TSTP Solution File: PRO017+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PRO017+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 17:53:53 EDT 2022
% Result : Theorem 1.30s 1.49s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO017+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jun 13 02:30:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.30/1.49
% 1.30/1.49 SPASS V 3.9
% 1.30/1.49 SPASS beiseite: Proof found.
% 1.30/1.49 % SZS status Theorem
% 1.30/1.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.49 SPASS derived 5598 clauses, backtracked 697 clauses, performed 29 splits and kept 2561 clauses.
% 1.30/1.49 SPASS allocated 102560 KBytes.
% 1.30/1.49 SPASS spent 0:00:01.15 on the problem.
% 1.30/1.49 0:00:00.04 for the input.
% 1.30/1.49 0:00:00.11 for the FLOTTER CNF translation.
% 1.30/1.49 0:00:00.08 for inferences.
% 1.30/1.49 0:00:00.02 for the backtracking.
% 1.30/1.49 0:00:00.83 for the reduction.
% 1.30/1.49
% 1.30/1.49
% 1.30/1.49 Here is a proof with depth 8, length 178 :
% 1.30/1.49 % SZS output start Refutation
% 1.30/1.49 1[0:Inp] || -> arboreal(skc3)*.
% 1.30/1.49 4[0:Inp] || -> atomic(tptp2)*.
% 1.30/1.49 5[0:Inp] || -> atomic(tptp1)*.
% 1.30/1.49 7[0:Inp] || -> subactivity_occurrence(skc3,skc2)*.
% 1.30/1.49 8[0:Inp] || -> occurrence_of(skc2,tptp0)*.
% 1.30/1.49 9[0:Inp] || -> activity(skf23(u))*.
% 1.30/1.49 11[0:Inp] || leaf_occ(skc3,skc2)* -> .
% 1.30/1.49 12[0:Inp] || -> atomic(skf22(u,v))*.
% 1.30/1.49 20[0:Inp] || precedes(u,v)* -> legal(v).
% 1.30/1.49 22[0:Inp] || subactivity_occurrence(u,v)* -> activity_occurrence(u).
% 1.30/1.49 24[0:Inp] || occurrence_of(u,v)* -> activity(v).
% 1.30/1.49 25[0:Inp] || occurrence_of(u,v)* -> activity_occurrence(u).
% 1.34/1.49 26[0:Inp] activity(u) || -> subactivity(u,u)*.
% 1.34/1.49 29[0:Inp] || precedes(u,v)* -> earlier(u,v).
% 1.34/1.49 32[0:Inp] activity_occurrence(u) || -> occurrence_of(u,skf23(u))*.
% 1.34/1.49 33[0:Inp] || min_precedes(u,v,w)* -> precedes(u,v).
% 1.34/1.49 34[0:Inp] || earlier(u,v)*+ earlier(v,u)* -> .
% 1.34/1.49 41[0:Inp] arboreal(u) || occurrence_of(u,v)* -> atomic(v).
% 1.34/1.49 42[0:Inp] atomic(u) || occurrence_of(v,u)* -> arboreal(v).
% 1.34/1.49 44[0:Inp] || atocc(u,v) -> subactivity(v,skf22(u,v))*.
% 1.34/1.49 45[0:Inp] || atocc(u,v) -> occurrence_of(u,skf22(u,v))*.
% 1.34/1.49 50[0:Inp] || min_precedes(u,v,w)*+ -> atocc(v,skf27(w,v))*.
% 1.34/1.49 55[0:Inp] || occurrence_of(u,v)*+ occurrence_of(u,w)* -> equal(w,v)*.
% 1.34/1.49 69[0:Inp] || min_precedes(u,v,w)*+ min_precedes(x,u,w)* -> min_precedes(x,v,w)*.
% 1.34/1.49 70[0:Inp] || min_precedes(u,v,w)*+ -> leaf(v,w) min_precedes(v,skf21(w,v),w)*.
% 1.34/1.49 71[0:Inp] atomic(u) || occurrence_of(v,u)*+ subactivity(w,u)* -> atocc(v,w)*.
% 1.34/1.49 79[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) -> occurrence_of(skf36(w),tptp3)* leaf_occ(u,v).
% 1.34/1.49 81[0:Inp] arboreal(u) || subactivity_occurrence(u,v)*+ occurrence_of(v,tptp0) -> leaf_occ(u,v) next_subocc(u,skf36(u),tptp0)*.
% 1.34/1.49 82[0:Inp] arboreal(u) || subactivity_occurrence(u,v)*+ occurrence_of(v,tptp0) -> leaf_occ(u,v) min_precedes(skf34(u),skf32(u),tptp0)*.
% 1.34/1.49 83[0:Inp] arboreal(u) || subactivity_occurrence(u,v)*+ occurrence_of(v,tptp0) -> leaf_occ(u,v) min_precedes(skf36(u),skf34(u),tptp0)*.
% 1.34/1.49 84[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) -> occurrence_of(skf32(w),tptp2) occurrence_of(skf32(w),tptp1)* leaf_occ(u,v).
% 1.34/1.49 85[0:Inp] || leaf(u,tptp0) occurrence_of(v,tptp3) occurrence_of(u,tptp1) min_precedes(v,u,tptp0)*+ next_subocc(skc3,v,tptp0)* -> .
% 1.34/1.49 86[0:Inp] || leaf(u,tptp0) occurrence_of(v,tptp3) occurrence_of(u,tptp2) min_precedes(v,u,tptp0)*+ next_subocc(skc3,v,tptp0)* -> .
% 1.34/1.49 87[0:Inp] arboreal(u) || subactivity_occurrence(u,v)* occurrence_of(v,tptp0) min_precedes(skf36(u),w,tptp0)*+ -> leaf_occ(u,v) equal(w,skf32(u)) equal(w,skf34(u)).
% 1.34/1.49 122[0:Res:7.0,87.1] arboreal(skc3) || min_precedes(skf36(skc3),u,tptp0)* occurrence_of(skc2,tptp0) -> equal(u,skf34(skc3)) equal(u,skf32(skc3)) leaf_occ(skc3,skc2).
% 1.34/1.49 123[0:Res:7.0,84.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf32(u),tptp2) occurrence_of(skf32(u),tptp1)* leaf_occ(skc3,skc2).
% 1.34/1.49 124[0:Res:7.0,83.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf36(skc3),skf34(skc3),tptp0)* leaf_occ(skc3,skc2).
% 1.34/1.49 125[0:Res:7.0,82.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf34(skc3),skf32(skc3),tptp0)* leaf_occ(skc3,skc2).
% 1.34/1.49 126[0:Res:7.0,81.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> next_subocc(skc3,skf36(skc3),tptp0)* leaf_occ(skc3,skc2).
% 1.34/1.49 127[0:Res:7.0,79.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf36(u),tptp3)* leaf_occ(skc3,skc2).
% 1.34/1.49 129[0:Res:7.0,22.0] || -> activity_occurrence(skc3)*.
% 1.34/1.49 149[0:MRR:127.0,127.1,127.3,1.0,8.0,11.0] || -> occurrence_of(skf36(u),tptp3)*.
% 1.34/1.49 151[0:MRR:126.0,126.1,126.3,1.0,8.0,11.0] || -> next_subocc(skc3,skf36(skc3),tptp0)*.
% 1.34/1.49 152[0:MRR:124.0,124.1,124.3,1.0,8.0,11.0] || -> min_precedes(skf36(skc3),skf34(skc3),tptp0)*.
% 1.34/1.49 153[0:MRR:125.0,125.1,125.3,1.0,8.0,11.0] || -> min_precedes(skf34(skc3),skf32(skc3),tptp0)*.
% 1.34/1.49 154[0:MRR:123.0,123.1,123.4,1.0,8.0,11.0] || -> occurrence_of(skf32(u),tptp1)* occurrence_of(skf32(u),tptp2).
% 1.34/1.49 155[0:MRR:122.0,122.2,122.5,1.0,8.0,11.0] || min_precedes(skf36(skc3),u,tptp0)* -> equal(u,skf32(skc3)) equal(u,skf34(skc3)).
% 1.34/1.49 220[0:Res:154.0,25.0] || -> occurrence_of(skf32(u),tptp2)* activity_occurrence(skf32(u)).
% 1.34/1.49 221[0:Res:154.0,24.0] || -> occurrence_of(skf32(u),tptp2)* activity(tptp1).
% 1.34/1.49 222[0:MRR:220.0,25.0] || -> activity_occurrence(skf32(u))*.
% 1.34/1.49 223[1:Spt:221.0] || -> occurrence_of(skf32(u),tptp2)*.
% 1.34/1.49 227[0:Res:153.0,33.0] || -> precedes(skf34(skc3),skf32(skc3))*.
% 1.34/1.49 229[0:Res:227.0,20.0] || -> legal(skf32(skc3))*.
% 1.34/1.49 234[0:Res:32.1,41.1] activity_occurrence(u) arboreal(u) || -> atomic(skf23(u))*.
% 1.34/1.49 253[0:Res:45.1,42.1] atomic(skf22(u,v)) || atocc(u,v)* -> arboreal(u).
% 1.34/1.49 257[0:SSi:253.0,12.0] || atocc(u,v)* -> arboreal(u).
% 1.34/1.49 310[0:Res:153.0,50.0] || -> atocc(skf32(skc3),skf27(tptp0,skf32(skc3)))*.
% 1.34/1.49 314[0:Res:310.0,257.0] || -> arboreal(skf32(skc3))*.
% 1.34/1.49 414[0:Res:32.1,55.0] activity_occurrence(u) || occurrence_of(u,v)* -> equal(v,skf23(u)).
% 1.34/1.49 421[0:MRR:414.0,25.1] || occurrence_of(u,v)* -> equal(v,skf23(u)).
% 1.34/1.49 465[0:Res:45.1,421.0] || atocc(u,v) -> equal(skf22(u,v),skf23(u))**.
% 1.34/1.49 472[0:Rew:465.1,44.1] || atocc(u,v) -> subactivity(v,skf23(u))*.
% 1.34/1.49 473[0:Rew:465.1,45.1] || atocc(u,v)*+ -> occurrence_of(u,skf23(u))*.
% 1.34/1.49 510[0:Res:310.0,473.0] || -> occurrence_of(skf32(skc3),skf23(skf32(skc3)))*.
% 1.34/1.49 564[0:Res:227.0,29.0] || -> earlier(skf34(skc3),skf32(skc3))*l.
% 1.34/1.49 593[0:SpR:465.1,12.0] || atocc(u,v)* -> atomic(skf23(u)).
% 1.34/1.49 613[0:Res:310.0,593.0] || -> atomic(skf23(skf32(skc3)))*.
% 1.34/1.49 653[0:Res:32.1,71.1] activity_occurrence(u) atomic(skf23(u)) || subactivity(v,skf23(u))* -> atocc(u,v).
% 1.34/1.49 682[0:Res:153.0,70.0] || -> leaf(skf32(skc3),tptp0) min_precedes(skf32(skc3),skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.49 706[0:Res:153.0,69.0] || min_precedes(u,skf34(skc3),tptp0)* -> min_precedes(u,skf32(skc3),tptp0).
% 1.34/1.49 1001[0:Res:152.0,706.0] || -> min_precedes(skf36(skc3),skf32(skc3),tptp0)*.
% 1.34/1.49 1026[0:Res:1001.0,86.3] || leaf(skf32(skc3),tptp0) occurrence_of(skf36(skc3),tptp3) occurrence_of(skf32(skc3),tptp2) next_subocc(skc3,skf36(skc3),tptp0)* -> .
% 1.34/1.49 1032[1:MRR:1026.1,1026.2,1026.3,149.0,223.0,151.0] || leaf(skf32(skc3),tptp0)* -> .
% 1.34/1.49 1033[1:MRR:682.0,1032.0] || -> min_precedes(skf32(skc3),skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.49 1041[1:Res:1033.0,69.0] || min_precedes(u,skf32(skc3),tptp0) -> min_precedes(u,skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.49 1050[1:Res:1033.0,33.0] || -> precedes(skf32(skc3),skf21(tptp0,skf32(skc3)))*.
% 1.34/1.49 1062[0:Res:1001.0,85.3] || leaf(skf32(skc3),tptp0) occurrence_of(skf36(skc3),tptp3) occurrence_of(skf32(skc3),tptp1) next_subocc(skc3,skf36(skc3),tptp0)* -> .
% 1.34/1.49 1071[1:Res:1050.0,29.0] || -> earlier(skf32(skc3),skf21(tptp0,skf32(skc3)))*r.
% 1.34/1.49 1382[1:Res:1071.0,34.0] || earlier(skf21(tptp0,skf32(skc3)),skf32(skc3))*l -> .
% 1.34/1.49 1645[1:Res:1041.1,155.0] || min_precedes(skf36(skc3),skf32(skc3),tptp0)* -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3)).
% 1.34/1.49 1666[1:MRR:1645.0,1001.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.49 1673[0:SoR:653.1,234.2] activity_occurrence(u) arboreal(u) activity_occurrence(u) || subactivity(v,skf23(u))* -> atocc(u,v).
% 1.34/1.49 1676[0:Obv:1673.0] arboreal(u) activity_occurrence(u) || subactivity(v,skf23(u))* -> atocc(u,v).
% 1.34/1.49 1949[2:Spt:1666.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3))**.
% 1.34/1.49 1966[2:Rew:1949.0,1071.0] || -> earlier(skf32(skc3),skf32(skc3))*.
% 1.34/1.49 1969[2:Rew:1949.0,1382.0] || earlier(skf32(skc3),skf32(skc3))* -> .
% 1.34/1.49 2005[2:MRR:1969.0,1966.0] || -> .
% 1.34/1.49 2027[2:Spt:2005.0,1666.0,1949.0] || equal(skf21(tptp0,skf32(skc3)),skf32(skc3))** -> .
% 1.34/1.49 2028[2:Spt:2005.0,1666.1] || -> equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.49 2053[2:Rew:2028.0,1382.0] || earlier(skf34(skc3),skf32(skc3))*l -> .
% 1.34/1.49 2054[2:MRR:2053.0,564.0] || -> .
% 1.34/1.49 2089[1:Spt:2054.0,221.1] || -> activity(tptp1)*.
% 1.34/1.49 2091[0:MRR:1062.1,1062.3,149.0,151.0] || leaf(skf32(skc3),tptp0)* occurrence_of(skf32(skc3),tptp1) -> .
% 1.34/1.51 2092[0:MRR:1026.1,1026.3,149.0,151.0] || leaf(skf32(skc3),tptp0)* occurrence_of(skf32(skc3),tptp2) -> .
% 1.34/1.51 2098[0:Res:154.0,42.1] atomic(tptp1) || -> occurrence_of(skf32(u),tptp2)* arboreal(skf32(u)).
% 1.34/1.51 2100[0:Res:154.0,421.0] || -> occurrence_of(skf32(u),tptp2)* equal(skf23(skf32(u)),tptp1).
% 1.34/1.51 2106[1:SSi:2098.0,5.0,2089.0] || -> occurrence_of(skf32(u),tptp2)* arboreal(skf32(u)).
% 1.34/1.51 2108[0:SoR:653.1,613.0] activity_occurrence(skf32(skc3)) || subactivity(u,skf23(skf32(skc3)))* -> atocc(skf32(skc3),u).
% 1.34/1.51 2110[0:SSi:2108.0,229.0,314.0,222.0,1.0,129.0] || subactivity(u,skf23(skf32(skc3)))* -> atocc(skf32(skc3),u).
% 1.34/1.51 2167[1:Res:2106.0,42.1] atomic(tptp2) || -> arboreal(skf32(u))* arboreal(skf32(u))*.
% 1.34/1.51 2175[1:Obv:2167.1] atomic(tptp2) || -> arboreal(skf32(u))*.
% 1.34/1.51 2176[1:SSi:2175.0,4.0] || -> arboreal(skf32(u))*.
% 1.34/1.51 2230[0:Res:2100.0,421.0] || -> equal(skf23(skf32(u)),tptp1)** equal(skf23(skf32(u)),tptp2).
% 1.34/1.51 2235[0:Res:2100.0,24.0] || -> equal(skf23(skf32(u)),tptp1)** activity(tptp2).
% 1.34/1.51 2237[2:Spt:2235.0] || -> equal(skf23(skf32(u)),tptp1)**.
% 1.34/1.51 2239[2:Rew:2237.0,510.0] || -> occurrence_of(skf32(skc3),tptp1)*.
% 1.34/1.51 2241[2:MRR:2091.1,2239.0] || leaf(skf32(skc3),tptp0)* -> .
% 1.34/1.51 2242[2:MRR:682.0,2241.0] || -> min_precedes(skf32(skc3),skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.51 2287[2:Res:2242.0,69.0] || min_precedes(u,skf32(skc3),tptp0) -> min_precedes(u,skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.51 2296[2:Res:2242.0,33.0] || -> precedes(skf32(skc3),skf21(tptp0,skf32(skc3)))*.
% 1.34/1.51 2327[2:Res:2296.0,29.0] || -> earlier(skf32(skc3),skf21(tptp0,skf32(skc3)))*r.
% 1.34/1.51 2645[2:Res:2327.0,34.0] || earlier(skf21(tptp0,skf32(skc3)),skf32(skc3))*l -> .
% 1.34/1.51 2827[2:Res:2287.1,155.0] || min_precedes(skf36(skc3),skf32(skc3),tptp0)* -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3)).
% 1.34/1.51 2851[2:MRR:2827.0,1001.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.51 3126[3:Spt:2851.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3))**.
% 1.34/1.51 3143[3:Rew:3126.0,2327.0] || -> earlier(skf32(skc3),skf32(skc3))*.
% 1.34/1.51 3146[3:Rew:3126.0,2645.0] || earlier(skf32(skc3),skf32(skc3))* -> .
% 1.34/1.51 3184[3:MRR:3146.0,3143.0] || -> .
% 1.34/1.51 3208[3:Spt:3184.0,2851.0,3126.0] || equal(skf21(tptp0,skf32(skc3)),skf32(skc3))** -> .
% 1.34/1.51 3209[3:Spt:3184.0,2851.1] || -> equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.51 3234[3:Rew:3209.0,2645.0] || earlier(skf34(skc3),skf32(skc3))*l -> .
% 1.34/1.51 3235[3:MRR:3234.0,564.0] || -> .
% 1.34/1.51 3272[2:Spt:3235.0,2235.1] || -> activity(tptp2)*.
% 1.34/1.51 3441[0:SpR:2230.0,472.1] || atocc(skf32(u),v)* -> equal(skf23(skf32(u)),tptp2) subactivity(v,tptp1).
% 1.34/1.51 3458[0:Res:26.1,2110.0] activity(skf23(skf32(skc3))) || -> atocc(skf32(skc3),skf23(skf32(skc3)))*.
% 1.34/1.51 3465[1:SSi:3458.0,9.0,229.0,222.0,1.0,129.0,2176.0,1.0,129.2,234.0,229.0,222.0,1.0,129.0,2176.0,1.0,129.0] || -> atocc(skf32(skc3),skf23(skf32(skc3)))*.
% 1.34/1.51 3466[1:SpR:2230.0,3465.0] || -> equal(skf23(skf32(skc3)),tptp2) atocc(skf32(skc3),tptp1)*.
% 1.34/1.51 3488[3:Spt:3466.0] || -> equal(skf23(skf32(skc3)),tptp2)**.
% 1.34/1.51 3490[3:Rew:3488.0,510.0] || -> occurrence_of(skf32(skc3),tptp2)*.
% 1.34/1.51 3502[3:MRR:2092.1,3490.0] || leaf(skf32(skc3),tptp0)* -> .
% 1.34/1.51 3503[3:MRR:682.0,3502.0] || -> min_precedes(skf32(skc3),skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.51 3554[3:Res:3503.0,69.0] || min_precedes(u,skf32(skc3),tptp0) -> min_precedes(u,skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.51 3563[3:Res:3503.0,33.0] || -> precedes(skf32(skc3),skf21(tptp0,skf32(skc3)))*.
% 1.34/1.51 3573[3:Res:3563.0,29.0] || -> earlier(skf32(skc3),skf21(tptp0,skf32(skc3)))*r.
% 1.34/1.51 3895[3:Res:3573.0,34.0] || earlier(skf21(tptp0,skf32(skc3)),skf32(skc3))*l -> .
% 1.34/1.51 3948[0:Res:26.1,1676.2] activity(skf23(u)) arboreal(u) activity_occurrence(u) || -> atocc(u,skf23(u))*.
% 1.34/1.51 3955[0:SSi:3948.0,9.2,234.0] arboreal(u) activity_occurrence(u) || -> atocc(u,skf23(u))*.
% 1.34/1.51 3963[0:SpR:2230.0,3955.2] arboreal(skf32(u)) activity_occurrence(skf32(u)) || -> equal(skf23(skf32(u)),tptp2) atocc(skf32(u),tptp1)*.
% 1.34/1.51 3984[1:SSi:3963.1,3963.0,222.0,2176.0,222.0,2176.0] || -> equal(skf23(skf32(u)),tptp2) atocc(skf32(u),tptp1)*.
% 1.34/1.51 4169[3:Res:3554.1,155.0] || min_precedes(skf36(skc3),skf32(skc3),tptp0)* -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3)).
% 1.34/1.51 4195[3:MRR:4169.0,1001.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.51 4541[1:Res:3984.1,3441.0] || -> equal(skf23(skf32(u)),tptp2)** equal(skf23(skf32(u)),tptp2)** subactivity(tptp1,tptp1).
% 1.34/1.51 4542[1:Obv:4541.0] || -> equal(skf23(skf32(u)),tptp2)** subactivity(tptp1,tptp1).
% 1.34/1.51 4940[4:Spt:4195.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3))**.
% 1.34/1.51 4957[4:Rew:4940.0,3573.0] || -> earlier(skf32(skc3),skf32(skc3))*.
% 1.34/1.51 4960[4:Rew:4940.0,3895.0] || earlier(skf32(skc3),skf32(skc3))* -> .
% 1.34/1.51 4999[4:MRR:4960.0,4957.0] || -> .
% 1.34/1.51 5025[4:Spt:4999.0,4195.0,4940.0] || equal(skf21(tptp0,skf32(skc3)),skf32(skc3))** -> .
% 1.34/1.51 5026[4:Spt:4999.0,4195.1] || -> equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.51 5051[4:Rew:5026.0,3895.0] || earlier(skf34(skc3),skf32(skc3))*l -> .
% 1.34/1.51 5052[4:MRR:5051.0,564.0] || -> .
% 1.34/1.51 5090[3:Spt:5052.0,3466.0,3488.0] || equal(skf23(skf32(skc3)),tptp2)** -> .
% 1.34/1.51 5091[3:Spt:5052.0,3466.1] || -> atocc(skf32(skc3),tptp1)*.
% 1.34/1.51 5179[4:Spt:682.0] || -> leaf(skf32(skc3),tptp0)*.
% 1.34/1.51 5180[4:MRR:2092.0,5179.0] || occurrence_of(skf32(skc3),tptp2)* -> .
% 1.34/1.51 5181[4:MRR:2091.0,5179.0] || occurrence_of(skf32(skc3),tptp1)* -> .
% 1.34/1.51 5199[4:Res:2100.0,5180.0] || -> equal(skf23(skf32(skc3)),tptp1)**.
% 1.34/1.51 5204[4:Rew:5199.0,510.0] || -> occurrence_of(skf32(skc3),tptp1)*.
% 1.34/1.51 5214[4:MRR:5204.0,5181.0] || -> .
% 1.34/1.51 5222[4:Spt:5214.0,682.0,5179.0] || leaf(skf32(skc3),tptp0)* -> .
% 1.34/1.51 5223[4:Spt:5214.0,682.1] || -> min_precedes(skf32(skc3),skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.51 5232[4:Res:5223.0,69.0] || min_precedes(u,skf32(skc3),tptp0) -> min_precedes(u,skf21(tptp0,skf32(skc3)),tptp0)*.
% 1.34/1.51 5241[4:Res:5223.0,33.0] || -> precedes(skf32(skc3),skf21(tptp0,skf32(skc3)))*.
% 1.34/1.51 5289[4:Res:5241.0,29.0] || -> earlier(skf32(skc3),skf21(tptp0,skf32(skc3)))*r.
% 1.34/1.51 5393[5:Spt:4542.0] || -> equal(skf23(skf32(u)),tptp2)**.
% 1.34/1.51 5394[5:UnC:5393.0,5090.0] || -> .
% 1.34/1.51 5395[5:Spt:5394.0,4542.1] || -> subactivity(tptp1,tptp1)*.
% 1.34/1.51 5863[4:Res:5289.0,34.0] || earlier(skf21(tptp0,skf32(skc3)),skf32(skc3))*l -> .
% 1.34/1.51 6216[4:Res:5232.1,155.0] || min_precedes(skf36(skc3),skf32(skc3),tptp0)* -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3)).
% 1.34/1.51 6243[4:MRR:6216.0,1001.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3)) equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.51 6624[6:Spt:6243.0] || -> equal(skf21(tptp0,skf32(skc3)),skf32(skc3))**.
% 1.34/1.51 6641[6:Rew:6624.0,5289.0] || -> earlier(skf32(skc3),skf32(skc3))*.
% 1.34/1.51 6644[6:Rew:6624.0,5863.0] || earlier(skf32(skc3),skf32(skc3))* -> .
% 1.34/1.51 6682[6:MRR:6644.0,6641.0] || -> .
% 1.34/1.51 6709[6:Spt:6682.0,6243.0,6624.0] || equal(skf21(tptp0,skf32(skc3)),skf32(skc3))** -> .
% 1.34/1.51 6710[6:Spt:6682.0,6243.1] || -> equal(skf21(tptp0,skf32(skc3)),skf34(skc3))**.
% 1.34/1.51 6736[6:Rew:6710.0,5863.0] || earlier(skf34(skc3),skf32(skc3))*l -> .
% 1.34/1.51 6737[6:MRR:6736.0,564.0] || -> .
% 1.34/1.51 % SZS output end Refutation
% 1.34/1.51 Formulae used in the proof : goals sos_36 sos_37 sos_18 sos_29 sos_15 sos_38 sos_08 sos_19 sos_31 sos_06 sos_09 sos_13 sos_26 sos_22 sos sos_14 sos_32
% 1.34/1.51
%------------------------------------------------------------------------------