TSTP Solution File: MGT056+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Theorem 0.19s 0.47s
% 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
% 0.10/0.12 % Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 11:50:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 378 clauses, backtracked 26 clauses, performed 2 splits and kept 174 clauses.
% 0.19/0.47 SPASS allocated 97970 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.03 for the input.
% 0.19/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.01 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.03 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 4, length 44 :
% 0.19/0.47 % SZS output start Refutation
% 0.19/0.47 1[0:Inp] || -> has_endowment(skc4)*.
% 0.19/0.47 2[0:Inp] || -> organization(skc4)*.
% 0.19/0.47 3[0:Inp] || -> greater_or_equal(eta,sigma)*.
% 0.19/0.47 4[0:Inp] || -> greater(sigma,zero)*l.
% 0.19/0.47 5[0:Inp] || -> greater(age(skc4,skc7),eta)*l.
% 0.19/0.47 6[0:Inp] || -> smaller_or_equal(age(skc4,skc6),eta)*.
% 0.19/0.47 7[0:Inp] || -> equal(age(skc4,skc5),zero)**.
% 0.19/0.47 9[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 0.19/0.47 14[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 0.19/0.47 18[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 0.19/0.47 19[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 0.19/0.47 20[0:Inp] has_endowment(u) || smaller_or_equal(age(u,v),eta)* -> has_immunity(u,v).
% 0.19/0.47 21[0:Inp] has_endowment(u) || has_immunity(u,v) greater(age(u,v),eta)*l -> .
% 0.19/0.47 24[0:Inp] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5)) greater(hazard_of_mortality(skc4,skc7),hazard_of_mortality(skc4,skc6))*l -> .
% 0.19/0.47 27[0:Inp] organization(u) || has_immunity(u,v) -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 0.19/0.47 28[0:Inp] organization(u) || has_immunity(u,v) has_immunity(u,w) -> equal(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 0.19/0.47 29[0:Res:2.0,27.0] || has_immunity(skc4,u) -> has_immunity(skc4,v) greater(hazard_of_mortality(skc4,v),hazard_of_mortality(skc4,u))*.
% 0.19/0.47 32[0:Res:2.0,28.0] || has_immunity(skc4,u) has_immunity(skc4,v) -> equal(hazard_of_mortality(skc4,u),hazard_of_mortality(skc4,v))*.
% 0.19/0.47 36[0:Res:1.0,20.0] || smaller_or_equal(age(skc4,u),eta)* -> has_immunity(skc4,u).
% 0.19/0.47 38[0:Res:3.0,18.0] || -> equal(sigma,eta) greater(eta,sigma)*r.
% 0.19/0.47 43[0:Res:6.0,20.1] has_endowment(skc4) || -> has_immunity(skc4,skc6)*.
% 0.19/0.47 47[0:Res:4.0,14.0] || -> smaller(zero,sigma)*.
% 0.19/0.47 49[0:Res:5.0,21.2] has_endowment(skc4) || has_immunity(skc4,skc7)* -> .
% 0.19/0.47 58[0:MRR:43.0,1.0] || -> has_immunity(skc4,skc6)*.
% 0.19/0.47 59[0:MRR:49.0,1.0] || has_immunity(skc4,skc7)* -> .
% 0.19/0.47 62[1:Spt:38.0] || -> equal(sigma,eta)**.
% 0.19/0.47 63[1:Rew:62.0,47.0] || -> smaller(zero,eta)*.
% 0.19/0.47 70[1:Res:63.0,9.0] || -> smaller_or_equal(zero,eta)*.
% 0.19/0.47 72[0:SpL:7.0,36.0] || smaller_or_equal(zero,eta) -> has_immunity(skc4,skc5)*.
% 0.19/0.47 75[1:MRR:72.0,70.0] || -> has_immunity(skc4,skc5)*.
% 0.19/0.47 79[0:Res:14.1,9.0] || greater(u,v) -> smaller_or_equal(v,u)*.
% 0.19/0.47 85[0:Res:79.1,36.0] || greater(eta,age(skc4,u))*r -> has_immunity(skc4,u).
% 0.19/0.47 91[0:SpL:7.0,85.0] || greater(eta,zero) -> has_immunity(skc4,skc5)*.
% 0.19/0.47 423[0:Res:29.2,24.1] || has_immunity(skc4,skc6) equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5))** -> has_immunity(skc4,skc7).
% 0.19/0.47 430[0:MRR:423.0,423.2,58.0,59.0] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5))** -> .
% 0.19/0.47 431[0:SpL:32.2,430.0] || has_immunity(skc4,u) has_immunity(skc4,skc6) equal(hazard_of_mortality(skc4,u),hazard_of_mortality(skc4,skc5))* -> .
% 0.19/0.47 435[0:MRR:431.1,58.0] || has_immunity(skc4,u) equal(hazard_of_mortality(skc4,u),hazard_of_mortality(skc4,skc5))* -> .
% 0.19/0.47 436[0:EqR:435.1] || has_immunity(skc4,skc5)* -> .
% 0.19/0.47 445[1:MRR:436.0,75.0] || -> .
% 0.19/0.47 455[1:Spt:445.0,38.0,62.0] || equal(sigma,eta)** -> .
% 0.19/0.47 456[1:Spt:445.0,38.1] || -> greater(eta,sigma)*r.
% 0.19/0.47 460[0:MRR:91.1,436.0] || greater(eta,zero)*r -> .
% 0.19/0.47 479[1:OCh:19.1,19.0,4.0,456.0] || -> greater(eta,zero)*r.
% 0.19/0.47 484[1:MRR:479.0,460.0] || -> .
% 0.19/0.47 % SZS output end Refutation
% 0.19/0.47 Formulae used in the proof : lemma_9 definition_smaller_or_equal definition_smaller definition_greater_or_equal meaning_postulate_greater_transitive definition_1 assumption_3 assumption_2
% 0.19/0.47
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