TSTP Solution File: MGT062+1 by SPASS---3.9

View Problem - Process Solution

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% 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 : n023.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   : Theorem 0.19s 0.46s
% 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
% 0.00/0.12  % Problem  : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 09:46:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  
% 0.19/0.46  SPASS V 3.9 
% 0.19/0.46  SPASS beiseite: Proof found.
% 0.19/0.46  % SZS status Theorem
% 0.19/0.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.46  SPASS derived 220 clauses, backtracked 11 clauses, performed 1 splits and kept 122 clauses.
% 0.19/0.46  SPASS allocated 97833 KBytes.
% 0.19/0.46  SPASS spent	0:00:00.10 on the problem.
% 0.19/0.46  		0:00:00.04 for the input.
% 0.19/0.46  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.46  		0:00:00.00 for inferences.
% 0.19/0.46  		0:00:00.00 for the backtracking.
% 0.19/0.46  		0:00:00.01 for the reduction.
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  Here is a proof with depth 5, length 67 :
% 0.19/0.46  % SZS output start Refutation
% 0.19/0.46  1[0:Inp] ||  -> robust_position(skc4)*.
% 0.19/0.46  2[0:Inp] ||  -> organization(skc4)*.
% 0.19/0.46  3[0:Inp] || has_endowment(skc4)* -> .
% 0.19/0.46  5[0:Inp] ||  -> greater(tau,zero)*l.
% 0.19/0.46  6[0:Inp] ||  -> equal(tau,sigma)**.
% 0.19/0.46  7[0:Inp] ||  -> greater(mod2,mod1)*l.
% 0.19/0.46  8[0:Inp] ||  -> greater(age(skc4,skc7),sigma)*l.
% 0.19/0.46  9[0:Inp] ||  -> smaller_or_equal(age(skc4,skc6),sigma)*.
% 0.19/0.46  10[0:Inp] ||  -> equal(age(skc4,skc5),zero)**.
% 0.19/0.46  11[0:Inp] || dissimilar(u,v,w)* -> organization(u).
% 0.19/0.46  12[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 0.19/0.46  17[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 0.19/0.46  19[0:Inp] organization(u) || has_immunity(u,v)* -> has_endowment(u).
% 0.19/0.46  26[0:Inp] organization(u) || equal(age(u,v),zero)** -> is_aligned(u,v).
% 0.19/0.46  27[0:Inp] robust_position(u) || greater(age(u,v),tau)*l -> positional_advantage(u,v).
% 0.19/0.46  30[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)* -> .
% 0.19/0.46  31[0:Inp] robust_position(u) || positional_advantage(u,v) smaller_or_equal(age(u,v),tau)* -> .
% 0.19/0.46  33[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) dissimilar(u,v,w)*.
% 0.19/0.46  36[0:Inp] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5)) smaller(hazard_of_mortality(skc4,skc7),hazard_of_mortality(skc4,skc6))* -> .
% 0.19/0.46  38[0:Inp] organization(u) || positional_advantage(u,v) -> has_immunity(u,v) is_aligned(u,v) equal(hazard_of_mortality(u,v),mod1)**.
% 0.19/0.46  39[0:Inp] organization(u) || is_aligned(u,v) -> has_immunity(u,v) positional_advantage(u,v) equal(hazard_of_mortality(u,v),mod2)**.
% 0.19/0.46  40[0:Inp] organization(u) || greater(age(u,v),sigma) equal(age(u,w),zero) -> dissimilar(u,w,v)*.
% 0.19/0.46  41[0:Inp] organization(u) || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 0.19/0.46  43[0:Rew:6.0,5.0] ||  -> greater(sigma,zero)*l.
% 0.19/0.46  45[0:Rew:6.0,31.2] robust_position(u) || positional_advantage(u,v) smaller_or_equal(age(u,v),sigma)* -> .
% 0.19/0.46  47[0:Rew:6.0,27.1] robust_position(u) || greater(age(u,v),sigma)*l -> positional_advantage(u,v).
% 0.19/0.46  49[0:MRR:41.0,11.1] || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 0.19/0.46  52[0:Res:2.0,38.0] || positional_advantage(skc4,u) -> is_aligned(skc4,u) equal(hazard_of_mortality(skc4,u),mod1)** has_immunity(skc4,u).
% 0.19/0.46  53[0:Res:2.0,39.0] || is_aligned(skc4,u) -> positional_advantage(skc4,u) equal(hazard_of_mortality(skc4,u),mod2)** has_immunity(skc4,u).
% 0.19/0.46  55[0:Res:2.0,33.0] || is_aligned(skc4,u) -> is_aligned(skc4,v) dissimilar(skc4,u,v)*.
% 0.19/0.46  57[0:Res:2.0,26.0] || equal(age(skc4,u),zero)** -> is_aligned(skc4,u).
% 0.19/0.46  59[0:Res:2.0,19.0] || has_immunity(skc4,u)* -> has_endowment(skc4).
% 0.19/0.46  60[0:Res:1.0,47.0] || greater(age(skc4,u),sigma)*l -> positional_advantage(skc4,u).
% 0.19/0.46  61[0:Res:1.0,45.0] || positional_advantage(skc4,u) smaller_or_equal(age(skc4,u),sigma)* -> .
% 0.19/0.46  67[0:Res:10.0,49.0] || dissimilar(skc4,skc5,u)* -> greater(age(skc4,u),sigma).
% 0.19/0.46  69[0:Res:10.0,26.1] organization(skc4) ||  -> is_aligned(skc4,skc5)*.
% 0.19/0.46  74[0:Res:9.0,45.2] robust_position(skc4) || positional_advantage(skc4,skc6)* -> .
% 0.19/0.46  78[0:Res:43.0,17.0] ||  -> smaller(zero,sigma)*.
% 0.19/0.46  81[0:Res:8.0,40.2] organization(skc4) || equal(age(skc4,u),zero) -> dissimilar(skc4,u,skc7)*.
% 0.19/0.46  98[0:MRR:59.1,3.0] || has_immunity(skc4,u)* -> .
% 0.19/0.46  99[0:MRR:69.0,2.0] ||  -> is_aligned(skc4,skc5)*.
% 0.19/0.46  101[0:MRR:74.0,1.0] || positional_advantage(skc4,skc6)* -> .
% 0.19/0.46  102[0:MRR:81.0,2.0] || equal(age(skc4,u),zero) -> dissimilar(skc4,u,skc7)*.
% 0.19/0.46  104[0:MRR:52.3,98.0] || positional_advantage(skc4,u) -> is_aligned(skc4,u) equal(hazard_of_mortality(skc4,u),mod1)**.
% 0.19/0.46  105[0:MRR:53.3,98.0] || is_aligned(skc4,u) -> positional_advantage(skc4,u) equal(hazard_of_mortality(skc4,u),mod2)**.
% 0.19/0.46  110[0:Res:78.0,12.0] ||  -> smaller_or_equal(zero,sigma)*.
% 0.19/0.46  116[0:SpL:10.0,61.1] || positional_advantage(skc4,skc5)* smaller_or_equal(zero,sigma) -> .
% 0.19/0.46  119[0:MRR:116.1,110.0] || positional_advantage(skc4,skc5)* -> .
% 0.19/0.46  158[0:Res:102.1,30.2] || equal(age(skc4,u),zero)** is_aligned(skc4,skc7) is_aligned(skc4,u) -> .
% 0.19/0.46  161[0:MRR:158.2,57.1] || equal(age(skc4,u),zero)** is_aligned(skc4,skc7) -> .
% 0.19/0.46  162[0:SpL:10.0,161.0] || equal(zero,zero) is_aligned(skc4,skc7)* -> .
% 0.19/0.46  163[0:Obv:162.0] || is_aligned(skc4,skc7)* -> .
% 0.19/0.46  211[0:Res:55.2,67.0] || is_aligned(skc4,skc5) -> is_aligned(skc4,u) greater(age(skc4,u),sigma)*l.
% 0.19/0.46  214[0:MRR:211.0,99.0] ||  -> is_aligned(skc4,u) greater(age(skc4,u),sigma)*l.
% 0.19/0.46  235[0:Res:214.1,60.0] ||  -> is_aligned(skc4,u) positional_advantage(skc4,u)*.
% 0.19/0.46  238[0:MRR:105.0,235.0] ||  -> positional_advantage(skc4,u) equal(hazard_of_mortality(skc4,u),mod2)**.
% 0.19/0.46  239[0:MRR:104.0,235.1] ||  -> is_aligned(skc4,u) equal(hazard_of_mortality(skc4,u),mod1)**.
% 0.19/0.46  249[0:SpL:238.1,36.1] || equal(hazard_of_mortality(skc4,skc6),hazard_of_mortality(skc4,skc5)) smaller(hazard_of_mortality(skc4,skc7),mod2)* -> positional_advantage(skc4,skc6).
% 0.19/0.46  251[0:Rew:238.1,249.0] || equal(hazard_of_mortality(skc4,skc5),mod2) smaller(hazard_of_mortality(skc4,skc7),mod2)* -> positional_advantage(skc4,skc6).
% 0.19/0.46  283[0:MRR:251.2,101.0] || equal(hazard_of_mortality(skc4,skc5),mod2) smaller(hazard_of_mortality(skc4,skc7),mod2)* -> .
% 0.19/0.46  290[0:SpL:239.1,283.1] || equal(hazard_of_mortality(skc4,skc5),mod2)** smaller(mod1,mod2) -> is_aligned(skc4,skc7).
% 0.19/0.46  297[0:MRR:290.2,163.0] || equal(hazard_of_mortality(skc4,skc5),mod2)** smaller(mod1,mod2) -> .
% 0.19/0.46  314[0:SpL:238.1,297.0] || equal(mod2,mod2) smaller(mod1,mod2)* -> positional_advantage(skc4,skc5).
% 0.19/0.46  317[0:Obv:314.0] || smaller(mod1,mod2)* -> positional_advantage(skc4,skc5).
% 0.19/0.46  318[0:MRR:317.1,119.0] || smaller(mod1,mod2)* -> .
% 0.19/0.46  321[0:Res:17.1,318.0] || greater(mod2,mod1)*l -> .
% 0.19/0.46  322[0:MRR:321.0,7.0] ||  -> .
% 0.19/0.46  % SZS output end Refutation
% 0.19/0.46  Formulae used in the proof : theorem_8 assumption_19 definition_2 definition_smaller_or_equal definition_smaller assumption_1 assumption_13 definition_4 assumption_17 assumption_15
% 0.19/0.46  
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