TSTP Solution File: NUM534+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM534+2 : 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 14:27:13 EDT 2022
% Result : Theorem 0.52s 0.71s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.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 : Thu Jul 7 06:44:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.52/0.71
% 0.52/0.71 SPASS V 3.9
% 0.52/0.71 SPASS beiseite: Proof found.
% 0.52/0.71 % SZS status Theorem
% 0.52/0.71 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.71 SPASS derived 2005 clauses, backtracked 128 clauses, performed 9 splits and kept 687 clauses.
% 0.52/0.71 SPASS allocated 99706 KBytes.
% 0.52/0.71 SPASS spent 0:00:00.36 on the problem.
% 0.52/0.71 0:00:00.04 for the input.
% 0.52/0.71 0:00:00.07 for the FLOTTER CNF translation.
% 0.52/0.71 0:00:00.03 for inferences.
% 0.52/0.71 0:00:00.00 for the backtracking.
% 0.52/0.71 0:00:00.19 for the reduction.
% 0.52/0.71
% 0.52/0.71
% 0.52/0.71 Here is a proof with depth 7, length 135 :
% 0.52/0.71 % SZS output start Refutation
% 0.52/0.71 1[0:Inp] || -> isFinite0(slcrc0)*.
% 0.52/0.71 2[0:Inp] || -> aSet0(xS)*.
% 0.52/0.71 3[0:Inp] || -> aElementOf0(xx,xS)*.
% 0.52/0.71 4[0:Inp] || -> aSet0(sdtmndt0(xS,xx))*.
% 0.52/0.71 6[0:Inp] || equal(u,slcrc0) -> aSet0(u)*.
% 0.52/0.71 8[0:Inp] aSet0(u) || -> aSubsetOf0(u,u)*.
% 0.52/0.71 11[0:Inp] || aElementOf0(u,sdtmndt0(xS,xx))* -> aElement0(u).
% 0.52/0.71 12[0:Inp] || equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS)** -> .
% 0.52/0.71 13[0:Inp] || aElementOf0(u,v)* equal(v,slcrc0) -> .
% 0.52/0.71 15[0:Inp] || aElementOf0(u,sdtmndt0(xS,xx))* -> aElementOf0(u,xS).
% 0.52/0.71 16[0:Inp] aSet0(u) || aElementOf0(v,u)* -> aElement0(v).
% 0.52/0.71 18[0:Inp] aSet0(u) || aSubsetOf0(v,u)* -> aSet0(v).
% 0.52/0.71 20[0:Inp] || equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))* -> .
% 0.52/0.71 22[0:Inp] aSet0(u) || -> equal(u,slcrc0) aElementOf0(skf4(u),u)*.
% 0.52/0.71 23[0:Inp] || SkP0(u,v,w)* -> equal(w,u) aElementOf0(w,v).
% 0.52/0.71 24[0:Inp] aElement0(u) || aElementOf0(u,v) -> SkP0(w,v,u)*.
% 0.52/0.71 25[0:Inp] aElement0(u) || equal(u,v) -> SkP0(v,w,u)*.
% 0.52/0.71 28[0:Inp] aSet0(u) || aElementOf0(v,w)*+ aSubsetOf0(w,u)* -> aElementOf0(v,u)*.
% 0.52/0.71 29[0:Inp] aSet0(u) aSet0(v) || -> aSubsetOf0(v,u)* aElementOf0(skf5(v,w),v)*.
% 0.52/0.71 33[0:Inp] aElement0(u) || aElementOf0(u,xS) -> equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))*.
% 0.52/0.71 36[0:Inp] aElement0(u) || aElementOf0(u,sdtmndt0(xS,xx)) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.52/0.71 37[0:Inp] aSet0(u) aSet0(v) || aSubsetOf0(v,u)* aSubsetOf0(u,v)* -> equal(u,v).
% 0.52/0.71 41[0:Inp] aElement0(u) aSet0(v) || aElementOf0(w,x)* equal(x,sdtpldt0(v,u))*+ -> SkP0(u,v,w)*.
% 0.52/0.71 42[0:Inp] aSet0(u) aSet0(v) aSet0(w) || aSubsetOf0(u,v)* aSubsetOf0(v,w)* -> aSubsetOf0(u,w)*.
% 0.52/0.71 44[0:Inp] aElement0(u) aSet0(v) aSet0(w) || -> equal(w,sdtpldt0(v,u)) aElementOf0(skf6(v,u,w),w)* SkP0(u,v,skf6(v,u,w))*.
% 0.52/0.71 46[0:Inp] aElement0(u) aSet0(v) aSet0(w) || aElementOf0(skf6(v,u,w),w)* SkP0(u,v,skf6(v,u,w))*+ -> equal(w,sdtpldt0(v,u)).
% 0.52/0.71 47[0:MRR:36.0,11.1] || aElementOf0(u,sdtmndt0(xS,xx)) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.52/0.71 48[0:MRR:37.0,18.2] aSet0(u) || aSubsetOf0(v,u)*+ aSubsetOf0(u,v)* -> equal(v,u).
% 0.52/0.71 49[0:MRR:42.0,42.1,18.2,18.2] aSet0(u) || aSubsetOf0(v,u)*+ aSubsetOf0(w,v)* -> aSubsetOf0(w,u)*.
% 0.52/0.71 69[0:Res:4.0,18.0] || aSubsetOf0(u,sdtmndt0(xS,xx))* -> aSet0(u).
% 0.52/0.71 108[0:Res:46.5,12.0] aSet0(xS) aSet0(sdtmndt0(xS,xx)) aElement0(xx) || SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))* aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS) -> .
% 0.52/0.71 109[0:Res:44.5,12.0] aSet0(xS) aSet0(sdtmndt0(xS,xx)) aElement0(xx) || -> aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.71 114[0:MRR:109.0,109.1,2.0,4.0] aElement0(xx) || -> aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.71 115[0:MRR:108.0,108.1,2.0,4.0] aElement0(xx) || aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))* -> .
% 0.52/0.71 126[0:Res:3.0,16.1] aSet0(xS) || -> aElement0(xx)*.
% 0.52/0.71 127[0:SSi:126.0,2.0] || -> aElement0(xx)*.
% 0.52/0.71 128[0:MRR:114.0,127.0] || -> aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.71 129[0:MRR:115.0,127.0] || aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))* -> .
% 0.52/0.71 134[0:Res:22.2,15.0] aSet0(sdtmndt0(xS,xx)) || -> equal(sdtmndt0(xS,xx),slcrc0) aElementOf0(skf4(sdtmndt0(xS,xx)),xS)*.
% 0.52/0.71 140[0:SSi:134.0,4.0] || -> equal(sdtmndt0(xS,xx),slcrc0) aElementOf0(skf4(sdtmndt0(xS,xx)),xS)*.
% 0.52/0.71 145[1:Spt:140.0] || -> equal(sdtmndt0(xS,xx),slcrc0)**.
% 0.52/0.71 154[1:Rew:145.0,15.0] || aElementOf0(u,slcrc0) -> aElementOf0(u,xS)*.
% 0.52/0.71 170[1:Rew:145.0,33.3] aElement0(u) || aElementOf0(u,xS)* -> equal(u,xx) aElementOf0(u,slcrc0).
% 0.52/0.71 177[1:Rew:145.0,129.0] || aElementOf0(skf6(slcrc0,xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))* -> .
% 0.52/0.71 178[1:Rew:145.0,128.0] || -> aElementOf0(skf6(slcrc0,xx,xS),xS) SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.71 189[1:Rew:145.0,178.1] || -> aElementOf0(skf6(slcrc0,xx,xS),xS) SkP0(xx,slcrc0,skf6(slcrc0,xx,xS))*.
% 0.52/0.71 190[1:Rew:145.0,177.1] || aElementOf0(skf6(slcrc0,xx,xS),xS) SkP0(xx,slcrc0,skf6(slcrc0,xx,xS))* -> .
% 0.52/0.71 279[2:Spt:189.0] || -> aElementOf0(skf6(slcrc0,xx,xS),xS)*.
% 0.52/0.71 280[2:MRR:190.0,279.0] || SkP0(xx,slcrc0,skf6(slcrc0,xx,xS))* -> .
% 0.52/0.71 283[2:Res:279.0,16.1] aSet0(xS) || -> aElement0(skf6(slcrc0,xx,xS))*.
% 0.52/0.71 284[2:SSi:283.0,2.0] || -> aElement0(skf6(slcrc0,xx,xS))*.
% 0.52/0.71 289[2:Res:279.0,170.1] aElement0(skf6(slcrc0,xx,xS)) || -> equal(skf6(slcrc0,xx,xS),xx) aElementOf0(skf6(slcrc0,xx,xS),slcrc0)*.
% 0.52/0.71 292[2:MRR:289.0,284.0] || -> equal(skf6(slcrc0,xx,xS),xx) aElementOf0(skf6(slcrc0,xx,xS),slcrc0)*.
% 0.52/0.71 294[2:Res:25.2,280.0] aElement0(skf6(slcrc0,xx,xS)) || equal(skf6(slcrc0,xx,xS),xx)** -> .
% 0.52/0.71 295[2:Res:24.2,280.0] aElement0(skf6(slcrc0,xx,xS)) || aElementOf0(skf6(slcrc0,xx,xS),slcrc0)* -> .
% 0.52/0.71 296[2:SSi:294.0,284.0] || equal(skf6(slcrc0,xx,xS),xx)** -> .
% 0.52/0.71 297[2:MRR:292.0,296.0] || -> aElementOf0(skf6(slcrc0,xx,xS),slcrc0)*.
% 0.52/0.71 298[2:SSi:295.0,284.0] || aElementOf0(skf6(slcrc0,xx,xS),slcrc0)* -> .
% 0.52/0.71 299[2:MRR:298.0,297.0] || -> .
% 0.52/0.71 300[2:Spt:299.0,189.0,279.0] || aElementOf0(skf6(slcrc0,xx,xS),xS)* -> .
% 0.52/0.71 301[2:Spt:299.0,189.1] || -> SkP0(xx,slcrc0,skf6(slcrc0,xx,xS))*.
% 0.52/0.71 302[2:Res:301.0,23.0] || -> equal(skf6(slcrc0,xx,xS),xx) aElementOf0(skf6(slcrc0,xx,xS),slcrc0)*.
% 0.52/0.71 304[2:Res:154.1,300.0] || aElementOf0(skf6(slcrc0,xx,xS),slcrc0)* -> .
% 0.52/0.71 305[2:MRR:302.1,304.0] || -> equal(skf6(slcrc0,xx,xS),xx)**.
% 0.52/0.71 308[2:Rew:305.0,300.0] || aElementOf0(xx,xS)* -> .
% 0.52/0.71 310[2:MRR:308.0,3.0] || -> .
% 0.52/0.71 313[1:Spt:310.0,140.0,145.0] || equal(sdtmndt0(xS,xx),slcrc0)** -> .
% 0.52/0.71 314[1:Spt:310.0,140.1] || -> aElementOf0(skf4(sdtmndt0(xS,xx)),xS)*.
% 0.52/0.71 375[0:Res:29.3,13.0] aSet0(u) aSet0(v) || equal(v,slcrc0) -> aSubsetOf0(v,u)*.
% 0.52/0.71 377[0:Res:29.3,15.0] aSet0(u) aSet0(sdtmndt0(xS,xx)) || -> aSubsetOf0(sdtmndt0(xS,xx),u)* aElementOf0(skf5(sdtmndt0(xS,xx),v),xS)*.
% 0.52/0.71 380[0:Res:29.3,16.1] aSet0(u) aSet0(v) aSet0(v) || -> aSubsetOf0(v,u)* aElement0(skf5(v,w))*.
% 0.52/0.71 381[0:MRR:375.1,6.1] aSet0(u) || equal(v,slcrc0) -> aSubsetOf0(v,u)*.
% 0.52/0.71 382[0:Obv:380.1] aSet0(u) aSet0(v) || -> aSubsetOf0(v,u)* aElement0(skf5(v,w))*.
% 0.52/0.71 384[0:SSi:377.1,4.0] aSet0(u) || -> aSubsetOf0(sdtmndt0(xS,xx),u)* aElementOf0(skf5(sdtmndt0(xS,xx),v),xS)*.
% 0.52/0.71 412[0:Res:381.2,49.1] aSet0(u) aSet0(u) || equal(v,slcrc0) aSubsetOf0(w,v)* -> aSubsetOf0(w,u)*.
% 0.52/0.71 419[0:Obv:412.0] aSet0(u) || equal(v,slcrc0)+ aSubsetOf0(w,v)* -> aSubsetOf0(w,u)*.
% 0.52/0.71 439[0:EqR:419.1] aSet0(u) || aSubsetOf0(v,slcrc0)*+ -> aSubsetOf0(v,u)*.
% 0.52/0.71 440[0:Res:8.1,439.1] aSet0(slcrc0) aSet0(u) || -> aSubsetOf0(slcrc0,u)*.
% 0.52/0.71 442[0:Res:3.0,28.1] aSet0(u) || aSubsetOf0(xS,u)* -> aElementOf0(xx,u).
% 0.52/0.71 447[0:Res:22.2,28.1] aSet0(u) aSet0(v) || aSubsetOf0(u,v) -> equal(u,slcrc0) aElementOf0(skf4(u),v)*.
% 0.52/0.71 449[0:MRR:447.0,18.2] aSet0(u) || aSubsetOf0(v,u) -> equal(v,slcrc0) aElementOf0(skf4(v),u)*.
% 0.52/0.71 454[0:SoR:440.0,6.1] aSet0(u) || equal(slcrc0,slcrc0) -> aSubsetOf0(slcrc0,u)*.
% 0.52/0.71 455[0:Obv:454.1] aSet0(u) || -> aSubsetOf0(slcrc0,u)*.
% 0.52/0.71 457[0:Res:455.1,48.1] aSet0(u) aSet0(u) || aSubsetOf0(u,slcrc0)* -> equal(slcrc0,u).
% 0.52/0.71 460[0:Res:455.1,69.0] aSet0(sdtmndt0(xS,xx)) || -> aSet0(slcrc0)*.
% 0.52/0.71 464[0:SSi:460.0,4.0] || -> aSet0(slcrc0)*.
% 0.52/0.71 468[0:Obv:457.0] aSet0(u) || aSubsetOf0(u,slcrc0)* -> equal(slcrc0,u).
% 0.52/0.71 470[0:Res:382.2,442.1] aSet0(u) aSet0(xS) aSet0(u) || -> aElement0(skf5(xS,v))* aElementOf0(xx,u)*.
% 0.52/0.71 472[0:Res:29.2,442.1] aSet0(u) aSet0(xS) aSet0(u) || -> aElementOf0(skf5(xS,v),xS)* aElementOf0(xx,u)*.
% 0.52/0.71 478[0:Obv:470.0] aSet0(xS) aSet0(u) || -> aElement0(skf5(xS,v))* aElementOf0(xx,u)*.
% 0.52/0.71 479[0:SSi:478.0,2.0] aSet0(u) || -> aElement0(skf5(xS,v))* aElementOf0(xx,u)*.
% 0.52/0.71 480[0:Obv:472.0] aSet0(xS) aSet0(u) || -> aElementOf0(skf5(xS,v),xS)* aElementOf0(xx,u)*.
% 0.52/0.71 481[0:SSi:480.0,2.0] aSet0(u) || -> aElementOf0(skf5(xS,v),xS)* aElementOf0(xx,u)*.
% 0.52/0.71 491[2:Spt:479.0,479.2] aSet0(u) || -> aElementOf0(xx,u)*.
% 0.52/0.73 493[2:Res:491.1,20.1] aSet0(sdtmndt0(xS,xx)) || equal(xx,xx)* -> .
% 0.52/0.73 504[2:Obv:493.1] aSet0(sdtmndt0(xS,xx)) || -> .
% 0.52/0.73 505[2:SSi:504.0,4.0] || -> .
% 0.52/0.73 506[2:Spt:505.0,479.1] || -> aElement0(skf5(xS,u))*.
% 0.52/0.73 558[3:Spt:481.0,481.2] aSet0(u) || -> aElementOf0(xx,u)*.
% 0.52/0.73 560[3:Res:558.1,20.1] aSet0(sdtmndt0(xS,xx)) || equal(xx,xx)* -> .
% 0.52/0.73 571[3:Obv:560.1] aSet0(sdtmndt0(xS,xx)) || -> .
% 0.52/0.73 572[3:SSi:571.0,4.0] || -> .
% 0.52/0.73 573[3:Spt:572.0,481.1] || -> aElementOf0(skf5(xS,u),xS)*.
% 0.52/0.73 702[0:Res:449.3,13.0] aSet0(u) || aSubsetOf0(v,u)* equal(u,slcrc0) -> equal(v,slcrc0).
% 0.52/0.73 710[0:MRR:702.0,6.1] || aSubsetOf0(u,v)* equal(v,slcrc0) -> equal(u,slcrc0).
% 0.52/0.73 752[0:EqR:41.3] aElement0(u) aSet0(v) || aElementOf0(w,sdtpldt0(v,u))* -> SkP0(u,v,w).
% 0.52/0.73 777[4:Spt:384.0,384.1] aSet0(u) || -> aSubsetOf0(sdtmndt0(xS,xx),u)*.
% 0.52/0.73 789[4:Res:777.1,710.0] aSet0(u) || equal(u,slcrc0)* -> equal(sdtmndt0(xS,xx),slcrc0)**.
% 0.52/0.73 792[4:Res:777.1,468.1] aSet0(slcrc0) aSet0(sdtmndt0(xS,xx)) || -> equal(sdtmndt0(xS,xx),slcrc0)**.
% 0.52/0.73 794[4:MRR:789.0,789.2,6.1,313.0] || equal(u,slcrc0)* -> .
% 0.52/0.73 807[4:SSi:792.1,792.0,4.0,1.0,464.0] || -> equal(sdtmndt0(xS,xx),slcrc0)**.
% 0.52/0.73 808[4:MRR:807.0,794.0] || -> .
% 0.52/0.73 814[4:Spt:808.0,384.2] || -> aElementOf0(skf5(sdtmndt0(xS,xx),u),xS)*.
% 0.52/0.73 1503[0:Res:47.1,752.2] aElement0(xx) aSet0(sdtmndt0(xS,xx)) || aElementOf0(u,sdtmndt0(xS,xx)) -> SkP0(xx,sdtmndt0(xS,xx),u)*.
% 0.52/0.73 1518[0:SSi:1503.1,1503.0,4.0,127.0] || aElementOf0(u,sdtmndt0(xS,xx)) -> SkP0(xx,sdtmndt0(xS,xx),u)*.
% 0.52/0.73 2020[5:Spt:128.0] || -> aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS)*.
% 0.52/0.73 2021[5:MRR:129.0,2020.0] || SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))* -> .
% 0.52/0.73 2024[5:Res:2020.0,16.1] aSet0(xS) || -> aElement0(skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.73 2026[5:SSi:2024.0,2.0] || -> aElement0(skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.73 2028[5:Res:25.2,2021.0] aElement0(skf6(sdtmndt0(xS,xx),xx,xS)) || equal(skf6(sdtmndt0(xS,xx),xx,xS),xx)** -> .
% 0.52/0.73 2030[5:Res:1518.1,2021.0] || aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))* -> .
% 0.52/0.73 2031[5:SSi:2028.0,2026.0] || equal(skf6(sdtmndt0(xS,xx),xx,xS),xx)** -> .
% 0.52/0.73 2033[5:Res:33.3,2030.0] aElement0(skf6(sdtmndt0(xS,xx),xx,xS)) || aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS)* -> equal(skf6(sdtmndt0(xS,xx),xx,xS),xx).
% 0.52/0.73 2036[5:SSi:2033.0,2026.0] || aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS)* -> equal(skf6(sdtmndt0(xS,xx),xx,xS),xx).
% 0.52/0.73 2037[5:MRR:2036.0,2036.1,2020.0,2031.0] || -> .
% 0.52/0.73 2038[5:Spt:2037.0,128.0,2020.0] || aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS)* -> .
% 0.52/0.73 2039[5:Spt:2037.0,128.1] || -> SkP0(xx,sdtmndt0(xS,xx),skf6(sdtmndt0(xS,xx),xx,xS))*.
% 0.52/0.73 2040[5:Res:2039.0,23.0] || -> equal(skf6(sdtmndt0(xS,xx),xx,xS),xx) aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))*.
% 0.52/0.73 2615[6:Spt:2040.0] || -> equal(skf6(sdtmndt0(xS,xx),xx,xS),xx)**.
% 0.52/0.73 2617[6:Rew:2615.0,2038.0] || aElementOf0(xx,xS)* -> .
% 0.52/0.73 2624[6:MRR:2617.0,3.0] || -> .
% 0.52/0.73 2625[6:Spt:2624.0,2040.0,2615.0] || equal(skf6(sdtmndt0(xS,xx),xx,xS),xx)** -> .
% 0.52/0.73 2626[6:Spt:2624.0,2040.1] || -> aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))*.
% 0.52/0.73 2631[6:Res:2626.0,15.0] || -> aElementOf0(skf6(sdtmndt0(xS,xx),xx,xS),xS)*.
% 0.52/0.73 2638[6:MRR:2631.0,2038.0] || -> .
% 0.52/0.73 % SZS output end Refutation
% 0.52/0.73 Formulae used in the proof : mEmpFin m__617 m__617_02 m__ mDefEmp mSubRefl mEOfElem mDefSub mDefCons mSubASymm mSubTrans
% 0.52/0.73
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