz00)**.
% 1.60/1.78 4943[5:MRR:4942.0,3128.0] || -> .
% 1.60/1.78 4944[2:Spt:4943.0,376.0] || -> isPrime0(skf26(u))*.
% 1.60/1.78 4945[3:Spt:32.0] || aElementOf0(u,sbsmnsldt0(xS))* -> .
% 1.60/1.78 4946[3:UnC:4945.0,3124.0] || -> .
% 1.60/1.78 4947[3:Spt:4946.0,32.1] || -> aElementOf0(skf24(u),xS)*.
% 1.60/1.78 4952[4:Spt:69.2] || -> equal(smndt0(sz10),skc3)**.
% 1.60/1.78 4959[4:Rew:4952.0,63.1] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* equal(skc3,skc3) -> .
% 1.60/1.78 4961[4:Rew:4952.0,87.3] aInteger0(u) isPrime0(v) || aDivisorOf0(v,u)* equal(u,skc3) -> .
% 1.60/1.78 4967[4:Obv:4959.1] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.60/1.78 4968[4:SpR:4952.0,15.1] aInteger0(sz10) || -> aInteger0(skc3)*.
% 1.60/1.78 4972[4:SSi:4968.0,2.0] || -> aInteger0(skc3)*.
% 1.60/1.78 4975[4:Res:70.2,4967.0] aInteger0(skc3) || -> aElementOf0(skc3,sbsmnsldt0(xS))*.
% 1.60/1.78 4976[4:MRR:4975.0,4972.0] || -> aElementOf0(skc3,sbsmnsldt0(xS))*.
% 1.60/1.78 4981[4:Res:4976.0,18.0] || -> SkP4(skc3)*.
% 1.60/1.78 5005[0:Res:3106.1,80.2] aInteger0(sz10) isPrime0(skf21(sz10)) || aElementOf0(sz10,sbsmnsldt0(xS))* equal(sz10,sz10) -> .
% 1.60/1.78 5009[0:Obv:5005.3] aInteger0(sz10) isPrime0(skf21(sz10)) || aElementOf0(sz10,sbsmnsldt0(xS))* -> .
% 1.60/1.78 5010[0:SSi:5009.0,2.0] isPrime0(skf21(sz10)) || aElementOf0(sz10,sbsmnsldt0(xS))* -> .
% 1.60/1.78 5011[0:MRR:5010.0,3107.1] || aElementOf0(sz10,sbsmnsldt0(xS))* -> .
% 1.60/1.78 5014[0:MRR:502.0,5011.0] || -> aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))*.
% 1.60/1.78 5286[4:Res:44.2,4961.2] aInteger0(u) SkP4(u) aInteger0(u) isPrime0(skf21(u)) || equal(u,skc3)* -> .
% 1.60/1.78 5291[4:Obv:5286.0] SkP4(u) aInteger0(u) isPrime0(skf21(u)) || equal(u,skc3)* -> .
% 1.60/1.78 5292[4:SSi:5291.2,5.2,31.0] SkP4(u) aInteger0(u) || equal(u,skc3)* -> .
% 1.60/1.78 5529[4:EmS:5292.0,5292.1,3265.2,4972.0] aInteger0(skc3) SkP5(skc3) || equal(skc3,skc3)* -> .
% 1.60/1.78 5585[4:Obv:5529.2] aInteger0(skc3) SkP5(skc3) || -> .
% 1.60/1.78 5586[4:SSi:5585.1,5585.0,3896.0,4972.0,4981.0,4972.0,4981.2] || -> .
% 1.60/1.78 5610[4:Spt:5586.0,69.2,4952.0] || equal(smndt0(sz10),skc3)** -> .
% 1.60/1.78 5611[4:Spt:5586.0,69.0,69.1] || -> equal(skc3,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.60/1.78 5617[5:Spt:5611.0] || -> equal(skc3,sz10)**.
% 1.60/1.78 5619[5:Rew:5617.0,48.0] || equal(sz10,sz10) aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.60/1.78 5620[5:Obv:5619.0] || aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))* -> .
% 1.60/1.78 5621[5:Rew:5617.0,5620.0] || aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))* -> .
% 1.60/1.78 5622[5:MRR:5621.0,5014.0] || -> .
% 1.60/1.78 5623[5:Spt:5622.0,5611.0,5617.0] || equal(skc3,sz10)** -> .
% 1.60/1.78 5624[5:Spt:5622.0,5611.1] || -> aElementOf0(skc3,stldt0(sbsmnsldt0(xS)))*.
% 1.60/1.78 5630[5:Res:5624.0,62.1] || aElementOf0(skc3,sbsmnsldt0(xS))* -> .
% 1.60/1.78 5631[5:Res:5624.0,22.0] || -> aInteger0(skc3)*.
% 1.60/1.78 5637[5:Res:47.2,5630.0] aInteger0(skc3) SkP5(skc3) || -> .
% 1.60/1.78 5638[5:SSi:5637.0,5631.0] SkP5(skc3) || -> .
% 1.60/1.78 5641[5:SoR:5638.0,34.2] isPrime0(u) || aDivisorOf0(u,skc3)* -> .
% 1.60/1.78 5698[5:Res:81.3,5641.1] aInteger0(skc3) isPrime0(skf26(skc3)) || -> equal(skc3,sz10) equal(smndt0(sz10),skc3)**.
% 1.60/1.78 5702[5:SSi:5698.1,5698.0,4944.0,5631.0,5631.0] || -> equal(skc3,sz10) equal(smndt0(sz10),skc3)**.
% 1.60/1.78 5703[5:MRR:5702.0,5702.1,5623.0,5610.0] || -> .
% 1.60/1.78 % SZS output end Refutation
% 1.60/1.78 Formulae used in the proof : mIntZero mIntOne m__ m__2046 mIntNeg mAddZero mMulOne mMulZero mAddNeg mMulMinOne mPrimeDivisor
% 1.60/1.78
%------------------------------------------------------------------------------