TSTP Solution File: PRO017+4 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PRO017+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 2.21s 2.37s
% Output : Refutation 2.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PRO017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n005.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 : Mon Jun 13 02:49:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.21/2.37
% 2.21/2.37 SPASS V 3.9
% 2.21/2.37 SPASS beiseite: Proof found.
% 2.21/2.37 % SZS status Theorem
% 2.21/2.37 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/2.37 SPASS derived 4904 clauses, backtracked 1480 clauses, performed 19 splits and kept 3361 clauses.
% 2.21/2.37 SPASS allocated 102843 KBytes.
% 2.21/2.37 SPASS spent 0:00:02.01 on the problem.
% 2.21/2.37 0:00:00.04 for the input.
% 2.21/2.37 0:00:00.09 for the FLOTTER CNF translation.
% 2.21/2.37 0:00:00.09 for inferences.
% 2.21/2.37 0:00:00.02 for the backtracking.
% 2.21/2.37 0:00:01.71 for the reduction.
% 2.21/2.37
% 2.21/2.37
% 2.21/2.37 Here is a proof with depth 12, length 159 :
% 2.21/2.37 % SZS output start Refutation
% 2.21/2.37 1[0:Inp] || -> arboreal(skc3)*.
% 2.21/2.37 3[0:Inp] || -> atomic(tptp4)*.
% 2.21/2.37 4[0:Inp] || -> atomic(tptp2)*.
% 2.21/2.37 5[0:Inp] || -> atomic(tptp1)*.
% 2.21/2.37 6[0:Inp] || -> atomic(tptp3)*.
% 2.21/2.37 7[0:Inp] || -> subactivity_occurrence(skc3,skc2)*.
% 2.21/2.37 8[0:Inp] || -> occurrence_of(skc2,tptp0)*.
% 2.21/2.37 11[0:Inp] || leaf_occ(skc3,skc2)* -> .
% 2.21/2.37 13[0:Inp] || equal(tptp4,tptp3)** -> .
% 2.21/2.37 16[0:Inp] || equal(tptp2,tptp3)** -> .
% 2.21/2.37 17[0:Inp] || equal(tptp1,tptp3)** -> .
% 2.21/2.37 20[0:Inp] || occurrence_of(u,v)* -> activity(v).
% 2.21/2.37 21[0:Inp] || occurrence_of(u,v)* -> activity_occurrence(u).
% 2.21/2.37 22[0:Inp] || subactivity_occurrence(u,v)* -> activity_occurrence(u).
% 2.21/2.37 25[0:Inp] || precedes(u,v)* -> legal(v).
% 2.21/2.37 26[0:Inp] activity_occurrence(u) || -> occurrence_of(u,skf19(u))*.
% 2.21/2.37 33[0:Inp] || min_precedes(u,v,w)* -> precedes(u,v).
% 2.21/2.37 38[0:Inp] || leaf(u,v) min_precedes(u,w,v)* -> .
% 2.21/2.37 40[0:Inp] atomic(u) || occurrence_of(v,u)* -> arboreal(v).
% 2.21/2.37 46[0:Inp] || next_subocc(u,v,w)* -> min_precedes(u,v,w).
% 2.21/2.37 51[0:Inp] || min_precedes(u,v,w) -> occurrence_of(skf17(v,u,w),w)*.
% 2.21/2.37 53[0:Inp] || min_precedes(u,v,w)*+ -> subactivity_occurrence(v,skf17(v,x,y))*.
% 2.21/2.37 56[0:Inp] || occurrence_of(u,v)*+ occurrence_of(u,w)* -> equal(w,v)*.
% 2.21/2.37 59[0:Inp] || leaf_occ(u,v)* occurrence_of(v,w)* min_precedes(u,x,w)*+ -> .
% 2.21/2.37 64[0:Inp] || min_precedes(u,v,w)*+ -> leaf(v,w) min_precedes(v,skf22(w,v),w)*.
% 2.21/2.37 74[0:Inp] arboreal(u) || subactivity_occurrence(u,v) occurrence_of(v,tptp0) -> occurrence_of(skf32(w),tptp3)* leaf_occ(u,v)*.
% 2.21/2.37 75[0:Inp] arboreal(u) || subactivity_occurrence(u,v) occurrence_of(v,tptp0) -> occurrence_of(skf30(w),tptp4)* leaf_occ(u,v)*.
% 2.21/2.37 76[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* next_subocc(u,skf32(u),tptp0)*.
% 2.21/2.37 77[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* min_precedes(skf30(u),skf28(u),tptp0)*.
% 2.21/2.37 78[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* min_precedes(skf32(u),skf30(u),tptp0)*.
% 2.21/2.37 79[0:Inp] arboreal(u) || subactivity_occurrence(u,v) occurrence_of(v,tptp0) -> occurrence_of(skf28(w),tptp2) occurrence_of(skf28(w),tptp1)* leaf_occ(u,v)*.
% 2.21/2.37 81[0:Inp] || leaf(u,tptp0) occurrence_of(v,tptp3) occurrence_of(u,tptp1) min_precedes(v,u,tptp0)*+ next_subocc(skc3,v,tptp0)* -> .
% 2.21/2.37 82[0:Inp] || leaf(u,tptp0) occurrence_of(v,tptp3) occurrence_of(u,tptp2) min_precedes(v,u,tptp0)*+ next_subocc(skc3,v,tptp0)* -> .
% 2.21/2.37 83[0:Inp] arboreal(u) || subactivity_occurrence(u,v) occurrence_of(v,tptp0) min_precedes(skf32(u),w,tptp0)*+ -> leaf_occ(u,v)* equal(w,skf28(u)) equal(w,skf30(u)).
% 2.21/2.37 123[0:Res:7.0,83.1] arboreal(skc3) || min_precedes(skf32(skc3),u,tptp0)* occurrence_of(skc2,tptp0) -> equal(u,skf30(skc3)) equal(u,skf28(skc3)) leaf_occ(skc3,skc2).
% 2.21/2.37 124[0:Res:7.0,79.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf28(u),tptp2) occurrence_of(skf28(u),tptp1)* leaf_occ(skc3,skc2).
% 2.21/2.37 125[0:Res:7.0,78.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf32(skc3),skf30(skc3),tptp0)* leaf_occ(skc3,skc2).
% 2.21/2.37 126[0:Res:7.0,77.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf30(skc3),skf28(skc3),tptp0)* leaf_occ(skc3,skc2).
% 2.21/2.37 127[0:Res:7.0,76.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> next_subocc(skc3,skf32(skc3),tptp0)* leaf_occ(skc3,skc2).
% 2.21/2.37 128[0:Res:7.0,74.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf32(u),tptp3)* leaf_occ(skc3,skc2).
% 2.21/2.37 129[0:Res:7.0,75.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf30(u),tptp4)* leaf_occ(skc3,skc2).
% 2.21/2.37 130[0:Res:7.0,22.0] || -> activity_occurrence(skc3)*.
% 2.21/2.37 153[0:MRR:128.0,128.1,128.3,1.0,8.0,11.0] || -> occurrence_of(skf32(u),tptp3)*.
% 2.21/2.37 154[0:MRR:129.0,129.1,129.3,1.0,8.0,11.0] || -> occurrence_of(skf30(u),tptp4)*.
% 2.21/2.37 155[0:MRR:127.0,127.1,127.3,1.0,8.0,11.0] || -> next_subocc(skc3,skf32(skc3),tptp0)*.
% 2.21/2.37 156[0:MRR:125.0,125.1,125.3,1.0,8.0,11.0] || -> min_precedes(skf32(skc3),skf30(skc3),tptp0)*.
% 2.21/2.37 157[0:MRR:126.0,126.1,126.3,1.0,8.0,11.0] || -> min_precedes(skf30(skc3),skf28(skc3),tptp0)*.
% 2.21/2.37 158[0:MRR:124.0,124.1,124.4,1.0,8.0,11.0] || -> occurrence_of(skf28(u),tptp1)* occurrence_of(skf28(u),tptp2).
% 2.21/2.37 160[0:MRR:123.0,123.2,123.5,1.0,8.0,11.0] || min_precedes(skf32(skc3),u,tptp0)* -> equal(u,skf28(skc3)) equal(u,skf30(skc3)).
% 2.21/2.37 191[0:Res:154.0,20.0] || -> activity(tptp4)*.
% 2.21/2.37 192[0:Res:153.0,20.0] || -> activity(tptp3)*.
% 2.21/2.37 199[0:Res:154.0,21.0] || -> activity_occurrence(skf30(u))*.
% 2.21/2.37 200[0:Res:153.0,21.0] || -> activity_occurrence(skf32(u))*.
% 2.21/2.37 214[0:Res:158.0,21.0] || -> occurrence_of(skf28(u),tptp2)* activity_occurrence(skf28(u)).
% 2.21/2.37 216[0:MRR:214.0,21.0] || -> activity_occurrence(skf28(u))*.
% 2.21/2.37 232[0:Res:154.0,40.1] atomic(tptp4) || -> arboreal(skf30(u))*.
% 2.21/2.37 233[0:Res:153.0,40.1] atomic(tptp3) || -> arboreal(skf32(u))*.
% 2.21/2.37 235[0:Res:158.0,40.1] atomic(tptp1) || -> occurrence_of(skf28(u),tptp2)* arboreal(skf28(u)).
% 2.21/2.37 237[0:SSi:232.0,3.0,191.0] || -> arboreal(skf30(u))*.
% 2.21/2.37 238[0:SSi:233.0,6.0,192.0] || -> arboreal(skf32(u))*.
% 2.21/2.37 240[0:SSi:235.0,5.0] || -> occurrence_of(skf28(u),tptp2)* arboreal(skf28(u)).
% 2.21/2.37 245[0:Res:240.0,40.1] atomic(tptp2) || -> arboreal(skf28(u))* arboreal(skf28(u))*.
% 2.21/2.37 246[0:Obv:245.1] atomic(tptp2) || -> arboreal(skf28(u))*.
% 2.21/2.37 247[0:SSi:246.0,4.0] || -> arboreal(skf28(u))*.
% 2.21/2.37 297[0:Res:156.0,38.1] || leaf(skf32(skc3),tptp0)* -> .
% 2.21/2.37 303[0:Res:155.0,46.0] || -> min_precedes(skc3,skf32(skc3),tptp0)*.
% 2.21/2.37 306[0:Res:303.0,33.0] || -> precedes(skc3,skf32(skc3))*.
% 2.21/2.37 309[0:Res:306.0,25.0] || -> legal(skf32(skc3))*.
% 2.21/2.37 352[0:Res:154.0,56.0] || occurrence_of(skf30(u),v)* -> equal(v,tptp4).
% 2.21/2.37 353[0:Res:153.0,56.0] || occurrence_of(skf32(u),v)* -> equal(v,tptp3).
% 2.21/2.37 354[0:Res:26.1,56.0] activity_occurrence(u) || occurrence_of(u,v)* -> equal(v,skf19(u)).
% 2.21/2.37 356[0:Res:158.0,56.0] || occurrence_of(skf28(u),v)*+ -> occurrence_of(skf28(u),tptp2)* equal(v,tptp1).
% 2.21/2.37 360[0:MRR:354.0,21.1] || occurrence_of(u,v)* -> equal(v,skf19(u)).
% 2.21/2.37 362[0:Res:26.1,352.0] activity_occurrence(skf30(u)) || -> equal(skf19(skf30(u)),tptp4)**.
% 2.21/2.37 366[0:SSi:362.0,199.0,237.0] || -> equal(skf19(skf30(u)),tptp4)**.
% 2.21/2.37 372[0:Res:26.1,353.0] activity_occurrence(skf32(u)) || -> equal(skf19(skf32(u)),tptp3)**.
% 2.21/2.37 376[0:SSi:372.0,200.0,238.0] || -> equal(skf19(skf32(u)),tptp3)**.
% 2.21/2.37 434[0:Res:303.0,53.0] || -> subactivity_occurrence(skf32(skc3),skf17(skf32(skc3),u,v))*.
% 2.21/2.37 463[0:Res:158.0,360.0] || -> occurrence_of(skf28(u),tptp2)* equal(skf19(skf28(u)),tptp1).
% 2.21/2.37 523[0:Res:156.0,59.2] || leaf_occ(skf32(skc3),u)* occurrence_of(u,tptp0) -> .
% 2.21/2.37 551[0:Res:463.0,20.0] || -> equal(skf19(skf28(u)),tptp1)** activity(tptp2).
% 2.21/2.37 553[1:Spt:551.0] || -> equal(skf19(skf28(u)),tptp1)**.
% 2.21/2.37 555[1:SpR:553.0,26.1] activity_occurrence(skf28(u)) || -> occurrence_of(skf28(u),tptp1)*.
% 2.21/2.37 559[1:SSi:555.0,216.0,247.0] || -> occurrence_of(skf28(u),tptp1)*.
% 2.21/2.37 610[0:Res:157.0,64.0] || -> leaf(skf28(skc3),tptp0) min_precedes(skf28(skc3),skf22(tptp0,skf28(skc3)),tptp0)*.
% 2.21/2.37 614[0:Res:303.0,64.0] || -> leaf(skf32(skc3),tptp0) min_precedes(skf32(skc3),skf22(tptp0,skf32(skc3)),tptp0)*.
% 2.21/2.37 620[0:MRR:614.0,297.0] || -> min_precedes(skf32(skc3),skf22(tptp0,skf32(skc3)),tptp0)*.
% 2.21/2.37 853[0:Res:434.0,76.1] arboreal(skf32(skc3)) || occurrence_of(skf17(skf32(skc3),u,v),tptp0) -> leaf_occ(skf32(skc3),skf17(skf32(skc3),u,v))* next_subocc(skf32(skc3),skf32(skf32(skc3)),tptp0).
% 2.21/2.37 855[0:SSi:853.0,309.0,200.0,1.0,130.0,238.0,1.0,130.0] || occurrence_of(skf17(skf32(skc3),u,v),tptp0) -> leaf_occ(skf32(skc3),skf17(skf32(skc3),u,v))* next_subocc(skf32(skc3),skf32(skf32(skc3)),tptp0).
% 2.21/2.37 856[0:MRR:855.1,523.0] || occurrence_of(skf17(skf32(skc3),u,v),tptp0)*+ -> next_subocc(skf32(skc3),skf32(skf32(skc3)),tptp0)*.
% 2.21/2.37 947[0:Res:610.1,33.0] || -> leaf(skf28(skc3),tptp0) precedes(skf28(skc3),skf22(tptp0,skf28(skc3)))*.
% 2.21/2.37 978[2:Spt:947.0] || -> leaf(skf28(skc3),tptp0)*.
% 2.21/2.37 1004[0:Res:620.0,81.3] || leaf(skf22(tptp0,skf32(skc3)),tptp0)* occurrence_of(skf32(skc3),tptp3) occurrence_of(skf22(tptp0,skf32(skc3)),tptp1) next_subocc(skc3,skf32(skc3),tptp0) -> .
% 2.21/2.39 1010[0:MRR:1004.1,1004.3,153.0,155.0] || leaf(skf22(tptp0,skf32(skc3)),tptp0)* occurrence_of(skf22(tptp0,skf32(skc3)),tptp1) -> .
% 2.21/2.39 1499[0:Res:620.0,160.0] || -> equal(skf22(tptp0,skf32(skc3)),skf28(skc3)) equal(skf22(tptp0,skf32(skc3)),skf30(skc3))**.
% 2.21/2.39 1994[3:Spt:1499.0] || -> equal(skf22(tptp0,skf32(skc3)),skf28(skc3))**.
% 2.21/2.39 2013[3:Rew:1994.0,1010.0] || leaf(skf28(skc3),tptp0) occurrence_of(skf22(tptp0,skf32(skc3)),tptp1)* -> .
% 2.21/2.39 2043[3:Rew:1994.0,2013.1] || leaf(skf28(skc3),tptp0)* occurrence_of(skf28(skc3),tptp1) -> .
% 2.21/2.39 2044[3:MRR:2043.0,2043.1,978.0,559.0] || -> .
% 2.21/2.39 2067[3:Spt:2044.0,1499.0,1994.0] || equal(skf22(tptp0,skf32(skc3)),skf28(skc3))** -> .
% 2.21/2.39 2068[3:Spt:2044.0,1499.1] || -> equal(skf22(tptp0,skf32(skc3)),skf30(skc3))**.
% 2.21/2.39 3381[0:Res:51.1,856.0] || min_precedes(u,skf32(skc3),tptp0)*+ -> next_subocc(skf32(skc3),skf32(skf32(skc3)),tptp0)*.
% 2.21/2.40 3383[0:Res:303.0,3381.0] || -> next_subocc(skf32(skc3),skf32(skf32(skc3)),tptp0)*.
% 2.21/2.40 3392[0:Res:3383.0,46.0] || -> min_precedes(skf32(skc3),skf32(skf32(skc3)),tptp0)*.
% 2.21/2.40 3397[0:Res:3392.0,81.3] || leaf(skf32(skf32(skc3)),tptp0) occurrence_of(skf32(skc3),tptp3) occurrence_of(skf32(skf32(skc3)),tptp1) next_subocc(skc3,skf32(skc3),tptp0)* -> .
% 2.21/2.40 3398[0:Res:3392.0,82.3] || leaf(skf32(skf32(skc3)),tptp0) occurrence_of(skf32(skc3),tptp3) occurrence_of(skf32(skf32(skc3)),tptp2) next_subocc(skc3,skf32(skc3),tptp0)* -> .
% 2.21/2.40 3420[0:Res:3392.0,160.0] || -> equal(skf32(skf32(skc3)),skf28(skc3)) equal(skf32(skf32(skc3)),skf30(skc3))**.
% 2.21/2.40 3423[0:MRR:3398.1,3398.3,153.0,155.0] || leaf(skf32(skf32(skc3)),tptp0)* occurrence_of(skf32(skf32(skc3)),tptp2) -> .
% 2.21/2.40 3424[0:MRR:3397.1,3397.3,153.0,155.0] || leaf(skf32(skf32(skc3)),tptp0)* occurrence_of(skf32(skf32(skc3)),tptp1) -> .
% 2.21/2.40 3607[4:Spt:3420.0] || -> equal(skf32(skf32(skc3)),skf28(skc3))**.
% 2.21/2.40 3674[4:Rew:3607.0,3424.0] || leaf(skf28(skc3),tptp0) occurrence_of(skf32(skf32(skc3)),tptp1)* -> .
% 2.21/2.40 3694[4:Rew:3607.0,3674.1] || leaf(skf28(skc3),tptp0)* occurrence_of(skf28(skc3),tptp1) -> .
% 2.21/2.40 3695[4:MRR:3694.0,3694.1,978.0,559.0] || -> .
% 2.21/2.40 3715[4:Spt:3695.0,3420.0,3607.0] || equal(skf32(skf32(skc3)),skf28(skc3))** -> .
% 2.21/2.40 3716[4:Spt:3695.0,3420.1] || -> equal(skf32(skf32(skc3)),skf30(skc3))**.
% 2.21/2.40 3804[4:SpR:3716.0,376.0] || -> equal(skf19(skf30(skc3)),tptp3)**.
% 2.21/2.40 3816[4:Rew:366.0,3804.0] || -> equal(tptp4,tptp3)**.
% 2.21/2.40 3817[4:MRR:3816.0,13.0] || -> .
% 2.21/2.40 3824[2:Spt:3817.0,947.0,978.0] || leaf(skf28(skc3),tptp0)* -> .
% 2.21/2.40 3825[2:Spt:3817.0,947.1] || -> precedes(skf28(skc3),skf22(tptp0,skf28(skc3)))*.
% 2.21/2.40 4399[3:Spt:3420.0] || -> equal(skf32(skf32(skc3)),skf28(skc3))**.
% 2.21/2.40 4515[3:SpR:4399.0,376.0] || -> equal(skf19(skf28(skc3)),tptp3)**.
% 2.21/2.40 4532[3:Rew:553.0,4515.0] || -> equal(tptp1,tptp3)**.
% 2.21/2.40 4533[3:MRR:4532.0,17.0] || -> .
% 2.21/2.40 4543[3:Spt:4533.0,3420.0,4399.0] || equal(skf32(skf32(skc3)),skf28(skc3))** -> .
% 2.21/2.40 4544[3:Spt:4533.0,3420.1] || -> equal(skf32(skf32(skc3)),skf30(skc3))**.
% 2.21/2.40 4633[3:SpR:4544.0,376.0] || -> equal(skf19(skf30(skc3)),tptp3)**.
% 2.21/2.40 4650[3:Rew:366.0,4633.0] || -> equal(tptp4,tptp3)**.
% 2.21/2.40 4651[3:MRR:4650.0,13.0] || -> .
% 2.21/2.40 4661[1:Spt:4651.0,551.1] || -> activity(tptp2)*.
% 2.21/2.40 4723[2:Spt:610.0] || -> leaf(skf28(skc3),tptp0)*.
% 2.21/2.40 5056[3:Spt:3420.0] || -> equal(skf32(skf32(skc3)),skf28(skc3))**.
% 2.21/2.40 5077[3:Rew:5056.0,3423.0] || leaf(skf28(skc3),tptp0) occurrence_of(skf32(skf32(skc3)),tptp2)* -> .
% 2.21/2.40 5148[3:Rew:5056.0,5077.1] || leaf(skf28(skc3),tptp0)* occurrence_of(skf28(skc3),tptp2) -> .
% 2.21/2.40 5149[3:MRR:5148.0,4723.0] || occurrence_of(skf28(skc3),tptp2)* -> .
% 2.21/2.40 5169[3:SpR:5056.0,153.0] || -> occurrence_of(skf28(skc3),tptp3)*.
% 2.21/2.40 5209[3:Res:5169.0,356.0] || -> occurrence_of(skf28(skc3),tptp2)* equal(tptp1,tptp3).
% 2.21/2.40 5210[3:MRR:5209.1,17.0] || -> occurrence_of(skf28(skc3),tptp2)*.
% 2.21/2.40 5211[3:MRR:5210.0,5149.0] || -> .
% 2.21/2.40 5212[3:Spt:5211.0,3420.0,5056.0] || equal(skf32(skf32(skc3)),skf28(skc3))** -> .
% 2.21/2.40 5213[3:Spt:5211.0,3420.1] || -> equal(skf32(skf32(skc3)),skf30(skc3))**.
% 2.21/2.40 5302[3:SpR:5213.0,376.0] || -> equal(skf19(skf30(skc3)),tptp3)**.
% 2.21/2.40 5323[3:Rew:366.0,5302.0] || -> equal(tptp4,tptp3)**.
% 2.21/2.40 5324[3:MRR:5323.0,13.0] || -> .
% 2.21/2.40 5336[2:Spt:5324.0,610.0,4723.0] || leaf(skf28(skc3),tptp0)* -> .
% 2.21/2.40 5337[2:Spt:5324.0,610.1] || -> min_precedes(skf28(skc3),skf22(tptp0,skf28(skc3)),tptp0)*.
% 2.21/2.40 5821[3:Spt:3420.0] || -> equal(skf32(skf32(skc3)),skf28(skc3))**.
% 2.21/2.40 5936[3:SpR:5821.0,153.0] || -> occurrence_of(skf28(skc3),tptp3)*.
% 2.21/2.40 5939[3:SpR:5821.0,376.0] || -> equal(skf19(skf28(skc3)),tptp3)**.
% 2.21/2.40 5983[3:Res:5936.0,356.0] || -> occurrence_of(skf28(skc3),tptp2)* equal(tptp1,tptp3).
% 2.21/2.40 5984[3:MRR:5983.1,17.0] || -> occurrence_of(skf28(skc3),tptp2)*.
% 2.21/2.40 6000[3:Res:5984.0,360.0] || -> equal(skf19(skf28(skc3)),tptp2)**.
% 2.21/2.40 6011[3:Rew:5939.0,6000.0] || -> equal(tptp2,tptp3)**.
% 2.21/2.40 6012[3:MRR:6011.0,16.0] || -> .
% 2.21/2.40 6014[3:Spt:6012.0,3420.0,5821.0] || equal(skf32(skf32(skc3)),skf28(skc3))** -> .
% 2.21/2.40 6015[3:Spt:6012.0,3420.1] || -> equal(skf32(skf32(skc3)),skf30(skc3))**.
% 2.21/2.40 6105[3:SpR:6015.0,376.0] || -> equal(skf19(skf30(skc3)),tptp3)**.
% 2.21/2.40 6124[3:Rew:366.0,6105.0] || -> equal(tptp4,tptp3)**.
% 2.21/2.40 6125[3:MRR:6124.0,13.0] || -> .
% 2.21/2.40 % SZS output end Refutation
% 2.21/2.40 Formulae used in the proof : goals sos_35 sos_36 sos_37 sos_38 sos_39 sos_42 sos_43 sos_03 sos_11 sos_21 sos_12 sos_24 sos_15 sos_16 sos_26 sos_06 sos_08 sos_09 sos_32
% 2.21/2.40
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