TSTP Solution File: NUM563+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM563+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 0.86s 1.05s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM563+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 : Wed Jul 6 18:50:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.86/1.05
% 0.86/1.05 SPASS V 3.9
% 0.86/1.05 SPASS beiseite: Proof found.
% 0.86/1.05 % SZS status Theorem
% 0.86/1.05 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.05 SPASS derived 1519 clauses, backtracked 463 clauses, performed 19 splits and kept 1178 clauses.
% 0.86/1.05 SPASS allocated 102484 KBytes.
% 0.86/1.05 SPASS spent 0:00:00.71 on the problem.
% 0.86/1.05 0:00:00.04 for the input.
% 0.86/1.05 0:00:00.46 for the FLOTTER CNF translation.
% 0.86/1.05 0:00:00.02 for inferences.
% 0.86/1.05 0:00:00.00 for the backtracking.
% 0.86/1.05 0:00:00.14 for the reduction.
% 0.86/1.05
% 0.86/1.05
% 0.86/1.05 Here is a proof with depth 4, length 260 :
% 0.86/1.05 % SZS output start Refutation
% 0.86/1.05 4[0:Inp] || -> aSet0(xT)*.
% 0.86/1.05 5[0:Inp] || -> isFinite0(xT)*.
% 0.86/1.05 6[0:Inp] || -> aSet0(xS)*.
% 0.86/1.05 7[0:Inp] || -> isCountable0(xS)*.
% 0.86/1.05 9[0:Inp] || -> equal(xK,sz00)**.
% 0.86/1.05 10[0:Inp] || -> aElementOf0(sz00,szNzAzT0)*.
% 0.86/1.05 12[0:Inp] || -> aSubsetOf0(xS,szNzAzT0)*.
% 0.86/1.05 13[0:Inp] || -> aSet0(skf32(u,v))*.
% 0.86/1.05 15[0:Inp] || -> equal(slbdtrb0(sz00),slcrc0)**.
% 0.86/1.05 18[0:Inp] || -> aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 0.86/1.05 21[0:Inp] || aSubsetOf0(u,xS)* -> SkP6(u).
% 0.86/1.05 27[0:Inp] || -> equal(slbdtsldtrb0(xS,xK),szDzozmdt0(xc))**.
% 0.86/1.05 28[0:Inp] || -> aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)*.
% 0.86/1.05 35[0:Inp] || aElementOf0(u,szDzozmdt0(xc))* -> aSet0(u).
% 0.86/1.05 36[0:Inp] || aElementOf0(u,v)* equal(v,slcrc0) -> .
% 0.86/1.05 41[0:Inp] || aElementOf0(u,szDzozmdt0(xc))* -> aSubsetOf0(u,xS).
% 0.86/1.05 42[0:Inp] aSet0(u) || -> SkP6(u) aElementOf0(skf33(u),u)*.
% 0.86/1.05 43[0:Inp] aSet0(u) || aElementOf0(v,u)* -> aElement0(v).
% 0.86/1.05 50[0:Inp] || aElementOf0(u,szNzAzT0) -> equal(sbrdtbr0(slbdtrb0(u)),u)**.
% 0.86/1.05 51[0:Inp] || aElementOf0(u,szDzozmdt0(xc))* -> equal(sbrdtbr0(u),xK).
% 0.86/1.05 52[0:Inp] isCountable0(u) || aSubsetOf0(u,szNzAzT0)* -> SkP2(u).
% 0.86/1.05 54[0:Inp] aSet0(u) || aElementOf0(skf33(v),xS)*+ -> SkP6(u)*.
% 0.86/1.05 55[0:Inp] aSet0(u) || -> equal(u,slcrc0) aElementOf0(skf34(u),u)*.
% 0.86/1.05 58[0:Inp] || aElementOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> aElementOf0(u,xT).
% 0.86/1.05 62[0:Inp] aSet0(u) || equal(sbrdtbr0(u),sz00)** -> equal(u,slcrc0).
% 0.86/1.05 66[0:Inp] isFinite0(u) aSet0(u) || aSubsetOf0(v,u)* -> isFinite0(v).
% 0.86/1.05 72[0:Inp] || aElementOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))*+ -> aElementOf0(skf55(v),szDzozmdt0(xc))*.
% 0.86/1.05 79[0:Inp] || aElementOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> equal(sdtlpdtrp0(xc,skf55(u)),u).
% 0.86/1.05 90[0:Inp] isCountable0(u) SkP6(u) || aElementOf0(v,xT) -> aSubsetOf0(skf32(v,u),u)*.
% 0.86/1.05 95[0:Inp] aSet0(u) || aElementOf0(v,szNzAzT0) equal(w,slbdtsldtrb0(u,v))* -> aSet0(w)*.
% 0.86/1.05 97[0:Inp] SkP6(u) isCountable0(u) || aElementOf0(v,xT) -> equal(sbrdtbr0(skf32(v,u)),xK)**.
% 0.86/1.05 104[0:Inp] aSet0(u) || equal(sbrdtbr0(u),xK) -> aElementOf0(skf54(u),u)* aElementOf0(u,szDzozmdt0(xc)).
% 0.86/1.05 105[0:Inp] SkP6(u) isCountable0(u) || aElementOf0(v,xT) -> aElementOf0(skf32(v,u),slbdtsldtrb0(u,xK))*.
% 0.86/1.05 116[0:Inp] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)* -> aElementOf0(v,sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 0.86/1.05 119[0:Inp] isCountable0(u) SkP6(u) || aElementOf0(v,xT) equal(sdtlpdtrp0(xc,skf32(v,u)),v)** -> .
% 0.86/1.05 126[0:Inp] isCountable0(u) SkP6(u) || aElementOf0(v,xT) aElementOf0(w,skf32(v,u))* -> aElementOf0(w,u).
% 0.86/1.05 200[0:Rew:9.0,27.0] || -> equal(slbdtsldtrb0(xS,sz00),szDzozmdt0(xc))**.
% 0.86/1.05 201[0:Rew:9.0,51.1] || aElementOf0(u,szDzozmdt0(xc))* -> equal(sbrdtbr0(u),sz00).
% 0.86/1.05 204[0:Rew:9.0,104.1] aSet0(u) || equal(sbrdtbr0(u),sz00) -> aElementOf0(u,szDzozmdt0(xc)) aElementOf0(skf54(u),u)*.
% 0.86/1.05 205[0:Rew:9.0,97.3] isCountable0(u) SkP6(u) || aElementOf0(v,xT) -> equal(sbrdtbr0(skf32(v,u)),sz00)**.
% 0.86/1.05 208[0:Rew:9.0,105.3] isCountable0(u) SkP6(u) || aElementOf0(v,xT) -> aElementOf0(skf32(v,u),slbdtsldtrb0(u,sz00))*.
% 0.86/1.05 318[0:Res:200.0,95.1] aSet0(xS) || aElementOf0(sz00,szNzAzT0)* -> aSet0(szDzozmdt0(xc)).
% 0.86/1.05 322[0:Res:6.0,42.0] || -> aElementOf0(skf33(xS),xS)* SkP6(xS).
% 0.86/1.05 323[0:Res:4.0,42.0] || -> SkP6(xT) aElementOf0(skf33(xT),xT)*.
% 0.86/1.05 329[0:Res:6.0,54.0] || aElementOf0(skf33(u),xS)* -> SkP6(xS).
% 0.86/1.05 336[0:Res:7.0,90.1] SkP6(xS) || aElementOf0(u,xT) -> aSubsetOf0(skf32(u,xS),xS)*.
% 0.86/1.05 339[0:Res:4.0,204.0] || equal(sbrdtbr0(xT),sz00) -> aElementOf0(xT,szDzozmdt0(xc)) aElementOf0(skf54(xT),xT)*.
% 0.86/1.05 345[0:Res:7.0,205.1] SkP6(xS) || aElementOf0(u,xT) -> equal(sbrdtbr0(skf32(u,xS)),sz00)**.
% 0.86/1.05 354[0:Res:7.0,208.1] SkP6(xS) || aElementOf0(u,xT) -> aElementOf0(skf32(u,xS),slbdtsldtrb0(xS,sz00))*.
% 0.86/1.05 356[0:Res:7.0,119.1] SkP6(xS) || equal(sdtlpdtrp0(xc,skf32(u,xS)),u)** aElementOf0(u,xT) -> .
% 0.86/1.05 358[0:Res:7.0,126.1] SkP6(xS) || aElementOf0(u,skf32(v,xS))* aElementOf0(v,xT) -> aElementOf0(u,xS).
% 0.86/1.05 402[0:MRR:322.0,329.0] || -> SkP6(xS)*.
% 0.86/1.05 405[0:MRR:318.0,318.1,6.0,10.0] || -> aSet0(szDzozmdt0(xc))*.
% 0.86/1.05 408[0:MRR:336.0,402.0] || aElementOf0(u,xT) -> aSubsetOf0(skf32(u,xS),xS)*.
% 0.86/1.05 414[0:MRR:345.0,402.0] || aElementOf0(u,xT) -> equal(sbrdtbr0(skf32(u,xS)),sz00)**.
% 0.86/1.05 416[0:Rew:200.0,354.2] SkP6(xS) || aElementOf0(u,xT) -> aElementOf0(skf32(u,xS),szDzozmdt0(xc))*.
% 0.86/1.05 417[0:MRR:416.0,402.0] || aElementOf0(u,xT) -> aElementOf0(skf32(u,xS),szDzozmdt0(xc))*.
% 0.86/1.05 418[0:MRR:356.0,402.0] || aElementOf0(u,xT) equal(sdtlpdtrp0(xc,skf32(u,xS)),u)** -> .
% 0.86/1.05 419[0:MRR:358.0,402.0] || aElementOf0(u,xT) aElementOf0(v,skf32(u,xS))* -> aElementOf0(v,xS).
% 0.86/1.05 436[1:Spt:54.0,54.2] aSet0(u) || -> SkP6(u)*.
% 0.86/1.05 479[0:Res:408.1,21.0] || aElementOf0(u,xT) -> SkP6(skf32(u,xS))*.
% 0.86/1.05 483[0:SpR:15.0,50.1] || aElementOf0(sz00,szNzAzT0)* -> equal(sbrdtbr0(slcrc0),sz00).
% 0.86/1.05 484[0:MRR:483.0,10.0] || -> equal(sbrdtbr0(slcrc0),sz00)**.
% 0.86/1.05 485[0:Res:12.0,52.1] isCountable0(xS) || -> SkP2(xS)*.
% 0.86/1.05 488[0:SSi:485.0,7.0,6.0,402.0] || -> SkP2(xS)*.
% 0.86/1.05 567[0:Res:55.2,58.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 582[0:SSi:567.0,18.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 592[0:SpL:414.1,62.1] aSet0(skf32(u,xS)) || aElementOf0(u,xT) equal(sz00,sz00) -> equal(skf32(u,xS),slcrc0)**.
% 0.86/1.05 593[0:Obv:592.2] aSet0(skf32(u,xS)) || aElementOf0(u,xT) -> equal(skf32(u,xS),slcrc0)**.
% 0.86/1.05 594[0:SSi:593.0,13.0,7.0,6.0,402.0,488.0] || aElementOf0(u,xT) -> equal(skf32(u,xS),slcrc0)**.
% 0.86/1.05 596[0:Rew:594.1,479.1] || aElementOf0(u,xT)* -> SkP6(slcrc0).
% 0.86/1.05 597[0:Rew:594.1,417.1] || aElementOf0(u,xT)*+ -> aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 0.86/1.05 601[0:Rew:594.1,418.1] || aElementOf0(u,xT)* equal(sdtlpdtrp0(xc,slcrc0),u)*+ -> .
% 0.86/1.05 602[0:Rew:594.1,419.1] || aElementOf0(u,xT)* aElementOf0(v,slcrc0)* -> aElementOf0(v,xS).
% 0.86/1.05 603[0:Res:323.1,596.0] || -> SkP6(xT) SkP6(slcrc0)*.
% 0.86/1.05 604[0:Res:55.2,596.0] aSet0(xT) || -> equal(slcrc0,xT) SkP6(slcrc0)*.
% 0.86/1.05 605[0:SSi:604.0,5.0,4.0] || -> equal(slcrc0,xT) SkP6(slcrc0)*.
% 0.86/1.05 606[2:Spt:603.0] || -> SkP6(xT)*.
% 0.86/1.05 613[3:Spt:605.0] || -> equal(slcrc0,xT)**.
% 0.86/1.05 617[3:Rew:613.0,62.2] aSet0(u) || equal(sbrdtbr0(u),sz00)** -> equal(u,xT).
% 0.86/1.05 618[3:Rew:613.0,55.1] aSet0(u) || -> equal(u,xT) aElementOf0(skf34(u),u)*.
% 0.86/1.05 625[3:Rew:613.0,484.0] || -> equal(sbrdtbr0(xT),sz00)**.
% 0.86/1.05 641[3:Rew:613.0,582.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 645[3:Rew:613.0,597.1] || aElementOf0(u,xT)* -> aElementOf0(xT,szDzozmdt0(xc))*.
% 0.86/1.05 646[3:Rew:613.0,601.1] || aElementOf0(u,xT)* equal(sdtlpdtrp0(xc,xT),u)*+ -> .
% 0.86/1.05 649[3:Rew:625.0,339.0] || equal(sz00,sz00) -> aElementOf0(xT,szDzozmdt0(xc)) aElementOf0(skf54(xT),xT)*.
% 0.86/1.05 653[3:Obv:649.0] || -> aElementOf0(xT,szDzozmdt0(xc)) aElementOf0(skf54(xT),xT)*.
% 0.86/1.05 654[3:MRR:653.1,645.0] || -> aElementOf0(xT,szDzozmdt0(xc))*.
% 0.86/1.05 800[3:Res:618.2,72.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 801[3:SSi:800.0,18.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 802[3:Rew:801.0,72.0] || aElementOf0(u,xT)*+ -> aElementOf0(skf55(v),szDzozmdt0(xc))*.
% 0.86/1.05 803[4:Spt:802.0] || aElementOf0(u,xT)* -> .
% 0.86/1.05 808[4:MRR:641.1,803.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)**.
% 0.86/1.05 813[4:Rew:808.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)* -> aElementOf0(v,xT)*.
% 0.86/1.05 815[4:MRR:813.2,803.0] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> .
% 0.86/1.05 819[4:EqR:815.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.05 820[4:UnC:819.0,654.0] || -> .
% 0.86/1.05 821[4:Spt:820.0,802.1] || -> aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 822[4:Res:821.0,201.0] || -> equal(sbrdtbr0(skf55(u)),sz00)**.
% 0.86/1.05 823[4:Res:821.0,41.0] || -> aSubsetOf0(skf55(u),xS)*.
% 0.86/1.05 824[4:Res:821.0,35.0] || -> aSet0(skf55(u))*.
% 0.86/1.05 826[4:Res:821.0,43.1] aSet0(szDzozmdt0(xc)) || -> aElement0(skf55(u))*.
% 0.86/1.05 827[4:SSi:826.0,405.0] || -> aElement0(skf55(u))*.
% 0.86/1.05 828[4:Res:823.0,21.0] || -> SkP6(skf55(u))*.
% 0.86/1.05 834[4:SpL:822.0,617.1] aSet0(skf55(u)) || equal(sz00,sz00) -> equal(skf55(u),xT)**.
% 0.86/1.05 838[4:Obv:834.1] aSet0(skf55(u)) || -> equal(skf55(u),xT)**.
% 0.86/1.05 839[4:SSi:838.0,824.0,827.0,828.0] || -> equal(skf55(u),xT)**.
% 0.86/1.05 846[4:Rew:839.0,79.1] || aElementOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> equal(sdtlpdtrp0(xc,xT),u).
% 0.86/1.05 860[4:Res:618.2,846.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,xT))**.
% 0.86/1.05 861[4:SSi:860.0,18.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,xT))**.
% 0.86/1.05 862[4:Rew:861.1,641.1] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) aElementOf0(sdtlpdtrp0(xc,xT),xT)*.
% 0.86/1.05 895[3:EqR:646.1] || aElementOf0(sdtlpdtrp0(xc,xT),xT)* -> .
% 0.86/1.05 896[4:MRR:862.1,895.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)**.
% 0.86/1.05 899[4:Rew:896.0,846.0] || aElementOf0(u,xT)* -> equal(sdtlpdtrp0(xc,xT),u)*.
% 0.86/1.05 903[4:Rew:896.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)* -> aElementOf0(v,xT)*.
% 0.86/1.05 904[4:MRR:899.1,646.1] || aElementOf0(u,xT)* -> .
% 0.86/1.05 908[4:MRR:903.2,904.0] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> .
% 0.86/1.05 912[4:EqR:908.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.05 913[4:UnC:912.0,654.0] || -> .
% 0.86/1.05 914[3:Spt:913.0,605.0,613.0] || equal(slcrc0,xT)** -> .
% 0.86/1.05 915[3:Spt:913.0,605.1] || -> SkP6(slcrc0)*.
% 0.86/1.05 973[0:EqR:601.1] || aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)* -> .
% 0.86/1.05 991[0:Res:55.2,597.0] aSet0(xT) || -> equal(slcrc0,xT) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 0.86/1.05 1004[2:SSi:991.0,5.0,4.0,606.0] || -> equal(slcrc0,xT) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 0.86/1.05 1005[3:MRR:1004.0,914.0] || -> aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 0.86/1.05 1045[0:Res:55.2,72.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 1046[0:SSi:1045.0,18.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 1047[0:Rew:1046.0,72.0] || aElementOf0(u,slcrc0)*+ -> aElementOf0(skf55(v),szDzozmdt0(xc))*.
% 0.86/1.05 1129[4:Spt:1046.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)**.
% 0.86/1.05 1135[4:Rew:1129.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> aElementOf0(v,slcrc0)*.
% 0.86/1.05 1273[4:EqR:1135.1] || aElementOf0(u,szDzozmdt0(xc)) -> aElementOf0(sdtlpdtrp0(xc,u),slcrc0)*.
% 0.86/1.05 1277[4:Res:1273.1,36.0] || aElementOf0(u,szDzozmdt0(xc))* equal(slcrc0,slcrc0) -> .
% 0.86/1.05 1284[4:Obv:1277.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.05 1285[4:UnC:1284.0,1005.0] || -> .
% 0.86/1.05 1286[4:Spt:1285.0,1046.0,1129.0] || equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)** -> .
% 0.86/1.05 1287[4:Spt:1285.0,1046.1] || -> aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 1288[4:MRR:582.0,1286.0] || -> aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 1289[4:Res:1287.0,201.0] || -> equal(sbrdtbr0(skf55(u)),sz00)**.
% 0.86/1.05 1290[4:Res:1287.0,41.0] || -> aSubsetOf0(skf55(u),xS)*.
% 0.86/1.05 1291[4:Res:1287.0,35.0] || -> aSet0(skf55(u))*.
% 0.86/1.05 1295[4:Res:1287.0,43.1] aSet0(szDzozmdt0(xc)) || -> aElement0(skf55(u))*.
% 0.86/1.05 1296[4:SSi:1295.0,405.0] || -> aElement0(skf55(u))*.
% 0.86/1.05 1300[4:Res:1290.0,21.0] || -> SkP6(skf55(u))*.
% 0.86/1.05 1311[4:SpL:1289.0,62.1] aSet0(skf55(u)) || equal(sz00,sz00) -> equal(skf55(u),slcrc0)**.
% 0.86/1.05 1318[4:Obv:1311.1] aSet0(skf55(u)) || -> equal(skf55(u),slcrc0)**.
% 0.86/1.05 1319[4:SSi:1318.0,1291.0,1296.0,1300.0] || -> equal(skf55(u),slcrc0)**.
% 0.86/1.05 1327[4:Rew:1319.0,79.1] || aElementOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> equal(sdtlpdtrp0(xc,slcrc0),u).
% 0.86/1.05 1331[0:Res:28.0,66.2] isFinite0(xT) aSet0(xT) || -> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 0.86/1.05 1333[2:SSi:1331.1,1331.0,5.0,4.0,606.0,5.0,4.0,606.0] || -> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 0.86/1.05 1340[4:Res:55.2,1327.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0))**.
% 0.86/1.05 1342[4:SSi:1340.0,18.0,1333.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0))**.
% 0.86/1.05 1343[4:MRR:1342.0,1286.0] || -> equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0))**.
% 0.86/1.05 1344[4:Rew:1343.0,1288.0] || -> aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)*.
% 0.86/1.05 1346[4:MRR:1344.0,973.0] || -> .
% 0.86/1.05 1350[2:Spt:1346.0,603.0,606.0] || SkP6(xT)* -> .
% 0.86/1.05 1351[2:Spt:1346.0,603.1] || -> SkP6(slcrc0)*.
% 0.86/1.05 1366[0:SSi:991.0,5.0,4.0] || -> equal(slcrc0,xT) aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 0.86/1.05 1370[0:SSi:1331.1,1331.0,5.0,4.0,5.0,4.0] || -> isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 0.86/1.05 1380[2:Res:436.1,1350.0] aSet0(xT) || -> .
% 0.86/1.05 1381[2:SSi:1380.0,5.0,4.0] || -> .
% 0.86/1.05 1382[1:Spt:1381.0,54.1] || aElementOf0(skf33(u),xS)* -> .
% 0.86/1.05 1420[2:Spt:605.0] || -> equal(slcrc0,xT)**.
% 0.86/1.05 1426[2:Rew:1420.0,484.0] || -> equal(sbrdtbr0(xT),sz00)**.
% 0.86/1.05 1429[2:Rew:1420.0,62.2] aSet0(u) || equal(sbrdtbr0(u),sz00)** -> equal(u,xT).
% 0.86/1.05 1430[2:Rew:1420.0,55.1] aSet0(u) || -> equal(u,xT) aElementOf0(skf34(u),u)*.
% 0.86/1.05 1438[2:Rew:1420.0,601.1] || aElementOf0(u,xT)* equal(sdtlpdtrp0(xc,xT),u)* -> .
% 0.86/1.05 1439[2:Rew:1420.0,973.0] || aElementOf0(sdtlpdtrp0(xc,xT),xT)* -> .
% 0.86/1.05 1449[2:Rew:1420.0,1047.0] || aElementOf0(u,xT)*+ -> aElementOf0(skf55(v),szDzozmdt0(xc))*.
% 0.86/1.05 1462[2:Rew:1420.0,602.1] || aElementOf0(u,xT)* aElementOf0(v,xT) -> aElementOf0(v,xS)*.
% 0.86/1.05 1463[2:Rew:1420.0,582.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 1478[2:Rew:1420.0,597.1] || aElementOf0(u,xT)* -> aElementOf0(xT,szDzozmdt0(xc))*.
% 0.86/1.05 1483[2:Rew:1426.0,339.0] || equal(sz00,sz00) -> aElementOf0(xT,szDzozmdt0(xc)) aElementOf0(skf54(xT),xT)*.
% 0.86/1.05 1485[2:Con:1462.0] || aElementOf0(u,xT) -> aElementOf0(u,xS)*.
% 0.86/1.05 1486[2:Obv:1483.0] || -> aElementOf0(xT,szDzozmdt0(xc)) aElementOf0(skf54(xT),xT)*.
% 0.86/1.05 1487[2:MRR:1486.1,1478.0] || -> aElementOf0(xT,szDzozmdt0(xc))*.
% 0.86/1.05 1553[3:Spt:1449.0] || aElementOf0(u,xT)* -> .
% 0.86/1.05 1559[3:MRR:1463.1,1553.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)**.
% 0.86/1.05 1563[3:Rew:1559.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)* -> aElementOf0(v,xT)*.
% 0.86/1.05 1567[3:MRR:1563.2,1553.0] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> .
% 0.86/1.05 1589[0:Res:42.2,35.0] aSet0(szDzozmdt0(xc)) || -> SkP6(szDzozmdt0(xc)) aSet0(skf33(szDzozmdt0(xc)))*.
% 0.86/1.05 1599[0:SSi:1589.0,405.0] || -> SkP6(szDzozmdt0(xc)) aSet0(skf33(szDzozmdt0(xc)))*.
% 0.86/1.05 1663[3:EqR:1567.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.05 1664[3:UnC:1663.0,1487.0] || -> .
% 0.86/1.05 1665[3:Spt:1664.0,1449.1] || -> aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.05 1666[3:Res:1665.0,201.0] || -> equal(sbrdtbr0(skf55(u)),sz00)**.
% 0.86/1.05 1667[3:Res:1665.0,41.0] || -> aSubsetOf0(skf55(u),xS)*.
% 0.86/1.05 1668[3:Res:1665.0,35.0] || -> aSet0(skf55(u))*.
% 0.86/1.05 1672[3:Res:1665.0,43.1] aSet0(szDzozmdt0(xc)) || -> aElement0(skf55(u))*.
% 0.86/1.05 1673[3:SSi:1672.0,405.0] || -> aElement0(skf55(u))*.
% 0.86/1.05 1677[3:Res:1667.0,21.0] || -> SkP6(skf55(u))*.
% 0.86/1.05 1688[3:SpL:1666.0,1429.1] aSet0(skf55(u)) || equal(sz00,sz00) -> equal(skf55(u),xT)**.
% 0.86/1.05 1694[3:Obv:1688.1] aSet0(skf55(u)) || -> equal(skf55(u),xT)**.
% 0.86/1.05 1695[3:SSi:1694.0,1668.0,1673.0,1677.0] || -> equal(skf55(u),xT)**.
% 0.86/1.05 1703[3:Rew:1695.0,79.1] || aElementOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))* -> equal(sdtlpdtrp0(xc,xT),u).
% 0.86/1.05 1717[0:Res:42.2,58.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> SkP6(sdtlcdtrc0(xc,szDzozmdt0(xc))) aElementOf0(skf33(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 1719[0:SSi:1717.0,18.0,1370.0] || -> SkP6(sdtlcdtrc0(xc,szDzozmdt0(xc))) aElementOf0(skf33(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.05 1723[2:Res:1485.1,1382.0] || aElementOf0(skf33(u),xT)* -> .
% 0.86/1.05 1724[2:MRR:1719.1,1723.0] || -> SkP6(sdtlcdtrc0(xc,szDzozmdt0(xc)))*.
% 0.86/1.05 1732[3:Res:1430.2,1703.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,xT))**.
% 0.86/1.05 1733[3:SSi:1732.0,18.0,1370.0,1724.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,xT))**.
% 0.86/1.05 1734[3:Rew:1733.1,1463.1] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) aElementOf0(sdtlpdtrp0(xc,xT),xT)*.
% 0.86/1.05 1735[3:MRR:1734.1,1439.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)**.
% 0.86/1.05 1739[3:Rew:1735.0,1703.0] || aElementOf0(u,xT)* -> equal(sdtlpdtrp0(xc,xT),u)*.
% 0.86/1.06 1742[3:Rew:1735.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)* -> aElementOf0(v,xT)*.
% 0.86/1.06 1744[3:MRR:1739.1,1438.1] || aElementOf0(u,xT)* -> .
% 0.86/1.06 1748[3:MRR:1742.2,1744.0] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> .
% 0.86/1.06 1759[3:EqR:1748.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.06 1760[3:UnC:1759.0,1487.0] || -> .
% 0.86/1.06 1761[2:Spt:1760.0,605.0,1420.0] || equal(slcrc0,xT)** -> .
% 0.86/1.06 1762[2:Spt:1760.0,605.1] || -> SkP6(slcrc0)*.
% 0.86/1.06 1766[2:MRR:1366.0,1761.0] || -> aElementOf0(slcrc0,szDzozmdt0(xc))*.
% 0.86/1.06 1853[3:Spt:1599.0] || -> SkP6(szDzozmdt0(xc))*.
% 0.86/1.06 1967[0:Res:55.2,79.0] aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) equal(sdtlpdtrp0(xc,skf55(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))),skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))**.
% 0.86/1.06 1969[0:SSi:1967.0,18.0,1370.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0) equal(sdtlpdtrp0(xc,skf55(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))),skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))**.
% 0.86/1.06 2072[4:Spt:1046.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)**.
% 0.86/1.06 2080[4:Rew:2072.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> aElementOf0(v,slcrc0)*.
% 0.86/1.06 2110[4:EqR:2080.1] || aElementOf0(u,szDzozmdt0(xc)) -> aElementOf0(sdtlpdtrp0(xc,u),slcrc0)*.
% 0.86/1.06 2117[4:Res:2110.1,36.0] || aElementOf0(u,szDzozmdt0(xc))* equal(slcrc0,slcrc0) -> .
% 0.86/1.06 2124[4:Obv:2117.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.06 2125[4:UnC:2124.0,1766.0] || -> .
% 0.86/1.06 2126[4:Spt:2125.0,1046.0,2072.0] || equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)** -> .
% 0.86/1.06 2127[4:Spt:2125.0,1046.1] || -> aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.06 2128[4:MRR:582.0,2126.0] || -> aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.06 2129[4:MRR:1969.0,2126.0] || -> equal(sdtlpdtrp0(xc,skf55(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))),skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))**.
% 0.86/1.06 2130[4:Res:2127.0,201.0] || -> equal(sbrdtbr0(skf55(u)),sz00)**.
% 0.86/1.06 2131[4:Res:2127.0,41.0] || -> aSubsetOf0(skf55(u),xS)*.
% 0.86/1.06 2132[4:Res:2127.0,35.0] || -> aSet0(skf55(u))*.
% 0.86/1.06 2136[4:Res:2127.0,43.1] aSet0(szDzozmdt0(xc)) || -> aElement0(skf55(u))*.
% 0.86/1.06 2137[4:SSi:2136.0,405.0,1853.0] || -> aElement0(skf55(u))*.
% 0.86/1.06 2141[4:Res:2131.0,21.0] || -> SkP6(skf55(u))*.
% 0.86/1.06 2153[4:SpL:2130.0,62.1] aSet0(skf55(u)) || equal(sz00,sz00) -> equal(skf55(u),slcrc0)**.
% 0.86/1.06 2161[4:Obv:2153.1] aSet0(skf55(u)) || -> equal(skf55(u),slcrc0)**.
% 0.86/1.06 2162[4:SSi:2161.0,2132.0,2137.0,2141.0] || -> equal(skf55(u),slcrc0)**.
% 0.86/1.06 2171[4:Rew:2162.0,2129.0] || -> equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0))**.
% 0.86/1.06 2176[4:Rew:2171.0,2128.0] || -> aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)*.
% 0.86/1.06 2177[4:MRR:2176.0,973.0] || -> .
% 0.86/1.06 2182[3:Spt:2177.0,1599.0,1853.0] || SkP6(szDzozmdt0(xc))* -> .
% 0.86/1.06 2183[3:Spt:2177.0,1599.1] || -> aSet0(skf33(szDzozmdt0(xc)))*.
% 0.86/1.06 2236[4:Spt:1046.0] || -> equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)**.
% 0.86/1.06 2242[4:Rew:2236.0,116.2] || aElementOf0(u,szDzozmdt0(xc))* equal(sdtlpdtrp0(xc,u),v)*+ -> aElementOf0(v,slcrc0)*.
% 0.86/1.06 2256[4:EqR:2242.1] || aElementOf0(u,szDzozmdt0(xc)) -> aElementOf0(sdtlpdtrp0(xc,u),slcrc0)*.
% 0.86/1.06 2260[4:Res:2256.1,36.0] || aElementOf0(u,szDzozmdt0(xc))* equal(slcrc0,slcrc0) -> .
% 0.86/1.06 2267[4:Obv:2260.1] || aElementOf0(u,szDzozmdt0(xc))* -> .
% 0.86/1.06 2268[4:UnC:2267.0,1766.0] || -> .
% 0.86/1.06 2269[4:Spt:2268.0,1046.0,2236.0] || equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),slcrc0)** -> .
% 0.86/1.06 2270[4:Spt:2268.0,1046.1] || -> aElementOf0(skf55(u),szDzozmdt0(xc))*.
% 0.86/1.06 2271[4:MRR:582.0,2269.0] || -> aElementOf0(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)*.
% 0.86/1.06 2272[4:MRR:1969.0,2269.0] || -> equal(sdtlpdtrp0(xc,skf55(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))),skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))))**.
% 0.86/1.06 2273[4:Res:2270.0,201.0] || -> equal(sbrdtbr0(skf55(u)),sz00)**.
% 0.86/1.06 2274[4:Res:2270.0,41.0] || -> aSubsetOf0(skf55(u),xS)*.
% 0.86/1.06 2275[4:Res:2270.0,35.0] || -> aSet0(skf55(u))*.
% 0.86/1.06 2279[4:Res:2270.0,43.1] aSet0(szDzozmdt0(xc)) || -> aElement0(skf55(u))*.
% 0.86/1.06 2280[4:SSi:2279.0,405.0] || -> aElement0(skf55(u))*.
% 0.86/1.06 2284[4:Res:2274.0,21.0] || -> SkP6(skf55(u))*.
% 0.86/1.06 2296[4:SpL:2273.0,62.1] aSet0(skf55(u)) || equal(sz00,sz00) -> equal(skf55(u),slcrc0)**.
% 0.86/1.06 2304[4:Obv:2296.1] aSet0(skf55(u)) || -> equal(skf55(u),slcrc0)**.
% 0.86/1.06 2305[4:SSi:2304.0,2275.0,2280.0,2284.0] || -> equal(skf55(u),slcrc0)**.
% 0.86/1.06 2314[4:Rew:2305.0,2272.0] || -> equal(skf34(sdtlcdtrc0(xc,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0))**.
% 0.86/1.06 2319[4:Rew:2314.0,2271.0] || -> aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)*.
% 0.86/1.06 2320[4:MRR:2319.0,973.0] || -> .
% 0.86/1.06 % SZS output end Refutation
% 0.86/1.06 Formulae used in the proof : m__3291 m__3435 m__ mZeroNum mSegZero m__3453 mDefEmp mEOfElem mCardSeg m__3398 mCardEmpty mSubFSet mDefSel
% 0.86/1.06
%------------------------------------------------------------------------------