TSTP Solution File: MGT065-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT065-1 : 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 22:26:31 EDT 2022
% Result : Unsatisfiable 1.51s 1.70s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT065-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 08:25:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.51/1.70
% 1.51/1.70 SPASS V 3.9
% 1.51/1.70 SPASS beiseite: Proof found.
% 1.51/1.70 % SZS status Theorem
% 1.51/1.70 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.51/1.70 SPASS derived 9795 clauses, backtracked 654 clauses, performed 6 splits and kept 2788 clauses.
% 1.51/1.70 SPASS allocated 81454 KBytes.
% 1.51/1.70 SPASS spent 0:00:01.30 on the problem.
% 1.51/1.70 0:00:00.04 for the input.
% 1.51/1.70 0:00:00.00 for the FLOTTER CNF translation.
% 1.51/1.70 0:00:00.12 for inferences.
% 1.51/1.70 0:00:00.01 for the backtracking.
% 1.51/1.70 0:00:01.10 for the reduction.
% 1.51/1.70
% 1.51/1.70
% 1.51/1.70 Here is a proof with depth 3, length 66 :
% 1.51/1.70 % SZS output start Refutation
% 1.51/1.70 2[0:Inp] has_endowment(u) || smaller_or_equal(age(u,v),eta)* -> has_immunity(u,v).
% 1.51/1.70 3[0:Inp] has_endowment(u) || has_immunity(u,v) greater(age(u,v),eta)*l -> .
% 1.51/1.70 10[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)* -> .
% 1.51/1.70 15[0:Inp] organization(u) || equal(age(u,v),zero)** -> is_aligned(u,v).
% 1.51/1.70 16[0:Inp] organization(u) || greater(age(u,v),sigma) equal(age(u,w),zero) -> dissimilar(u,w,v)*.
% 1.51/1.70 18[0:Inp] organization(u) || has_immunity(u,v) -> equal(hazard_of_mortality(u,v),very_low)**.
% 1.51/1.70 20[0:Inp] organization(u) || positional_advantage(u,v) -> is_aligned(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),mod1)**.
% 1.51/1.70 22[0:Inp] organization(u) || -> positional_advantage(u,v) is_aligned(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),high)**.
% 1.51/1.70 24[0:Inp] || -> greater(mod1,low)*l.
% 1.51/1.70 25[0:Inp] || -> greater(low,very_low)*l.
% 1.51/1.70 26[0:Inp] || -> greater(high,mod2)*l.
% 1.51/1.70 27[0:Inp] || -> greater(mod2,low)*l.
% 1.51/1.70 28[0:Inp] || -> organization(sk2)*.
% 1.51/1.70 30[0:Inp] || -> has_endowment(sk2)*.
% 1.51/1.70 31[0:Inp] || -> equal(age(sk2,sk3),zero)**.
% 1.51/1.70 34[0:Inp] || -> greater(eta,zero)*r.
% 1.51/1.70 37[0:Inp] || -> smaller_or_equal(age(sk2,sk4),eta)*.
% 1.51/1.70 38[0:Inp] || -> greater(age(sk2,sk5),sigma)*l.
% 1.51/1.70 40[0:Inp] || -> greater(age(sk2,sk5),eta)*l.
% 1.51/1.70 41[0:Inp] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))*l -> .
% 1.51/1.70 43[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 1.51/1.70 49[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 1.51/1.70 51[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 1.51/1.70 55[0:Res:30.0,2.0] || smaller_or_equal(age(sk2,u),eta)* -> has_immunity(sk2,u).
% 1.51/1.70 67[0:Res:28.0,15.0] || equal(age(sk2,u),zero)** -> is_aligned(sk2,u).
% 1.51/1.70 68[0:Res:28.0,18.0] || has_immunity(sk2,u) -> equal(hazard_of_mortality(sk2,u),very_low)**.
% 1.51/1.70 69[0:Res:37.0,2.1] has_endowment(sk2) || -> has_immunity(sk2,sk4)*.
% 1.51/1.70 82[0:Res:34.0,49.0] || -> smaller(zero,eta)*.
% 1.51/1.70 92[0:Res:40.0,3.1] has_endowment(sk2) || has_immunity(sk2,sk5)* -> .
% 1.51/1.70 101[0:Res:38.0,16.2] organization(sk2) || equal(age(sk2,u),zero) -> dissimilar(sk2,u,sk5)*.
% 1.51/1.70 110[0:MRR:69.0,30.0] || -> has_immunity(sk2,sk4)*.
% 1.51/1.70 112[0:MRR:92.0,30.0] || has_immunity(sk2,sk5)* -> .
% 1.51/1.70 113[0:MRR:101.0,28.0] || equal(age(sk2,u),zero) -> dissimilar(sk2,u,sk5)*.
% 1.51/1.70 157[0:Res:82.0,43.0] || -> smaller_or_equal(zero,eta)*.
% 1.51/1.70 160[0:SpL:31.0,55.0] || smaller_or_equal(zero,eta) -> has_immunity(sk2,sk3)*.
% 1.51/1.70 163[0:MRR:160.0,157.0] || -> has_immunity(sk2,sk3)*.
% 1.51/1.70 195[0:Res:113.1,10.2] || equal(age(sk2,u),zero)** is_aligned(sk2,sk5) is_aligned(sk2,u) -> .
% 1.51/1.70 198[0:MRR:195.2,67.1] || equal(age(sk2,u),zero)** is_aligned(sk2,sk5) -> .
% 1.51/1.70 199[0:SpL:31.0,198.0] || equal(zero,zero) is_aligned(sk2,sk5)* -> .
% 1.51/1.70 201[0:Obv:199.0] || is_aligned(sk2,sk5)* -> .
% 1.51/1.70 417[0:SpL:20.4,41.1] organization(sk2) || positional_advantage(sk2,sk5) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(mod1,hazard_of_mortality(sk2,sk4))*r -> is_aligned(sk2,sk5) has_immunity(sk2,sk5).
% 1.51/1.70 419[0:SpL:22.4,41.1] organization(sk2) || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(high,hazard_of_mortality(sk2,sk4))*r -> positional_advantage(sk2,sk5) is_aligned(sk2,sk5) has_immunity(sk2,sk5).
% 1.51/1.70 946[0:CRe:51.0,27.0] || greater(low,u)*+ -> greater(mod2,u)*.
% 1.51/1.70 948[0:CRe:51.0,24.0] || greater(low,u)*+ -> greater(mod1,u)*.
% 1.51/1.70 950[0:CRe:51.0,26.0] || greater(mod2,u)*+ -> greater(high,u)*.
% 1.51/1.70 1077[0:Res:25.0,946.0] || -> greater(mod2,very_low)*l.
% 1.51/1.70 1142[0:Res:25.0,948.0] || -> greater(mod1,very_low)*l.
% 1.51/1.70 1177[0:Res:1077.0,950.0] || -> greater(high,very_low)*l.
% 1.51/1.70 9281[0:SSi:419.0,30.0,28.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(high,hazard_of_mortality(sk2,sk4))*r -> positional_advantage(sk2,sk5) is_aligned(sk2,sk5) has_immunity(sk2,sk5).
% 1.51/1.70 9282[0:MRR:9281.3,9281.4,201.0,112.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(high,hazard_of_mortality(sk2,sk4))*r -> positional_advantage(sk2,sk5).
% 1.51/1.70 9283[0:SSi:417.0,30.0,28.0] || positional_advantage(sk2,sk5) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(mod1,hazard_of_mortality(sk2,sk4))*r -> is_aligned(sk2,sk5) has_immunity(sk2,sk5).
% 1.51/1.70 9284[0:MRR:9283.3,9283.4,201.0,112.0] || positional_advantage(sk2,sk5) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(mod1,hazard_of_mortality(sk2,sk4))*r -> .
% 1.51/1.70 10173[0:SpL:68.1,9282.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** greater(high,very_low) -> positional_advantage(sk2,sk5).
% 1.51/1.70 10183[0:Rew:68.1,10173.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk3),very_low)** greater(high,very_low) -> positional_advantage(sk2,sk5).
% 1.51/1.70 10184[0:MRR:10183.0,10183.2,110.0,1177.0] || equal(hazard_of_mortality(sk2,sk3),very_low)** -> positional_advantage(sk2,sk5).
% 1.51/1.70 10190[0:SpL:68.1,10184.0] || has_immunity(sk2,sk3) equal(very_low,very_low) -> positional_advantage(sk2,sk5)*.
% 1.51/1.70 10196[0:Obv:10190.1] || has_immunity(sk2,sk3) -> positional_advantage(sk2,sk5)*.
% 1.51/1.70 10197[0:MRR:10196.0,163.0] || -> positional_advantage(sk2,sk5)*.
% 1.51/1.70 10198[0:MRR:9284.0,10197.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) greater(mod1,hazard_of_mortality(sk2,sk4))*r -> .
% 1.51/1.70 10207[0:SpL:68.1,10198.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** greater(mod1,very_low) -> .
% 1.51/1.70 10217[0:Rew:68.1,10207.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk3),very_low)** greater(mod1,very_low) -> .
% 1.51/1.70 10218[0:MRR:10217.0,10217.2,110.0,1142.0] || equal(hazard_of_mortality(sk2,sk3),very_low)** -> .
% 1.51/1.70 10229[0:SpL:18.2,10218.0] organization(sk2) || has_immunity(sk2,sk3)* equal(very_low,very_low) -> .
% 1.51/1.70 10232[0:Obv:10229.2] organization(sk2) || has_immunity(sk2,sk3)* -> .
% 1.51/1.70 10233[0:SSi:10232.0,30.0,28.0] || has_immunity(sk2,sk3)* -> .
% 1.51/1.70 10234[0:MRR:10233.0,163.0] || -> .
% 1.51/1.70 % SZS output end Refutation
% 1.51/1.70 Formulae used in the proof : definition_1_41 definition_1_42 definition_2_49 assumption_13_54 assumption_15_55 assumption_17_57 assumption_17_59 assumption_17_61 assumption_18b_63 assumption_18c_64 assumption_18d_65 assumption_18e_66 theorem_11_67 theorem_11_69 theorem_11_70 theorem_11_73 theorem_11_76 theorem_11_77 theorem_11_79 theorem_11_80 definition_smaller_or_equal_2 definition_smaller_8 meaning_postulate_greater_transitive_10
% 1.51/1.70
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