TSTP Solution File: MGT043+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 14.45s 14.63s
% Output : Refutation 14.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.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 : Thu Jun 9 11:44:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 14.45/14.63
% 14.45/14.63 SPASS V 3.9
% 14.45/14.63 SPASS beiseite: Proof found.
% 14.45/14.63 % SZS status Theorem
% 14.45/14.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.45/14.63 SPASS derived 21018 clauses, backtracked 1820 clauses, performed 9 splits and kept 6525 clauses.
% 14.45/14.63 SPASS allocated 115170 KBytes.
% 14.45/14.63 SPASS spent 0:0:12.88 on the problem.
% 14.45/14.63 0:00:00.04 for the input.
% 14.45/14.63 0:00:00.03 for the FLOTTER CNF translation.
% 14.45/14.63 0:00:00.38 for inferences.
% 14.45/14.63 0:00:00.11 for the backtracking.
% 14.45/14.63 0:0:12.28 for the reduction.
% 14.45/14.63
% 14.45/14.63
% 14.45/14.63 Here is a proof with depth 4, length 30 :
% 14.45/14.63 % SZS output start Refutation
% 14.45/14.63 1[0:Inp] || -> organization(skc3)*.
% 14.45/14.63 2[0:Inp] || has_immunity(skc3,skc5)* -> .
% 14.45/14.63 3[0:Inp] || has_immunity(skc3,skc4)* -> .
% 14.45/14.63 4[0:Inp] || -> equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))**.
% 14.45/14.63 5[0:Inp] || -> greater(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*r.
% 14.45/14.63 6[0:Inp] || -> equal(external_ties(skc3,skc5),external_ties(skc3,skc4))**.
% 14.45/14.63 8[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*.
% 14.45/14.63 10[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*.
% 14.45/14.63 11[0:Inp] || smaller(u,v)* -> greater(v,u).
% 14.45/14.63 13[0:Inp] || greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))*r -> .
% 14.45/14.63 20[0:Inp] organization(u) || equal(external_ties(u,v),external_ties(u,w))* -> equal(position(u,v),position(u,w)).
% 14.45/14.63 22[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)).
% 14.45/14.63 26[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))*.
% 14.45/14.63 35[0:Res:26.4,3.0] organization(skc3) || greater_or_equal(position(skc3,u),position(skc3,skc4)) greater(capability(skc3,u),capability(skc3,skc4)) -> smaller(hazard_of_mortality(skc3,u),hazard_of_mortality(skc3,skc4))* has_immunity(skc3,u).
% 14.45/14.63 49[0:Res:6.0,20.1] organization(skc3) || -> equal(position(skc3,skc5),position(skc3,skc4))**.
% 14.45/14.63 57[0:MRR:49.0,1.0] || -> equal(position(skc3,skc5),position(skc3,skc4))**.
% 14.45/14.63 73[0:MRR:35.0,1.0] || greater(capability(skc3,u),capability(skc3,skc4)) greater_or_equal(position(skc3,u),position(skc3,skc4)) -> has_immunity(skc3,u) smaller(hazard_of_mortality(skc3,u),hazard_of_mortality(skc3,skc4))*.
% 14.45/14.63 250[0:Res:8.1,22.1] 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))*.
% 14.45/14.63 2463[0:Res:73.3,11.0] || greater(capability(skc3,u),capability(skc3,skc4)) greater_or_equal(position(skc3,u),position(skc3,skc4))* -> has_immunity(skc3,u) greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,u)).
% 14.45/14.63 4249[0:Res:250.3,11.0] 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)).
% 14.45/14.63 16434[0:SpL:57.0,2463.1] || greater(capability(skc3,skc5),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> has_immunity(skc3,skc5) greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5)).
% 14.45/14.63 17612[0:MRR:16434.2,2.0] || greater(capability(skc3,skc5),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5)).
% 14.45/14.63 17613[0:MRR:17612.2,13.0] || greater(capability(skc3,skc5),capability(skc3,skc4)) greater_or_equal(position(skc3,skc4),position(skc3,skc4))* -> .
% 14.45/14.63 17905[0:Res:10.1,17613.1] || equal(position(skc3,skc4),position(skc3,skc4))* greater(capability(skc3,skc5),capability(skc3,skc4)) -> .
% 14.45/14.63 17906[0:Obv:17905.0] || greater(capability(skc3,skc5),capability(skc3,skc4))*l -> .
% 14.45/14.63 23946[0:Res:5.0,4249.2] organization(skc3) || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> greater(capability(skc3,skc5),capability(skc3,skc4)).
% 14.45/14.63 23989[0:Rew:4.0,23946.1] organization(skc3) || equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc4))* -> greater(capability(skc3,skc5),capability(skc3,skc4)).
% 14.45/14.63 23990[0:Obv:23989.1] organization(skc3) || -> greater(capability(skc3,skc5),capability(skc3,skc4))*l.
% 14.45/14.63 23991[0:SSi:23990.0,1.0] || -> greater(capability(skc3,skc5),capability(skc3,skc4))*l.
% 14.45/14.63 23992[0:MRR:23991.0,17906.0] || -> .
% 14.45/14.63 % SZS output end Refutation
% 14.45/14.63 Formulae used in the proof : lemma_2 definition_smaller_or_equal definition_greater_or_equal definition_smaller assumption_6 assumption_5 assumption_4
% 14.45/14.63
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