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 : n027.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 : Unsatisfiable 11.56s 11.74s
% Output : Refutation 11.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : MGT042-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11 % Command : run_spass %d %s
% 0.10/0.32 % Computer : n027.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Thu Jun 9 10:20:12 EDT 2022
% 0.10/0.32 % CPUTime :
% 11.56/11.74
% 11.56/11.74 SPASS V 3.9
% 11.56/11.74 SPASS beiseite: Proof found.
% 11.56/11.74 % SZS status Theorem
% 11.56/11.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.56/11.74 SPASS derived 13404 clauses, backtracked 193 clauses, performed 12 splits and kept 4580 clauses.
% 11.56/11.74 SPASS allocated 87387 KBytes.
% 11.56/11.74 SPASS spent 0:0:11.40 on the problem.
% 11.56/11.74 0:00:00.04 for the input.
% 11.56/11.74 0:00:00.00 for the FLOTTER CNF translation.
% 11.56/11.74 0:00:00.27 for inferences.
% 11.56/11.74 0:00:00.12 for the backtracking.
% 11.56/11.74 0:0:10.92 for the reduction.
% 11.56/11.74
% 11.56/11.74
% 11.56/11.74 Here is a proof with depth 4, length 91 :
% 11.56/11.74 % SZS output start Refutation
% 11.56/11.74 1[0:Inp] organization(u) || greater_or_equal(position(u,v),position(u,w)) greater(capability(u,v),capability(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 11.56/11.74 2[0:Inp] organization(u) || greater(position(u,v),position(u,w)) greater_or_equal(capability(u,v),capability(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 11.56/11.74 4[0:Inp] organization(u) || smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) -> greater(capability(u,v),capability(u,w)).
% 11.56/11.74 5[0:Inp] organization(u) || greater(internal_friction(u,v),internal_friction(u,w)) smaller_or_equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))* -> smaller(capability(u,v),capability(u,w)).
% 11.56/11.74 6[0:Inp] organization(u) || equal(internal_friction(u,v),internal_friction(u,w))* equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) -> equal(capability(u,v),capability(u,w)).
% 11.56/11.74 7[0:Inp] organization(u) || greater(external_ties(u,v),external_ties(u,w))* -> greater(position(u,v),position(u,w)).
% 11.56/11.74 8[0:Inp] organization(u) || equal(external_ties(u,v),external_ties(u,w))* -> equal(position(u,v),position(u,w)).
% 11.56/11.74 9[0:Inp] || -> organization(sk1)*.
% 11.56/11.74 10[0:Inp] || has_immunity(sk1,sk2)* -> .
% 11.56/11.74 11[0:Inp] || has_immunity(sk1,sk3)* -> .
% 11.56/11.74 12[0:Inp] || -> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*.
% 11.56/11.74 14[0:Inp] || -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*l greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)).
% 11.56/11.74 17[0:Inp] || -> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))* smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))*.
% 11.56/11.74 20[0:Inp] || -> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))* greater(external_ties(sk1,sk3),external_ties(sk1,sk2)).
% 11.56/11.74 27[0:Inp] || smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))* smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))* -> .
% 11.56/11.74 28[0:Inp] || smaller_or_equal(u,v)* -> equal(u,v) smaller(u,v).
% 11.56/11.74 30[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*.
% 11.56/11.74 31[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 11.56/11.74 32[0:Inp] || greater(u,v) -> greater_or_equal(u,v)*.
% 11.56/11.74 33[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*.
% 11.56/11.74 34[0:Inp] || smaller(u,v)* -> greater(v,u).
% 11.56/11.74 36[0:Inp] || greater(u,v)*+ greater(v,u)* -> .
% 11.56/11.74 39[0:Obv:17.0] || -> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))*.
% 11.56/11.74 40[0:Obv:27.0] || smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))* -> .
% 11.56/11.74 41[0:MRR:20.1,32.0] || -> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))*.
% 11.56/11.74 42[0:MRR:12.0,32.0] || -> greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*.
% 11.56/11.74 45[0:Res:9.0,4.0] || smaller_or_equal(internal_friction(sk1,u),internal_friction(sk1,v))* greater(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,v)) -> greater(capability(sk1,u),capability(sk1,v)).
% 11.56/11.74 48[0:Res:9.0,7.0] || greater(external_ties(sk1,u),external_ties(sk1,v))* -> greater(position(sk1,u),position(sk1,v)).
% 11.56/11.74 50[0:Res:9.0,8.0] || equal(external_ties(sk1,u),external_ties(sk1,v))* -> equal(position(sk1,u),position(sk1,v)).
% 11.56/11.74 63[0:Res:39.0,28.0] || -> equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))*.
% 11.56/11.74 64[0:Res:39.0,4.2] organization(sk1) || greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*l -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 11.56/11.74 65[0:Res:41.0,31.0] || -> equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*l.
% 11.56/11.74 66[0:Res:42.0,31.0] || -> equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*l.
% 11.56/11.74 70[0:Res:2.5,40.0] organization(sk1) || greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))* greater(position(sk1,sk3),position(sk1,sk2)) -> has_immunity(sk1,sk2) has_immunity(sk1,sk3).
% 11.56/11.74 71[0:Res:1.5,40.0] organization(sk1) || greater(capability(sk1,sk3),capability(sk1,sk2)) greater_or_equal(position(sk1,sk3),position(sk1,sk2))* -> has_immunity(sk1,sk2) has_immunity(sk1,sk3).
% 11.56/11.74 72[0:MRR:64.0,9.0] || greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*l -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 11.56/11.74 75[0:MRR:71.0,71.3,71.4,9.0,10.0,11.0] || greater_or_equal(position(sk1,sk3),position(sk1,sk2))* greater(capability(sk1,sk3),capability(sk1,sk2)) -> .
% 11.56/11.74 76[0:MRR:70.0,70.3,70.4,9.0,10.0,11.0] || greater(position(sk1,sk3),position(sk1,sk2)) greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))* -> .
% 11.56/11.74 94[1:Spt:66.0] || -> equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))**.
% 11.56/11.74 95[1:Rew:94.0,72.0] || greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))* -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 11.56/11.74 96[1:Rew:94.0,14.1] || -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*l greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)).
% 11.56/11.74 99[2:Spt:65.0] || -> equal(external_ties(sk1,sk3),external_ties(sk1,sk2))**.
% 11.56/11.74 100[2:Rew:99.0,96.0] || -> greater(external_ties(sk1,sk2),external_ties(sk1,sk2))* greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2)).
% 11.56/11.74 110[0:Res:63.1,34.0] || -> equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))*r.
% 11.56/11.74 112[2:SpL:99.0,50.0] || equal(external_ties(sk1,sk2),external_ties(sk1,u))* -> equal(position(sk1,sk3),position(sk1,u)).
% 11.56/11.74 114[2:EqR:112.0] || -> equal(position(sk1,sk3),position(sk1,sk2))**.
% 11.56/11.74 118[2:Rew:114.0,75.0] || greater_or_equal(position(sk1,sk2),position(sk1,sk2))* greater(capability(sk1,sk3),capability(sk1,sk2)) -> .
% 11.56/11.74 172[2:Res:33.1,118.0] || equal(position(sk1,sk2),position(sk1,sk2))* greater(capability(sk1,sk3),capability(sk1,sk2)) -> .
% 11.56/11.74 173[2:Obv:172.0] || greater(capability(sk1,sk3),capability(sk1,sk2))*l -> .
% 11.56/11.74 174[2:MRR:95.1,173.0] || greater(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))* -> .
% 11.56/11.74 175[2:MRR:100.1,174.0] || -> greater(external_ties(sk1,sk2),external_ties(sk1,sk2))*.
% 11.56/11.74 176[2:Res:175.0,36.0] || greater(external_ties(sk1,sk2),external_ties(sk1,sk2))* -> .
% 11.56/11.74 177[2:MRR:176.0,175.0] || -> .
% 11.56/11.74 178[2:Spt:177.0,65.0,99.0] || equal(external_ties(sk1,sk3),external_ties(sk1,sk2))** -> .
% 11.56/11.74 179[2:Spt:177.0,65.1] || -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*l.
% 11.56/11.74 186[0:Res:41.0,31.0] || -> equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*l.
% 11.56/11.74 191[3:Spt:63.0] || -> equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))**.
% 11.56/11.74 205[0:Res:32.1,76.1] || greater(capability(sk1,sk3),capability(sk1,sk2)) greater(position(sk1,sk3),position(sk1,sk2))*l -> .
% 11.56/11.74 206[0:Res:33.1,76.1] || equal(capability(sk1,sk3),capability(sk1,sk2)) greater(position(sk1,sk3),position(sk1,sk2))*l -> .
% 11.56/11.74 208[0:Res:33.1,75.0] || equal(position(sk1,sk3),position(sk1,sk2))** greater(capability(sk1,sk3),capability(sk1,sk2)) -> .
% 11.56/11.74 217[3:SpL:191.0,6.1] organization(sk1) || equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* equal(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,sk3)) -> equal(capability(sk1,u),capability(sk1,sk3)).
% 11.56/11.74 218[3:Rew:94.0,217.2] organization(sk1) || equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* equal(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,sk2)) -> equal(capability(sk1,u),capability(sk1,sk3)).
% 11.56/11.74 219[3:SSi:218.0,9.0] || equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* equal(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,sk2)) -> equal(capability(sk1,u),capability(sk1,sk3)).
% 11.84/12.04 248[2:Res:179.0,7.1] organization(sk1) || -> greater(position(sk1,sk3),position(sk1,sk2))*l.
% 11.84/12.04 263[2:SSi:248.0,9.0] || -> greater(position(sk1,sk3),position(sk1,sk2))*l.
% 11.84/12.04 265[2:MRR:206.1,263.0] || equal(capability(sk1,sk3),capability(sk1,sk2))** -> .
% 11.84/12.04 266[2:MRR:205.1,263.0] || greater(capability(sk1,sk3),capability(sk1,sk2))*l -> .
% 11.84/12.04 289[0:Res:30.1,5.2] 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))*.
% 11.84/12.04 533[3:EqR:219.0] || equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))* -> equal(capability(sk1,sk3),capability(sk1,sk2)).
% 11.84/12.04 535[3:Obv:533.0] || -> equal(capability(sk1,sk3),capability(sk1,sk2))**.
% 11.84/12.04 536[3:MRR:535.0,265.0] || -> .
% 11.84/12.04 537[3:Spt:536.0,63.0,191.0] || equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))** -> .
% 11.84/12.04 538[3:Spt:536.0,63.1] || -> smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))*.
% 11.84/12.04 539[3:MRR:110.0,537.0] || -> greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))*r.
% 11.84/12.04 1794[0:Res:289.3,34.0] 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)).
% 11.84/12.04 1827[0:Res:39.0,45.0] || greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*l -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 11.84/12.04 14369[3:Res:539.0,1794.2] organization(sk1) || equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))** -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 11.84/12.04 14442[3:Rew:94.0,14369.1] organization(sk1) || equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))* -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 11.84/12.04 14443[3:Obv:14442.1] organization(sk1) || -> greater(capability(sk1,sk3),capability(sk1,sk2))*l.
% 11.84/12.04 14444[3:SSi:14443.0,9.0] || -> greater(capability(sk1,sk3),capability(sk1,sk2))*l.
% 11.84/12.04 14445[3:MRR:14444.0,266.0] || -> .
% 11.84/12.04 14510[1:Spt:14445.0,66.0,94.0] || equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))** -> .
% 11.84/12.04 14511[1:Spt:14445.0,66.1] || -> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*l.
% 11.84/12.04 14514[1:MRR:1827.0,14511.0] || -> greater(capability(sk1,sk3),capability(sk1,sk2))*l.
% 11.84/12.04 14515[1:MRR:208.1,14514.0] || equal(position(sk1,sk3),position(sk1,sk2))** -> .
% 11.84/12.04 14517[1:MRR:205.0,14514.0] || greater(position(sk1,sk3),position(sk1,sk2))*l -> .
% 11.84/12.04 14736[0:Res:186.1,48.0] || -> equal(external_ties(sk1,sk3),external_ties(sk1,sk2))** greater(position(sk1,sk3),position(sk1,sk2)).
% 11.84/12.04 14768[1:MRR:14736.1,14517.0] || -> equal(external_ties(sk1,sk3),external_ties(sk1,sk2))**.
% 11.84/12.04 14775[1:SpL:14768.0,50.0] || equal(external_ties(sk1,u),external_ties(sk1,sk2))* -> equal(position(sk1,u),position(sk1,sk3)).
% 11.84/12.04 14790[1:EqR:14775.0] || -> equal(position(sk1,sk3),position(sk1,sk2))**.
% 11.84/12.04 14792[1:MRR:14790.0,14515.0] || -> .
% 11.84/12.04 % SZS output end Refutation
% 11.84/12.04 Formulae used in the proof : assumption_4_38 assumption_4_39 assumption_5_41 assumption_5_42 assumption_5_43 assumption_6_44 assumption_6_45 lemma_1_46 lemma_1_47 lemma_1_48 lemma_1_49 lemma_1_51 lemma_1_54 lemma_1_57 lemma_1_64 definition_smaller_or_equal_1 definition_smaller_or_equal_3 definition_greater_or_equal_4 definition_greater_or_equal_5 definition_greater_or_equal_6 definition_smaller_7 meaning_postulate_greater_strict_9
% 11.84/12.04
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