TSTP Solution File: NUM564+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:27:33 EDT 2022
% Result : Theorem 2.35s 2.53s
% Output : Refutation 2.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 13:05:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.35/2.53
% 2.35/2.53 SPASS V 3.9
% 2.35/2.53 SPASS beiseite: Proof found.
% 2.35/2.53 % SZS status Theorem
% 2.35/2.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/2.53 SPASS derived 5618 clauses, backtracked 925 clauses, performed 25 splits and kept 3094 clauses.
% 2.35/2.53 SPASS allocated 104278 KBytes.
% 2.35/2.53 SPASS spent 0:00:02.19 on the problem.
% 2.35/2.53 0:00:00.04 for the input.
% 2.35/2.53 0:00:00.30 for the FLOTTER CNF translation.
% 2.35/2.53 0:00:00.10 for inferences.
% 2.35/2.53 0:00:00.03 for the backtracking.
% 2.35/2.53 0:00:01.67 for the reduction.
% 2.35/2.53
% 2.35/2.53
% 2.35/2.53 Here is a proof with depth 7, length 157 :
% 2.35/2.53 % SZS output start Refutation
% 2.35/2.53 1[0:Inp] || -> isFinite0(slcrc0)*.
% 2.35/2.53 2[0:Inp] || -> aSet0(szNzAzT0)*.
% 2.35/2.53 3[0:Inp] || -> isCountable0(szNzAzT0)*.
% 2.35/2.53 4[0:Inp] || -> aSet0(xT)*.
% 2.35/2.53 5[0:Inp] || -> isFinite0(xT)*.
% 2.35/2.53 6[0:Inp] || -> isCountable0(xS)*.
% 2.35/2.53 7[0:Inp] || -> aFunction0(xc)*.
% 2.35/2.53 9[0:Inp] || -> aElementOf0(xK,szNzAzT0)*.
% 2.35/2.53 10[0:Inp] || -> aSubsetOf0(xS,szNzAzT0)*.
% 2.35/2.53 11[0:Inp] || -> equal(sz00,xK)**.
% 2.35/2.53 13[0:Inp] || -> equal(slbdtrb0(sz00),slcrc0)**.
% 2.35/2.53 17[0:Inp] || aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))* -> .
% 2.35/2.53 18[0:Inp] || equal(u,slcrc0) -> aSet0(u)*.
% 2.35/2.53 21[0:Inp] aSet0(u) || -> aElement0(sbrdtbr0(u))*.
% 2.35/2.53 22[0:Inp] aFunction0(u) || -> aSet0(szDzozmdt0(u))*.
% 2.35/2.53 23[0:Inp] || -> equal(slbdtsldtrb0(xS,xK),szDzozmdt0(xc))**.
% 2.35/2.53 24[0:Inp] || -> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)*.
% 2.35/2.53 30[0:Inp] || aElementOf0(u,v)* equal(v,slcrc0) -> .
% 2.35/2.53 32[0:Inp] || aElementOf0(u,szNzAzT0) -> aElementOf0(szszuzczcdt0(u),szNzAzT0)*.
% 2.35/2.53 35[0:Inp] aSet0(u) || aElementOf0(v,u)* -> aElement0(v).
% 2.35/2.53 36[0:Inp] isFinite0(u) isCountable0(u) aSet0(u) || -> .
% 2.35/2.53 37[0:Inp] aSet0(u) || aSubsetOf0(v,u)* -> aSet0(v).
% 2.35/2.53 42[0:Inp] || aElementOf0(u,szNzAzT0) -> equal(sbrdtbr0(slbdtrb0(u)),u)**.
% 2.35/2.53 43[0:Inp] aSet0(u) || -> equal(u,slcrc0) aElementOf0(skf21(u),u)*.
% 2.35/2.53 49[0:Inp] aSet0(u) || equal(sbrdtbr0(u),sz00)** -> equal(u,slcrc0).
% 2.35/2.53 51[0:Inp] || aElementOf0(u,szNzAzT0)* equal(v,slbdtrb0(u))*+ -> aSet0(v)*.
% 2.35/2.53 52[0:Inp] isFinite0(u) aSet0(u) || aSubsetOf0(v,u)* -> isFinite0(v).
% 2.35/2.53 61[0:Inp] aSet0(u) || aElementOf0(v,w)*+ aSubsetOf0(w,u)* -> aElementOf0(v,u)*.
% 2.35/2.53 62[0:Inp] aSet0(u) aSet0(v) || -> aSubsetOf0(v,u)* aElementOf0(skf22(v,w),v)*.
% 2.35/2.53 72[0:Inp] || aSubsetOf0(u,szNzAzT0)* equal(v,szmzizndt0(u))+ -> aElementOf0(v,u)* equal(u,slcrc0).
% 2.35/2.53 74[0:Inp] aSet0(u) || aElementOf0(v,szNzAzT0) equal(slbdtsldtrb0(u,v),slcrc0)** -> isFinite0(u).
% 2.35/2.53 78[0:Inp] aFunction0(u) || aElementOf0(v,szDzozmdt0(u)) -> aElementOf0(sdtlpdtrp0(u,v),sdtlcdtrc0(u,szDzozmdt0(u)))*.
% 2.35/2.53 81[0:Inp] aSet0(u) aSet0(v) || aSubsetOf0(v,u)* aSubsetOf0(u,v)* -> equal(u,v).
% 2.35/2.53 100[0:Inp] aSet0(u) || aElementOf0(v,w)* aElementOf0(x,szNzAzT0) equal(w,slbdtsldtrb0(u,x))*+ -> aSubsetOf0(v,u)*.
% 2.35/2.53 108[0:Inp] aSet0(u) aSet0(v) aSet0(w) || aSubsetOf0(u,v)* aSubsetOf0(v,w)* -> aSubsetOf0(u,w)*.
% 2.35/2.53 111[0:Inp] aSet0(u) || aElementOf0(v,w)* aElementOf0(x,szNzAzT0) equal(w,slbdtsldtrb0(u,x))*+ -> equal(sbrdtbr0(v),x)*.
% 2.35/2.53 153[0:Rew:11.0,13.0] || -> equal(slbdtrb0(xK),slcrc0)**.
% 2.35/2.53 154[0:Rew:23.0,17.0,11.0,17.0] || aElementOf0(slcrc0,szDzozmdt0(xc))* -> .
% 2.35/2.53 160[0:Rew:11.0,49.1] aSet0(u) || equal(sbrdtbr0(u),xK)** -> equal(u,slcrc0).
% 2.35/2.53 163[0:MRR:81.0,37.2] aSet0(u) || aSubsetOf0(v,u)*+ aSubsetOf0(u,v)* -> equal(v,u).
% 2.35/2.53 166[0:MRR:108.0,108.1,37.2,37.2] aSet0(u) || aSubsetOf0(v,u)*+ aSubsetOf0(w,v)* -> aSubsetOf0(w,u)*.
% 2.35/2.53 204[0:SpR:42.1,21.1] aSet0(slbdtrb0(u)) || aElementOf0(u,szNzAzT0)* -> aElement0(u).
% 2.35/2.53 220[0:Res:32.1,35.1] aSet0(szNzAzT0) || aElementOf0(u,szNzAzT0)* -> aElement0(szszuzczcdt0(u)).
% 2.35/2.53 223[0:SSi:220.0,3.0,2.0] || aElementOf0(u,szNzAzT0)* -> aElement0(szszuzczcdt0(u)).
% 2.35/2.53 228[0:Res:10.0,37.1] aSet0(szNzAzT0) || -> aSet0(xS)*.
% 2.35/2.53 229[0:Res:24.0,37.1] aSet0(xT) || -> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 2.35/2.53 231[0:SSi:228.0,3.0,2.0] || -> aSet0(xS)*.
% 2.35/2.53 232[0:SSi:229.0,5.0,4.0] || -> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 2.35/2.53 284[0:EqR:51.1] || aElementOf0(u,szNzAzT0)* -> aSet0(slbdtrb0(u)).
% 2.35/2.53 286[0:MRR:204.0,284.1] || aElementOf0(u,szNzAzT0)* -> aElement0(u).
% 2.35/2.53 296[0:Res:9.0,284.0] || -> aSet0(slbdtrb0(xK))*.
% 2.35/2.53 302[0:Rew:153.0,296.0] || -> aSet0(slcrc0)*.
% 2.35/2.53 395[0:Res:24.0,52.2] isFinite0(xT) aSet0(xT) || -> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 2.35/2.53 400[0:SSi:395.1,395.0,5.0,4.0,5.0,4.0] || -> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 2.35/2.53 511[0:Res:24.0,163.1] aSet0(xT) || aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT).
% 2.35/2.53 516[0:SSi:511.0,5.0,4.0] || aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT).
% 2.35/2.53 534[0:Res:62.2,516.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) aSet0(xT) || -> aElementOf0(skf22(xT,u),xT)* equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT).
% 2.35/2.53 538[0:Res:62.3,284.0] aSet0(u) aSet0(szNzAzT0) || -> aSubsetOf0(szNzAzT0,u)* aSet0(slbdtrb0(skf22(szNzAzT0,v)))*.
% 2.35/2.53 539[0:Res:62.3,286.0] aSet0(u) aSet0(szNzAzT0) || -> aSubsetOf0(szNzAzT0,u)* aElement0(skf22(szNzAzT0,v))*.
% 2.35/2.53 540[0:Res:62.3,223.0] aSet0(u) aSet0(szNzAzT0) || -> aSubsetOf0(szNzAzT0,u)* aElement0(szszuzczcdt0(skf22(szNzAzT0,v)))*.
% 2.35/2.53 547[0:SSi:539.1,3.0,2.0] aSet0(u) || -> aSubsetOf0(szNzAzT0,u)* aElement0(skf22(szNzAzT0,v))*.
% 2.35/2.53 549[0:SSi:538.1,3.0,2.0] aSet0(u) || -> aSubsetOf0(szNzAzT0,u)* aSet0(slbdtrb0(skf22(szNzAzT0,v)))*.
% 2.35/2.53 550[0:SSi:540.1,3.0,2.0] aSet0(u) || -> aSubsetOf0(szNzAzT0,u)* aElement0(szszuzczcdt0(skf22(szNzAzT0,v)))*.
% 2.35/2.53 556[0:SSi:534.1,534.0,5.0,4.0,232.0,400.0] || -> aElementOf0(skf22(xT,u),xT)* equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT).
% 2.35/2.53 563[1:Spt:547.0,547.1] aSet0(u) || -> aSubsetOf0(szNzAzT0,u)*.
% 2.35/2.53 566[1:Res:563.1,52.2] aSet0(u) isFinite0(u) aSet0(u) || -> isFinite0(szNzAzT0)*.
% 2.35/2.53 579[1:Obv:566.0] isFinite0(u) aSet0(u) || -> isFinite0(szNzAzT0)*.
% 2.35/2.53 633[1:EmS:579.0,579.1,1.0,302.0] || -> isFinite0(szNzAzT0)*.
% 2.35/2.53 701[1:EmS:36.0,36.1,36.2,633.0,3.0,2.0] || -> .
% 2.35/2.53 705[1:Spt:701.0,547.2] || -> aElement0(skf22(szNzAzT0,u))*.
% 2.35/2.53 723[0:Res:10.0,166.1] aSet0(szNzAzT0) || aSubsetOf0(u,xS)* -> aSubsetOf0(u,szNzAzT0).
% 2.35/2.53 729[0:SSi:723.0,3.0,2.0] || aSubsetOf0(u,xS)* -> aSubsetOf0(u,szNzAzT0).
% 2.35/2.53 739[0:Res:9.0,61.1] aSet0(u) || aSubsetOf0(szNzAzT0,u)* -> aElementOf0(xK,u).
% 2.35/2.53 749[0:Res:62.2,739.1] aSet0(u) aSet0(szNzAzT0) aSet0(u) || -> aElementOf0(skf22(szNzAzT0,v),szNzAzT0)* aElementOf0(xK,u)*.
% 2.35/2.53 752[0:Obv:749.0] aSet0(szNzAzT0) aSet0(u) || -> aElementOf0(skf22(szNzAzT0,v),szNzAzT0)* aElementOf0(xK,u)*.
% 2.35/2.53 753[0:SSi:752.0,3.0,2.0] aSet0(u) || -> aElementOf0(skf22(szNzAzT0,v),szNzAzT0)* aElementOf0(xK,u)*.
% 2.35/2.53 799[2:Spt:556.1] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)**.
% 2.35/2.53 809[0:SpL:23.0,74.2] aSet0(xS) || aElementOf0(xK,szNzAzT0)* equal(szDzozmdt0(xc),slcrc0) -> isFinite0(xS).
% 2.35/2.53 810[0:SSi:809.0,231.0,6.0] || aElementOf0(xK,szNzAzT0)* equal(szDzozmdt0(xc),slcrc0) -> isFinite0(xS).
% 2.35/2.53 811[0:MRR:810.0,9.0] || equal(szDzozmdt0(xc),slcrc0)** -> isFinite0(xS).
% 2.35/2.53 812[3:Spt:549.0,549.1] aSet0(u) || -> aSubsetOf0(szNzAzT0,u)*.
% 2.35/2.53 813[3:MRR:739.1,812.1] aSet0(u) || -> aElementOf0(xK,u)*.
% 2.35/2.53 863[3:Res:813.1,30.0] aSet0(u) || equal(u,slcrc0)* -> .
% 2.35/2.53 868[3:MRR:863.0,18.1] || equal(u,slcrc0)* -> .
% 2.35/2.53 869[3:UnC:868.0,153.0] || -> .
% 2.35/2.53 874[3:Spt:869.0,549.2] || -> aSet0(slbdtrb0(skf22(szNzAzT0,u)))*.
% 2.35/2.53 925[4:Spt:550.0,550.1] aSet0(u) || -> aSubsetOf0(szNzAzT0,u)*.
% 2.35/2.53 926[4:MRR:739.1,925.1] aSet0(u) || -> aElementOf0(xK,u)*.
% 2.35/2.53 967[0:EqR:72.1] || aSubsetOf0(u,szNzAzT0) -> aElementOf0(szmzizndt0(u),u)* equal(u,slcrc0).
% 2.35/2.53 977[4:Res:926.1,30.0] aSet0(u) || equal(u,slcrc0)* -> .
% 2.35/2.53 981[4:MRR:977.0,18.1] || equal(u,slcrc0)* -> .
% 2.35/2.53 982[4:UnC:981.0,153.0] || -> .
% 2.35/2.53 986[4:Spt:982.0,550.2] || -> aElement0(szszuzczcdt0(skf22(szNzAzT0,u)))*.
% 2.35/2.53 1042[5:Spt:753.0,753.2] aSet0(u) || -> aElementOf0(xK,u)*.
% 2.35/2.53 1052[5:Res:1042.1,30.0] aSet0(u) || equal(u,slcrc0)* -> .
% 2.35/2.53 1056[5:MRR:1052.0,18.1] || equal(u,slcrc0)* -> .
% 2.35/2.53 1057[5:UnC:1056.0,153.0] || -> .
% 2.35/2.53 1061[5:Spt:1057.0,753.1] || -> aElementOf0(skf22(szNzAzT0,u),szNzAzT0)*.
% 2.35/2.53 1098[0:Res:967.1,35.1] aSet0(u) || aSubsetOf0(u,szNzAzT0)* -> equal(u,slcrc0) aElement0(szmzizndt0(u)).
% 2.35/2.53 1165[2:SpR:799.0,78.2] aFunction0(xc) || aElementOf0(u,szDzozmdt0(xc)) -> aElementOf0(sdtlpdtrp0(xc,u),xT)*.
% 2.35/2.53 1169[2:SSi:1165.0,7.0] || aElementOf0(u,szDzozmdt0(xc)) -> aElementOf0(sdtlpdtrp0(xc,u),xT)*.
% 2.35/2.53 1171[2:Res:1169.1,35.1] aSet0(xT) || aElementOf0(u,szDzozmdt0(xc))* -> aElement0(sdtlpdtrp0(xc,u)).
% 2.35/2.53 1173[2:SSi:1171.0,5.0,4.0] || aElementOf0(u,szDzozmdt0(xc))* -> aElement0(sdtlpdtrp0(xc,u)).
% 2.35/2.53 1217[2:Res:43.2,1173.0] aSet0(szDzozmdt0(xc)) || -> equal(szDzozmdt0(xc),slcrc0) aElement0(sdtlpdtrp0(xc,skf21(szDzozmdt0(xc))))*.
% 2.43/2.60 1221[2:SSi:1217.0,22.0,7.1] || -> equal(szDzozmdt0(xc),slcrc0) aElement0(sdtlpdtrp0(xc,skf21(szDzozmdt0(xc))))*.
% 2.43/2.60 1225[6:Spt:1221.0] || -> equal(szDzozmdt0(xc),slcrc0)**.
% 2.43/2.60 1233[6:Rew:1225.0,811.0] || equal(slcrc0,slcrc0) -> isFinite0(xS)*.
% 2.43/2.60 1249[6:Obv:1233.0] || -> isFinite0(xS)*.
% 2.43/2.60 1262[6:EmS:36.0,36.1,36.2,1249.0,6.0,231.0] || -> .
% 2.43/2.60 1271[6:Spt:1262.0,1221.0,1225.0] || equal(szDzozmdt0(xc),slcrc0)** -> .
% 2.43/2.60 1272[6:Spt:1262.0,1221.1] || -> aElement0(sdtlpdtrp0(xc,skf21(szDzozmdt0(xc))))*.
% 2.43/2.60 2177[0:SpL:23.0,100.3] aSet0(xS) || aElementOf0(u,v)* aElementOf0(xK,szNzAzT0) equal(v,szDzozmdt0(xc)) -> aSubsetOf0(u,xS)*.
% 2.43/2.60 2178[0:SSi:2177.0,231.0,6.0] || aElementOf0(u,v)* aElementOf0(xK,szNzAzT0) equal(v,szDzozmdt0(xc)) -> aSubsetOf0(u,xS)*.
% 2.43/2.60 2179[0:MRR:2178.1,9.0] || aElementOf0(u,v)* equal(v,szDzozmdt0(xc))+ -> aSubsetOf0(u,xS)*.
% 2.43/2.60 2182[0:EqR:2179.1] || aElementOf0(u,szDzozmdt0(xc))* -> aSubsetOf0(u,xS).
% 2.43/2.60 2185[0:Res:43.2,2182.0] aSet0(szDzozmdt0(xc)) || -> equal(szDzozmdt0(xc),slcrc0) aSubsetOf0(skf21(szDzozmdt0(xc)),xS)*.
% 2.43/2.60 2192[0:SSi:2185.0,22.0,7.1] || -> equal(szDzozmdt0(xc),slcrc0) aSubsetOf0(skf21(szDzozmdt0(xc)),xS)*.
% 2.43/2.60 2193[6:MRR:2192.0,1271.0] || -> aSubsetOf0(skf21(szDzozmdt0(xc)),xS)*.
% 2.43/2.60 2203[6:Res:2193.0,37.1] aSet0(xS) || -> aSet0(skf21(szDzozmdt0(xc)))*.
% 2.43/2.60 2204[6:Res:2193.0,729.0] || -> aSubsetOf0(skf21(szDzozmdt0(xc)),szNzAzT0)*.
% 2.43/2.60 2205[6:SSi:2203.0,231.0,6.0] || -> aSet0(skf21(szDzozmdt0(xc)))*.
% 2.43/2.60 2213[6:Res:2204.0,1098.1] aSet0(skf21(szDzozmdt0(xc))) || -> equal(skf21(szDzozmdt0(xc)),slcrc0) aElement0(szmzizndt0(skf21(szDzozmdt0(xc))))*.
% 2.43/2.60 2222[6:SSi:2213.0,2205.0] || -> equal(skf21(szDzozmdt0(xc)),slcrc0) aElement0(szmzizndt0(skf21(szDzozmdt0(xc))))*.
% 2.43/2.60 2339[7:Spt:2222.0] || -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 2355[7:SpR:2339.0,43.2] aSet0(szDzozmdt0(xc)) || -> equal(szDzozmdt0(xc),slcrc0) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 2.43/2.60 2361[7:SSi:2355.0,22.0,7.1] || -> equal(szDzozmdt0(xc),slcrc0) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 2.43/2.60 2362[7:MRR:2361.0,2361.1,1271.0,154.0] || -> .
% 2.43/2.60 2363[7:Spt:2362.0,2222.0,2339.0] || equal(skf21(szDzozmdt0(xc)),slcrc0)** -> .
% 2.43/2.60 2364[7:Spt:2362.0,2222.1] || -> aElement0(szmzizndt0(skf21(szDzozmdt0(xc))))*.
% 2.43/2.60 2551[0:EqR:111.3] aSet0(u) || aElementOf0(v,slbdtsldtrb0(u,w))* aElementOf0(w,szNzAzT0) -> equal(sbrdtbr0(v),w).
% 2.43/2.60 6975[0:SpL:23.0,2551.1] aSet0(xS) || aElementOf0(u,szDzozmdt0(xc))* aElementOf0(xK,szNzAzT0) -> equal(sbrdtbr0(u),xK).
% 2.43/2.60 6999[0:SSi:6975.0,231.0,6.0] || aElementOf0(u,szDzozmdt0(xc))* aElementOf0(xK,szNzAzT0) -> equal(sbrdtbr0(u),xK).
% 2.43/2.60 7000[0:MRR:6999.1,9.0] || aElementOf0(u,szDzozmdt0(xc))* -> equal(sbrdtbr0(u),xK).
% 2.43/2.60 7026[0:Res:43.2,7000.0] aSet0(szDzozmdt0(xc)) || -> equal(szDzozmdt0(xc),slcrc0) equal(sbrdtbr0(skf21(szDzozmdt0(xc))),xK)**.
% 2.43/2.60 7097[0:SSi:7026.0,22.0,7.1] || -> equal(szDzozmdt0(xc),slcrc0) equal(sbrdtbr0(skf21(szDzozmdt0(xc))),xK)**.
% 2.43/2.60 7098[6:MRR:7097.0,1271.0] || -> equal(sbrdtbr0(skf21(szDzozmdt0(xc))),xK)**.
% 2.43/2.60 7174[6:SpL:7098.0,160.1] aSet0(skf21(szDzozmdt0(xc))) || equal(xK,xK) -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 7182[6:Obv:7174.1] aSet0(skf21(szDzozmdt0(xc))) || -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 7183[6:SSi:7182.0,2205.0] || -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 7184[7:MRR:7183.0,2363.0] || -> .
% 2.43/2.60 7187[2:Spt:7184.0,556.1,799.0] || equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)** -> .
% 2.43/2.60 7188[2:Spt:7184.0,556.0] || -> aElementOf0(skf22(xT,u),xT)*.
% 2.43/2.60 7517[3:Spt:2192.0] || -> equal(szDzozmdt0(xc),slcrc0)**.
% 2.43/2.60 7556[3:Rew:7517.0,811.0] || equal(slcrc0,slcrc0) -> isFinite0(xS)*.
% 2.43/2.60 7655[3:Obv:7556.0] || -> isFinite0(xS)*.
% 2.43/2.60 7725[3:EmS:36.0,36.1,36.2,7655.0,6.0,231.0] || -> .
% 2.43/2.60 7735[3:Spt:7725.0,2192.0,7517.0] || equal(szDzozmdt0(xc),slcrc0)** -> .
% 2.43/2.60 7736[3:Spt:7725.0,2192.1] || -> aSubsetOf0(skf21(szDzozmdt0(xc)),xS)*.
% 2.43/2.60 7737[3:MRR:7097.0,7735.0] || -> equal(sbrdtbr0(skf21(szDzozmdt0(xc))),xK)**.
% 2.43/2.60 7747[3:Res:7736.0,37.1] aSet0(xS) || -> aSet0(skf21(szDzozmdt0(xc)))*.
% 2.43/2.60 7750[3:SSi:7747.0,231.0,6.0] || -> aSet0(skf21(szDzozmdt0(xc)))*.
% 2.43/2.60 7804[3:SpL:7737.0,160.1] aSet0(skf21(szDzozmdt0(xc))) || equal(xK,xK) -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 7813[3:Obv:7804.1] aSet0(skf21(szDzozmdt0(xc))) || -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 7814[3:SSi:7813.0,7750.0] || -> equal(skf21(szDzozmdt0(xc)),slcrc0)**.
% 2.43/2.60 7838[3:SpR:7814.0,43.2] aSet0(szDzozmdt0(xc)) || -> equal(szDzozmdt0(xc),slcrc0) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 2.43/2.60 7849[3:SSi:7838.0,22.0,7.1] || -> equal(szDzozmdt0(xc),slcrc0) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 2.43/2.60 7850[3:MRR:7849.0,7849.1,7735.0,154.0] || -> .
% 2.43/2.60 % SZS output end Refutation
% 2.43/2.60 Formulae used in the proof : mEmpFin mNATSet m__3291 m__3435 m__3453 m__3418 m__3462 mSegZero m__ mDefEmp mCardS mDomSet mSuccNum mEOfElem mCountNFin mDefSub mCardSeg mCardEmpty mDefSeg mSubFSet mDefMin mSelNSet mImgRng mSubASymm mDefSel mSubTrans
% 2.43/2.60
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