TSTP Solution File: MGT057+1 by SPASS---3.9

View Problem - Process Solution

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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 : 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 22:26:29 EDT 2022

% Result   : Theorem 0.19s 0.44s
% 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
% 0.11/0.11  % Problem  : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.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 12:27:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 197 clauses, backtracked 0 clauses, performed 1 splits and kept 86 clauses.
% 0.19/0.44  SPASS allocated 97798 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.19/0.44  		0:00:00.03 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.01 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 4, length 30 :
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  1[0:Inp] ||  -> has_endowment(skc4)*.
% 0.19/0.44  2[0:Inp] ||  -> organization(skc4)*.
% 0.19/0.44  3[0:Inp] ||  -> greater(eta,zero)*r.
% 0.19/0.44  4[0:Inp] ||  -> greater(age(skc4,skc7),eta)*l.
% 0.19/0.44  5[0:Inp] ||  -> smaller_or_equal(age(skc4,skc6),eta)*.
% 0.19/0.44  6[0:Inp] ||  -> equal(age(skc4,skc5),zero)**.
% 0.19/0.44  8[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 0.19/0.44  13[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 0.19/0.44  19[0:Inp] has_endowment(u) || smaller_or_equal(age(u,v),eta)* -> has_immunity(u,v).
% 0.19/0.44  20[0:Inp] has_endowment(u) || has_immunity(u,v) greater(age(u,v),eta)*l -> .
% 0.19/0.44  23[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 -> .
% 0.19/0.44  26[0:Inp] organization(u) || has_immunity(u,v) -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 0.19/0.44  27[0:Inp] organization(u) || has_immunity(u,v) has_immunity(u,w) -> equal(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 0.19/0.44  28[0:Res:2.0,26.0] || has_immunity(skc4,u) -> has_immunity(skc4,v) greater(hazard_of_mortality(skc4,v),hazard_of_mortality(skc4,u))*.
% 0.19/0.44  31[0:Res:2.0,27.0] || has_immunity(skc4,u) has_immunity(skc4,v) -> equal(hazard_of_mortality(skc4,u),hazard_of_mortality(skc4,v))*.
% 0.19/0.44  35[0:Res:1.0,19.0] || smaller_or_equal(age(skc4,u),eta)* -> has_immunity(skc4,u).
% 0.19/0.44  41[0:Res:5.0,19.1] has_endowment(skc4) ||  -> has_immunity(skc4,skc6)*.
% 0.19/0.44  45[0:Res:3.0,13.0] ||  -> smaller(zero,eta)*.
% 0.19/0.44  47[0:Res:4.0,20.2] has_endowment(skc4) || has_immunity(skc4,skc7)* -> .
% 0.19/0.44  56[0:MRR:41.0,1.0] ||  -> has_immunity(skc4,skc6)*.
% 0.19/0.44  57[0:MRR:47.0,1.0] || has_immunity(skc4,skc7)* -> .
% 0.19/0.44  61[0:Res:45.0,8.0] ||  -> smaller_or_equal(zero,eta)*.
% 0.19/0.44  63[0:SpL:6.0,35.0] || smaller_or_equal(zero,eta) -> has_immunity(skc4,skc5)*.
% 0.19/0.44  66[0:MRR:63.0,61.0] ||  -> has_immunity(skc4,skc5)*.
% 0.19/0.44  237[0:Res:28.2,23.1] || has_immunity(skc4,skc6) equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5))** -> has_immunity(skc4,skc7).
% 0.19/0.44  254[0:MRR:237.0,237.2,56.0,57.0] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5))** -> .
% 0.19/0.44  263[0:SpL:31.2,254.0] || has_immunity(skc4,u) has_immunity(skc4,skc6) equal(hazard_of_mortality(skc4,u),hazard_of_mortality(skc4,skc5))* -> .
% 0.19/0.44  267[0:MRR:263.1,56.0] || has_immunity(skc4,u) equal(hazard_of_mortality(skc4,u),hazard_of_mortality(skc4,skc5))* -> .
% 0.19/0.44  268[0:EqR:267.1] || has_immunity(skc4,skc5)* -> .
% 0.19/0.44  277[0:MRR:268.0,66.0] ||  -> .
% 0.19/0.44  % SZS output end Refutation
% 0.19/0.44  Formulae used in the proof : theorem_6 definition_smaller_or_equal definition_smaller definition_1 assumption_3 assumption_2
% 0.19/0.44  
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