TSTP Solution File: MGT042+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 22:26:24 EDT 2022
% Result : Theorem 28.38s 28.57s
% Output : Refutation 29.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 : Thu Jun 9 12:22:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 28.38/28.57
% 28.38/28.57 SPASS V 3.9
% 28.38/28.57 SPASS beiseite: Proof found.
% 28.38/28.57 % SZS status Theorem
% 28.38/28.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.38/28.57 SPASS derived 26484 clauses, backtracked 2539 clauses, performed 20 splits and kept 8902 clauses.
% 28.38/28.57 SPASS allocated 121590 KBytes.
% 28.38/28.57 SPASS spent 0:0:28.21 on the problem.
% 28.38/28.57 0:00:00.03 for the input.
% 28.38/28.57 0:00:00.03 for the FLOTTER CNF translation.
% 28.38/28.57 0:00:00.47 for inferences.
% 28.38/28.57 0:00:00.26 for the backtracking.
% 28.38/28.57 0:0:27.33 for the reduction.
% 28.38/28.57
% 28.38/28.57
% 28.38/28.57 Here is a proof with depth 5, length 183 :
% 28.38/28.57 % SZS output start Refutation
% 28.38/28.57 1[0:Inp] || -> organization(skc3)*.
% 28.38/28.57 2[0:Inp] || has_immunity(skc3,skc5)* -> .
% 28.38/28.57 3[0:Inp] || has_immunity(skc3,skc4)* -> .
% 28.38/28.57 5[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*.
% 28.38/28.57 6[0:Inp] || greater(u,v) -> greater_or_equal(u,v)*.
% 28.38/28.57 7[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*.
% 28.38/28.57 8[0:Inp] || smaller(u,v)* -> greater(v,u).
% 28.38/28.57 11[0:Inp] || -> greater(u,v) equal(u,v) smaller(u,v)*.
% 28.38/28.57 12[0:Inp] || smaller_or_equal(u,v)* -> equal(u,v) smaller(u,v).
% 28.38/28.57 13[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 28.38/28.57 14[0:Inp] || -> greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) SkP0(w,v,u)*.
% 28.38/28.57 15[0:Inp] || -> smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* SkP0(w,v,u).
% 28.38/28.57 16[0:Inp] || -> greater_or_equal(external_ties(u,v),external_ties(u,w))* SkP0(w,v,u).
% 28.38/28.57 18[0:Inp] || SkP0(skc5,skc4,skc3) -> greater_or_equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*.
% 28.38/28.57 19[0:Inp] || SkP0(skc5,skc4,skc3) -> smaller_or_equal(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*.
% 28.38/28.57 20[0:Inp] || SkP0(skc5,skc4,skc3)* -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5)).
% 28.38/28.57 21[0:Inp] || smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))* -> SkP0(w,v,u).
% 28.38/28.57 22[0:Inp] || smaller(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))* SkP0(skc5,skc4,skc3) -> .
% 28.38/28.57 23[0:Inp] organization(u) || greater(external_ties(u,v),external_ties(u,w))* -> greater(position(u,v),position(u,w)).
% 28.38/28.57 24[0:Inp] organization(u) || equal(external_ties(u,v),external_ties(u,w))* -> equal(position(u,v),position(u,w)).
% 28.38/28.57 25[0:Inp] organization(u) || equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) equal(internal_friction(u,v),internal_friction(u,w))* -> equal(capability(u,v),capability(u,w)).
% 28.38/28.57 26[0:Inp] organization(u) || smaller_or_equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))* greater(internal_friction(u,v),internal_friction(u,w)) -> smaller(capability(u,v),capability(u,w)).
% 28.38/28.57 27[0:Inp] organization(u) || greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* -> greater(capability(u,v),capability(u,w)).
% 28.38/28.57 29[0:Inp] organization(u) || greater_or_equal(capability(u,v),capability(u,w)) greater(position(u,v),position(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 28.38/28.57 30[0:Inp] organization(u) || greater(capability(u,v),capability(u,w)) greater_or_equal(position(u,v),position(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 28.38/28.57 31[0:MRR:19.0,15.1] || -> smaller_or_equal(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*.
% 28.38/28.57 32[0:MRR:22.1,21.1] || smaller(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))* -> .
% 28.38/28.57 35[0:Res:1.0,27.0] || greater(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,v)) smaller_or_equal(internal_friction(skc3,u),internal_friction(skc3,v))* -> greater(capability(skc3,u),capability(skc3,v)).
% 28.38/28.57 38[0:Res:1.0,23.0] || greater(external_ties(skc3,u),external_ties(skc3,v))* -> greater(position(skc3,u),position(skc3,v)).
% 28.38/28.57 39[0:Res:1.0,25.0] || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,v)) equal(internal_friction(skc3,u),internal_friction(skc3,v))* -> equal(capability(skc3,u),capability(skc3,v)).
% 28.38/28.57 40[0:Res:1.0,24.0] || equal(external_ties(skc3,u),external_ties(skc3,v))* -> equal(position(skc3,u),position(skc3,v)).
% 28.38/28.57 44[0:Res:30.5,3.0] organization(skc3) || greater_or_equal(position(skc3,skc4),position(skc3,u)) greater(capability(skc3,skc4),capability(skc3,u)) -> smaller(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,u))* has_immunity(skc3,u).
% 28.38/28.57 53[0:Res:31.0,12.0] || -> equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4)) smaller(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*.
% 28.38/28.57 54[0:Res:31.0,27.1] organization(skc3) || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 28.38/28.57 55[0:Res:11.0,32.0] || -> greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))*r equal(hazard_of_mortality(skc3,skc5),hazard_of_mortality(skc3,skc4)).
% 28.38/28.57 57[0:Res:30.3,32.0] organization(skc3) || greater_or_equal(position(skc3,skc4),position(skc3,skc5))* greater(capability(skc3,skc4),capability(skc3,skc5)) -> has_immunity(skc3,skc5) has_immunity(skc3,skc4).
% 28.38/28.57 58[0:Res:29.3,32.0] organization(skc3) || greater(position(skc3,skc4),position(skc3,skc5)) greater_or_equal(capability(skc3,skc4),capability(skc3,skc5))* -> has_immunity(skc3,skc5) has_immunity(skc3,skc4).
% 28.38/28.57 60[0:MRR:54.0,1.0] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 28.38/28.57 63[0:MRR:58.0,58.3,58.4,1.0,2.0,3.0] || greater_or_equal(capability(skc3,skc4),capability(skc3,skc5))* greater(position(skc3,skc4),position(skc3,skc5)) -> .
% 28.38/28.57 64[0:MRR:57.0,57.3,57.4,1.0,2.0,3.0] || greater(capability(skc3,skc4),capability(skc3,skc5)) greater_or_equal(position(skc3,skc4),position(skc3,skc5))* -> .
% 28.38/28.57 70[0:MRR:44.0,1.0] || greater(capability(skc3,skc4),capability(skc3,u)) greater_or_equal(position(skc3,skc4),position(skc3,u)) -> has_immunity(skc3,u) smaller(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,u))*.
% 28.38/28.57 89[1:Spt:55.1] || -> equal(hazard_of_mortality(skc3,skc5),hazard_of_mortality(skc3,skc4))**.
% 28.38/28.57 98[1:Rew:89.0,32.0] || smaller(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc4))* -> .
% 28.38/28.57 124[0:Res:53.1,8.0] || -> equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4)) greater(internal_friction(skc3,skc5),internal_friction(skc3,skc4))*l.
% 28.38/28.57 128[0:Res:16.0,13.0] || -> SkP0(u,v,w)* equal(external_ties(w,v),external_ties(w,u)) greater(external_ties(w,v),external_ties(w,u)).
% 28.38/28.57 129[0:Res:18.1,13.0] || SkP0(skc5,skc4,skc3)* -> equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4)) greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5)).
% 28.38/28.57 130[0:MRR:129.0,14.1] || -> equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4)) greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r.
% 28.38/28.57 131[0:Res:14.1,20.0] || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5)) greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 137[2:Spt:124.0] || -> equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4))**.
% 28.38/28.57 138[2:Rew:137.0,31.0] || -> smaller_or_equal(internal_friction(skc3,skc4),internal_friction(skc3,skc4))*.
% 28.38/28.57 151[2:SpL:137.0,25.2] organization(skc3) || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc5)) equal(internal_friction(skc3,u),internal_friction(skc3,skc4))* -> equal(capability(skc3,u),capability(skc3,skc5)).
% 28.38/28.57 152[2:SSi:151.0,1.0] || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc5)) equal(internal_friction(skc3,u),internal_friction(skc3,skc4))* -> equal(capability(skc3,u),capability(skc3,skc5)).
% 28.38/28.57 159[3:Spt:130.0] || -> equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))**.
% 28.38/28.57 161[3:Rew:159.0,131.0] || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4)) greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 163[3:Rew:159.0,152.0] || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc4)) equal(internal_friction(skc3,u),internal_friction(skc3,skc4))* -> equal(capability(skc3,u),capability(skc3,skc5)).
% 28.38/28.57 197[0:Res:6.1,64.1] || greater(position(skc3,skc4),position(skc3,skc5))*r greater(capability(skc3,skc4),capability(skc3,skc5)) -> .
% 28.38/28.57 198[0:Res:7.1,64.1] || equal(position(skc3,skc5),position(skc3,skc4))** greater(capability(skc3,skc4),capability(skc3,skc5)) -> .
% 28.38/28.57 200[0:Res:7.1,63.0] || equal(capability(skc3,skc5),capability(skc3,skc4)) greater(position(skc3,skc4),position(skc3,skc5))*r -> .
% 28.38/28.57 230[0:Res:5.1,26.1] organization(u) || equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) greater(internal_friction(u,v),internal_friction(u,w)) -> smaller(capability(u,v),capability(u,w))*.
% 28.38/28.57 312[2:Res:138.0,27.2] organization(skc3) || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> greater(capability(skc3,skc4),capability(skc3,skc4)).
% 28.38/28.57 317[2:SSi:312.0,1.0] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> greater(capability(skc3,skc4),capability(skc3,skc4)).
% 28.38/28.57 348[1:Res:30.5,98.0] organization(skc3) || greater(capability(skc3,skc4),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> has_immunity(skc3,skc4) has_immunity(skc3,skc4).
% 28.38/28.57 352[1:Obv:348.3] organization(skc3) || greater(capability(skc3,skc4),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> has_immunity(skc3,skc4).
% 28.38/28.57 353[1:SSi:352.0,1.0] || greater(capability(skc3,skc4),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> has_immunity(skc3,skc4).
% 28.38/28.57 354[1:MRR:353.2,3.0] || greater(capability(skc3,skc4),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> .
% 28.38/28.57 365[1:Res:7.1,354.1] || equal(position(skc3,skc4),position(skc3,skc4))* greater(capability(skc3,skc4),capability(skc3,skc4)) -> .
% 28.38/28.57 366[1:Obv:365.0] || greater(capability(skc3,skc4),capability(skc3,skc4))* -> .
% 28.38/28.57 367[2:MRR:317.1,366.0] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> .
% 28.38/28.57 368[3:MRR:161.0,367.0] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 370[3:Res:368.0,23.1] organization(skc3) || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 28.38/28.57 377[3:SSi:370.0,1.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 28.38/28.57 378[3:MRR:63.1,377.0] || greater_or_equal(capability(skc3,skc4),capability(skc3,skc5))* -> .
% 28.38/28.57 383[3:Res:7.1,378.0] || equal(capability(skc3,skc5),capability(skc3,skc4))** -> .
% 28.38/28.57 694[3:EqR:163.1] || equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> equal(capability(skc3,skc5),capability(skc3,skc4)).
% 28.38/28.57 696[3:Obv:694.0] || -> equal(capability(skc3,skc5),capability(skc3,skc4))**.
% 28.38/28.57 697[3:MRR:696.0,383.0] || -> .
% 28.38/28.57 698[3:Spt:697.0,130.0,159.0] || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> .
% 28.38/28.57 699[3:Spt:697.0,130.1] || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r.
% 28.38/28.57 700[3:MRR:60.0,699.0] || -> greater(capability(skc3,skc4),capability(skc3,skc5))*r.
% 28.38/28.57 702[3:MRR:198.1,700.0] || equal(position(skc3,skc5),position(skc3,skc4))** -> .
% 28.38/28.57 704[3:MRR:197.1,700.0] || greater(position(skc3,skc4),position(skc3,skc5))*r -> .
% 28.38/28.57 712[4:Spt:18.0] || SkP0(skc5,skc4,skc3)* -> .
% 28.38/28.57 722[4:Res:128.0,712.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4)) greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 874[4:Res:722.1,38.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))** greater(position(skc3,skc4),position(skc3,skc5)).
% 28.38/28.57 887[4:MRR:874.1,704.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))**.
% 28.38/28.57 895[4:SpL:887.0,40.0] || equal(external_ties(skc3,u),external_ties(skc3,skc4))* -> equal(position(skc3,u),position(skc3,skc5)).
% 28.38/28.57 906[4:EqR:895.0] || -> equal(position(skc3,skc5),position(skc3,skc4))**.
% 28.38/28.57 908[4:MRR:906.0,702.0] || -> .
% 28.38/28.57 909[4:Spt:908.0,18.0,712.0] || -> SkP0(skc5,skc4,skc3)*.
% 28.38/28.57 910[4:Spt:908.0,18.1] || -> greater_or_equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*.
% 28.38/28.57 911[4:MRR:20.0,909.0] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 914[4:Res:911.0,23.1] organization(skc3) || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 28.38/28.57 929[4:SSi:914.0,1.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 28.38/28.57 930[4:MRR:929.0,704.0] || -> .
% 28.38/28.57 931[2:Spt:930.0,124.0,137.0] || equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4))** -> .
% 28.38/28.57 932[2:Spt:930.0,124.1] || -> greater(internal_friction(skc3,skc5),internal_friction(skc3,skc4))*l.
% 28.38/28.57 942[3:Spt:18.0] || SkP0(skc5,skc4,skc3)* -> .
% 28.38/28.57 947[3:Res:14.1,942.0] || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r.
% 28.38/28.57 952[3:Res:128.0,942.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4)) greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 953[3:MRR:60.0,947.0] || -> greater(capability(skc3,skc4),capability(skc3,skc5))*r.
% 28.38/28.57 955[3:MRR:198.1,953.0] || equal(position(skc3,skc5),position(skc3,skc4))** -> .
% 28.38/28.57 957[3:MRR:197.1,953.0] || greater(position(skc3,skc4),position(skc3,skc5))*r -> .
% 28.38/28.57 1121[0:Res:70.3,21.0] || greater(capability(skc3,skc4),capability(skc3,u)) greater_or_equal(position(skc3,skc4),position(skc3,u))* -> has_immunity(skc3,u) SkP0(u,skc4,skc3).
% 28.38/28.57 1134[3:Res:952.1,38.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))** greater(position(skc3,skc4),position(skc3,skc5)).
% 28.38/28.57 1147[3:MRR:1134.1,957.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))**.
% 28.38/28.57 1155[3:SpL:1147.0,40.0] || equal(external_ties(skc3,u),external_ties(skc3,skc4))* -> equal(position(skc3,u),position(skc3,skc5)).
% 28.38/28.57 1197[3:EqR:1155.0] || -> equal(position(skc3,skc5),position(skc3,skc4))**.
% 28.38/28.57 1199[3:MRR:1197.0,955.0] || -> .
% 28.38/28.57 1200[3:Spt:1199.0,18.0,942.0] || -> SkP0(skc5,skc4,skc3)*.
% 28.38/28.57 1201[3:Spt:1199.0,18.1] || -> greater_or_equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*.
% 28.38/28.57 1202[3:MRR:20.0,1200.0] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 1206[3:Res:1202.0,38.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 28.38/28.57 1216[3:MRR:197.0,1206.0] || greater(capability(skc3,skc4),capability(skc3,skc5))*r -> .
% 28.38/28.57 1217[3:MRR:60.1,1216.0] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r -> .
% 28.38/28.57 1218[3:MRR:130.1,1217.0] || -> equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))**.
% 28.38/28.57 1937[0:Res:230.3,8.0] organization(u) || equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) greater(internal_friction(u,v),internal_friction(u,w))* -> greater(capability(u,w),capability(u,v)).
% 28.38/28.57 2117[0:Res:15.0,35.1] || greater(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,v)) -> SkP0(v,u,skc3)* greater(capability(skc3,u),capability(skc3,v)).
% 28.38/28.57 2122[0:MRR:2117.0,14.0] || -> SkP0(u,v,skc3)* greater(capability(skc3,v),capability(skc3,u)).
% 28.38/28.57 2124[0:MRR:1121.0,2122.1] || greater_or_equal(position(skc3,skc4),position(skc3,u))* -> has_immunity(skc3,u) SkP0(u,skc4,skc3).
% 28.38/28.57 2130[0:Res:7.1,2124.0] || equal(position(skc3,skc4),position(skc3,u)) -> has_immunity(skc3,u) SkP0(u,skc4,skc3)*.
% 28.38/28.57 26808[0:Res:31.0,35.1] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 28.38/28.57 27034[2:Res:932.0,1937.2] organization(skc3) || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 28.38/28.57 27095[3:Rew:1218.0,27034.1] organization(skc3) || equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 28.38/28.57 27096[3:Obv:27095.1] organization(skc3) || -> greater(capability(skc3,skc4),capability(skc3,skc5))*r.
% 28.38/28.57 27097[3:SSi:27096.0,1.0] || -> greater(capability(skc3,skc4),capability(skc3,skc5))*r.
% 28.38/28.57 27098[3:MRR:27097.0,1216.0] || -> .
% 28.38/28.57 27113[1:Spt:27098.0,55.1,89.0] || equal(hazard_of_mortality(skc3,skc5),hazard_of_mortality(skc3,skc4))** -> .
% 28.38/28.57 27114[1:Spt:27098.0,55.0] || -> greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))*r.
% 28.38/28.57 27217[2:Spt:53.0] || -> equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4))**.
% 28.38/28.57 27239[2:SpL:27217.0,39.1] || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc5)) equal(internal_friction(skc3,u),internal_friction(skc3,skc4))* -> equal(capability(skc3,u),capability(skc3,skc5)).
% 28.38/28.57 27261[3:Spt:20.0] || SkP0(skc5,skc4,skc3)* -> .
% 28.38/28.57 27268[3:Res:2122.0,27261.0] || -> greater(capability(skc3,skc4),capability(skc3,skc5))*r.
% 28.38/28.57 27272[3:Res:128.0,27261.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4)) greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 28.38/28.57 27275[3:MRR:198.1,27268.0] || equal(position(skc3,skc5),position(skc3,skc4))** -> .
% 28.38/28.57 27276[3:MRR:197.1,27268.0] || greater(position(skc3,skc4),position(skc3,skc5))*r -> .
% 29.92/30.10 27702[4:Spt:27272.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))**.
% 29.92/30.10 27718[4:SpL:27702.0,40.0] || equal(external_ties(skc3,u),external_ties(skc3,skc4))* -> equal(position(skc3,u),position(skc3,skc5)).
% 29.92/30.10 27756[4:EqR:27718.0] || -> equal(position(skc3,skc5),position(skc3,skc4))**.
% 29.92/30.10 27758[4:MRR:27756.0,27275.0] || -> .
% 29.92/30.10 27759[4:Spt:27758.0,27272.0,27702.0] || equal(external_ties(skc3,skc5),external_ties(skc3,skc4))** -> .
% 29.92/30.10 27760[4:Spt:27758.0,27272.1] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 29.92/30.10 27766[4:Res:27760.0,23.1] organization(skc3) || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 29.92/30.10 27805[4:SSi:27766.0,1.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 29.92/30.10 27806[4:MRR:27805.0,27276.0] || -> .
% 29.92/30.10 27807[3:Spt:27806.0,20.0,27261.0] || -> SkP0(skc5,skc4,skc3)*.
% 29.92/30.10 27808[3:Spt:27806.0,20.1] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 29.92/30.10 27816[3:Res:27808.0,38.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 29.92/30.10 27850[3:MRR:200.1,27816.0] || equal(capability(skc3,skc5),capability(skc3,skc4))** -> .
% 29.92/30.10 27851[3:MRR:197.0,27816.0] || greater(capability(skc3,skc4),capability(skc3,skc5))*r -> .
% 29.92/30.10 27852[3:MRR:26808.1,27851.0] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r -> .
% 29.92/30.10 27853[3:MRR:130.1,27852.0] || -> equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))**.
% 29.92/30.10 27855[3:Rew:27853.0,27239.0] || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc4)) equal(internal_friction(skc3,u),internal_friction(skc3,skc4))* -> equal(capability(skc3,u),capability(skc3,skc5)).
% 29.92/30.10 29196[3:EqR:27855.1] || equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> equal(capability(skc3,skc5),capability(skc3,skc4)).
% 29.92/30.10 29198[3:Obv:29196.0] || -> equal(capability(skc3,skc5),capability(skc3,skc4))**.
% 29.92/30.10 29199[3:MRR:29198.0,27850.0] || -> .
% 29.92/30.10 29200[2:Spt:29199.0,53.0,27217.0] || equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4))** -> .
% 29.92/30.10 29201[2:Spt:29199.0,53.1] || -> smaller(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*.
% 29.92/30.10 29202[2:MRR:124.0,29200.0] || -> greater(internal_friction(skc3,skc5),internal_friction(skc3,skc4))*l.
% 29.92/30.10 29215[2:Res:29202.0,1937.2] organization(skc3) || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 29.92/30.10 29244[2:SSi:29215.0,1.0] || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> greater(capability(skc3,skc4),capability(skc3,skc5)).
% 29.92/30.10 29260[3:Spt:20.0] || SkP0(skc5,skc4,skc3)* -> .
% 29.92/30.10 29267[3:Res:2122.0,29260.0] || -> greater(capability(skc3,skc4),capability(skc3,skc5))*r.
% 29.92/30.10 29269[3:Res:2130.2,29260.0] || equal(position(skc3,skc5),position(skc3,skc4))** -> has_immunity(skc3,skc5).
% 29.92/30.10 29275[3:Res:128.0,29260.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4)) greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 29.92/30.10 29276[3:MRR:29269.1,2.0] || equal(position(skc3,skc5),position(skc3,skc4))** -> .
% 29.92/30.10 29279[3:MRR:197.1,29267.0] || greater(position(skc3,skc4),position(skc3,skc5))*r -> .
% 29.92/30.10 29410[4:Spt:29275.0] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))**.
% 29.92/30.10 29426[4:SpL:29410.0,40.0] || equal(external_ties(skc3,u),external_ties(skc3,skc4))* -> equal(position(skc3,u),position(skc3,skc5)).
% 29.92/30.10 29441[4:EqR:29426.0] || -> equal(position(skc3,skc5),position(skc3,skc4))**.
% 29.92/30.10 29443[4:MRR:29441.0,29276.0] || -> .
% 29.92/30.10 29444[4:Spt:29443.0,29275.0,29410.0] || equal(external_ties(skc3,skc5),external_ties(skc3,skc4))** -> .
% 29.92/30.10 29445[4:Spt:29443.0,29275.1] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 29.92/30.10 29451[4:Res:29445.0,23.1] organization(skc3) || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 29.92/30.10 29487[4:SSi:29451.0,1.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 29.92/30.10 29488[4:MRR:29487.0,29279.0] || -> .
% 29.92/30.10 29489[3:Spt:29488.0,20.0,29260.0] || -> SkP0(skc5,skc4,skc3)*.
% 29.92/30.10 29490[3:Spt:29488.0,20.1] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r.
% 29.92/30.10 29498[3:Res:29490.0,38.0] || -> greater(position(skc3,skc4),position(skc3,skc5))*r.
% 29.92/30.10 29534[3:MRR:197.0,29498.0] || greater(capability(skc3,skc4),capability(skc3,skc5))*r -> .
% 29.92/30.10 29535[3:MRR:29244.1,29534.0] || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> .
% 29.92/30.10 29536[3:MRR:26808.1,29534.0] || greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r -> .
% 29.92/30.10 29537[3:MRR:130.0,29535.0] || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r.
% 29.92/30.10 29538[3:MRR:29536.0,29537.0] || -> .
% 29.92/30.10 % SZS output end Refutation
% 29.92/30.10 Formulae used in the proof : lemma_1 definition_smaller_or_equal definition_greater_or_equal definition_smaller meaning_postulate_greater_comparable assumption_6 assumption_5 assumption_4
% 29.92/30.10
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