TSTP Solution File: MGT057-1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : MGT057-1 : 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 22:26:28 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
% 0.12/0.12 % Problem : MGT057-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 10:39:40 EDT 2022
% 0.13/0.35 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 196 clauses, backtracked 0 clauses, performed 1 splits and kept 85 clauses.
% 0.19/0.43 SPASS allocated 75804 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 4, length 30 :
% 0.19/0.43 % SZS output start Refutation
% 0.19/0.43 2[0:Inp] has_endowment(u) || smaller_or_equal(age(u,v),eta)* -> has_immunity(u,v).
% 0.19/0.43 3[0:Inp] has_endowment(u) || has_immunity(u,v) greater(age(u,v),eta)*l -> .
% 0.19/0.43 8[0:Inp] organization(u) || has_immunity(u,v) has_immunity(u,w) -> equal(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 0.19/0.43 9[0:Inp] organization(u) || has_immunity(u,v) -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 0.19/0.43 10[0:Inp] || -> organization(sk2)*.
% 0.19/0.43 11[0:Inp] || -> has_endowment(sk2)*.
% 0.19/0.43 12[0:Inp] || -> equal(age(sk2,sk3),zero)**.
% 0.19/0.43 13[0:Inp] || -> smaller_or_equal(age(sk2,sk4),eta)*.
% 0.19/0.43 14[0:Inp] || -> greater(age(sk2,sk5),eta)*l.
% 0.19/0.43 15[0:Inp] || -> greater(eta,zero)*r.
% 0.19/0.43 16[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 -> .
% 0.19/0.43 18[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 0.19/0.43 24[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 0.19/0.43 29[0:Res:11.0,2.0] || smaller_or_equal(age(sk2,u),eta)* -> has_immunity(sk2,u).
% 0.19/0.43 31[0:Res:10.0,9.0] || has_immunity(sk2,u) -> has_immunity(sk2,v) greater(hazard_of_mortality(sk2,v),hazard_of_mortality(sk2,u))*.
% 0.19/0.43 34[0:Res:10.0,8.0] || has_immunity(sk2,u) has_immunity(sk2,v) -> equal(hazard_of_mortality(sk2,v),hazard_of_mortality(sk2,u))*.
% 0.19/0.43 36[0:Res:13.0,2.1] has_endowment(sk2) || -> has_immunity(sk2,sk4)*.
% 0.19/0.43 44[0:Res:15.0,24.0] || -> smaller(zero,eta)*.
% 0.19/0.43 46[0:Res:14.0,3.1] has_endowment(sk2) || has_immunity(sk2,sk5)* -> .
% 0.19/0.43 55[0:MRR:36.0,11.0] || -> has_immunity(sk2,sk4)*.
% 0.19/0.43 56[0:MRR:46.0,11.0] || has_immunity(sk2,sk5)* -> .
% 0.19/0.43 60[0:Res:44.0,18.0] || -> smaller_or_equal(zero,eta)*.
% 0.19/0.43 62[0:SpL:12.0,29.0] || smaller_or_equal(zero,eta) -> has_immunity(sk2,sk3)*.
% 0.19/0.43 65[0:MRR:62.0,60.0] || -> has_immunity(sk2,sk3)*.
% 0.19/0.43 259[0:Res:31.2,16.1] || has_immunity(sk2,sk4) equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** -> has_immunity(sk2,sk5).
% 0.19/0.43 262[0:MRR:259.0,259.2,55.0,56.0] || equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))** -> .
% 0.19/0.43 263[0:SpL:34.2,262.0] || has_immunity(sk2,sk4) has_immunity(sk2,u) equal(hazard_of_mortality(sk2,u),hazard_of_mortality(sk2,sk3))* -> .
% 0.19/0.43 267[0:MRR:263.0,55.0] || has_immunity(sk2,u) equal(hazard_of_mortality(sk2,u),hazard_of_mortality(sk2,sk3))* -> .
% 0.19/0.43 268[0:EqR:267.1] || has_immunity(sk2,sk3)* -> .
% 0.19/0.43 277[0:MRR:268.0,65.0] || -> .
% 0.19/0.43 % SZS output end Refutation
% 0.19/0.43 Formulae used in the proof : definition_1_32 definition_1_33 assumption_2_38 assumption_3_39 theorem_6_40 theorem_6_41 theorem_6_42 theorem_6_43 theorem_6_44 theorem_6_45 theorem_6_46 definition_smaller_or_equal_2 definition_smaller_8
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