TSTP Solution File: MSC010+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Sun Jul 17 22:59:34 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 : Fri Jul 1 15:58:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.51
% 0.17/0.51 SPASS V 3.9
% 0.17/0.51 SPASS beiseite: Proof found.
% 0.17/0.51 % SZS status Theorem
% 0.17/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.51 SPASS derived 292 clauses, backtracked 172 clauses, performed 45 splits and kept 356 clauses.
% 0.17/0.51 SPASS allocated 86174 KBytes.
% 0.17/0.51 SPASS spent 0:00:00.17 on the problem.
% 0.17/0.51 0:00:00.04 for the input.
% 0.17/0.51 0:00:00.07 for the FLOTTER CNF translation.
% 0.17/0.51 0:00:00.00 for inferences.
% 0.17/0.51 0:00:00.00 for the backtracking.
% 0.17/0.51 0:00:00.02 for the reduction.
% 0.17/0.51
% 0.17/0.51
% 0.17/0.51 Here is a proof with depth 2, length 185 :
% 0.17/0.51 % SZS output start Refutation
% 0.17/0.51 1[0:Inp] || -> leq(n0,skc20)*.
% 0.17/0.51 2[0:Inp] || -> leq(n0,pv5)*.
% 0.17/0.51 3[0:Inp] || -> leq(n0,pv63)*.
% 0.17/0.51 4[0:Inp] || -> leq(n0,pv64)*.
% 0.17/0.51 5[0:Inp] || -> leq(pv5,n998)*.
% 0.17/0.51 6[0:Inp] || -> leq(pv63,n5)*.
% 0.17/0.51 7[0:Inp] || -> leq(pv64,n5)*.
% 0.17/0.51 8[0:Inp] || -> leq(skc20,n5)*.
% 0.17/0.51 9[0:Inp] || -> leq(skc20,pv64)*.
% 0.17/0.51 10[0:Inp] || -> leq(n0,skc39)*.
% 0.17/0.51 11[0:Inp] || -> leq(skc38,n5)*.
% 0.17/0.51 12[0:Inp] || -> leq(n0,skc37)*.
% 0.17/0.51 13[0:Inp] || -> leq(n0,skc36)*.
% 0.17/0.51 14[0:Inp] || -> leq(skc35,n5)*.
% 0.17/0.51 15[0:Inp] || -> leq(n0,skc34)*.
% 0.17/0.51 16[0:Inp] || -> leq(n0,skc33)*.
% 0.17/0.51 17[0:Inp] || -> leq(n0,skc32)*.
% 0.17/0.51 18[0:Inp] || -> leq(n0,skc31)*.
% 0.17/0.51 19[0:Inp] || -> leq(n0,skc30)*.
% 0.17/0.51 20[0:Inp] || -> leq(skc29,n5)*.
% 0.17/0.51 21[0:Inp] || -> leq(n0,skc28)*.
% 0.17/0.51 22[0:Inp] || -> leq(n0,skc27)*.
% 0.17/0.51 23[0:Inp] || -> leq(n0,skc26)*.
% 0.17/0.51 24[0:Inp] || -> leq(skc25,n5)*.
% 0.17/0.51 25[0:Inp] || -> leq(n0,skc24)*.
% 0.17/0.51 26[0:Inp] || -> leq(skc23,n5)*.
% 0.17/0.51 27[0:Inp] || -> leq(n0,skc22)*.
% 0.17/0.51 28[0:Inp] || -> leq(n0,skc21)*.
% 0.17/0.51 29[0:Inp] || equal(pv64,pv63)** -> .
% 0.17/0.51 30[0:Inp] || equal(skc20,pv64)** -> .
% 0.17/0.51 31[0:Inp] || -> SkC0 leq(skc24,n2)*.
% 0.17/0.51 32[0:Inp] || -> SkC0 leq(n0,skc23)*.
% 0.17/0.51 33[0:Inp] || -> SkC1 leq(skc26,n5)*.
% 0.17/0.51 34[0:Inp] || -> SkC1 leq(n0,skc25)*.
% 0.17/0.51 35[0:Inp] || -> SkC2 leq(skc28,n5)*.
% 0.17/0.51 36[0:Inp] || -> SkC2 leq(skc27,n0)*.
% 0.17/0.51 37[0:Inp] || -> SkC3 leq(skc30,n5)*.
% 0.17/0.51 38[0:Inp] || -> SkC3 leq(n0,skc29)*.
% 0.17/0.51 39[0:Inp] || -> SkC4 leq(skc32,n2)*.
% 0.17/0.51 40[0:Inp] || -> SkC4 leq(skc31,n2)*.
% 0.17/0.51 41[0:Inp] || -> SkC5 leq(skc34,n5)*.
% 0.17/0.51 42[0:Inp] || -> SkC5 leq(skc33,n0)*.
% 0.17/0.51 43[0:Inp] || -> SkC6 leq(skc36,n5)*.
% 0.17/0.51 44[0:Inp] || -> SkC6 leq(n0,skc35)*.
% 0.17/0.51 45[0:Inp] || -> SkC7 leq(skc37,n5)*.
% 0.17/0.51 46[0:Inp] || -> SkC7 gt(pv64,skc37)*.
% 0.17/0.51 49[0:Inp] || -> SkC8 leq(skc39,n5)*.
% 0.17/0.51 50[0:Inp] || -> SkC8 gt(pv63,skc39)*.
% 0.17/0.51 51[0:Inp] || -> SkC8 leq(n0,skc38)*.
% 0.17/0.51 52[0:Inp] || equal(a_select3(id_ds1_filter_init,pv63,skc20),init)** -> .
% 0.17/0.51 53[0:Inp] || equal(a_select3(h_ds1_filter_init,skc24,skc23),init)** -> SkC0.
% 0.17/0.51 54[0:Inp] || equal(a_select3(phi_ds1_filter_init,skc26,skc25),init)** -> SkC1.
% 0.17/0.51 55[0:Inp] || equal(a_select3(dv_ds1_filter_init,skc28,skc27),init)** -> SkC2.
% 0.17/0.51 56[0:Inp] || equal(a_select3(q_ds1_filter_init,skc30,skc29),init)** -> SkC3.
% 0.17/0.51 57[0:Inp] || equal(a_select3(r_ds1_filter_init,skc32,skc31),init)** -> SkC4.
% 0.17/0.51 58[0:Inp] || equal(a_select3(xhatmin_ds1_filter_init,skc34,skc33),init)** -> SkC5.
% 0.17/0.51 59[0:Inp] || equal(a_select3(pminus_ds1_filter_init,skc36,skc35),init)** -> SkC6.
% 0.17/0.51 60[0:Inp] || equal(a_select3(id_ds1_filter_init,pv63,skc37),init)** -> SkC7.
% 0.17/0.51 61[0:Inp] || equal(a_select3(id_ds1_filter_init,skc39,skc38),init)** -> SkC8.
% 0.17/0.51 62[0:Inp] || leq(u,n5) leq(v,n5) leq(n0,u) leq(n0,v) -> equal(a_select3(pminus_ds1_filter_init,v,u),init)**.
% 0.17/0.51 63[0:Inp] || leq(u,n0) leq(v,n5) leq(n0,u) leq(n0,v) -> equal(a_select3(xhatmin_ds1_filter_init,v,u),init)**.
% 0.17/0.51 64[0:Inp] || leq(u,n2) leq(v,n2) leq(n0,u) leq(n0,v) -> equal(a_select3(r_ds1_filter_init,v,u),init)**.
% 0.17/0.51 65[0:Inp] || leq(u,n5) leq(v,n5) leq(n0,u) leq(n0,v) -> equal(a_select3(q_ds1_filter_init,v,u),init)**.
% 0.17/0.51 66[0:Inp] || leq(u,n0) leq(v,n5) leq(n0,u) leq(n0,v) -> equal(a_select3(dv_ds1_filter_init,v,u),init)**.
% 0.17/0.51 67[0:Inp] || leq(u,n5) leq(v,n5) leq(n0,u) leq(n0,v) -> equal(a_select3(phi_ds1_filter_init,v,u),init)**.
% 0.17/0.51 68[0:Inp] || leq(u,n5) leq(v,n2) leq(n0,u) leq(n0,v) -> equal(a_select3(h_ds1_filter_init,v,u),init)**.
% 0.17/0.51 69[0:Inp] || leq(u,n5) leq(v,pred(pv63)) leq(n0,u) leq(n0,v) -> equal(a_select3(id_ds1_filter_init,v,u),init)**.
% 0.17/0.51 70[0:Inp] || leq(u,n5) leq(v,n5) leq(n0,u) gt(pv63,v) leq(n0,v) -> equal(a_select3(id_ds1_filter_init,v,u),init)**.
% 0.17/0.51 71[0:Inp] || leq(n0,u) leq(u,n5) gt(pv64,u) leq(pv63,n5) leq(n0,pv63) -> equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 72[0:Inp] || leq(n0,pv5) leq(n0,pv63) leq(n0,pv64) leq(pv5,n998) leq(pv63,n5) leq(pv64,n5) SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,u) leq(u,n5) leq(u,pv64) -> leq(skc22,n5) equal(pv64,pv63) equal(pv64,u) equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 73[0:Inp] || leq(n0,pv5) leq(n0,pv63) leq(n0,pv64) leq(pv5,n998) leq(pv63,n5) leq(pv64,n5) SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,u) leq(u,n5) leq(u,pv64) -> leq(skc21,pred(pv63)) equal(pv64,pv63) equal(pv64,u) equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 74[0:Inp] || equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** leq(n0,pv5) leq(n0,pv63) leq(n0,pv64) leq(pv5,n998) leq(pv63,n5) leq(pv64,n5) SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,u) leq(u,n5) leq(u,pv64) -> equal(pv64,pv63) equal(pv64,u) equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 75[0:MRR:71.3,71.4,6.0,3.0] || leq(u,n5) gt(pv64,u) leq(n0,u) -> equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 76[0:MRR:72.0,72.1,72.2,72.3,72.4,72.5,72.19,2.0,3.0,4.0,5.0,6.0,7.0,29.0] || SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,u) leq(u,n5) leq(u,pv64) -> leq(skc22,n5) equal(pv64,u) equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 77[0:MRR:73.0,73.1,73.2,73.3,73.4,73.5,73.19,2.0,3.0,4.0,5.0,6.0,7.0,29.0] || SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,u) leq(u,n5) leq(u,pv64) -> leq(skc21,pred(pv63)) equal(pv64,u) equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 78[0:MRR:74.1,74.2,74.3,74.4,74.5,74.6,74.19,2.0,3.0,4.0,5.0,6.0,7.0,29.0] || equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,u) leq(u,n5) leq(u,pv64) -> equal(pv64,u) equal(a_select3(id_ds1_filter_init,pv63,u),init)**.
% 0.17/0.51 82[0:Res:8.0,78.11] || equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,skc20) leq(skc20,pv64) -> equal(skc20,pv64) equal(a_select3(id_ds1_filter_init,pv63,skc20),init).
% 0.17/0.51 83[0:Res:8.0,77.10] || SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,skc20) leq(skc20,pv64) -> leq(skc21,pred(pv63)) equal(skc20,pv64) equal(a_select3(id_ds1_filter_init,pv63,skc20),init)**.
% 0.17/0.51 84[0:Res:8.0,76.10] || SkC0 SkC1 SkC2 SkC3 SkC4 SkC5 SkC6 SkC7 SkC8 leq(n0,skc20) leq(skc20,pv64) -> leq(skc22,n5) equal(skc20,pv64) equal(a_select3(id_ds1_filter_init,pv63,skc20),init)**.
% 0.17/0.51 195[0:MRR:84.9,84.10,84.12,84.13,1.0,9.0,30.0,52.0] || SkC8 SkC7 SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 197[0:MRR:83.9,83.10,83.12,83.13,1.0,9.0,30.0,52.0] || SkC8 SkC7 SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 199[0:MRR:82.10,82.11,82.12,82.13,1.0,9.0,30.0,52.0] || SkC8 SkC7 SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 200[1:Spt:50.0] || -> SkC8*.
% 0.17/0.51 201[1:MRR:195.0,200.0] || SkC7 SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 202[1:MRR:197.0,200.0] || SkC7 SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 203[1:MRR:199.0,200.0] || SkC7 SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 204[2:Spt:46.0] || -> SkC7*.
% 0.17/0.51 205[2:MRR:201.0,204.0] || SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 206[2:MRR:202.0,204.0] || SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 207[2:MRR:203.0,204.0] || SkC6 SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 208[3:Spt:44.0] || -> SkC6*.
% 0.17/0.51 209[3:MRR:205.0,208.0] || SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 210[3:MRR:206.0,208.0] || SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 211[3:MRR:207.0,208.0] || SkC5 SkC4 SkC3 SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 212[4:Spt:42.0] || -> SkC5*.
% 0.17/0.51 213[4:MRR:209.0,212.0] || SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 214[4:MRR:210.0,212.0] || SkC4 SkC3 SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 215[4:MRR:211.0,212.0] || SkC4 SkC3 SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 216[5:Spt:40.0] || -> SkC4*.
% 0.17/0.51 217[5:MRR:213.0,216.0] || SkC3 SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 218[5:MRR:214.0,216.0] || SkC3 SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 219[5:MRR:215.0,216.0] || SkC3 SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 220[6:Spt:38.0] || -> SkC3*.
% 0.17/0.51 221[6:MRR:217.0,220.0] || SkC2 SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 222[6:MRR:218.0,220.0] || SkC2 SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 223[6:MRR:219.0,220.0] || SkC2 SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 224[7:Spt:36.0] || -> SkC2*.
% 0.17/0.51 225[7:MRR:221.0,224.0] || SkC1 SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 226[7:MRR:222.0,224.0] || SkC1 SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 227[7:MRR:223.0,224.0] || SkC1 SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 228[8:Spt:34.0] || -> SkC1*.
% 0.17/0.51 229[8:MRR:225.0,228.0] || SkC0 -> leq(skc22,n5)*.
% 0.17/0.51 230[8:MRR:226.0,228.0] || SkC0 -> leq(skc21,pred(pv63))*.
% 0.17/0.51 231[8:MRR:227.0,228.0] || SkC0 equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 232[9:Spt:32.0] || -> SkC0*.
% 0.17/0.51 233[9:MRR:229.0,232.0] || -> leq(skc22,n5)*.
% 0.17/0.51 234[9:MRR:230.0,232.0] || -> leq(skc21,pred(pv63))*.
% 0.17/0.51 235[9:MRR:231.0,232.0] || equal(a_select3(id_ds1_filter_init,skc21,skc22),init)** -> .
% 0.17/0.51 346[9:SpL:69.4,235.0] || leq(skc22,n5) leq(skc21,pred(pv63))* leq(n0,skc22) leq(n0,skc21) equal(init,init) -> .
% 0.17/0.51 347[9:Obv:346.4] || leq(skc22,n5) leq(skc21,pred(pv63))* leq(n0,skc22) leq(n0,skc21) -> .
% 0.17/0.51 348[9:MRR:347.0,347.1,347.2,347.3,233.0,234.0,27.0,28.0] || -> .
% 0.17/0.51 350[9:Spt:348.0,32.0,232.0] || SkC0* -> .
% 0.17/0.51 351[9:Spt:348.0,32.1] || -> leq(n0,skc23)*.
% 0.17/0.51 352[9:MRR:31.0,350.0] || -> leq(skc24,n2)*.
% 0.17/0.51 353[9:MRR:53.1,350.0] || equal(a_select3(h_ds1_filter_init,skc24,skc23),init)** -> .
% 0.17/0.51 354[9:SpL:68.4,353.0] || leq(skc23,n5) leq(skc24,n2)* leq(n0,skc23) leq(n0,skc24) equal(init,init) -> .
% 0.17/0.51 355[9:Obv:354.4] || leq(skc23,n5) leq(skc24,n2)* leq(n0,skc23) leq(n0,skc24) -> .
% 0.17/0.51 356[9:MRR:355.0,355.1,355.2,355.3,26.0,352.0,351.0,25.0] || -> .
% 0.17/0.51 357[8:Spt:356.0,34.0,228.0] || SkC1* -> .
% 0.17/0.51 358[8:Spt:356.0,34.1] || -> leq(n0,skc25)*.
% 0.17/0.51 359[8:MRR:33.0,357.0] || -> leq(skc26,n5)*.
% 0.17/0.51 360[8:MRR:54.1,357.0] || equal(a_select3(phi_ds1_filter_init,skc26,skc25),init)** -> .
% 0.17/0.51 362[8:SpL:67.4,360.0] || leq(skc25,n5) leq(skc26,n5)* leq(n0,skc25) leq(n0,skc26) equal(init,init) -> .
% 0.17/0.51 363[8:Obv:362.4] || leq(skc25,n5) leq(skc26,n5)* leq(n0,skc25) leq(n0,skc26) -> .
% 0.17/0.51 364[8:MRR:363.0,363.1,363.2,363.3,24.0,359.0,358.0,23.0] || -> .
% 0.17/0.51 365[7:Spt:364.0,36.0,224.0] || SkC2* -> .
% 0.17/0.51 366[7:Spt:364.0,36.1] || -> leq(skc27,n0)*.
% 0.17/0.51 367[7:MRR:35.0,365.0] || -> leq(skc28,n5)*.
% 0.17/0.51 368[7:MRR:55.1,365.0] || equal(a_select3(dv_ds1_filter_init,skc28,skc27),init)** -> .
% 0.17/0.51 371[7:SpL:66.4,368.0] || leq(skc27,n0) leq(skc28,n5)* leq(n0,skc27) leq(n0,skc28) equal(init,init) -> .
% 0.17/0.51 372[7:Obv:371.4] || leq(skc27,n0) leq(skc28,n5)* leq(n0,skc27) leq(n0,skc28) -> .
% 0.17/0.51 373[7:MRR:372.0,372.1,372.2,372.3,366.0,367.0,22.0,21.0] || -> .
% 0.17/0.51 374[6:Spt:373.0,38.0,220.0] || SkC3* -> .
% 0.17/0.51 375[6:Spt:373.0,38.1] || -> leq(n0,skc29)*.
% 0.17/0.51 376[6:MRR:37.0,374.0] || -> leq(skc30,n5)*.
% 0.17/0.51 377[6:MRR:56.1,374.0] || equal(a_select3(q_ds1_filter_init,skc30,skc29),init)** -> .
% 0.17/0.51 381[6:SpL:65.4,377.0] || leq(skc29,n5) leq(skc30,n5)* leq(n0,skc29) leq(n0,skc30) equal(init,init) -> .
% 0.17/0.51 382[6:Obv:381.4] || leq(skc29,n5) leq(skc30,n5)* leq(n0,skc29) leq(n0,skc30) -> .
% 0.17/0.51 383[6:MRR:382.0,382.1,382.2,382.3,20.0,376.0,375.0,19.0] || -> .
% 0.17/0.51 384[5:Spt:383.0,40.0,216.0] || SkC4* -> .
% 0.17/0.51 385[5:Spt:383.0,40.1] || -> leq(skc31,n2)*.
% 0.17/0.51 386[5:MRR:39.0,384.0] || -> leq(skc32,n2)*.
% 0.17/0.51 387[5:MRR:57.1,384.0] || equal(a_select3(r_ds1_filter_init,skc32,skc31),init)** -> .
% 0.17/0.51 392[5:SpL:64.4,387.0] || leq(skc31,n2) leq(skc32,n2)* leq(n0,skc31) leq(n0,skc32) equal(init,init) -> .
% 0.17/0.51 393[5:Obv:392.4] || leq(skc31,n2) leq(skc32,n2)* leq(n0,skc31) leq(n0,skc32) -> .
% 0.17/0.51 394[5:MRR:393.0,393.1,393.2,393.3,385.0,386.0,18.0,17.0] || -> .
% 0.17/0.51 395[4:Spt:394.0,42.0,212.0] || SkC5* -> .
% 0.17/0.51 396[4:Spt:394.0,42.1] || -> leq(skc33,n0)*.
% 0.17/0.51 397[4:MRR:41.0,395.0] || -> leq(skc34,n5)*.
% 0.17/0.51 398[4:MRR:58.1,395.0] || equal(a_select3(xhatmin_ds1_filter_init,skc34,skc33),init)** -> .
% 0.17/0.51 404[4:SpL:63.4,398.0] || leq(skc33,n0) leq(skc34,n5)* leq(n0,skc33) leq(n0,skc34) equal(init,init) -> .
% 0.17/0.51 405[4:Obv:404.4] || leq(skc33,n0) leq(skc34,n5)* leq(n0,skc33) leq(n0,skc34) -> .
% 0.17/0.51 406[4:MRR:405.0,405.1,405.2,405.3,396.0,397.0,16.0,15.0] || -> .
% 0.17/0.51 407[3:Spt:406.0,44.0,208.0] || SkC6* -> .
% 0.17/0.51 408[3:Spt:406.0,44.1] || -> leq(n0,skc35)*.
% 0.17/0.51 409[3:MRR:43.0,407.0] || -> leq(skc36,n5)*.
% 0.17/0.51 410[3:MRR:59.1,407.0] || equal(a_select3(pminus_ds1_filter_init,skc36,skc35),init)** -> .
% 0.17/0.51 417[3:SpL:62.4,410.0] || leq(skc35,n5) leq(skc36,n5)* leq(n0,skc35) leq(n0,skc36) equal(init,init) -> .
% 0.17/0.51 418[3:Obv:417.4] || leq(skc35,n5) leq(skc36,n5)* leq(n0,skc35) leq(n0,skc36) -> .
% 0.17/0.51 419[3:MRR:418.0,418.1,418.2,418.3,14.0,409.0,408.0,13.0] || -> .
% 0.17/0.51 420[2:Spt:419.0,46.0,204.0] || SkC7* -> .
% 0.17/0.51 421[2:Spt:419.0,46.1] || -> gt(pv64,skc37)*.
% 0.17/0.51 422[2:MRR:45.0,420.0] || -> leq(skc37,n5)*.
% 0.17/0.51 423[2:MRR:60.1,420.0] || equal(a_select3(id_ds1_filter_init,pv63,skc37),init)** -> .
% 0.17/0.51 431[2:SpL:75.3,423.0] || leq(skc37,n5)* gt(pv64,skc37) leq(n0,skc37) equal(init,init) -> .
% 0.17/0.51 433[2:Obv:431.3] || leq(skc37,n5)* gt(pv64,skc37) leq(n0,skc37) -> .
% 0.17/0.51 434[2:MRR:433.0,433.1,433.2,422.0,421.0,12.0] || -> .
% 0.17/0.51 436[1:Spt:434.0,50.0,200.0] || SkC8* -> .
% 0.17/0.51 437[1:Spt:434.0,50.1] || -> gt(pv63,skc39)*.
% 0.17/0.51 438[1:MRR:51.0,436.0] || -> leq(n0,skc38)*.
% 0.17/0.51 439[1:MRR:49.0,436.0] || -> leq(skc39,n5)*.
% 0.17/0.51 440[1:MRR:61.1,436.0] || equal(a_select3(id_ds1_filter_init,skc39,skc38),init)** -> .
% 0.17/0.51 477[1:SpL:70.5,440.0] || leq(skc38,n5) leq(skc39,n5)* leq(n0,skc38) gt(pv63,skc39) leq(n0,skc39) equal(init,init) -> .
% 0.17/0.51 478[1:Obv:477.5] || leq(skc38,n5) leq(skc39,n5)* leq(n0,skc38) gt(pv63,skc39) leq(n0,skc39) -> .
% 0.17/0.51 479[1:MRR:478.0,478.1,478.2,478.3,478.4,11.0,439.0,438.0,437.0,10.0] || -> .
% 0.17/0.51 % SZS output end Refutation
% 0.17/0.51 Formulae used in the proof : n91 n1
% 0.17/0.51
%------------------------------------------------------------------------------