TSTP Solution File: NUM498+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 14:26:49 EDT 2022
% Result : Theorem 1.00s 1.16s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jul 7 19:22:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.00/1.16
% 1.00/1.16 SPASS V 3.9
% 1.00/1.16 SPASS beiseite: Proof found.
% 1.00/1.16 % SZS status Theorem
% 1.00/1.16 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.16 SPASS derived 1688 clauses, backtracked 265 clauses, performed 8 splits and kept 1040 clauses.
% 1.00/1.16 SPASS allocated 100463 KBytes.
% 1.00/1.16 SPASS spent 0:00:00.81 on the problem.
% 1.00/1.16 0:00:00.04 for the input.
% 1.00/1.16 0:00:00.04 for the FLOTTER CNF translation.
% 1.00/1.16 0:00:00.03 for inferences.
% 1.00/1.16 0:00:00.01 for the backtracking.
% 1.00/1.16 0:00:00.66 for the reduction.
% 1.00/1.16
% 1.00/1.16
% 1.00/1.16 Here is a proof with depth 8, length 130 :
% 1.00/1.16 % SZS output start Refutation
% 1.00/1.16 1[0:Inp] || -> aNaturalNumber0(sz00)*.
% 1.00/1.16 2[0:Inp] || -> aNaturalNumber0(sz10)*.
% 1.00/1.16 3[0:Inp] || -> aNaturalNumber0(xn)*.
% 1.00/1.16 4[0:Inp] || -> aNaturalNumber0(xm)*.
% 1.00/1.16 5[0:Inp] || -> aNaturalNumber0(xp)*.
% 1.00/1.16 6[0:Inp] || -> isPrime0(xp)*.
% 1.00/1.16 7[0:Inp] || -> aNaturalNumber0(skf6(u))*.
% 1.00/1.16 10[0:Inp] || -> sdtlseqdt0(xm,xp)*.
% 1.00/1.16 11[0:Inp] || doDivides0(xp,xn)* -> .
% 1.00/1.16 12[0:Inp] || doDivides0(xp,xm)* -> .
% 1.00/1.16 19[0:Inp] || equal(xp,xm)** -> .
% 1.00/1.16 20[0:Inp] || -> doDivides0(xp,sdtasdt0(xn,xm))*.
% 1.00/1.16 21[0:Inp] || -> equal(xk,sz10)** equal(xk,sz00).
% 1.00/1.16 23[0:Inp] || -> equal(sdtsldt0(sdtasdt0(xn,xm),xp),xk)**.
% 1.00/1.16 26[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(u,sz10),u)**.
% 1.00/1.16 27[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(sz10,u),u)**.
% 1.00/1.16 28[0:Inp] aNaturalNumber0(u) || -> equal(sdtasdt0(u,sz00),sz00)**.
% 1.00/1.16 31[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> aNaturalNumber0(sdtasdt0(v,u))*.
% 1.00/1.16 32[0:Inp] aNaturalNumber0(u) isPrime0(u) || equal(u,sz00)* -> .
% 1.00/1.16 34[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> sdtlseqdt0(v,u)* sdtlseqdt0(u,v)*.
% 1.00/1.16 38[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || -> equal(sdtasdt0(v,u),sdtasdt0(u,v))*.
% 1.00/1.16 45[0:Inp] aNaturalNumber0(u) || -> isPrime0(u) equal(u,sz10) equal(u,sz00) doDivides0(skf6(u),u)*.
% 1.00/1.16 47[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u)* -> sdtlseqdt0(v,u) equal(u,sz00).
% 1.00/1.16 51[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || sdtlseqdt0(v,u)*+ sdtlseqdt0(u,v)* -> equal(v,u).
% 1.00/1.16 53[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || equal(sdtasdt0(v,u),sz00)** -> equal(u,sz00) equal(v,sz00).
% 1.00/1.16 56[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(u,sdtasdt0(v,w))*+ -> doDivides0(v,u)*.
% 1.00/1.16 57[0:Inp] aNaturalNumber0(u) isPrime0(u) aNaturalNumber0(v) || doDivides0(v,u)* -> equal(v,u) equal(v,sz10).
% 1.00/1.16 58[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(v,u)*+ doDivides0(w,v)* -> doDivides0(w,u)*.
% 1.00/1.16 59[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || sdtlseqdt0(v,u)*+ sdtlseqdt0(w,v)* -> sdtlseqdt0(w,u)*.
% 1.00/1.16 64[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) equal(w,sdtsldt0(u,v))*+ -> aNaturalNumber0(w)* equal(v,sz00).
% 1.00/1.16 74[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) || doDivides0(v,u) equal(w,sdtsldt0(u,v))*+ -> equal(v,sz00) equal(u,sdtasdt0(v,w))*.
% 1.00/1.16 81[0:Inp] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || doDivides0(v,w) equal(w,sdtasdt0(v,u))* -> equal(u,sdtsldt0(w,v))* equal(v,sz00).
% 1.00/1.16 86[0:MRR:81.3,56.4] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(w) || equal(u,sdtasdt0(v,w))*+ -> equal(v,sz00) equal(w,sdtsldt0(u,v))*.
% 1.00/1.16 89[0:Res:56.4,12.0] aNaturalNumber0(u) aNaturalNumber0(xp) aNaturalNumber0(xm) || equal(sdtasdt0(xp,u),xm)** -> .
% 1.00/1.16 91[0:Res:58.5,12.0] aNaturalNumber0(xp) aNaturalNumber0(u) aNaturalNumber0(xm) || doDivides0(xp,u)* doDivides0(u,xm)* -> .
% 1.00/1.16 94[0:Res:56.4,11.0] aNaturalNumber0(u) aNaturalNumber0(xp) aNaturalNumber0(xn) || equal(sdtasdt0(xp,u),xn)** -> .
% 1.00/1.16 96[0:Res:58.5,11.0] aNaturalNumber0(xp) aNaturalNumber0(u) aNaturalNumber0(xn) || doDivides0(xp,u)* doDivides0(u,xn)* -> .
% 1.00/1.16 98[0:MRR:89.1,89.2,5.0,4.0] aNaturalNumber0(u) || equal(sdtasdt0(xp,u),xm)** -> .
% 1.00/1.16 99[0:MRR:94.1,94.2,5.0,3.0] aNaturalNumber0(u) || equal(sdtasdt0(xp,u),xn)** -> .
% 1.00/1.16 100[0:MRR:91.0,91.2,5.0,4.0] aNaturalNumber0(u) || doDivides0(u,xm)*+ doDivides0(xp,u)* -> .
% 1.00/1.16 101[0:MRR:96.0,96.2,5.0,3.0] aNaturalNumber0(u) || doDivides0(u,xn)*+ doDivides0(xp,u)* -> .
% 1.00/1.16 120[1:Spt:21.0] || -> equal(xk,sz10)**.
% 1.00/1.16 121[1:Rew:120.0,23.0] || -> equal(sdtsldt0(sdtasdt0(xn,xm),xp),sz10)**.
% 1.00/1.16 136[0:SpL:28.1,99.1] aNaturalNumber0(xp) aNaturalNumber0(sz00) || equal(xn,sz00)** -> .
% 1.00/1.16 138[0:SSi:136.1,136.0,1.0,6.0,5.0] || equal(xn,sz00)** -> .
% 1.00/1.16 139[0:SpL:28.1,98.1] aNaturalNumber0(xp) aNaturalNumber0(sz00) || equal(xm,sz00)** -> .
% 1.00/1.16 141[0:SSi:139.1,139.0,1.0,6.0,5.0] || equal(xm,sz00)** -> .
% 1.00/1.16 142[0:EmS:32.0,32.1,5.0,6.0] || equal(xp,sz00)** -> .
% 1.00/1.16 298[0:Res:45.4,101.1] aNaturalNumber0(xn) aNaturalNumber0(skf6(xn)) || doDivides0(xp,skf6(xn))* -> isPrime0(xn) equal(xn,sz10) equal(xn,sz00).
% 1.00/1.16 299[0:Res:45.4,100.1] aNaturalNumber0(xm) aNaturalNumber0(skf6(xm)) || doDivides0(xp,skf6(xm))* -> isPrime0(xm) equal(xm,sz10) equal(xm,sz00).
% 1.00/1.16 300[0:SSi:299.1,299.0,7.0,4.0,4.0] || doDivides0(xp,skf6(xm))* -> isPrime0(xm) equal(xm,sz10) equal(xm,sz00).
% 1.00/1.16 301[0:MRR:300.3,141.0] || doDivides0(xp,skf6(xm))* -> isPrime0(xm) equal(xm,sz10).
% 1.00/1.16 302[0:SSi:298.1,298.0,7.0,3.0,3.0] || doDivides0(xp,skf6(xn))* -> isPrime0(xn) equal(xn,sz10) equal(xn,sz00).
% 1.00/1.16 303[0:MRR:302.3,138.0] || doDivides0(xp,skf6(xn))* -> isPrime0(xn) equal(xn,sz10).
% 1.00/1.16 304[2:Spt:301.2] || -> equal(xm,sz10)**.
% 1.00/1.16 310[2:Rew:304.0,20.0] || -> doDivides0(xp,sdtasdt0(xn,sz10))*.
% 1.00/1.16 339[2:SpR:38.2,310.0] aNaturalNumber0(xn) aNaturalNumber0(sz10) || -> doDivides0(xp,sdtasdt0(sz10,xn))*.
% 1.00/1.16 345[2:Rew:27.1,339.2] aNaturalNumber0(xn) aNaturalNumber0(sz10) || -> doDivides0(xp,xn)*.
% 1.00/1.16 346[2:SSi:345.1,345.0,2.0,3.0] || -> doDivides0(xp,xn)*.
% 1.00/1.16 347[2:MRR:346.0,11.0] || -> .
% 1.00/1.16 348[2:Spt:347.0,301.2,304.0] || equal(xm,sz10)** -> .
% 1.00/1.16 349[2:Spt:347.0,301.0,301.1] || doDivides0(xp,skf6(xm))* -> isPrime0(xm).
% 1.00/1.16 368[3:Spt:303.2] || -> equal(xn,sz10)**.
% 1.00/1.16 380[3:Rew:368.0,20.0] || -> doDivides0(xp,sdtasdt0(sz10,xm))*.
% 1.00/1.16 401[3:SpR:27.1,380.0] aNaturalNumber0(xm) || -> doDivides0(xp,xm)*.
% 1.00/1.16 402[3:SSi:401.0,4.0] || -> doDivides0(xp,xm)*.
% 1.00/1.16 403[3:MRR:402.0,12.0] || -> .
% 1.00/1.16 404[3:Spt:403.0,303.2,368.0] || equal(xn,sz10)** -> .
% 1.00/1.16 405[3:Spt:403.0,303.0,303.1] || doDivides0(xp,skf6(xn))* -> isPrime0(xn).
% 1.00/1.16 440[0:Res:20.0,47.2] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 1.00/1.16 443[0:SSi:440.1,440.0,6.0,5.0,31.2,3.0,4.0] || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),sz00).
% 1.00/1.16 448[4:Spt:443.1] || -> equal(sdtasdt0(xn,xm),sz00)**.
% 1.00/1.16 573[4:SpL:448.0,53.2] aNaturalNumber0(xm) aNaturalNumber0(xn) || equal(sz00,sz00) -> equal(xm,sz00)** equal(xn,sz00).
% 1.00/1.16 575[4:Obv:573.2] aNaturalNumber0(xm) aNaturalNumber0(xn) || -> equal(xm,sz00)** equal(xn,sz00).
% 1.00/1.16 576[4:SSi:575.1,575.0,3.0,4.0] || -> equal(xm,sz00)** equal(xn,sz00).
% 1.00/1.16 577[4:MRR:576.0,576.1,141.0,138.0] || -> .
% 1.00/1.16 582[4:Spt:577.0,443.1,448.0] || equal(sdtasdt0(xn,xm),sz00)** -> .
% 1.00/1.16 583[4:Spt:577.0,443.0] || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))*.
% 1.00/1.16 584[4:Res:583.0,51.2] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || sdtlseqdt0(sdtasdt0(xn,xm),xp)* -> equal(sdtasdt0(xn,xm),xp).
% 1.00/1.16 585[4:SSi:584.1,584.0,6.0,5.0,31.2,3.0,4.0] || sdtlseqdt0(sdtasdt0(xn,xm),xp)* -> equal(sdtasdt0(xn,xm),xp).
% 1.00/1.16 682[0:EqR:56.3] aNaturalNumber0(sdtasdt0(u,v)) aNaturalNumber0(u) aNaturalNumber0(v) || -> doDivides0(u,sdtasdt0(u,v))*.
% 1.00/1.16 690[0:SSi:682.0,31.2] aNaturalNumber0(u) aNaturalNumber0(v) || -> doDivides0(u,sdtasdt0(u,v))*.
% 1.00/1.16 751[0:SpR:38.2,690.2] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(v) aNaturalNumber0(u) || -> doDivides0(v,sdtasdt0(u,v))*.
% 1.00/1.16 770[0:Obv:751.1] aNaturalNumber0(u) aNaturalNumber0(v) || -> doDivides0(u,sdtasdt0(v,u))*.
% 1.00/1.16 1144[0:Res:10.0,59.3] aNaturalNumber0(xp) aNaturalNumber0(xm) aNaturalNumber0(u) || sdtlseqdt0(u,xm) -> sdtlseqdt0(u,xp)*.
% 1.00/1.16 1159[0:SSi:1144.1,1144.0,4.0,6.0,5.0] aNaturalNumber0(u) || sdtlseqdt0(u,xm) -> sdtlseqdt0(u,xp)*.
% 1.00/1.16 1181[4:Res:1159.2,585.0] aNaturalNumber0(sdtasdt0(xn,xm)) || sdtlseqdt0(sdtasdt0(xn,xm),xm)* -> equal(sdtasdt0(xn,xm),xp).
% 1.00/1.16 1184[4:SSi:1181.0,31.0,3.0,4.2] || sdtlseqdt0(sdtasdt0(xn,xm),xm)* -> equal(sdtasdt0(xn,xm),xp).
% 1.00/1.16 1198[4:Res:34.2,1184.0] aNaturalNumber0(xm) aNaturalNumber0(sdtasdt0(xn,xm)) || -> sdtlseqdt0(xm,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),xp).
% 1.00/1.16 1200[4:SSi:1198.1,1198.0,31.0,3.0,4.0,4.2] || -> sdtlseqdt0(xm,sdtasdt0(xn,xm))* equal(sdtasdt0(xn,xm),xp).
% 1.00/1.16 1201[5:Spt:1200.1] || -> equal(sdtasdt0(xn,xm),xp)**.
% 1.00/1.16 1211[5:SpR:1201.0,770.2] aNaturalNumber0(xm) aNaturalNumber0(xn) || -> doDivides0(xm,xp)*.
% 1.00/1.20 1219[5:SSi:1211.1,1211.0,3.0,4.0] || -> doDivides0(xm,xp)*.
% 1.00/1.20 1233[5:Res:1219.0,57.3] aNaturalNumber0(xp) isPrime0(xp) aNaturalNumber0(xm) || -> equal(xp,xm)** equal(xm,sz10).
% 1.00/1.20 1235[5:SSi:1233.2,1233.1,1233.0,4.0,6.0,5.0,6.0,5.0] || -> equal(xp,xm)** equal(xm,sz10).
% 1.00/1.20 1236[5:MRR:1235.0,1235.1,19.0,348.0] || -> .
% 1.00/1.20 1237[5:Spt:1236.0,1200.1,1201.0] || equal(sdtasdt0(xn,xm),xp)** -> .
% 1.00/1.20 1238[5:Spt:1236.0,1200.0] || -> sdtlseqdt0(xm,sdtasdt0(xn,xm))*.
% 1.00/1.20 1658[0:SpL:28.1,86.3] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(u) aNaturalNumber0(sz00) || equal(v,sz00) -> equal(u,sz00) equal(sdtsldt0(v,u),sz00)**.
% 1.00/1.20 1668[0:Obv:1658.0] aNaturalNumber0(u) aNaturalNumber0(v) aNaturalNumber0(sz00) || equal(u,sz00) -> equal(v,sz00) equal(sdtsldt0(u,v),sz00)**.
% 1.00/1.20 1669[0:SSi:1668.2,1.0] aNaturalNumber0(u) aNaturalNumber0(v) || equal(u,sz00) -> equal(v,sz00) equal(sdtsldt0(u,v),sz00)**.
% 1.00/1.20 2048[1:SpL:121.0,74.3] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || doDivides0(xp,sdtasdt0(xn,xm)) equal(u,sz10) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 1.00/1.20 2049[1:SSi:2048.1,2048.0,6.0,5.0,31.2,3.0,4.0] || doDivides0(xp,sdtasdt0(xn,xm)) equal(u,sz10) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 1.00/1.20 2050[1:MRR:2049.0,2049.2,20.0,142.0] || equal(u,sz10) -> equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 1.00/1.20 2058[1:SpR:2050.1,26.1] aNaturalNumber0(xp) || equal(sz10,sz10) -> equal(sdtasdt0(xn,xm),xp)**.
% 1.00/1.20 2078[1:Obv:2058.1] aNaturalNumber0(xp) || -> equal(sdtasdt0(xn,xm),xp)**.
% 1.00/1.20 2079[1:SSi:2078.0,6.0,5.0] || -> equal(sdtasdt0(xn,xm),xp)**.
% 1.00/1.20 2080[5:MRR:2079.0,1237.0] || -> .
% 1.00/1.20 2101[1:Spt:2080.0,21.0,120.0] || equal(xk,sz10)** -> .
% 1.00/1.20 2102[1:Spt:2080.0,21.1] || -> equal(xk,sz00)**.
% 1.00/1.20 2104[1:Rew:2102.0,23.0] || -> equal(sdtsldt0(sdtasdt0(xn,xm),xp),sz00)**.
% 1.00/1.20 2111[1:SpL:2104.0,74.3] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || doDivides0(xp,sdtasdt0(xn,xm)) equal(u,sz00) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 1.00/1.20 2112[1:SpL:2104.0,64.3] aNaturalNumber0(sdtasdt0(xn,xm)) aNaturalNumber0(xp) || doDivides0(xp,sdtasdt0(xn,xm))* equal(u,sz00) -> aNaturalNumber0(u)* equal(xp,sz00).
% 1.00/1.20 2113[1:SSi:2112.1,2112.0,6.0,5.0,31.2,3.0,4.0] || doDivides0(xp,sdtasdt0(xn,xm))* equal(u,sz00) -> aNaturalNumber0(u)* equal(xp,sz00).
% 1.00/1.20 2114[1:MRR:2113.0,2113.3,20.0,142.0] || equal(u,sz00) -> aNaturalNumber0(u)*.
% 1.00/1.20 2127[1:MRR:1669.0,2114.1] aNaturalNumber0(u) || equal(v,sz00) -> equal(u,sz00) equal(sdtsldt0(v,u),sz00)**.
% 1.00/1.20 2142[1:SSi:2111.1,2111.0,6.0,5.0,31.2,3.0,4.0] || doDivides0(xp,sdtasdt0(xn,xm)) equal(u,sz00) -> equal(xp,sz00) equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 1.00/1.20 2143[1:MRR:2142.0,2142.2,20.0,142.0] || equal(u,sz00) -> equal(sdtasdt0(xp,u),sdtasdt0(xn,xm))**.
% 1.00/1.20 2324[2:Spt:443.1] || -> equal(sdtasdt0(xn,xm),sz00)**.
% 1.00/1.20 2352[2:SpL:2324.0,86.3] aNaturalNumber0(u) aNaturalNumber0(xn) aNaturalNumber0(xm) || equal(u,sz00) -> equal(xn,sz00) equal(sdtsldt0(u,xn),xm)**.
% 1.00/1.20 2371[2:Rew:2127.3,2352.5] aNaturalNumber0(u) aNaturalNumber0(xn) aNaturalNumber0(xm) || equal(u,sz00)* -> equal(xn,sz00) equal(xm,sz00)**.
% 1.00/1.20 2372[2:SSi:2371.2,2371.1,4.0,3.0] aNaturalNumber0(u) || equal(u,sz00)* -> equal(xn,sz00) equal(xm,sz00)**.
% 1.00/1.20 2373[2:MRR:2372.0,2372.2,2372.3,2114.1,138.0,141.0] || equal(u,sz00)* -> .
% 1.00/1.20 2374[2:UnC:2373.0,2324.0] || -> .
% 1.00/1.20 2383[2:Spt:2374.0,443.1,2324.0] || equal(sdtasdt0(xn,xm),sz00)** -> .
% 1.00/1.20 2384[2:Spt:2374.0,443.0] || -> sdtlseqdt0(xp,sdtasdt0(xn,xm))*.
% 1.00/1.20 2916[1:SpR:2143.1,28.1] aNaturalNumber0(xp) || equal(sz00,sz00) -> equal(sdtasdt0(xn,xm),sz00)**.
% 1.00/1.20 2940[1:Obv:2916.1] aNaturalNumber0(xp) || -> equal(sdtasdt0(xn,xm),sz00)**.
% 1.00/1.20 2941[1:SSi:2940.0,6.0,5.0] || -> equal(sdtasdt0(xn,xm),sz00)**.
% 1.00/1.20 2942[2:MRR:2941.0,2383.0] || -> .
% 1.00/1.20 % SZS output end Refutation
% 1.00/1.20 Formulae used in the proof : mSortsC mSortsC_01 m__1837 m__1860 mDefPrime m__2287 m__ m__2306 m_MulUnit m_MulZero mSortsB_02 mLETotal mMulComm mDivLE mLEAsym mZeroMul mDefDiv mDivTrans mLETran mDefQuot
% 1.00/1.20
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