TSTP Solution File: SWV037+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV037+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 : Wed Jul 20 21:41:03 EDT 2022
% Result : Theorem 278.53s 278.75s
% Output : Refutation 289.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV037+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.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 : Wed Jun 15 07:23:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 278.53/278.75
% 278.53/278.75 SPASS V 3.9
% 278.53/278.75 SPASS beiseite: Proof found.
% 278.53/278.75 % SZS status Theorem
% 278.53/278.75 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 278.53/278.75 SPASS derived 62010 clauses, backtracked 17537 clauses, performed 23 splits and kept 39155 clauses.
% 278.53/278.75 SPASS allocated 138270 KBytes.
% 278.53/278.75 SPASS spent 0:4:38.32 on the problem.
% 278.53/278.75 0:00:00.04 for the input.
% 278.53/278.75 0:00:00.09 for the FLOTTER CNF translation.
% 278.53/278.75 0:00:00.56 for inferences.
% 278.53/278.75 0:00:02.90 for the backtracking.
% 278.53/278.75 0:4:33.98 for the reduction.
% 278.53/278.75
% 278.53/278.75
% 278.53/278.75 Here is a proof with depth 2, length 270 :
% 278.53/278.75 % SZS output start Refutation
% 278.53/278.75 1[0:Inp] || -> SkC1*.
% 278.53/278.75 2[0:Inp] || -> SkC2*.
% 278.53/278.75 3[0:Inp] || -> SkC3*.
% 278.53/278.75 4[0:Inp] || -> SkC4*.
% 278.53/278.75 6[0:Inp] || -> leq(n0,skc11)*r.
% 278.53/278.75 12[0:Inp] || -> equal(init,s_best7_init)**.
% 278.53/278.75 13[0:Inp] || -> equal(init,s_sworst7_init)**.
% 278.53/278.75 14[0:Inp] || -> equal(init,s_worst7_init)**.
% 278.53/278.75 15[0:Inp] || -> leq(n0,s_best7)*r.
% 278.53/278.75 16[0:Inp] || -> leq(n0,s_sworst7)*r.
% 278.53/278.75 17[0:Inp] || -> leq(n0,s_worst7)*r.
% 278.53/278.75 18[0:Inp] || -> leq(s_best7,n3)*r.
% 278.53/278.75 19[0:Inp] || -> leq(s_sworst7,n3)*r.
% 278.53/278.75 20[0:Inp] || -> leq(s_worst7,n3)*r.
% 278.53/278.75 49[0:Inp] || -> gt(n5,n2)*l.
% 278.53/278.75 58[0:Inp] || -> SkC6* leq(skc11,n3).
% 278.53/278.75 60[0:Inp] || -> equal(succ(n0),n1)**.
% 278.53/278.75 61[0:Inp] || gt(u,u)* -> .
% 278.53/278.75 67[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 278.53/278.75 86[0:Inp] || -> equal(succ(succ(succ(n0))),n3)**.
% 278.53/278.75 93[0:Inp] || gt(loopcounter,n1) -> equal(init,pvar1400_init)**.
% 278.53/278.75 94[0:Inp] || gt(loopcounter,n1) -> equal(init,pvar1401_init)**.
% 278.53/278.75 95[0:Inp] || gt(loopcounter,n1) -> equal(init,pvar1402_init)**.
% 278.53/278.75 96[0:Inp] || -> equal(succ(succ(succ(succ(n0)))),n4)**.
% 278.53/278.75 106[0:Inp] || -> equal(succ(succ(succ(succ(succ(n0))))),n5)**.
% 278.53/278.75 121[0:Inp] || -> equal(a_select2(tptp_update2(u,v,w),v),w)**.
% 278.53/278.75 130[0:Inp] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,init),skc11),init)** -> SkC6.
% 278.53/278.75 131[0:Inp] || equal(init,init) SkC8* -> gt(loopcounter,n1) SkC7.
% 278.53/278.75 132[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 278.53/278.75 142[0:Inp] || -> equal(u,v) equal(a_select2(tptp_update2(w,u,x),v),a_select2(w,v))**.
% 278.53/278.75 143[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 278.53/278.75 144[0:Inp] || SkC2 leq(n0,u) leq(u,n3) -> equal(a_select2(s_values7_init,u),init)**.
% 278.53/278.75 150[0:Inp] || leq(u,n3)* leq(n0,u) -> equal(u,n3) equal(u,n2) equal(u,n1)* equal(u,n0).
% 278.53/278.75 163[0:Inp] || equal(a_select2(s_values7_init,s_best7),init) equal(a_select2(s_values7_init,s_sworst7),init) equal(a_select2(s_values7_init,s_worst7),init)** SkC1 SkC2 SkC9 SkC10 -> SkC8.
% 278.53/278.75 175[0:Inp] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC11*.
% 278.53/278.75 176[0:Inp] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC10*.
% 278.53/278.75 177[0:Inp] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC9*.
% 278.53/278.75 192[0:Inp] || equal(a_select2(s_values7_init,s_best7),init) equal(a_select2(s_values7_init,s_sworst7),init) equal(a_select2(s_values7_init,s_worst7),init)** equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) SkC1 SkC2 SkC11 SkC10 equal(init,init) SkC8 -> SkC7.
% 278.53/278.75 194[0:Inp] || equal(init,init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 equal(a_select2(s_values7_init,s_worst7),init)** SkC0 -> gt(loopcounter,n1).
% 278.53/278.75 195[0:Inp] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(init,init) equal(a_select2(s_values7_init,s_best7),init)** SkC5 -> gt(loopcounter,n1) SkC0.
% 278.53/278.75 196[0:Inp] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) equal(a_select2(s_values7_init,s_worst7),init)** leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(init,init) equal(a_select2(s_values7_init,s_sworst7),init) SkC7 -> gt(loopcounter,n1) SkC5.
% 278.53/278.75 197[0:Inp] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 equal(a_select2(s_values7_init,s_worst7),init)** SkC0 -> .
% 278.53/278.75 198[0:Inp] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(init,init) equal(a_select2(s_values7_init,s_best7),init)** SkC5 -> SkC0.
% 278.53/278.75 199[0:Inp] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) equal(a_select2(s_values7_init,s_worst7),init)** leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(init,init) equal(a_select2(s_values7_init,s_sworst7),init) SkC7 -> SkC5.
% 278.53/278.75 200[0:Rew:14.0,13.0] || -> equal(s_worst7_init,s_sworst7_init)**.
% 278.53/278.75 201[0:Rew:200.0,14.0] || -> equal(init,s_sworst7_init)**.
% 278.53/278.75 202[0:Rew:12.0,201.0] || -> equal(s_sworst7_init,s_best7_init)**.
% 278.53/278.75 203[0:Rew:202.0,200.0] || -> equal(s_worst7_init,s_best7_init)**.
% 278.53/278.75 204[0:Rew:60.0,67.0] || -> equal(succ(n1),n2)**.
% 278.53/278.75 207[0:Rew:204.0,86.0,60.0,86.0] || -> equal(succ(n2),n3)**.
% 278.53/278.75 209[0:Rew:207.0,96.0,204.0,96.0,60.0,96.0] || -> equal(succ(n3),n4)**.
% 278.53/278.75 212[0:Rew:209.0,106.0,207.0,106.0,204.0,106.0,60.0,106.0] || -> equal(succ(n4),n5)**.
% 278.53/278.75 217[0:Rew:12.0,130.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> SkC6.
% 278.53/278.75 218[0:Rew:12.0,95.1] || gt(loopcounter,n1) -> equal(pvar1402_init,s_best7_init)**.
% 278.53/278.75 219[0:Rew:12.0,94.1] || gt(loopcounter,n1) -> equal(pvar1401_init,s_best7_init)**.
% 278.53/278.75 220[0:Rew:12.0,93.1] || gt(loopcounter,n1) -> equal(pvar1400_init,s_best7_init)**.
% 278.53/278.75 221[0:Obv:131.0] || SkC8* -> gt(loopcounter,n1) SkC7.
% 278.53/278.75 224[0:Rew:12.0,144.3] || SkC2 leq(n0,u) leq(u,n3) -> equal(a_select2(s_values7_init,u),s_best7_init)**.
% 278.53/278.75 225[0:MRR:224.0,2.0] || leq(u,n3) leq(n0,u) -> equal(a_select2(s_values7_init,u),s_best7_init)**.
% 278.53/278.75 230[0:Rew:12.0,163.2,12.0,163.1,12.0,163.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** SkC1 SkC2 SkC9 SkC10 -> SkC8.
% 278.53/278.75 231[0:MRR:230.3,230.4,1.0,2.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** SkC9 SkC10 -> SkC8.
% 278.53/278.75 245[0:Obv:192.13] || equal(a_select2(s_values7_init,s_best7),init) equal(a_select2(s_values7_init,s_sworst7),init) equal(a_select2(s_values7_init,s_worst7),init)** equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) SkC1 SkC2 SkC11 SkC10 SkC8 -> SkC7.
% 278.53/278.75 246[0:Rew:12.0,245.8,203.0,245.8,12.0,245.7,202.0,245.7,12.0,245.6,12.0,245.5,12.0,245.4,12.0,245.3,12.0,245.2,12.0,245.1,12.0,245.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) SkC1 SkC2 SkC11 SkC10 SkC8 -> SkC7.
% 278.53/278.75 247[0:Obv:246.8] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC1 SkC2 SkC11 SkC10 SkC8 -> SkC7.
% 278.53/278.75 248[0:MRR:247.6,247.7,1.0,2.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC11 SkC10 SkC8 -> SkC7.
% 278.53/278.75 249[0:Rew:12.0,175.2,203.0,175.2,12.0,175.1,202.0,175.1,12.0,175.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC11*.
% 278.53/278.75 250[0:Obv:249.2] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC11*.
% 278.53/278.75 251[0:MRR:250.0,250.1,250.2,250.3,250.4,250.5,15.0,16.0,17.0,18.0,19.0,20.0] || -> SkC11*.
% 278.53/278.75 252[0:MRR:248.6,251.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC10 SkC8 -> SkC7.
% 278.53/278.75 253[0:Rew:12.0,176.2,203.0,176.2,12.0,176.1,202.0,176.1,12.0,176.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC10*.
% 278.53/278.75 254[0:Obv:253.2] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC10*.
% 278.53/278.75 255[0:MRR:254.0,254.1,254.2,254.3,254.4,254.5,15.0,16.0,17.0,18.0,19.0,20.0] || -> SkC10*.
% 278.53/278.75 256[0:MRR:231.4,255.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** SkC9 -> SkC8.
% 278.53/278.75 257[0:MRR:252.6,255.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC8 -> SkC7.
% 278.53/278.75 258[0:Rew:12.0,177.2,203.0,177.2,12.0,177.1,202.0,177.1,12.0,177.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC9*.
% 278.53/278.75 259[0:Obv:258.2] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) -> SkC9*.
% 278.53/278.75 260[0:MRR:259.0,259.1,259.2,259.3,259.4,259.5,15.0,16.0,17.0,18.0,19.0,20.0] || -> SkC9*.
% 278.53/278.75 262[0:MRR:256.3,260.0] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** -> SkC8.
% 278.53/278.75 263[0:MRR:257.6,262.3] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init) equal(a_select2(s_values7_init,s_worst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) -> SkC7.
% 278.53/278.75 264[0:Obv:194.0] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 equal(a_select2(s_values7_init,s_worst7),init)** SkC0 -> gt(loopcounter,n1).
% 278.53/278.75 265[0:Rew:225.2,264.13,12.0,264.13,12.0,264.2,203.0,264.2,12.0,264.1,202.0,264.1,12.0,264.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 equal(s_best7_init,s_best7_init) SkC0* -> gt(loopcounter,n1).
% 278.53/278.75 266[0:Obv:265.13] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 SkC0* -> gt(loopcounter,n1).
% 278.53/278.75 267[0:MRR:266.0,266.1,266.2,266.3,266.4,266.5,266.6,266.8,266.9,15.0,16.0,17.0,18.0,19.0,20.0,1.0,3.0,4.0] || SkC6 SkC0* -> gt(loopcounter,n1).
% 278.53/278.75 268[0:Obv:195.13] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(a_select2(s_values7_init,s_best7),init)** SkC5 -> gt(loopcounter,n1) SkC0.
% 278.53/278.75 269[0:Rew:225.2,268.13,12.0,268.13,12.0,268.2,203.0,268.2,12.0,268.1,202.0,268.1,12.0,268.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(s_best7_init,s_best7_init) SkC5* -> gt(loopcounter,n1) SkC0.
% 278.53/278.75 270[0:Obv:269.13] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 SkC5* -> gt(loopcounter,n1) SkC0.
% 278.53/278.75 271[0:MRR:270.0,270.1,270.2,270.3,270.4,270.5,270.6,270.7,270.8,270.9,15.0,16.0,17.0,18.0,19.0,20.0,1.0,2.0,3.0,4.0] || SkC5* -> gt(loopcounter,n1) SkC0.
% 278.53/278.75 272[0:Obv:197.3] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 equal(a_select2(s_values7_init,s_worst7),init)** SkC0 -> .
% 278.53/278.75 273[0:Rew:225.2,272.16,12.0,272.16,12.0,272.5,203.0,272.5,12.0,272.4,202.0,272.4,12.0,272.3,12.0,272.2,12.0,272.1,12.0,272.0] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 equal(s_best7_init,s_best7_init) SkC0* -> .
% 278.53/278.75 274[0:Obv:273.16] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC6 SkC3 SkC4 SkC0* -> .
% 278.53/278.75 275[0:MRR:274.3,274.4,274.5,274.6,274.7,274.8,274.9,274.11,274.12,15.0,16.0,17.0,18.0,19.0,20.0,1.0,3.0,4.0] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC6 SkC0* -> .
% 278.53/278.75 276[0:Obv:198.16] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(a_select2(s_values7_init,s_best7),init)** SkC5 -> SkC0.
% 278.53/278.75 277[0:Rew:225.2,276.16,12.0,276.16,12.0,276.5,203.0,276.5,12.0,276.4,202.0,276.4,12.0,276.3,12.0,276.2,12.0,276.1,12.0,276.0] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(s_best7_init,s_best7_init) SkC5* -> SkC0.
% 278.53/278.75 278[0:Obv:277.16] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 SkC5* -> SkC0.
% 278.53/278.75 279[0:MRR:278.3,278.4,278.5,278.6,278.7,278.8,278.9,278.10,278.11,278.12,15.0,16.0,17.0,18.0,19.0,20.0,1.0,2.0,3.0,4.0] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC5* -> SkC0.
% 278.53/278.75 280[0:Obv:196.14] || equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) equal(a_select2(s_values7_init,s_worst7),init)** leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(a_select2(s_values7_init,s_sworst7),init) SkC7 -> gt(loopcounter,n1) SkC5.
% 278.53/278.75 281[0:Rew:225.2,280.14,12.0,280.14,225.2,280.3,12.0,280.3,12.0,280.2,203.0,280.2,12.0,280.1,202.0,280.1,12.0,280.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(s_best7_init,s_best7_init) SkC7* -> gt(loopcounter,n1) SkC5.
% 278.53/278.75 282[0:Obv:281.14] || leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 SkC7* -> gt(loopcounter,n1) SkC5.
% 278.53/278.75 283[0:MRR:282.0,282.1,282.2,282.3,282.4,282.5,282.6,282.7,282.8,282.9,15.0,16.0,17.0,18.0,19.0,20.0,1.0,2.0,3.0,4.0] || SkC7* -> gt(loopcounter,n1) SkC5.
% 278.53/278.75 284[0:Obv:199.17] || equal(init,pvar1400_init) equal(init,pvar1401_init) equal(init,pvar1402_init) equal(init,s_best7_init) equal(init,s_sworst7_init) equal(init,s_worst7_init) equal(a_select2(s_values7_init,s_worst7),init)** leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(a_select2(s_values7_init,s_sworst7),init) SkC7 -> SkC5.
% 278.53/278.75 285[0:Rew:225.2,284.17,12.0,284.17,225.2,284.6,12.0,284.6,12.0,284.5,203.0,284.5,12.0,284.4,202.0,284.4,12.0,284.3,12.0,284.2,12.0,284.1,12.0,284.0] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 equal(s_best7_init,s_best7_init) SkC7* -> SkC5.
% 278.53/278.75 286[0:Obv:285.17] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) leq(n0,s_best7) leq(n0,s_sworst7) leq(n0,s_worst7) leq(s_best7,n3) leq(s_sworst7,n3) leq(s_worst7,n3) SkC1 SkC2 SkC3 SkC4 SkC7* -> SkC5.
% 278.53/278.75 287[0:MRR:286.3,286.4,286.5,286.6,286.7,286.8,286.9,286.10,286.11,286.12,15.0,16.0,17.0,18.0,19.0,20.0,1.0,2.0,3.0,4.0] || equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) SkC7* -> SkC5.
% 278.53/278.75 338[0:Res:20.0,225.1] || leq(n0,s_worst7) -> equal(a_select2(s_values7_init,s_worst7),s_best7_init)**.
% 278.53/278.75 366[0:Res:19.0,132.0] || -> gt(n3,s_sworst7)*l equal(n3,s_sworst7).
% 278.53/278.75 399[0:Res:19.0,225.1] || leq(n0,s_sworst7) -> equal(a_select2(s_values7_init,s_sworst7),s_best7_init)**.
% 278.53/278.75 427[0:Res:18.0,132.0] || -> gt(n3,s_best7)*l equal(n3,s_best7).
% 278.53/278.75 460[0:Res:18.0,225.1] || leq(n0,s_best7) -> equal(a_select2(s_values7_init,s_best7),s_best7_init)**.
% 278.53/278.75 488[0:Res:17.0,150.0] || leq(s_worst7,n3) -> equal(s_worst7,n0) equal(n1,s_worst7)** equal(n2,s_worst7) equal(n3,s_worst7).
% 278.53/278.75 493[0:Res:17.0,143.0] || leq(s_worst7,n1)*r -> equal(n1,s_worst7) equal(s_worst7,n0).
% 278.53/278.75 599[0:MRR:338.0,17.0] || -> equal(a_select2(s_values7_init,s_worst7),s_best7_init)**.
% 278.53/278.75 600[0:Rew:599.0,263.2] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init)** equal(s_best7_init,s_best7_init) equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) -> SkC7.
% 278.53/278.75 601[0:Rew:599.0,262.2] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init)** equal(s_best7_init,s_best7_init) -> SkC8.
% 278.53/278.75 603[0:MRR:399.0,16.0] || -> equal(a_select2(s_values7_init,s_sworst7),s_best7_init)**.
% 278.53/278.75 605[0:MRR:460.0,15.0] || -> equal(a_select2(s_values7_init,s_best7),s_best7_init)**.
% 278.53/278.75 607[0:Obv:601.2] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init)** -> SkC8.
% 278.53/278.75 608[0:Rew:603.0,607.1,605.0,607.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) -> SkC8*.
% 278.53/278.75 609[0:Obv:608.1] || -> SkC8*.
% 278.53/278.75 610[0:MRR:221.0,609.0] || -> SkC7* gt(loopcounter,n1).
% 278.53/278.75 611[0:MRR:283.0,610.1] || -> SkC5* gt(loopcounter,n1).
% 278.53/278.75 612[0:MRR:271.0,611.1] || -> SkC0* gt(loopcounter,n1).
% 278.53/278.75 613[0:MRR:267.1,612.1] || SkC6* -> gt(loopcounter,n1).
% 278.53/278.75 614[0:MRR:488.0,20.0] || -> equal(n3,s_worst7) equal(n2,s_worst7) equal(n1,s_worst7)** equal(s_worst7,n0).
% 278.53/278.75 626[0:Obv:600.2] || equal(a_select2(s_values7_init,s_best7),s_best7_init) equal(a_select2(s_values7_init,s_sworst7),s_best7_init)** equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) -> SkC7.
% 278.53/278.75 627[0:Rew:603.0,626.1,605.0,626.0] || equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) equal(pvar1400_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1402_init,s_best7_init) -> SkC7*.
% 278.53/278.75 628[0:Obv:627.1] || equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> SkC7*.
% 278.53/278.75 629[0:MRR:287.3,628.3] || equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> SkC5*.
% 278.53/278.75 630[0:MRR:279.3,629.3] || equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> SkC0*.
% 278.53/278.75 631[0:MRR:275.4,630.3] || SkC6* equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> .
% 278.53/278.75 745[1:Spt:614.0] || -> equal(n3,s_worst7)**.
% 278.53/278.75 814[1:Rew:745.0,225.0] || leq(u,s_worst7) leq(n0,u) -> equal(a_select2(s_values7_init,u),s_best7_init)**.
% 278.53/278.75 857[1:Rew:745.0,209.0] || -> equal(succ(s_worst7),n4)**.
% 278.53/278.75 870[1:Rew:745.0,58.1] || -> SkC6* leq(skc11,s_worst7).
% 278.53/278.75 977[2:Spt:493.2] || -> equal(s_worst7,n0)**.
% 278.53/278.75 1164[2:Rew:977.0,857.0] || -> equal(succ(n0),n4)**.
% 278.53/278.75 1188[2:Rew:60.0,1164.0] || -> equal(n4,n1)**.
% 278.53/278.75 1194[2:Rew:1188.0,212.0] || -> equal(succ(n1),n5)**.
% 278.53/278.75 1211[2:Rew:204.0,1194.0] || -> equal(n5,n2)**.
% 278.53/278.75 1213[2:Rew:1211.0,49.0] || -> gt(n2,n2)*.
% 278.53/278.75 1228[2:MRR:1213.0,61.0] || -> .
% 278.53/278.75 1392[2:Spt:1228.0,493.2,977.0] || equal(s_worst7,n0)** -> .
% 278.53/278.75 1393[2:Spt:1228.0,493.0,493.1] || leq(s_worst7,n1)*r -> equal(n1,s_worst7).
% 278.53/278.75 1396[3:Spt:612.1] || -> gt(loopcounter,n1)*l.
% 278.53/278.75 1397[3:MRR:218.0,1396.0] || -> equal(pvar1402_init,s_best7_init)**.
% 278.53/278.75 1398[3:MRR:219.0,1396.0] || -> equal(pvar1401_init,s_best7_init)**.
% 278.53/278.75 1399[3:MRR:220.0,1396.0] || -> equal(pvar1400_init,s_best7_init)**.
% 278.53/278.75 1400[3:Rew:1397.0,631.1] || SkC6* equal(s_best7_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> .
% 278.53/278.75 1416[3:Obv:1400.1] || SkC6* equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> .
% 278.53/278.75 1417[3:Rew:1399.0,1416.2,1398.0,1416.1] || SkC6* equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) -> .
% 278.53/278.75 1418[3:Obv:1417.2] || SkC6* -> .
% 278.53/278.75 1419[3:MRR:870.0,1418.0] || -> leq(skc11,s_worst7)*l.
% 278.53/278.75 1420[3:MRR:217.1,1418.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 7384[3:SpL:142.1,1420.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 16435[3:SpL:814.2,7384.0] || leq(skc11,s_worst7)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 16436[3:Obv:16435.2] || leq(skc11,s_worst7)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 16437[3:MRR:16436.0,16436.1,1419.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 16443[3:Rew:16437.0,1420.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 16632[3:Rew:121.0,16443.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 16633[3:Obv:16632.0] || -> .
% 278.53/278.75 16769[3:Spt:16633.0,612.1,1396.0] || gt(loopcounter,n1)*l -> .
% 278.53/278.75 16770[3:Spt:16633.0,612.0] || -> SkC0*.
% 278.53/278.75 16781[3:MRR:613.1,16769.0] || SkC6* -> .
% 278.53/278.75 16782[3:MRR:870.0,16781.0] || -> leq(skc11,s_worst7)*l.
% 278.53/278.75 16783[3:MRR:217.1,16781.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 17814[3:SpL:142.1,16783.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 20746[3:SpL:814.2,17814.0] || leq(skc11,s_worst7)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 20747[3:Obv:20746.2] || leq(skc11,s_worst7)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 20748[3:MRR:20747.0,20747.1,16782.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 20756[3:Rew:20748.0,16783.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 21028[3:Rew:121.0,20756.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 21029[3:Obv:21028.0] || -> .
% 278.53/278.75 21202[1:Spt:21029.0,614.0,745.0] || equal(n3,s_worst7)** -> .
% 278.53/278.75 21203[1:Spt:21029.0,614.1,614.2,614.3] || -> equal(n2,s_worst7) equal(n1,s_worst7)** equal(s_worst7,n0).
% 278.53/278.75 22350[2:Spt:427.1] || -> equal(n3,s_best7)**.
% 278.53/278.75 22371[2:Rew:22350.0,58.1] || -> SkC6* leq(skc11,s_best7).
% 278.53/278.75 22446[2:Rew:22350.0,225.0] || leq(u,s_best7) leq(n0,u) -> equal(a_select2(s_values7_init,u),s_best7_init)**.
% 278.53/278.75 22780[3:Spt:611.1] || -> gt(loopcounter,n1)*l.
% 278.53/278.75 22781[3:MRR:220.0,22780.0] || -> equal(pvar1400_init,s_best7_init)**.
% 278.53/278.75 22782[3:MRR:219.0,22780.0] || -> equal(pvar1401_init,s_best7_init)**.
% 278.53/278.75 22783[3:MRR:218.0,22780.0] || -> equal(pvar1402_init,s_best7_init)**.
% 278.53/278.75 22784[3:Rew:22781.0,631.3] || SkC6* equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(s_best7_init,s_best7_init) -> .
% 278.53/278.75 22800[3:Obv:22784.3] || SkC6* equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) -> .
% 278.53/278.75 22801[3:Rew:22782.0,22800.2,22783.0,22800.1] || SkC6* equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) -> .
% 278.53/278.75 22802[3:Obv:22801.2] || SkC6* -> .
% 278.53/278.75 22803[3:MRR:217.1,22802.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 22804[3:MRR:22371.0,22802.0] || -> leq(skc11,s_best7)*l.
% 278.53/278.75 24082[3:SpL:142.1,22803.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 26612[3:SpL:22446.2,24082.0] || leq(skc11,s_best7)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 26613[3:Obv:26612.2] || leq(skc11,s_best7)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 26614[3:MRR:26613.0,26613.1,22804.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 26623[3:Rew:26614.0,22803.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 26936[3:Rew:121.0,26623.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 26937[3:Obv:26936.0] || -> .
% 278.53/278.75 27112[3:Spt:26937.0,611.1,22780.0] || gt(loopcounter,n1)*l -> .
% 278.53/278.75 27113[3:Spt:26937.0,611.0] || -> SkC5*.
% 278.53/278.75 27116[3:MRR:613.1,27112.0] || SkC6* -> .
% 278.53/278.75 27117[3:MRR:22371.0,27116.0] || -> leq(skc11,s_best7)*l.
% 278.53/278.75 27118[3:MRR:217.1,27116.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 27501[3:SpL:142.1,27118.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 27677[3:SpL:22446.2,27501.0] || leq(skc11,s_best7)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 27678[3:Obv:27677.2] || leq(skc11,s_best7)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 27679[3:MRR:27678.0,27678.1,27117.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 27687[3:Rew:27679.0,27118.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 28001[3:Rew:121.0,27687.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 28002[3:Obv:28001.0] || -> .
% 278.53/278.75 28177[2:Spt:28002.0,427.1,22350.0] || equal(n3,s_best7)** -> .
% 278.53/278.75 28178[2:Spt:28002.0,427.0] || -> gt(n3,s_best7)*l.
% 278.53/278.75 28219[3:Spt:366.1] || -> equal(n3,s_sworst7)**.
% 278.53/278.75 28248[3:Rew:28219.0,58.1] || -> SkC6* leq(skc11,s_sworst7).
% 278.53/278.75 28317[3:Rew:28219.0,225.0] || leq(u,s_sworst7) leq(n0,u) -> equal(a_select2(s_values7_init,u),s_best7_init)**.
% 278.53/278.75 28677[4:Spt:612.1] || -> gt(loopcounter,n1)*l.
% 278.53/278.75 28678[4:MRR:218.0,28677.0] || -> equal(pvar1402_init,s_best7_init)**.
% 278.53/278.75 28679[4:MRR:219.0,28677.0] || -> equal(pvar1401_init,s_best7_init)**.
% 278.53/278.75 28680[4:MRR:220.0,28677.0] || -> equal(pvar1400_init,s_best7_init)**.
% 278.53/278.75 28681[4:Rew:28678.0,631.1] || SkC6* equal(s_best7_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> .
% 278.53/278.75 28697[4:Obv:28681.1] || SkC6* equal(pvar1401_init,s_best7_init) equal(pvar1400_init,s_best7_init) -> .
% 278.53/278.75 28698[4:Rew:28680.0,28697.2,28679.0,28697.1] || SkC6* equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) -> .
% 278.53/278.75 28699[4:Obv:28698.2] || SkC6* -> .
% 278.53/278.75 28700[4:MRR:217.1,28699.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 28701[4:MRR:28248.0,28699.0] || -> leq(skc11,s_sworst7)*l.
% 278.53/278.75 29633[4:SpL:142.1,28700.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 37384[4:SpL:28317.2,29633.0] || leq(skc11,s_sworst7)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 37385[4:Obv:37384.2] || leq(skc11,s_sworst7)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 37386[4:MRR:37385.0,37385.1,28701.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 37395[4:Rew:37386.0,28700.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 37692[4:Rew:121.0,37395.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 37693[4:Obv:37692.0] || -> .
% 278.53/278.75 37853[4:Spt:37693.0,612.1,28677.0] || gt(loopcounter,n1)*l -> .
% 278.53/278.75 37854[4:Spt:37693.0,612.0] || -> SkC0*.
% 278.53/278.75 37864[4:MRR:613.1,37853.0] || SkC6* -> .
% 278.53/278.75 37865[4:MRR:28248.0,37864.0] || -> leq(skc11,s_sworst7)*l.
% 278.53/278.75 37866[4:MRR:217.1,37864.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 38843[4:SpL:142.1,37866.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 45778[4:SpL:28317.2,38843.0] || leq(skc11,s_sworst7)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 45779[4:Obv:45778.2] || leq(skc11,s_sworst7)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 45780[4:MRR:45779.0,45779.1,37865.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 45789[4:Rew:45780.0,37866.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 46086[4:Rew:121.0,45789.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 46087[4:Obv:46086.0] || -> .
% 278.53/278.75 46247[3:Spt:46087.0,366.1,28219.0] || equal(n3,s_sworst7)** -> .
% 278.53/278.75 46248[3:Spt:46087.0,366.0] || -> gt(n3,s_sworst7)*l.
% 278.53/278.75 46314[4:Spt:611.1] || -> gt(loopcounter,n1)*l.
% 278.53/278.75 46315[4:MRR:220.0,46314.0] || -> equal(pvar1400_init,s_best7_init)**.
% 278.53/278.75 46316[4:MRR:219.0,46314.0] || -> equal(pvar1401_init,s_best7_init)**.
% 278.53/278.75 46317[4:MRR:218.0,46314.0] || -> equal(pvar1402_init,s_best7_init)**.
% 278.53/278.75 46318[4:Rew:46315.0,631.3] || SkC6* equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) equal(s_best7_init,s_best7_init) -> .
% 278.53/278.75 46334[4:Obv:46318.3] || SkC6* equal(pvar1402_init,s_best7_init) equal(pvar1401_init,s_best7_init) -> .
% 278.53/278.75 46335[4:Rew:46316.0,46334.2,46317.0,46334.1] || SkC6* equal(s_best7_init,s_best7_init) equal(s_best7_init,s_best7_init) -> .
% 278.53/278.75 46336[4:Obv:46335.2] || SkC6* -> .
% 278.53/278.75 46337[4:MRR:58.0,46336.0] || -> leq(skc11,n3)*l.
% 278.53/278.75 46338[4:MRR:217.1,46336.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 47830[4:SpL:142.1,46338.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 61966[4:SpL:225.2,47830.0] || leq(skc11,n3)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 61967[4:Obv:61966.2] || leq(skc11,n3)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 61968[4:MRR:61967.0,61967.1,46337.0,6.0] || -> equal(skc11,s_worst7)**.
% 278.53/278.75 61977[4:Rew:61968.0,46338.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 278.53/278.75 62322[4:Rew:121.0,61977.0] || equal(s_best7_init,s_best7_init)* -> .
% 278.53/278.75 62323[4:Obv:62322.0] || -> .
% 278.53/278.75 62518[4:Spt:62323.0,611.1,46314.0] || gt(loopcounter,n1)*l -> .
% 278.53/278.75 62519[4:Spt:62323.0,611.0] || -> SkC5*.
% 278.53/278.75 62522[4:MRR:613.1,62518.0] || SkC6* -> .
% 278.53/278.75 62523[4:MRR:58.0,62522.0] || -> leq(skc11,n3)*l.
% 278.53/278.75 62524[4:MRR:217.1,62522.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),skc11),s_best7_init)** -> .
% 278.53/278.75 63407[4:SpL:142.1,62524.0] || equal(a_select2(s_values7_init,skc11),s_best7_init)** -> equal(skc11,s_worst7).
% 278.53/278.75 78420[4:SpL:225.2,63407.0] || leq(skc11,n3)*l leq(n0,skc11) equal(s_best7_init,s_best7_init) -> equal(skc11,s_worst7).
% 278.53/278.75 78421[4:Obv:78420.2] || leq(skc11,n3)*l leq(n0,skc11) -> equal(skc11,s_worst7).
% 278.53/278.75 78422[4:MRR:78421.0,78421.1,62523.0,6.0] || -> equal(skc11,s_worst7)**.
% 289.79/290.01 78431[4:Rew:78422.0,62524.0] || equal(a_select2(tptp_update2(s_values7_init,s_worst7,s_best7_init),s_worst7),s_best7_init)** -> .
% 289.79/290.01 78776[4:Rew:121.0,78431.0] || equal(s_best7_init,s_best7_init)* -> .
% 289.79/290.01 78777[4:Obv:78776.0] || -> .
% 289.79/290.01 % SZS output end Refutation
% 289.79/290.01 Formulae used in the proof : gauss_init_0061 gt_succ leq_succ_gt_equiv gt_5_2 successor_1 irreflexivity_gt successor_2 successor_3 successor_4 successor_5 sel2_update_1 leq_gt2 sel2_update_2 finite_domain_1 finite_domain_3
% 289.79/290.01
%------------------------------------------------------------------------------