TSTP Solution File: NUM535+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jul 6 19:42:38 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.38/0.55
% 0.38/0.55 SPASS V 3.9
% 0.38/0.55 SPASS beiseite: Proof found.
% 0.38/0.55 % SZS status Theorem
% 0.38/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.55 SPASS derived 506 clauses, backtracked 135 clauses, performed 8 splits and kept 371 clauses.
% 0.38/0.55 SPASS allocated 98517 KBytes.
% 0.38/0.55 SPASS spent 0:00:00.18 on the problem.
% 0.38/0.55 0:00:00.03 for the input.
% 0.38/0.55 0:00:00.08 for the FLOTTER CNF translation.
% 0.38/0.55 0:00:00.01 for inferences.
% 0.38/0.55 0:00:00.00 for the backtracking.
% 0.38/0.55 0:00:00.03 for the reduction.
% 0.38/0.55
% 0.38/0.55
% 0.38/0.55 Here is a proof with depth 6, length 119 :
% 0.38/0.55 % SZS output start Refutation
% 0.38/0.55 2[0:Inp] || -> aSet0(xS)*.
% 0.38/0.55 3[0:Inp] || -> aElementOf0(skc3,xS)*.
% 0.38/0.55 4[0:Inp] || -> aElementOf0(xx,xS)*.
% 0.38/0.55 5[0:Inp] || -> aSet0(sdtmndt0(xS,xx))* SkC0.
% 0.38/0.55 6[0:Inp] || SkC0 -> aSet0(sdtmndt0(xS,xx))*.
% 0.38/0.55 7[0:Inp] || SkC0 aElementOf0(skc2,xS)* -> .
% 0.38/0.55 11[0:Inp] || -> aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))* SkC0.
% 0.38/0.55 14[0:Inp] || SkC0 -> aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 17[0:Inp] || SkC0 -> aElementOf0(skc2,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 18[0:Inp] || aElementOf0(u,sdtmndt0(xS,xx))* -> aElement0(u) SkC0.
% 0.38/0.55 19[0:Inp] || aElementOf0(skc3,sdtpldt0(sdtmndt0(xS,xx),xx))* -> SkC0.
% 0.38/0.55 20[0:Inp] || aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))* -> SkC0.
% 0.38/0.55 21[0:Inp] aSet0(u) || aElementOf0(v,u)* -> aElement0(v).
% 0.38/0.55 25[0:Inp] || aElementOf0(u,sdtmndt0(xS,xx))* SkC0 -> aElement0(u).
% 0.38/0.55 27[0:Inp] || aElementOf0(u,sdtmndt0(xS,xx))* -> aElementOf0(u,xS) SkC0.
% 0.38/0.55 28[0:Inp] aSet0(u) || -> equal(u,slcrc0) aElementOf0(skf4(u),u)*.
% 0.38/0.55 29[0:Inp] || aElementOf0(u,sdtmndt0(xS,xx))* SkC0 -> aElementOf0(u,xS).
% 0.38/0.55 30[0:Inp] || equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))* -> SkC0.
% 0.38/0.55 35[0:Inp] || equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))* SkC0 -> .
% 0.38/0.55 38[0:Inp] aSet0(u) || aElementOf0(v,w)*+ aSubsetOf0(w,u)* -> aElementOf0(v,u)*.
% 0.38/0.55 39[0:Inp] aSet0(u) aSet0(v) || -> aSubsetOf0(v,u)* aElementOf0(skf5(v,w),v)*.
% 0.38/0.55 43[0:Inp] aElement0(u) || equal(u,xx) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))* SkC0.
% 0.38/0.55 45[0:Inp] aElement0(u) || equal(u,xx) SkC0 -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 46[0:Inp] aElement0(u) || aElementOf0(u,xS) -> equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))* SkC0.
% 0.38/0.55 47[0:Inp] aElement0(u) || aElementOf0(u,xS) SkC0 -> equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))*.
% 0.38/0.55 48[0:Inp] || aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))* -> aElementOf0(u,sdtmndt0(xS,xx)) equal(u,xx) SkC0.
% 0.38/0.55 49[0:Inp] aElement0(u) || aElementOf0(u,sdtmndt0(xS,xx)) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))* SkC0.
% 0.38/0.55 51[0:Inp] || aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))* SkC0 -> aElementOf0(u,sdtmndt0(xS,xx)) equal(u,xx).
% 0.38/0.55 52[0:Inp] aElement0(u) || aElementOf0(u,sdtmndt0(xS,xx)) SkC0 -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 62[0:MRR:6.0,5.1] || -> aSet0(sdtmndt0(xS,xx))*.
% 0.38/0.55 63[0:MRR:14.0,11.1] || -> aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 64[0:MRR:25.1,18.2] || aElementOf0(u,sdtmndt0(xS,xx))* -> aElement0(u).
% 0.38/0.55 65[0:MRR:29.1,27.2] || aElementOf0(u,sdtmndt0(xS,xx))* -> aElementOf0(u,xS).
% 0.38/0.55 67[0:MRR:35.2,30.2] || equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))* -> .
% 0.38/0.55 68[0:MRR:45.2,43.3] aElement0(u) || equal(u,xx) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 70[0:MRR:49.0,64.1] || aElementOf0(u,sdtmndt0(xS,xx)) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))* SkC0.
% 0.38/0.55 71[0:MRR:47.2,46.4] aElement0(u) || aElementOf0(u,xS) -> equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))*.
% 0.38/0.55 72[0:MRR:52.0,52.2,64.1,70.2] || aElementOf0(u,sdtmndt0(xS,xx)) -> aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 73[0:MRR:51.1,48.3] || aElementOf0(u,sdtpldt0(sdtmndt0(xS,xx),xx))* -> equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx)).
% 0.38/0.55 75[0:Res:3.0,71.1] aElement0(skc3) || -> equal(skc3,xx) aElementOf0(skc3,sdtmndt0(xS,xx))*.
% 0.38/0.55 80[0:Res:3.0,21.1] aSet0(xS) || -> aElement0(skc3)*.
% 0.38/0.55 94[0:Res:62.0,38.0] || aElementOf0(u,v)* aSubsetOf0(v,sdtmndt0(xS,xx))* -> aElementOf0(u,sdtmndt0(xS,xx))*.
% 0.38/0.55 109[0:Res:62.0,39.1] aSet0(u) || -> aSubsetOf0(u,sdtmndt0(xS,xx))* aElementOf0(skf5(u,v),u)*.
% 0.38/0.55 139[0:MRR:80.0,2.0] || -> aElement0(skc3)*.
% 0.38/0.55 142[0:MRR:75.0,139.0] || -> equal(skc3,xx) aElementOf0(skc3,sdtmndt0(xS,xx))*.
% 0.38/0.55 145[0:Res:3.0,94.1] || aSubsetOf0(xS,sdtmndt0(xS,xx))* -> aElementOf0(skc3,sdtmndt0(xS,xx)).
% 0.38/0.55 146[1:Spt:142.0] || -> equal(skc3,xx)**.
% 0.38/0.55 148[1:Rew:146.0,19.0] || aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))* -> SkC0.
% 0.38/0.55 149[1:Rew:146.0,145.1] || aSubsetOf0(xS,sdtmndt0(xS,xx))* -> aElementOf0(xx,sdtmndt0(xS,xx)).
% 0.38/0.55 150[1:Rew:146.0,139.0] || -> aElement0(xx)*.
% 0.38/0.55 159[2:Spt:20.1] || -> SkC0*.
% 0.38/0.55 160[2:MRR:7.0,159.0] || aElementOf0(skc2,xS)* -> .
% 0.38/0.55 161[2:MRR:17.0,159.0] || -> aElementOf0(skc2,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 181[0:Res:28.2,65.0] aSet0(sdtmndt0(xS,xx)) || -> equal(sdtmndt0(xS,xx),slcrc0) aElementOf0(skf4(sdtmndt0(xS,xx)),xS)*.
% 0.38/0.55 187[0:SSi:181.0,62.0] || -> equal(sdtmndt0(xS,xx),slcrc0) aElementOf0(skf4(sdtmndt0(xS,xx)),xS)*.
% 0.38/0.55 194[3:Spt:187.0] || -> equal(sdtmndt0(xS,xx),slcrc0)**.
% 0.38/0.55 197[3:Rew:194.0,161.0] || -> aElementOf0(skc2,sdtpldt0(slcrc0,xx))*.
% 0.38/0.55 205[3:Rew:194.0,65.0] || aElementOf0(u,slcrc0) -> aElementOf0(u,xS)*.
% 0.38/0.55 211[3:Rew:194.0,73.0] || aElementOf0(u,sdtpldt0(slcrc0,xx)) -> equal(u,xx) aElementOf0(u,sdtmndt0(xS,xx))*.
% 0.38/0.55 229[3:Rew:194.0,211.2] || aElementOf0(u,sdtpldt0(slcrc0,xx))* -> equal(u,xx) aElementOf0(u,slcrc0).
% 0.38/0.55 241[3:Res:205.1,160.0] || aElementOf0(skc2,slcrc0)* -> .
% 0.38/0.55 300[3:Res:197.0,229.0] || -> equal(skc2,xx) aElementOf0(skc2,slcrc0)*.
% 0.38/0.55 301[3:MRR:300.1,241.0] || -> equal(skc2,xx)**.
% 0.38/0.55 302[3:Rew:301.0,160.0] || aElementOf0(xx,xS)* -> .
% 0.38/0.55 306[3:MRR:302.0,4.0] || -> .
% 0.38/0.55 312[3:Spt:306.0,187.0,194.0] || equal(sdtmndt0(xS,xx),slcrc0)** -> .
% 0.38/0.55 313[3:Spt:306.0,187.1] || -> aElementOf0(skf4(sdtmndt0(xS,xx)),xS)*.
% 0.38/0.55 344[1:Res:109.1,149.0] aSet0(xS) || -> aElementOf0(skf5(xS,u),xS)* aElementOf0(xx,sdtmndt0(xS,xx)).
% 0.38/0.55 352[1:SSi:344.0,2.0] || -> aElementOf0(skf5(xS,u),xS)* aElementOf0(xx,sdtmndt0(xS,xx)).
% 0.38/0.55 362[1:Res:352.0,21.1] aSet0(xS) || -> aElementOf0(xx,sdtmndt0(xS,xx))* aElement0(skf5(xS,u))*.
% 0.38/0.55 363[1:SSi:362.0,2.0] || -> aElementOf0(xx,sdtmndt0(xS,xx))* aElement0(skf5(xS,u))*.
% 0.38/0.55 364[4:Spt:363.0] || -> aElementOf0(xx,sdtmndt0(xS,xx))*.
% 0.38/0.55 366[4:Res:364.0,67.1] || equal(xx,xx)* -> .
% 0.38/0.55 370[4:Obv:366.0] || -> .
% 0.38/0.55 371[4:Spt:370.0,363.0,364.0] || aElementOf0(xx,sdtmndt0(xS,xx))* -> .
% 0.38/0.55 372[4:Spt:370.0,363.1] || -> aElement0(skf5(xS,u))*.
% 0.38/0.55 408[0:Res:39.3,21.1] aSet0(u) aSet0(v) aSet0(v) || -> aSubsetOf0(v,u)* aElement0(skf5(v,w))*.
% 0.38/0.55 410[0:Obv:408.1] aSet0(u) aSet0(v) || -> aSubsetOf0(v,u)* aElement0(skf5(v,w))*.
% 0.38/0.55 484[2:Res:161.0,38.1] aSet0(u) || aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),u)* -> aElementOf0(skc2,u).
% 0.38/0.55 515[2:Res:410.2,484.1] aSet0(u) aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) aSet0(u) || -> aElement0(skf5(sdtpldt0(sdtmndt0(xS,xx),xx),v))* aElementOf0(skc2,u)*.
% 0.38/0.55 523[2:Obv:515.0] aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) aSet0(u) || -> aElement0(skf5(sdtpldt0(sdtmndt0(xS,xx),xx),v))* aElementOf0(skc2,u)*.
% 0.38/0.55 524[2:SSi:523.0,63.0] aSet0(u) || -> aElement0(skf5(sdtpldt0(sdtmndt0(xS,xx),xx),v))* aElementOf0(skc2,u)*.
% 0.38/0.55 530[5:Spt:524.0,524.2] aSet0(u) || -> aElementOf0(skc2,u)*.
% 0.38/0.55 534[5:Res:530.1,65.0] aSet0(sdtmndt0(xS,xx)) || -> aElementOf0(skc2,xS)*.
% 0.38/0.55 544[5:SSi:534.0,62.0] || -> aElementOf0(skc2,xS)*.
% 0.38/0.55 545[5:MRR:544.0,160.0] || -> .
% 0.38/0.55 548[5:Spt:545.0,524.1] || -> aElement0(skf5(sdtpldt0(sdtmndt0(xS,xx),xx),u))*.
% 0.38/0.55 677[2:Res:161.0,73.0] || -> equal(skc2,xx) aElementOf0(skc2,sdtmndt0(xS,xx))*.
% 0.38/0.55 685[6:Spt:677.0] || -> equal(skc2,xx)**.
% 0.38/0.55 687[6:Rew:685.0,160.0] || aElementOf0(xx,xS)* -> .
% 0.38/0.55 691[6:MRR:687.0,4.0] || -> .
% 0.38/0.55 692[6:Spt:691.0,677.0,685.0] || equal(skc2,xx)** -> .
% 0.38/0.55 693[6:Spt:691.0,677.1] || -> aElementOf0(skc2,sdtmndt0(xS,xx))*.
% 0.38/0.55 696[6:Res:693.0,65.0] || -> aElementOf0(skc2,xS)*.
% 0.38/0.55 700[6:MRR:696.0,160.0] || -> .
% 0.38/0.55 701[2:Spt:700.0,20.1,159.0] || SkC0* -> .
% 0.38/0.55 702[2:Spt:700.0,20.0] || aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))* -> .
% 0.38/0.55 703[2:MRR:148.1,701.0] || aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))* -> .
% 0.38/0.55 716[2:Res:68.2,703.0] aElement0(xx) || equal(xx,xx)* -> .
% 0.38/0.55 719[2:Obv:716.1] aElement0(xx) || -> .
% 0.38/0.55 720[2:SSi:719.0,150.0] || -> .
% 0.38/0.55 721[1:Spt:720.0,142.0,146.0] || equal(skc3,xx)** -> .
% 0.38/0.55 722[1:Spt:720.0,142.1] || -> aElementOf0(skc3,sdtmndt0(xS,xx))*.
% 0.38/0.55 732[2:Spt:20.1] || -> SkC0*.
% 0.38/0.55 733[2:MRR:7.0,732.0] || aElementOf0(skc2,xS)* -> .
% 0.38/0.55 734[2:MRR:17.0,732.0] || -> aElementOf0(skc2,sdtpldt0(sdtmndt0(xS,xx),xx))*.
% 0.38/0.55 746[2:Res:734.0,73.0] || -> equal(skc2,xx) aElementOf0(skc2,sdtmndt0(xS,xx))*.
% 0.38/0.55 756[3:Spt:746.0] || -> equal(skc2,xx)**.
% 0.38/0.55 757[3:Rew:756.0,733.0] || aElementOf0(xx,xS)* -> .
% 0.38/0.55 761[3:MRR:757.0,4.0] || -> .
% 0.38/0.55 762[3:Spt:761.0,746.0,756.0] || equal(skc2,xx)** -> .
% 0.38/0.55 763[3:Spt:761.0,746.1] || -> aElementOf0(skc2,sdtmndt0(xS,xx))*.
% 0.38/0.55 766[3:Res:763.0,65.0] || -> aElementOf0(skc2,xS)*.
% 0.38/0.55 770[3:MRR:766.0,733.0] || -> .
% 0.38/0.55 771[2:Spt:770.0,20.1,732.0] || SkC0* -> .
% 0.38/0.55 772[2:Spt:770.0,20.0] || aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))* -> .
% 0.38/0.55 773[2:MRR:19.1,771.0] || aElementOf0(skc3,sdtpldt0(sdtmndt0(xS,xx),xx))* -> .
% 0.38/0.55 780[2:Res:72.1,773.0] || aElementOf0(skc3,sdtmndt0(xS,xx))* -> .
% 0.38/0.55 781[2:MRR:780.0,722.0] || -> .
% 0.38/0.55 % SZS output end Refutation
% 0.38/0.55 Formulae used in the proof : m__617 m__ m__617_02 mEOfElem mDefEmp mDefSub
% 0.38/0.55
%------------------------------------------------------------------------------