TSTP Solution File: PRO017+3 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PRO017+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 9.58s 9.76s
% Output   : Refutation 9.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PRO017+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 13 02:50:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 9.58/9.76  
% 9.58/9.76  SPASS V 3.9 
% 9.58/9.76  SPASS beiseite: Proof found.
% 9.58/9.76  % SZS status Theorem
% 9.58/9.76  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 9.58/9.76  SPASS derived 12208 clauses, backtracked 2053 clauses, performed 43 splits and kept 6827 clauses.
% 9.58/9.76  SPASS allocated 109280 KBytes.
% 9.58/9.76  SPASS spent	0:00:09.39 on the problem.
% 9.58/9.76  		0:00:00.03 for the input.
% 9.58/9.76  		0:00:00.13 for the FLOTTER CNF translation.
% 9.58/9.76  		0:00:00.21 for inferences.
% 9.58/9.76  		0:00:00.13 for the backtracking.
% 9.58/9.76  		0:00:08.72 for the reduction.
% 9.58/9.76  
% 9.58/9.76  
% 9.58/9.76  Here is a proof with depth 9, length 155 :
% 9.58/9.76  % SZS output start Refutation
% 9.58/9.76  1[0:Inp] ||  -> arboreal(skc3)*.
% 9.58/9.76  3[0:Inp] ||  -> atomic(tptp4)*.
% 9.58/9.76  4[0:Inp] ||  -> atomic(tptp2)*.
% 9.58/9.76  5[0:Inp] ||  -> atomic(tptp1)*.
% 9.58/9.76  7[0:Inp] ||  -> subactivity_occurrence(skc3,skc2)*l.
% 9.58/9.76  8[0:Inp] ||  -> occurrence_of(skc2,tptp0)*.
% 9.58/9.76  11[0:Inp] || leaf_occ(skc3,skc2)* -> .
% 9.58/9.76  13[0:Inp] || equal(tptp4,tptp3)** -> .
% 9.58/9.76  16[0:Inp] || equal(tptp2,tptp3)** -> .
% 9.58/9.76  17[0:Inp] || equal(tptp1,tptp3)** -> .
% 9.58/9.76  20[0:Inp] || occurrence_of(u,v)* -> activity(v).
% 9.58/9.76  21[0:Inp] || occurrence_of(u,v)* -> activity_occurrence(u).
% 9.58/9.76  23[0:Inp] || precedes(u,v)* -> legal(v).
% 9.58/9.76  27[0:Inp] activity_occurrence(u) ||  -> occurrence_of(u,skf19(u))*.
% 9.58/9.76  32[0:Inp] || next_subocc(u,v,w)* -> arboreal(v).
% 9.58/9.76  35[0:Inp] || min_precedes(u,v,w)* -> precedes(u,v).
% 9.58/9.76  38[0:Inp] atomic(u) || occurrence_of(v,u)* -> arboreal(v).
% 9.58/9.76  43[0:Inp] || leaf(u,v) min_precedes(u,w,v)* -> .
% 9.58/9.76  44[0:Inp] || next_subocc(u,v,w)* -> min_precedes(u,v,w).
% 9.58/9.76  58[0:Inp] || occurrence_of(u,v)*+ occurrence_of(u,w)* -> equal(w,v)*.
% 9.58/9.76  61[0:Inp] || min_precedes(u,v,w) -> occurrence_of(skf28(v,u,w),w)*.
% 9.58/9.76  63[0:Inp] || min_precedes(u,v,w)*+ -> subactivity_occurrence(v,skf28(v,x,y))*r.
% 9.58/9.76  73[0:Inp] || leaf_occ(u,v)* occurrence_of(v,w)* min_precedes(u,x,w)*+ -> .
% 9.58/9.76  76[0:Inp] || min_precedes(u,v,w)*+ -> leaf(v,w) min_precedes(v,skf25(w,v),w)*.
% 9.58/9.76  78[0:Inp] || min_precedes(skf40(u),v,tptp0)* -> equal(v,skf36(u)) equal(v,skf38(u)).
% 9.58/9.76  91[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* occurrence_of(skf40(u),tptp3)*.
% 9.58/9.76  92[0:Inp] arboreal(u) || subactivity_occurrence(u,v) occurrence_of(v,tptp0) -> occurrence_of(skf38(w),tptp4)* leaf_occ(u,v)*.
% 9.58/9.76  94[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* next_subocc(u,skf40(u),tptp0)*.
% 9.58/9.76  95[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* min_precedes(skf38(u),skf36(u),tptp0)*.
% 9.58/9.76  96[0:Inp] arboreal(u) || subactivity_occurrence(u,v)+ occurrence_of(v,tptp0) -> leaf_occ(u,v)* min_precedes(skf40(u),skf38(u),tptp0)*.
% 9.58/9.76  99[0:Inp] arboreal(u) || subactivity_occurrence(u,v) occurrence_of(v,tptp0) -> occurrence_of(skf36(w),tptp2) occurrence_of(skf36(w),tptp1)* leaf_occ(u,v)*.
% 9.58/9.76  102[0:Inp] || leaf(u,tptp0) occurrence_of(v,tptp3) occurrence_of(u,tptp1) min_precedes(v,u,tptp0)*+ next_subocc(skc3,v,tptp0)* -> .
% 9.58/9.76  103[0:Inp] || leaf(u,tptp0) occurrence_of(v,tptp3) occurrence_of(u,tptp2) min_precedes(v,u,tptp0)*+ next_subocc(skc3,v,tptp0)* -> .
% 9.58/9.76  161[0:Res:7.0,99.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf36(u),tptp2) occurrence_of(skf36(u),tptp1)* leaf_occ(skc3,skc2).
% 9.58/9.76  162[0:Res:7.0,96.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf40(skc3),skf38(skc3),tptp0)* leaf_occ(skc3,skc2).
% 9.58/9.76  163[0:Res:7.0,95.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> min_precedes(skf38(skc3),skf36(skc3),tptp0)* leaf_occ(skc3,skc2).
% 9.58/9.76  164[0:Res:7.0,94.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> next_subocc(skc3,skf40(skc3),tptp0)* leaf_occ(skc3,skc2).
% 9.58/9.76  165[0:Res:7.0,92.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf38(u),tptp4)* leaf_occ(skc3,skc2).
% 9.58/9.76  166[0:Res:7.0,91.1] arboreal(skc3) || occurrence_of(skc2,tptp0) -> occurrence_of(skf40(skc3),tptp3)* leaf_occ(skc3,skc2).
% 9.58/9.76  187[0:MRR:165.0,165.1,165.3,1.0,8.0,11.0] ||  -> occurrence_of(skf38(u),tptp4)*.
% 9.58/9.76  188[0:MRR:166.0,166.1,166.3,1.0,8.0,11.0] ||  -> occurrence_of(skf40(skc3),tptp3)*.
% 9.58/9.76  189[0:MRR:164.0,164.1,164.3,1.0,8.0,11.0] ||  -> next_subocc(skc3,skf40(skc3),tptp0)*.
% 9.58/9.76  190[0:MRR:162.0,162.1,162.3,1.0,8.0,11.0] ||  -> min_precedes(skf40(skc3),skf38(skc3),tptp0)*.
% 9.58/9.76  191[0:MRR:163.0,163.1,163.3,1.0,8.0,11.0] ||  -> min_precedes(skf38(skc3),skf36(skc3),tptp0)*.
% 9.58/9.76  193[0:MRR:161.0,161.1,161.4,1.0,8.0,11.0] ||  -> occurrence_of(skf36(u),tptp1)* occurrence_of(skf36(u),tptp2).
% 9.58/9.76  233[0:Res:187.0,20.0] ||  -> activity(tptp4)*.
% 9.58/9.76  235[0:Res:188.0,21.0] ||  -> activity_occurrence(skf40(skc3))*.
% 9.58/9.76  236[0:Res:187.0,21.0] ||  -> activity_occurrence(skf38(u))*.
% 9.58/9.76  245[0:Res:189.0,32.0] ||  -> arboreal(skf40(skc3))*.
% 9.58/9.76  252[0:Res:193.0,21.0] ||  -> occurrence_of(skf36(u),tptp2)* activity_occurrence(skf36(u)).
% 9.58/9.76  254[0:MRR:252.0,21.0] ||  -> activity_occurrence(skf36(u))*.
% 9.58/9.76  271[0:Res:187.0,38.1] atomic(tptp4) ||  -> arboreal(skf38(u))*.
% 9.58/9.76  273[0:Res:193.0,38.1] atomic(tptp1) ||  -> occurrence_of(skf36(u),tptp2)* arboreal(skf36(u)).
% 9.58/9.76  275[0:SSi:271.0,3.0,233.0] ||  -> arboreal(skf38(u))*.
% 9.58/9.76  277[0:SSi:273.0,5.0] ||  -> occurrence_of(skf36(u),tptp2)* arboreal(skf36(u)).
% 9.58/9.76  279[0:Res:277.0,38.1] atomic(tptp2) ||  -> arboreal(skf36(u))* arboreal(skf36(u))*.
% 9.58/9.76  283[0:Obv:279.1] atomic(tptp2) ||  -> arboreal(skf36(u))*.
% 9.58/9.76  284[0:SSi:283.0,4.0] ||  -> arboreal(skf36(u))*.
% 9.58/9.76  339[0:Res:190.0,43.1] || leaf(skf40(skc3),tptp0)* -> .
% 9.58/9.76  342[0:Res:189.0,44.0] ||  -> min_precedes(skc3,skf40(skc3),tptp0)*.
% 9.58/9.76  351[0:Res:342.0,35.0] ||  -> precedes(skc3,skf40(skc3))*.
% 9.58/9.76  356[0:Res:351.0,23.0] ||  -> legal(skf40(skc3))*.
% 9.58/9.76  455[0:Res:187.0,58.0] || occurrence_of(skf38(u),v)* -> equal(v,tptp4).
% 9.58/9.76  456[0:Res:27.1,58.0] activity_occurrence(u) || occurrence_of(u,v)* -> equal(v,skf19(u)).
% 9.58/9.76  458[0:Res:193.0,58.0] || occurrence_of(skf36(u),v)*+ -> occurrence_of(skf36(u),tptp2)* equal(v,tptp1).
% 9.58/9.76  463[0:MRR:456.0,21.1] || occurrence_of(u,v)* -> equal(v,skf19(u)).
% 9.58/9.76  475[0:Res:27.1,455.0] activity_occurrence(skf38(u)) ||  -> equal(skf19(skf38(u)),tptp4)**.
% 9.58/9.76  479[0:SSi:475.0,236.0,275.0] ||  -> equal(skf19(skf38(u)),tptp4)**.
% 9.58/9.76  557[0:Res:193.0,463.0] ||  -> occurrence_of(skf36(u),tptp2)* equal(skf19(skf36(u)),tptp1).
% 9.58/9.76  650[0:Res:557.0,20.0] ||  -> equal(skf19(skf36(u)),tptp1)** activity(tptp2).
% 9.58/9.76  651[1:Spt:650.0] ||  -> equal(skf19(skf36(u)),tptp1)**.
% 9.58/9.76  655[1:SpR:651.0,27.1] activity_occurrence(skf36(u)) ||  -> occurrence_of(skf36(u),tptp1)*.
% 9.58/9.76  659[1:SSi:655.0,254.0,284.0] ||  -> occurrence_of(skf36(u),tptp1)*.
% 9.58/9.76  669[0:Res:190.0,73.2] || leaf_occ(skf40(skc3),u)* occurrence_of(u,tptp0) -> .
% 9.58/9.76  809[0:Res:191.0,76.0] ||  -> leaf(skf36(skc3),tptp0) min_precedes(skf36(skc3),skf25(tptp0,skf36(skc3)),tptp0)*.
% 9.58/9.76  814[0:Res:342.0,76.0] ||  -> leaf(skf40(skc3),tptp0) min_precedes(skf40(skc3),skf25(tptp0,skf40(skc3)),tptp0)*.
% 9.58/9.76  820[0:MRR:814.0,339.0] ||  -> min_precedes(skf40(skc3),skf25(tptp0,skf40(skc3)),tptp0)*.
% 9.58/9.76  848[0:Res:820.0,78.0] ||  -> equal(skf25(tptp0,skf40(skc3)),skf36(skc3)) equal(skf25(tptp0,skf40(skc3)),skf38(skc3))**.
% 9.58/9.76  957[0:Res:342.0,63.0] ||  -> subactivity_occurrence(skf40(skc3),skf28(skf40(skc3),u,v))*r.
% 9.58/9.76  1199[0:Res:820.0,102.3] || leaf(skf25(tptp0,skf40(skc3)),tptp0)* occurrence_of(skf40(skc3),tptp3) occurrence_of(skf25(tptp0,skf40(skc3)),tptp1) next_subocc(skc3,skf40(skc3),tptp0) -> .
% 9.58/9.76  1205[0:MRR:1199.1,1199.3,188.0,189.0] || leaf(skf25(tptp0,skf40(skc3)),tptp0)* occurrence_of(skf25(tptp0,skf40(skc3)),tptp1) -> .
% 9.58/9.76  1293[2:Spt:809.0] ||  -> leaf(skf36(skc3),tptp0)*.
% 9.58/9.76  2206[0:Res:957.0,94.1] arboreal(skf40(skc3)) || occurrence_of(skf28(skf40(skc3),u,v),tptp0) -> leaf_occ(skf40(skc3),skf28(skf40(skc3),u,v))* next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0).
% 9.58/9.76  2207[0:Res:957.0,91.1] arboreal(skf40(skc3)) || occurrence_of(skf28(skf40(skc3),u,v),tptp0) -> leaf_occ(skf40(skc3),skf28(skf40(skc3),u,v))* occurrence_of(skf40(skf40(skc3)),tptp3).
% 9.58/9.76  2249[0:SSi:2207.0,235.0,245.0,356.0] || occurrence_of(skf28(skf40(skc3),u,v),tptp0) -> leaf_occ(skf40(skc3),skf28(skf40(skc3),u,v))* occurrence_of(skf40(skf40(skc3)),tptp3).
% 9.58/9.76  2250[0:MRR:2249.1,669.0] || occurrence_of(skf28(skf40(skc3),u,v),tptp0)* -> occurrence_of(skf40(skf40(skc3)),tptp3).
% 9.58/9.76  2251[0:SSi:2206.0,235.0,245.0,356.0] || occurrence_of(skf28(skf40(skc3),u,v),tptp0) -> leaf_occ(skf40(skc3),skf28(skf40(skc3),u,v))* next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0).
% 9.58/9.76  2252[0:MRR:2251.1,669.0] || occurrence_of(skf28(skf40(skc3),u,v),tptp0)*+ -> next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 9.58/9.76  2370[0:Res:61.1,2250.0] || min_precedes(u,skf40(skc3),tptp0)* -> occurrence_of(skf40(skf40(skc3)),tptp3).
% 9.63/9.83  2372[0:Res:342.0,2370.0] ||  -> occurrence_of(skf40(skf40(skc3)),tptp3)*.
% 9.63/9.83  2389[0:Res:2372.0,463.0] ||  -> equal(skf19(skf40(skf40(skc3))),tptp3)**.
% 9.63/9.83  2714[3:Spt:848.0] ||  -> equal(skf25(tptp0,skf40(skc3)),skf36(skc3))**.
% 9.63/9.83  2736[3:Rew:2714.0,1205.0] || leaf(skf36(skc3),tptp0) occurrence_of(skf25(tptp0,skf40(skc3)),tptp1)* -> .
% 9.63/9.83  2761[3:Rew:2714.0,2736.1] || leaf(skf36(skc3),tptp0)* occurrence_of(skf36(skc3),tptp1) -> .
% 9.63/9.83  2762[3:MRR:2761.0,2761.1,1293.0,659.0] ||  -> .
% 9.63/9.83  2776[3:Spt:2762.0,848.0,2714.0] || equal(skf25(tptp0,skf40(skc3)),skf36(skc3))** -> .
% 9.63/9.83  2777[3:Spt:2762.0,848.1] ||  -> equal(skf25(tptp0,skf40(skc3)),skf38(skc3))**.
% 9.63/9.83  7196[0:Res:61.1,2252.0] || min_precedes(u,skf40(skc3),tptp0)*+ -> next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 9.63/9.83  7200[0:Res:342.0,7196.0] ||  -> next_subocc(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 9.63/9.83  7210[0:Res:7200.0,44.0] ||  -> min_precedes(skf40(skc3),skf40(skf40(skc3)),tptp0)*.
% 9.63/9.83  7214[0:Res:7210.0,102.3] || leaf(skf40(skf40(skc3)),tptp0) occurrence_of(skf40(skc3),tptp3) occurrence_of(skf40(skf40(skc3)),tptp1) next_subocc(skc3,skf40(skc3),tptp0)* -> .
% 9.63/9.83  7215[0:Res:7210.0,103.3] || leaf(skf40(skf40(skc3)),tptp0) occurrence_of(skf40(skc3),tptp3) occurrence_of(skf40(skf40(skc3)),tptp2) next_subocc(skc3,skf40(skc3),tptp0)* -> .
% 9.63/9.83  7218[0:Res:7210.0,78.0] ||  -> equal(skf40(skf40(skc3)),skf36(skc3)) equal(skf40(skf40(skc3)),skf38(skc3))**.
% 9.63/9.83  7242[0:MRR:7215.1,7215.3,188.0,189.0] || leaf(skf40(skf40(skc3)),tptp0)* occurrence_of(skf40(skf40(skc3)),tptp2) -> .
% 9.63/9.83  7243[0:MRR:7214.1,7214.3,188.0,189.0] || leaf(skf40(skf40(skc3)),tptp0)* occurrence_of(skf40(skf40(skc3)),tptp1) -> .
% 9.63/9.83  7963[4:Spt:7218.0] ||  -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 9.63/9.83  8023[4:Rew:7963.0,7243.0] || leaf(skf36(skc3),tptp0) occurrence_of(skf40(skf40(skc3)),tptp1)* -> .
% 9.63/9.83  8049[4:Rew:7963.0,8023.1] || leaf(skf36(skc3),tptp0)* occurrence_of(skf36(skc3),tptp1) -> .
% 9.63/9.83  8050[4:MRR:8049.0,8049.1,1293.0,659.0] ||  -> .
% 9.63/9.83  8071[4:Spt:8050.0,7218.0,7963.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 9.63/9.83  8072[4:Spt:8050.0,7218.1] ||  -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 9.63/9.83  8083[4:Rew:8072.0,2389.0] ||  -> equal(skf19(skf38(skc3)),tptp3)**.
% 9.63/9.83  8085[4:Rew:479.0,8083.0] ||  -> equal(tptp4,tptp3)**.
% 9.63/9.83  8086[4:MRR:8085.0,13.0] ||  -> .
% 9.63/9.83  8159[2:Spt:8086.0,809.0,1293.0] || leaf(skf36(skc3),tptp0)* -> .
% 9.63/9.83  8160[2:Spt:8086.0,809.1] ||  -> min_precedes(skf36(skc3),skf25(tptp0,skf36(skc3)),tptp0)*.
% 9.63/9.83  10170[3:Spt:7218.0] ||  -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 9.63/9.83  10176[3:Rew:10170.0,2389.0] ||  -> equal(skf19(skf36(skc3)),tptp3)**.
% 9.63/9.83  10260[3:Rew:651.0,10176.0] ||  -> equal(tptp1,tptp3)**.
% 9.63/9.83  10261[3:MRR:10260.0,17.0] ||  -> .
% 9.63/9.83  10296[3:Spt:10261.0,7218.0,10170.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 9.63/9.83  10297[3:Spt:10261.0,7218.1] ||  -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 9.63/9.83  10308[3:Rew:10297.0,2389.0] ||  -> equal(skf19(skf38(skc3)),tptp3)**.
% 9.63/9.83  10313[3:Rew:479.0,10308.0] ||  -> equal(tptp4,tptp3)**.
% 9.63/9.83  10314[3:MRR:10313.0,13.0] ||  -> .
% 9.63/9.83  10393[1:Spt:10314.0,650.1] ||  -> activity(tptp2)*.
% 9.63/9.83  10899[2:Spt:809.0] ||  -> leaf(skf36(skc3),tptp0)*.
% 9.63/9.83  12324[3:Spt:7218.0] ||  -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 9.63/9.83  12328[3:Rew:12324.0,2372.0] ||  -> occurrence_of(skf36(skc3),tptp3)*.
% 9.63/9.83  12358[3:Rew:12324.0,7242.0] || leaf(skf36(skc3),tptp0) occurrence_of(skf40(skf40(skc3)),tptp2)* -> .
% 9.63/9.83  12437[3:Rew:12324.0,12358.1] || leaf(skf36(skc3),tptp0)* occurrence_of(skf36(skc3),tptp2) -> .
% 9.63/9.83  12438[3:MRR:12437.0,10899.0] || occurrence_of(skf36(skc3),tptp2)* -> .
% 9.63/9.83  12500[3:Res:12328.0,458.0] ||  -> occurrence_of(skf36(skc3),tptp2)* equal(tptp1,tptp3).
% 9.63/9.83  12501[3:MRR:12500.1,17.0] ||  -> occurrence_of(skf36(skc3),tptp2)*.
% 9.63/9.83  12502[3:MRR:12501.0,12438.0] ||  -> .
% 9.63/9.83  12503[3:Spt:12502.0,7218.0,12324.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 9.63/9.83  12504[3:Spt:12502.0,7218.1] ||  -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 9.63/9.83  12515[3:Rew:12504.0,2389.0] ||  -> equal(skf19(skf38(skc3)),tptp3)**.
% 9.63/9.83  12520[3:Rew:479.0,12515.0] ||  -> equal(tptp4,tptp3)**.
% 9.63/9.83  12521[3:MRR:12520.0,13.0] ||  -> .
% 9.63/9.83  12603[2:Spt:12521.0,809.0,10899.0] || leaf(skf36(skc3),tptp0)* -> .
% 9.63/9.83  12604[2:Spt:12521.0,809.1] ||  -> min_precedes(skf36(skc3),skf25(tptp0,skf36(skc3)),tptp0)*.
% 9.63/9.83  14353[3:Spt:7218.0] ||  -> equal(skf40(skf40(skc3)),skf36(skc3))**.
% 9.63/9.83  14357[3:Rew:14353.0,2372.0] ||  -> occurrence_of(skf36(skc3),tptp3)*.
% 9.63/9.83  14359[3:Rew:14353.0,2389.0] ||  -> equal(skf19(skf36(skc3)),tptp3)**.
% 9.63/9.83  14530[3:Res:14357.0,458.0] ||  -> occurrence_of(skf36(skc3),tptp2)* equal(tptp1,tptp3).
% 9.63/9.83  14531[3:MRR:14530.1,17.0] ||  -> occurrence_of(skf36(skc3),tptp2)*.
% 9.63/9.83  14568[3:Res:14531.0,463.0] ||  -> equal(skf19(skf36(skc3)),tptp2)**.
% 9.63/9.83  14574[3:Rew:14359.0,14568.0] ||  -> equal(tptp2,tptp3)**.
% 9.63/9.83  14575[3:MRR:14574.0,16.0] ||  -> .
% 9.63/9.83  14577[3:Spt:14575.0,7218.0,14353.0] || equal(skf40(skf40(skc3)),skf36(skc3))** -> .
% 9.63/9.83  14578[3:Spt:14575.0,7218.1] ||  -> equal(skf40(skf40(skc3)),skf38(skc3))**.
% 9.63/9.83  14589[3:Rew:14578.0,2389.0] ||  -> equal(skf19(skf38(skc3)),tptp3)**.
% 9.63/9.83  14594[3:Rew:479.0,14589.0] ||  -> equal(tptp4,tptp3)**.
% 9.63/9.83  14595[3:MRR:14594.0,13.0] ||  -> .
% 9.63/9.83  % SZS output end Refutation
% 9.63/9.83  Formulae used in the proof : goals sos_52 sos_53 sos_54 sos_56 sos_59 sos_60 sos sos_10 sos_01 sos_44 sos_15 sos_07 sos_21 sos_22 sos_02 sos_25 sos_37 sos_49 sos_46 sos_51
% 9.63/9.83  
%------------------------------------------------------------------------------