TSTP Solution File: MGT046-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT046-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 22:26:25 EDT 2022

% Result   : Unsatisfiable 0.87s 1.05s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT046-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun  9 08:02:52 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.87/1.05  
% 0.87/1.05  SPASS V 3.9 
% 0.87/1.05  SPASS beiseite: Proof found.
% 0.87/1.05  % SZS status Theorem
% 0.87/1.05  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.87/1.05  SPASS derived 2051 clauses, backtracked 0 clauses, performed 3 splits and kept 1082 clauses.
% 0.87/1.05  SPASS allocated 77576 KBytes.
% 0.87/1.05  SPASS spent	0:00:00.71 on the problem.
% 0.87/1.05  		0:00:00.02 for the input.
% 0.87/1.05  		0:00:00.00 for the FLOTTER CNF translation.
% 0.87/1.05  		0:00:00.04 for inferences.
% 0.87/1.05  		0:00:00.00 for the backtracking.
% 0.87/1.05  		0:00:00.62 for the reduction.
% 0.87/1.05  
% 0.87/1.05  
% 0.87/1.05  Here is a proof with depth 3, length 32 :
% 0.87/1.05  % SZS output start Refutation
% 0.87/1.05  1[0:Inp] organization(u) || has_immunity(u,v)* -> has_endowment(u).
% 0.87/1.05  3[0:Inp] organization(u) || greater(position(u,v),position(u,w)) greater_or_equal(capability(u,v),capability(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 0.87/1.05  5[0:Inp] organization(u) || smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) -> greater(capability(u,v),capability(u,w)).
% 0.87/1.05  8[0:Inp] organization(u) || greater(external_ties(u,v),external_ties(u,w))* -> greater(position(u,v),position(u,w)).
% 0.87/1.05  10[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)).
% 0.87/1.05  11[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(external_ties(u,v),external_ties(u,w)).
% 0.87/1.05  12[0:Inp] organization(u) ||  -> equal(internal_friction(u,v),internal_friction(u,w))*.
% 0.87/1.05  13[0:Inp] ||  -> organization(sk1)*.
% 0.87/1.05  14[0:Inp] || has_endowment(sk1)* -> .
% 0.87/1.05  15[0:Inp] ||  -> greater(age(sk1,sk3),age(sk1,sk2))*r.
% 0.87/1.05  16[0:Inp] || smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))* -> .
% 0.87/1.05  19[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*.
% 0.87/1.05  21[0:Inp] || greater(u,v) -> greater_or_equal(u,v)*.
% 0.87/1.05  39[0:Res:13.0,1.0] || has_immunity(sk1,u)* -> has_endowment(sk1).
% 0.87/1.05  43[0:Res:3.5,16.0] organization(sk1) || greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))* greater(position(sk1,sk3),position(sk1,sk2)) -> has_immunity(sk1,sk2) has_immunity(sk1,sk3).
% 0.87/1.05  50[0:Res:15.0,11.1] organization(sk1) ||  -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*r.
% 0.87/1.05  51[0:Res:15.0,10.1] organization(sk1) ||  -> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*r.
% 0.87/1.05  52[0:MRR:39.1,14.0] || has_immunity(sk1,u)* -> .
% 0.87/1.05  53[0:MRR:50.0,13.0] ||  -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*r.
% 0.87/1.05  54[0:MRR:51.0,13.0] ||  -> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*r.
% 0.87/1.05  57[0:MRR:43.0,43.3,43.4,13.0,52.0,52.0] || greater(position(sk1,sk3),position(sk1,sk2)) greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))* -> .
% 0.87/1.05  258[0:Res:21.1,57.1] || greater(capability(sk1,sk3),capability(sk1,sk2)) greater(position(sk1,sk3),position(sk1,sk2))*r -> .
% 0.87/1.05  263[0:Res:53.0,8.1] organization(sk1) ||  -> greater(position(sk1,sk3),position(sk1,sk2))*r.
% 0.87/1.05  275[0:SSi:263.0,13.0] ||  -> greater(position(sk1,sk3),position(sk1,sk2))*r.
% 0.87/1.05  278[0:MRR:258.1,275.0] || greater(capability(sk1,sk3),capability(sk1,sk2))*r -> .
% 0.87/1.05  347[0:SpL:12.1,5.1] organization(u) organization(u) || smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* greater(stock_of_knowledge(u,x),stock_of_knowledge(u,w))* -> greater(capability(u,x),capability(u,w)).
% 0.87/1.05  352[0:Obv:347.0] organization(u) || smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* greater(stock_of_knowledge(u,x),stock_of_knowledge(u,w))*+ -> greater(capability(u,x),capability(u,w)).
% 0.87/1.05  2329[0:Res:54.0,352.2] organization(sk1) || smaller_or_equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 0.87/1.05  2363[0:SSi:2329.0,13.0] || smaller_or_equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* -> greater(capability(sk1,sk3),capability(sk1,sk2)).
% 0.87/1.05  2364[0:MRR:2363.1,278.0] || smaller_or_equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* -> .
% 0.87/1.05  2374[0:Res:19.1,2364.0] || equal(internal_friction(sk1,u),internal_friction(sk1,sk2))* -> .
% 0.87/1.05  2375[0:Obv:2374.0] ||  -> .
% 0.87/1.05  % SZS output end Refutation
% 0.87/1.05  Formulae used in the proof : assumption_1_41 assumption_4_43 assumption_5_45 assumption_6_48 assumption_7_50 assumption_8_51 assumption_9_52 theorem_1_53 theorem_1_54 theorem_1_55 theorem_1_56 definition_smaller_or_equal_3 definition_greater_or_equal_5
% 0.87/1.05  
%------------------------------------------------------------------------------