TSTP Solution File: MGT062-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sun Jul 17 22:26:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.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 11:29:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 179 clauses, backtracked 0 clauses, performed 1 splits and kept 105 clauses.
% 0.19/0.43 SPASS allocated 75786 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.01 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 5, length 67 :
% 0.19/0.43 % SZS output start Refutation
% 0.19/0.43 1[0:Inp] organization(u) || has_immunity(u,v)* -> has_endowment(u).
% 0.19/0.43 2[0:Inp] || dissimilar(u,v,w)* -> organization(u).
% 0.19/0.43 4[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)* -> .
% 0.19/0.43 6[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) dissimilar(u,v,w)*.
% 0.19/0.43 9[0:Inp] organization(u) || equal(age(u,v),zero)** -> is_aligned(u,v).
% 0.19/0.43 10[0:Inp] organization(u) || greater(age(u,v),sigma) equal(age(u,w),zero) -> dissimilar(u,w,v)*.
% 0.19/0.43 11[0:Inp] organization(u) || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 0.19/0.43 12[0:Inp] robust_position(u) || smaller_or_equal(age(u,v),tau)* positional_advantage(u,v) -> .
% 0.19/0.43 13[0:Inp] robust_position(u) || greater(age(u,v),tau)*l -> positional_advantage(u,v).
% 0.19/0.43 20[0:Inp] organization(u) || positional_advantage(u,v) -> is_aligned(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),mod1)**.
% 0.19/0.43 21[0:Inp] organization(u) || is_aligned(u,v) -> positional_advantage(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),mod2)**.
% 0.19/0.43 23[0:Inp] || -> greater(mod2,mod1)*l.
% 0.19/0.43 24[0:Inp] || -> organization(sk2)*.
% 0.19/0.43 25[0:Inp] || -> robust_position(sk2)*.
% 0.19/0.43 26[0:Inp] || has_endowment(sk2)* -> .
% 0.19/0.43 27[0:Inp] || -> equal(age(sk2,sk3),zero)**.
% 0.19/0.43 29[0:Inp] || -> greater(tau,zero)*l.
% 0.19/0.43 30[0:Inp] || -> equal(tau,sigma)**.
% 0.19/0.43 31[0:Inp] || -> smaller_or_equal(age(sk2,sk4),sigma)*.
% 0.19/0.43 32[0:Inp] || -> greater(age(sk2,sk5),sigma)*l.
% 0.19/0.43 33[0:Inp] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))* -> .
% 0.19/0.43 35[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 0.19/0.43 41[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 0.19/0.43 45[0:Rew:30.0,29.0] || -> greater(sigma,zero)*l.
% 0.19/0.43 47[0:Rew:30.0,12.1] robust_position(u) || positional_advantage(u,v) smaller_or_equal(age(u,v),sigma)* -> .
% 0.19/0.43 49[0:Rew:30.0,13.1] robust_position(u) || greater(age(u,v),sigma)*l -> positional_advantage(u,v).
% 0.19/0.43 51[0:MRR:11.0,2.1] || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 0.19/0.43 52[0:Res:25.0,49.0] || greater(age(sk2,u),sigma)*l -> positional_advantage(sk2,u).
% 0.19/0.43 53[0:Res:25.0,47.0] || positional_advantage(sk2,u) smaller_or_equal(age(sk2,u),sigma)* -> .
% 0.19/0.43 56[0:Res:24.0,20.0] || positional_advantage(sk2,u) -> has_immunity(sk2,u) is_aligned(sk2,u) equal(hazard_of_mortality(sk2,u),mod1)**.
% 0.19/0.43 57[0:Res:24.0,21.0] || is_aligned(sk2,u) -> has_immunity(sk2,u) positional_advantage(sk2,u) equal(hazard_of_mortality(sk2,u),mod2)**.
% 0.19/0.43 59[0:Res:24.0,6.0] || is_aligned(sk2,u) -> is_aligned(sk2,v) dissimilar(sk2,u,v)*.
% 0.19/0.43 61[0:Res:24.0,9.0] || equal(age(sk2,u),zero)** -> is_aligned(sk2,u).
% 0.19/0.43 63[0:Res:24.0,1.0] || has_immunity(sk2,u)* -> has_endowment(sk2).
% 0.19/0.43 69[0:Res:31.0,47.1] robust_position(sk2) || positional_advantage(sk2,sk4)* -> .
% 0.19/0.43 71[0:Res:27.0,51.0] || dissimilar(sk2,sk3,u)* -> greater(age(sk2,u),sigma).
% 0.19/0.43 73[0:Res:27.0,9.1] organization(sk2) || -> is_aligned(sk2,sk3)*.
% 0.19/0.43 80[0:Res:45.0,41.0] || -> smaller(zero,sigma)*.
% 0.19/0.43 83[0:Res:32.0,10.2] organization(sk2) || equal(age(sk2,u),zero) -> dissimilar(sk2,u,sk5)*.
% 0.19/0.43 100[0:MRR:63.1,26.0] || has_immunity(sk2,u)* -> .
% 0.19/0.43 101[0:MRR:73.0,24.0] || -> is_aligned(sk2,sk3)*.
% 0.19/0.43 103[0:MRR:69.0,25.0] || positional_advantage(sk2,sk4)* -> .
% 0.19/0.43 104[0:MRR:83.0,24.0] || equal(age(sk2,u),zero) -> dissimilar(sk2,u,sk5)*.
% 0.19/0.43 106[0:MRR:56.1,100.0] || positional_advantage(sk2,u) -> is_aligned(sk2,u) equal(hazard_of_mortality(sk2,u),mod1)**.
% 0.19/0.43 107[0:MRR:57.1,100.0] || is_aligned(sk2,u) -> positional_advantage(sk2,u) equal(hazard_of_mortality(sk2,u),mod2)**.
% 0.19/0.43 112[0:Res:80.0,35.0] || -> smaller_or_equal(zero,sigma)*.
% 0.19/0.43 118[0:SpL:27.0,53.1] || positional_advantage(sk2,sk3)* smaller_or_equal(zero,sigma) -> .
% 0.19/0.43 121[0:MRR:118.1,112.0] || positional_advantage(sk2,sk3)* -> .
% 0.19/0.43 161[0:Res:104.1,4.2] || equal(age(sk2,u),zero)** is_aligned(sk2,sk5) is_aligned(sk2,u) -> .
% 0.19/0.43 164[0:MRR:161.2,61.1] || equal(age(sk2,u),zero)** is_aligned(sk2,sk5) -> .
% 0.19/0.43 168[0:SpL:27.0,164.0] || equal(zero,zero) is_aligned(sk2,sk5)* -> .
% 0.19/0.43 169[0:Obv:168.0] || is_aligned(sk2,sk5)* -> .
% 0.19/0.43 214[0:Res:59.2,71.0] || is_aligned(sk2,sk3) -> is_aligned(sk2,u) greater(age(sk2,u),sigma)*l.
% 0.19/0.43 217[0:MRR:214.0,101.0] || -> is_aligned(sk2,u) greater(age(sk2,u),sigma)*l.
% 0.19/0.43 220[0:Res:217.1,52.0] || -> is_aligned(sk2,u) positional_advantage(sk2,u)*.
% 0.19/0.43 223[0:MRR:107.0,220.0] || -> positional_advantage(sk2,u) equal(hazard_of_mortality(sk2,u),mod2)**.
% 0.19/0.43 224[0:MRR:106.0,220.1] || -> is_aligned(sk2,u) equal(hazard_of_mortality(sk2,u),mod1)**.
% 0.19/0.43 239[0:SpL:223.1,33.1] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) smaller(hazard_of_mortality(sk2,sk5),mod2)* -> positional_advantage(sk2,sk4).
% 0.19/0.43 241[0:Rew:223.1,239.0] || equal(hazard_of_mortality(sk2,sk3),mod2) smaller(hazard_of_mortality(sk2,sk5),mod2)* -> positional_advantage(sk2,sk4).
% 0.19/0.43 242[0:MRR:241.2,103.0] || equal(hazard_of_mortality(sk2,sk3),mod2) smaller(hazard_of_mortality(sk2,sk5),mod2)* -> .
% 0.19/0.43 256[0:SpL:224.1,242.1] || equal(hazard_of_mortality(sk2,sk3),mod2)** smaller(mod1,mod2) -> is_aligned(sk2,sk5).
% 0.19/0.43 263[0:MRR:256.2,169.0] || equal(hazard_of_mortality(sk2,sk3),mod2)** smaller(mod1,mod2) -> .
% 0.19/0.43 265[0:SpL:223.1,263.0] || equal(mod2,mod2) smaller(mod1,mod2)* -> positional_advantage(sk2,sk3).
% 0.19/0.43 268[0:Obv:265.0] || smaller(mod1,mod2)* -> positional_advantage(sk2,sk3).
% 0.19/0.43 269[0:MRR:268.1,121.0] || smaller(mod1,mod2)* -> .
% 0.19/0.43 272[0:Res:41.1,269.0] || greater(mod2,mod1)*l -> .
% 0.19/0.43 273[0:MRR:272.0,23.0] || -> .
% 0.19/0.43 % SZS output end Refutation
% 0.19/0.43 Formulae used in the proof : assumption_1_39 definition_2_40 definition_2_42 definition_2_44 assumption_13_47 assumption_15_48 assumption_15_49 definition_4_50 definition_4_51 assumption_17_58 assumption_17_59 assumption_19_61 theorem_8_62 theorem_8_63 theorem_8_64 theorem_8_65 theorem_8_67 theorem_8_68 theorem_8_69 theorem_8_70 theorem_8_71 definition_smaller_or_equal_2 definition_smaller_8
% 0.19/0.43
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