TSTP Solution File: PRO018+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 17:53:54 EDT 2022
% Result : Theorem 1.06s 1.29s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 03:32:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.06/1.29
% 1.06/1.29 SPASS V 3.9
% 1.06/1.29 SPASS beiseite: Proof found.
% 1.06/1.29 % SZS status Theorem
% 1.06/1.29 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.29 SPASS derived 4010 clauses, backtracked 470 clauses, performed 29 splits and kept 1991 clauses.
% 1.06/1.29 SPASS allocated 101437 KBytes.
% 1.06/1.29 SPASS spent 0:00:00.94 on the problem.
% 1.06/1.29 0:00:00.03 for the input.
% 1.06/1.29 0:00:00.11 for the FLOTTER CNF translation.
% 1.06/1.29 0:00:00.07 for inferences.
% 1.06/1.29 0:00:00.01 for the backtracking.
% 1.06/1.29 0:00:00.65 for the reduction.
% 1.06/1.29
% 1.06/1.29
% 1.06/1.29 Here is a proof with depth 12, length 163 :
% 1.06/1.29 % SZS output start Refutation
% 1.06/1.29 1[0:Inp] || -> arboreal(skc3)*.
% 1.06/1.29 3[0:Inp] || -> atomic(tptp4)*.
% 1.06/1.29 4[0:Inp] || -> atomic(tptp1)*.
% 1.06/1.29 5[0:Inp] || -> atomic(tptp2)*.
% 1.06/1.29 6[0:Inp] || -> atomic(tptp3)*.
% 1.06/1.29 7[0:Inp] || -> subactivity_occurrence(skc3,skc2)*.
% 1.06/1.29 8[0:Inp] || -> occurrence_of(skc2,tptp0)*.
% 1.06/1.29 9[0:Inp] || -> activity(skf27(u))*.
% 1.06/1.29 11[0:Inp] || leaf_occ(skc3,skc2)* -> .
% 1.06/1.29 12[0:Inp] || -> atomic(skf26(u,v))*.
% 1.06/1.29 13[0:Inp] || equal(tptp4,tptp3)** -> .
% 1.06/1.29 16[0:Inp] || equal(tptp1,tptp3)** -> .
% 1.06/1.29 17[0:Inp] || equal(tptp2,tptp3)** -> .
% 1.06/1.29 19[0:Inp] legal(u) || -> arboreal(u)*.
% 1.06/1.29 20[0:Inp] || occurrence_of(u,tptp1)* -> SkP0(u).
% 1.06/1.29 21[0:Inp] || occurrence_of(u,tptp2)* -> SkP0(u).
% 1.06/1.29 23[0:Inp] || precedes(u,v)* -> legal(v).
% 1.06/1.29 25[0:Inp] || subactivity_occurrence(u,v)* -> activity_occurrence(u).
% 1.06/1.29 27[0:Inp] || occurrence_of(u,v)* -> activity(v).
% 1.06/1.29 28[0:Inp] || occurrence_of(u,v)* -> activity_occurrence(u).
% 1.06/1.29 29[0:Inp] activity(u) || -> subactivity(u,u)*.
% 1.06/1.29 36[0:Inp] activity_occurrence(u) || -> occurrence_of(u,skf27(u))*.
% 1.06/1.29 38[0:Inp] || min_precedes(u,v,w)* -> precedes(u,v).
% 1.06/1.29 40[0:Inp] || next_subocc(u,v,w)* -> min_precedes(u,v,w).
% 1.06/1.29 46[0:Inp] arboreal(u) || occurrence_of(u,v)* -> atomic(v).
% 1.06/1.29 47[0:Inp] atomic(u) || occurrence_of(v,u)* -> arboreal(v).
% 1.06/1.29 50[0:Inp] || atocc(u,v) -> occurrence_of(u,skf26(u,v))*.
% 1.06/1.29 52[0:Inp] || root(u,v)*+ -> atocc(u,skf33(u,w))*.
% 1.06/1.29 54[0:Inp] legal(u) || atocc(u,v)* -> root(u,v).
% 1.06/1.29 55[0:Inp] || min_precedes(u,v,w)*+ -> atocc(v,skf31(w,v))*.
% 1.06/1.29 60[0:Inp] || occurrence_of(u,v)*+ occurrence_of(u,w)* -> equal(w,v)*.
% 1.06/1.29 63[0:Inp] || min_precedes(u,v,w) -> occurrence_of(skf29(v,u,w),w)*.
% 1.06/1.29 65[0:Inp] || min_precedes(u,v,w)*+ -> subactivity_occurrence(v,skf29(v,x,y))*.
% 1.06/1.29 73[0:Inp] || leaf_occ(u,v)* occurrence_of(v,w)* min_precedes(u,x,w)*+ -> .
% 1.06/1.29 76[0:Inp] atomic(u) || occurrence_of(v,u)*+ subactivity(w,u)* -> atocc(v,w)*.
% 1.06/1.29 84[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) -> occurrence_of(skf40(w),tptp3)* leaf_occ(u,v).
% 1.06/1.29 85[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) -> occurrence_of(skf38(w),tptp4)* leaf_occ(u,v).
% 1.06/1.29 86[0:Inp] arboreal(u) || subactivity_occurrence(u,v)*+ occurrence_of(v,tptp0) -> leaf_occ(u,v) next_subocc(u,skf40(u),tptp0)*.
% 1.06/1.29 87[0:Inp] arboreal(u) || subactivity_occurrence(u,v)*+ occurrence_of(v,tptp0) -> leaf_occ(u,v) min_precedes(skf38(u),skf36(u),tptp0)*.
% 1.06/1.29 88[0:Inp] arboreal(u) || subactivity_occurrence(u,v)*+ occurrence_of(v,tptp0) -> leaf_occ(u,v) min_precedes(skf40(u),skf38(u),tptp0)*.
% 1.06/1.29 89[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) -> occurrence_of(skf36(w),tptp1) occurrence_of(skf36(w),tptp2)* leaf_occ(u,v).
% 1.06/1.29 90[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) min_precedes(skf40(u),w,tptp0)*+ -> leaf_occ(u,v) equal(w,skf36(u)) equal(w,skf38(u)).
% 1.06/1.29 128[0:Res:7.0,90.1] arboreal(skc3) || min_precedes(skf40(skc3),u,tptp0)* occurrence_of(skc2,tptp0) -> equal(u,skf38(skc3)) equal(u,skf36(skc3)) leaf_occ(skc3,skc2).
% 1.06/1.29 129[0:Res:7.0,89.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf36(u),tptp1) occurrence_of(skf36(u),tptp2)* leaf_occ(skc3,skc2).
% 1.06/1.29 130[0:Res:7.0,88.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf40(skc3),skf38(skc3),tptp0)* leaf_occ(skc3,skc2).
% 1.06/1.29 131[0:Res:7.0,87.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf38(skc3),skf36(skc3),tptp0)* leaf_occ(skc3,skc2).
% 1.06/1.29 132[0:Res:7.0,86.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> next_subocc(skc3,skf40(skc3),tptp0)* leaf_occ(skc3,skc2).
% 1.06/1.29 133[0:Res:7.0,84.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf40(u),tptp3)* leaf_occ(skc3,skc2).
% 1.06/1.29 134[0:Res:7.0,85.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf38(u),tptp4)* leaf_occ(skc3,skc2).
% 1.06/1.29 135[0:Res:7.0,25.0] || -> activity_occurrence(skc3)*.
% 1.06/1.29 155[0:MRR:133.0,133.1,133.3,1.0,8.0,11.0] || -> occurrence_of(skf40(u),tptp3)*.
% 1.06/1.29 156[0:MRR:134.0,134.1,134.3,1.0,8.0,11.0] || -> occurrence_of(skf38(u),tptp4)*.
% 1.06/1.29 157[0:MRR:132.0,132.1,132.3,1.0,8.0,11.0] || -> next_subocc(skc3,skf40(skc3),tptp0)*.
% 1.06/1.29 158[0:MRR:130.0,130.1,130.3,1.0,8.0,11.0] || -> min_precedes(skf40(skc3),skf38(skc3),tptp0)*.
% 1.06/1.29 159[0:MRR:131.0,131.1,131.3,1.0,8.0,11.0] || -> min_precedes(skf38(skc3),skf36(skc3),tptp0)*.
% 1.06/1.29 160[0:MRR:129.0,129.1,129.4,1.0,8.0,11.0] || -> occurrence_of(skf36(u),tptp2)* occurrence_of(skf36(u),tptp1).
% 1.06/1.29 161[0:MRR:128.0,128.2,128.5,1.0,8.0,11.0] || min_precedes(skf40(skc3),u,tptp0)* -> equal(u,skf36(skc3)) equal(u,skf38(skc3)).
% 1.06/1.29 221[0:Res:156.0,27.0] || -> activity(tptp4)*.
% 1.06/1.29 222[0:Res:155.0,27.0] || -> activity(tptp3)*.
% 1.06/1.29 229[0:Res:156.0,28.0] || -> activity_occurrence(skf38(u))*.
% 1.06/1.29 230[0:Res:155.0,28.0] || -> activity_occurrence(skf40(u))*.
% 1.06/1.29 247[0:Res:160.0,21.0] || -> occurrence_of(skf36(u),tptp1)* SkP0(skf36(u)).
% 1.06/1.29 248[0:Res:160.0,28.0] || -> occurrence_of(skf36(u),tptp1)* activity_occurrence(skf36(u)).
% 1.06/1.29 250[0:MRR:247.0,20.0] || -> SkP0(skf36(u))*.
% 1.06/1.29 253[0:MRR:248.0,28.0] || -> activity_occurrence(skf36(u))*.
% 1.06/1.29 254[0:Res:159.0,38.0] || -> precedes(skf38(skc3),skf36(skc3))*.
% 1.06/1.29 256[0:Res:254.0,23.0] || -> legal(skf36(skc3))*.
% 1.06/1.29 261[0:Res:36.1,46.1] activity_occurrence(u) arboreal(u) || -> atomic(skf27(u))*.
% 1.06/1.29 268[0:Res:156.0,47.1] atomic(tptp4) || -> arboreal(skf38(u))*.
% 1.06/1.29 269[0:Res:155.0,47.1] atomic(tptp3) || -> arboreal(skf40(u))*.
% 1.06/1.29 271[0:Res:160.0,47.1] atomic(tptp2) || -> occurrence_of(skf36(u),tptp1)* arboreal(skf36(u)).
% 1.06/1.29 273[0:SSi:268.0,3.0,221.0] || -> arboreal(skf38(u))*.
% 1.06/1.29 274[0:SSi:269.0,6.0,222.0] || -> arboreal(skf40(u))*.
% 1.06/1.29 276[0:SSi:271.0,5.0] || -> occurrence_of(skf36(u),tptp1)* arboreal(skf36(u)).
% 1.06/1.29 282[0:Res:276.0,47.1] atomic(tptp1) || -> arboreal(skf36(u))* arboreal(skf36(u))*.
% 1.06/1.29 283[0:Obv:282.1] atomic(tptp1) || -> arboreal(skf36(u))*.
% 1.06/1.29 284[0:SSi:283.0,4.0] || -> arboreal(skf36(u))*.
% 1.06/1.29 337[0:Res:157.0,40.0] || -> min_precedes(skc3,skf40(skc3),tptp0)*.
% 1.06/1.29 340[0:Res:337.0,38.0] || -> precedes(skc3,skf40(skc3))*.
% 1.06/1.29 343[0:Res:340.0,23.0] || -> legal(skf40(skc3))*.
% 1.06/1.29 351[0:Res:159.0,55.0] || -> atocc(skf36(skc3),skf31(tptp0,skf36(skc3)))*.
% 1.06/1.29 354[0:Res:351.0,54.1] legal(skf36(skc3)) || -> root(skf36(skc3),skf31(tptp0,skf36(skc3)))*.
% 1.06/1.29 357[0:SSi:354.0,256.0,250.0,1.0,135.0,253.0,1.0,135.0,284.0,1.0,135.0] || -> root(skf36(skc3),skf31(tptp0,skf36(skc3)))*.
% 1.06/1.29 369[0:Res:357.0,52.0] || -> atocc(skf36(skc3),skf33(skf36(skc3),u))*.
% 1.06/1.29 457[0:Res:156.0,60.0] || occurrence_of(skf38(u),v)* -> equal(v,tptp4).
% 1.06/1.29 458[0:Res:155.0,60.0] || occurrence_of(skf40(u),v)* -> equal(v,tptp3).
% 1.06/1.29 459[0:Res:36.1,60.0] activity_occurrence(u) || occurrence_of(u,v)* -> equal(v,skf27(u)).
% 1.06/1.29 461[0:Res:160.0,60.0] || occurrence_of(skf36(u),v)*+ -> occurrence_of(skf36(u),tptp1)* equal(v,tptp2).
% 1.06/1.29 466[0:MRR:459.0,28.1] || occurrence_of(u,v)* -> equal(v,skf27(u)).
% 1.06/1.29 468[0:Res:36.1,457.0] activity_occurrence(skf38(u)) || -> equal(skf27(skf38(u)),tptp4)**.
% 1.06/1.29 472[0:SSi:468.0,229.0,273.0] || -> equal(skf27(skf38(u)),tptp4)**.
% 1.06/1.29 478[0:Res:36.1,458.0] activity_occurrence(skf40(u)) || -> equal(skf27(skf40(u)),tptp3)**.
% 1.06/1.29 482[0:SSi:478.0,230.0,274.0] || -> equal(skf27(skf40(u)),tptp3)**.
% 1.06/1.29 502[0:Res:50.1,466.0] || atocc(u,v) -> equal(skf26(u,v),skf27(u))**.
% 1.06/1.29 503[0:Res:160.0,466.0] || -> occurrence_of(skf36(u),tptp1)* equal(skf27(skf36(u)),tptp2).
% 1.06/1.29 510[0:Rew:502.1,50.1] || atocc(u,v)*+ -> occurrence_of(u,skf27(u))*.
% 1.06/1.29 540[0:Res:369.0,510.0] || -> occurrence_of(skf36(skc3),skf27(skf36(skc3)))*.
% 1.06/1.29 566[0:Res:540.0,46.1] arboreal(skf36(skc3)) || -> atomic(skf27(skf36(skc3)))*.
% 1.06/1.29 570[0:SSi:566.0,256.0,250.0,1.0,135.0,253.0,1.0,135.0,284.0,1.0,135.0] || -> atomic(skf27(skf36(skc3)))*.
% 1.06/1.29 595[0:Res:337.0,65.0] || -> subactivity_occurrence(skf40(skc3),skf29(skf40(skc3),u,v))*.
% 1.06/1.29 611[0:Res:503.0,466.0] || -> equal(skf27(skf36(u)),tptp2)** equal(skf27(skf36(u)),tptp1).
% 1.06/1.29 616[0:Res:503.0,27.0] || -> equal(skf27(skf36(u)),tptp2)** activity(tptp1).
% 1.06/1.31 618[1:Spt:616.0] || -> equal(skf27(skf36(u)),tptp2)**.
% 1.06/1.31 638[0:Res:158.0,73.2] || leaf_occ(skf40(skc3),u)* occurrence_of(u,tptp0) -> .
% 1.06/1.31 696[0:Res:36.1,76.1] activity_occurrence(u) atomic(skf27(u)) || subactivity(v,skf27(u))* -> atocc(u,v).
% 1.06/1.31 844[0:SpR:502.1,12.0] || atocc(u,v)* -> atomic(skf27(u)).
% 1.06/1.31 941[0:Res:595.0,86.1] arboreal(skf40(skc3)) || occurrence_of(skf29(skf40(skc3),u,v),tptp0) -> leaf_occ(skf40(skc3),skf29(skf40(skc3),u,v))* next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0).
% 1.06/1.31 943[0:SSi:941.0,343.0,230.0,1.0,135.0,274.0,1.0,135.0] || occurrence_of(skf29(skf40(skc3),u,v),tptp0) -> leaf_occ(skf40(skc3),skf29(skf40(skc3),u,v))* next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0).
% 1.06/1.31 944[0:MRR:943.1,638.0] || occurrence_of(skf29(skf40(skc3),u,v),tptp0)*+ -> next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 1.06/1.31 1634[0:SoR:696.1,261.2] activity_occurrence(u) arboreal(u) activity_occurrence(u) || subactivity(v,skf27(u))* -> atocc(u,v).
% 1.06/1.31 1637[0:Obv:1634.0] arboreal(u) activity_occurrence(u) || subactivity(v,skf27(u))* -> atocc(u,v).
% 1.06/1.31 2363[0:Res:29.1,1637.2] activity(skf27(u)) arboreal(u) activity_occurrence(u) || -> atocc(u,skf27(u))*.
% 1.06/1.31 2371[0:SSi:2363.0,9.2,261.0] arboreal(u) activity_occurrence(u) || -> atocc(u,skf27(u))*.
% 1.06/1.31 2382[0:Res:2371.2,54.1] arboreal(u) activity_occurrence(u) legal(u) || -> root(u,skf27(u))*.
% 1.06/1.31 2392[0:SSi:2382.0,19.1] activity_occurrence(u) legal(u) || -> root(u,skf27(u))*.
% 1.06/1.31 2496[0:Res:2392.2,52.0] activity_occurrence(u) legal(u) || -> atocc(u,skf33(u,v))*.
% 1.06/1.31 2502[0:Res:2496.2,844.0] activity_occurrence(u) legal(u) || -> atomic(skf27(u))*.
% 1.06/1.31 2830[0:Res:63.1,944.0] || min_precedes(u,skf40(skc3),tptp0)*+ -> next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 1.06/1.31 2831[0:Res:337.0,2830.0] || -> next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 1.06/1.31 2861[0:Res:2831.0,40.0] || -> min_precedes(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 1.06/1.31 2886[0:Res:2861.0,161.0] || -> equal(skf40(skf40(skc3)),skf36(skc3)) equal(skf40(skf40(skc3)),skf38(skc3))**.
% 1.06/1.31 3024[2:Spt:2886.0] || -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 1.06/1.31 3102[2:SpR:3024.0,482.0] || -> equal(skf27(skf36(skc3)),tptp3)**.
% 1.06/1.31 3114[2:Rew:618.0,3102.0] || -> equal(tptp2,tptp3)**.
% 1.06/1.31 3115[2:MRR:3114.0,17.0] || -> .
% 1.06/1.31 3122[2:Spt:3115.0,2886.0,3024.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 1.06/1.31 3123[2:Spt:3115.0,2886.1] || -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 1.06/1.31 3183[2:SpR:3123.0,482.0] || -> equal(skf27(skf38(skc3)),tptp3)**.
% 1.06/1.31 3195[2:Rew:472.0,3183.0] || -> equal(tptp4,tptp3)**.
% 1.06/1.31 3196[2:MRR:3195.0,13.0] || -> .
% 1.06/1.31 3203[1:Spt:3196.0,616.1] || -> activity(tptp1)*.
% 1.06/1.31 3218[0:SoR:696.1,570.0] activity_occurrence(skf36(skc3)) || subactivity(u,skf27(skf36(skc3)))* -> atocc(skf36(skc3),u).
% 1.06/1.31 3220[0:SSi:3218.0,256.0,250.0,1.0,135.0,253.0,1.0,135.0,284.0,1.0,135.0] || subactivity(u,skf27(skf36(skc3)))* -> atocc(skf36(skc3),u).
% 1.06/1.31 3746[0:Res:29.1,3220.0] activity(skf27(skf36(skc3))) || -> atocc(skf36(skc3),skf27(skf36(skc3)))*.
% 1.06/1.31 3753[0:SSi:3746.0,9.0,256.0,250.0,1.0,135.0,253.0,1.0,135.0,284.0,1.0,135.2,2502.0,256.0,250.0,1.0,135.0,253.0,1.0,135.0,284.0,1.0,135.0] || -> atocc(skf36(skc3),skf27(skf36(skc3)))*.
% 1.06/1.31 3757[0:Res:3753.0,54.1] legal(skf36(skc3)) || -> root(skf36(skc3),skf27(skf36(skc3)))*.
% 1.06/1.31 3760[0:SSi:3757.0,256.0,250.0,1.0,135.0,253.0,1.0,135.0,284.0,1.0,135.0] || -> root(skf36(skc3),skf27(skf36(skc3)))*.
% 1.06/1.31 3761[0:SpR:611.0,3760.0] || -> equal(skf27(skf36(skc3)),tptp1) root(skf36(skc3),tptp2)*.
% 1.06/1.31 3769[2:Spt:3761.0] || -> equal(skf27(skf36(skc3)),tptp1)**.
% 1.06/1.31 4109[3:Spt:2886.0] || -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 1.06/1.31 4190[3:SpR:4109.0,482.0] || -> equal(skf27(skf36(skc3)),tptp3)**.
% 1.06/1.31 4208[3:Rew:3769.0,4190.0] || -> equal(tptp1,tptp3)**.
% 1.06/1.31 4209[3:MRR:4208.0,16.0] || -> .
% 1.06/1.31 4217[3:Spt:4209.0,2886.0,4109.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 1.06/1.31 4218[3:Spt:4209.0,2886.1] || -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 1.06/1.31 4278[3:SpR:4218.0,482.0] || -> equal(skf27(skf38(skc3)),tptp3)**.
% 1.06/1.31 4297[3:Rew:472.0,4278.0] || -> equal(tptp4,tptp3)**.
% 1.06/1.31 4298[3:MRR:4297.0,13.0] || -> .
% 1.06/1.31 4310[2:Spt:4298.0,3761.0,3769.0] || equal(skf27(skf36(skc3)),tptp1)** -> .
% 1.06/1.31 4311[2:Spt:4298.0,3761.1] || -> root(skf36(skc3),tptp2)*.
% 1.06/1.31 4565[3:Spt:2886.0] || -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 1.06/1.31 4642[3:SpR:4565.0,155.0] || -> occurrence_of(skf36(skc3),tptp3)*.
% 1.06/1.31 4645[3:SpR:4565.0,482.0] || -> equal(skf27(skf36(skc3)),tptp3)**.
% 1.06/1.31 4720[3:Res:4642.0,461.0] || -> occurrence_of(skf36(skc3),tptp1)* equal(tptp2,tptp3).
% 1.06/1.31 4721[3:MRR:4720.1,17.0] || -> occurrence_of(skf36(skc3),tptp1)*.
% 1.06/1.31 4732[3:Res:4721.0,466.0] || -> equal(skf27(skf36(skc3)),tptp1)**.
% 1.06/1.31 4742[3:Rew:4645.0,4732.0] || -> equal(tptp1,tptp3)**.
% 1.06/1.31 4743[3:MRR:4742.0,16.0] || -> .
% 1.06/1.31 4745[3:Spt:4743.0,2886.0,4565.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 1.06/1.31 4746[3:Spt:4743.0,2886.1] || -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 1.06/1.31 4806[3:SpR:4746.0,482.0] || -> equal(skf27(skf38(skc3)),tptp3)**.
% 1.06/1.31 4826[3:Rew:472.0,4806.0] || -> equal(tptp4,tptp3)**.
% 1.06/1.31 4827[3:MRR:4826.0,13.0] || -> .
% 1.06/1.31 % SZS output end Refutation
% 1.06/1.31 Formulae used in the proof : goals sos_35 sos_36 sos_37 sos_38 sos_18 sos_29 sos_15 sos_39 sos_42 sos_43 sos_17 sos_08 sos_19 sos_31 sos_06 sos_04 sos_13 sos_27 sos_16 sos_26 sos_22 sos_24 sos_21 sos_32
% 1.06/1.31
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