TSTP Solution File: MGT039-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT039-1 : 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 22:26:22 EDT 2022

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.09  % Command  : run_spass %d %s
% 0.09/0.28  % Computer : n028.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Thu Jun  9 10:02:17 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.36  
% 0.13/0.36  SPASS V 3.9 
% 0.13/0.36  SPASS beiseite: Proof found.
% 0.13/0.36  % SZS status Theorem
% 0.13/0.36  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.13/0.36  SPASS derived 108 clauses, backtracked 0 clauses, performed 0 splits and kept 89 clauses.
% 0.13/0.36  SPASS allocated 75787 KBytes.
% 0.13/0.36  SPASS spent	0:00:00.06 on the problem.
% 0.13/0.36  		0:00:00.03 for the input.
% 0.13/0.36  		0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.36  		0:00:00.00 for inferences.
% 0.13/0.36  		0:00:00.00 for the backtracking.
% 0.13/0.36  		0:00:00.01 for the reduction.
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  Here is a proof with depth 8, length 59 :
% 0.13/0.36  % SZS output start Refutation
% 0.13/0.36  1[0:Inp] observational_period(u) || propagation_strategy(first_movers) propagation_strategy(efficient_producers) -> environment(sk1(u)) selection_favors(efficient_producers,first_movers,u)*.
% 0.13/0.36  2[0:Inp] observational_period(u) || propagation_strategy(first_movers) propagation_strategy(efficient_producers) -> in_environment(u,sk1(u))* selection_favors(efficient_producers,first_movers,u)*.
% 0.13/0.36  3[0:Inp] observational_period(u) || propagation_strategy(first_movers) propagation_strategy(efficient_producers) selection_favors(efficient_producers,first_movers,end_time(sk1(u)))* -> selection_favors(efficient_producers,first_movers,u).
% 0.13/0.36  4[0:Inp] environment(u) slow_change(v) observational_period(v) || in_environment(v,u) -> in_environment(u,sk2(u,v))*.
% 0.13/0.36  5[0:Inp] environment(u) slow_change(v) observational_period(v) || in_environment(v,u) -> greater(sk2(u,v),critical_point(u))*l.
% 0.13/0.36  6[0:Inp] ||  -> propagation_strategy(first_movers)*.
% 0.13/0.36  7[0:Inp] ||  -> propagation_strategy(efficient_producers)*.
% 0.13/0.36  8[0:Inp] environment(u) || greater_or_equal(v,start_time(u))*+ greater_or_equal(end_time(u),v)* -> in_environment(u,v).
% 0.13/0.36  9[0:Inp] environment(u) || in_environment(u,v) -> greater_or_equal(end_time(u),v)*.
% 0.13/0.36  10[0:Inp] environment(u) ||  -> greater_or_equal(critical_point(u),start_time(u))*.
% 0.13/0.36  11[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 0.13/0.36  12[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 0.13/0.36  13[0:Inp] || greater(u,v) -> greater_or_equal(u,v)*.
% 0.13/0.36  14[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*.
% 0.13/0.36  16[0:Inp] environment(u) || in_environment(u,v)* greater(v,critical_point(u))+ -> selection_favors(efficient_producers,first_movers,v)*.
% 0.13/0.36  17[0:Inp] ||  -> observational_period(sk3)*.
% 0.13/0.36  18[0:Inp] ||  -> slow_change(sk3)*.
% 0.13/0.36  19[0:Inp] || selection_favors(efficient_producers,first_movers,sk3)* -> .
% 0.13/0.36  20[0:MRR:1.1,1.2,6.0,7.0] observational_period(u) ||  -> environment(sk1(u)) selection_favors(efficient_producers,first_movers,u)*.
% 0.13/0.36  21[0:MRR:2.1,2.2,6.0,7.0] observational_period(u) ||  -> in_environment(u,sk1(u))* selection_favors(efficient_producers,first_movers,u)*.
% 0.13/0.36  22[0:MRR:3.1,3.2,6.0,7.0] observational_period(u) || selection_favors(efficient_producers,first_movers,end_time(sk1(u)))* -> selection_favors(efficient_producers,first_movers,u).
% 0.13/0.36  24[0:Res:18.0,4.1] observational_period(sk3) environment(u) || in_environment(sk3,u) -> in_environment(u,sk2(u,sk3))*.
% 0.13/0.36  25[0:Res:17.0,5.0] slow_change(sk3) environment(u) || in_environment(sk3,u) -> greater(sk2(u,sk3),critical_point(u))*l.
% 0.13/0.36  30[0:Res:22.2,19.0] observational_period(sk3) || selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))* -> .
% 0.13/0.36  31[0:Res:21.2,19.0] observational_period(sk3) ||  -> in_environment(sk3,sk1(sk3))*.
% 0.13/0.36  32[0:Res:20.2,19.0] observational_period(sk3) ||  -> environment(sk1(sk3))*.
% 0.13/0.36  34[0:MRR:32.0,17.0] ||  -> environment(sk1(sk3))*.
% 0.13/0.36  35[0:MRR:31.0,17.0] ||  -> in_environment(sk3,sk1(sk3))*.
% 0.13/0.36  36[0:MRR:30.0,17.0] || selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))* -> .
% 0.13/0.36  37[0:MRR:24.0,17.0] environment(u) || in_environment(sk3,u) -> in_environment(u,sk2(u,sk3))*.
% 0.13/0.36  38[0:MRR:25.0,18.0] environment(u) || in_environment(sk3,u) -> greater(sk2(u,sk3),critical_point(u))*l.
% 0.13/0.36  45[0:Res:9.2,12.0] environment(u) || in_environment(u,v)* -> equal(end_time(u),v) greater(end_time(u),v).
% 0.13/0.36  46[0:Res:10.1,12.0] environment(u) ||  -> equal(start_time(u),critical_point(u)) greater(critical_point(u),start_time(u))*r.
% 0.13/0.36  48[0:Res:14.1,8.1] environment(u) || equal(v,start_time(u)) greater_or_equal(end_time(u),v)* -> in_environment(u,v).
% 0.13/0.36  49[0:Res:9.2,8.1] environment(u) environment(v) || in_environment(u,start_time(v)) greater_or_equal(end_time(v),end_time(u))* -> in_environment(v,end_time(u)).
% 0.13/0.36  55[0:Res:13.1,48.2] environment(u) || greater(end_time(u),v) equal(v,start_time(u)) -> in_environment(u,v)*.
% 0.13/0.36  73[0:Res:37.2,45.1] environment(u) environment(u) || in_environment(sk3,u) -> equal(sk2(u,sk3),end_time(u)) greater(end_time(u),sk2(u,sk3))*r.
% 0.13/0.36  77[0:Obv:73.0] environment(u) || in_environment(sk3,u) -> equal(sk2(u,sk3),end_time(u)) greater(end_time(u),sk2(u,sk3))*r.
% 0.13/0.36  97[0:Res:14.1,49.3] environment(u) environment(v) || equal(end_time(v),end_time(u))+ in_environment(u,start_time(v))* -> in_environment(v,end_time(u))*.
% 0.13/0.36  101[0:EqR:97.2] environment(u) environment(u) || in_environment(u,start_time(u))* -> in_environment(u,end_time(u)).
% 0.13/0.36  102[0:Obv:101.0] environment(u) || in_environment(u,start_time(u))* -> in_environment(u,end_time(u)).
% 0.13/0.36  104[0:Res:55.3,102.1] environment(u) environment(u) || greater(end_time(u),start_time(u)) equal(start_time(u),start_time(u)) -> in_environment(u,end_time(u))*.
% 0.13/0.36  107[0:Obv:104.3] environment(u) || greater(end_time(u),start_time(u)) -> in_environment(u,end_time(u))*.
% 0.13/0.36  121[0:OCh:11.1,11.0,77.3,38.2] environment(u) environment(u) || in_environment(sk3,u) in_environment(sk3,u) -> equal(sk2(u,sk3),end_time(u))** greater(end_time(u),critical_point(u)).
% 0.13/0.36  123[0:Obv:121.2] environment(u) || in_environment(sk3,u) -> equal(sk2(u,sk3),end_time(u))** greater(end_time(u),critical_point(u)).
% 0.13/0.36  126[0:SpR:123.2,38.2] environment(u) environment(u) || in_environment(sk3,u)* in_environment(sk3,u)* -> greater(end_time(u),critical_point(u)) greater(end_time(u),critical_point(u)).
% 0.13/0.36  136[0:Obv:126.4] environment(u) || in_environment(sk3,u)* -> greater(end_time(u),critical_point(u)).
% 0.13/0.36  140[0:Res:35.0,136.1] environment(sk1(sk3)) ||  -> greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))*r.
% 0.13/0.36  150[0:SSi:140.0,34.0] ||  -> greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))*r.
% 0.13/0.36  156[0:Res:150.0,16.2] environment(sk1(sk3)) || in_environment(sk1(sk3),end_time(sk1(sk3))) -> selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))*.
% 0.13/0.36  159[0:SSi:156.0,34.0] || in_environment(sk1(sk3),end_time(sk1(sk3))) -> selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))*.
% 0.13/0.36  160[0:MRR:159.1,36.0] || in_environment(sk1(sk3),end_time(sk1(sk3)))* -> .
% 0.13/0.36  166[0:Res:107.2,160.0] environment(sk1(sk3)) || greater(end_time(sk1(sk3)),start_time(sk1(sk3)))*r -> .
% 0.13/0.36  169[0:SSi:166.0,34.0] || greater(end_time(sk1(sk3)),start_time(sk1(sk3)))*r -> .
% 0.13/0.36  172[0:NCh:11.2,11.1,169.0,46.2] environment(sk1(sk3)) || greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) -> equal(start_time(sk1(sk3)),critical_point(sk1(sk3)))**.
% 0.13/0.36  175[0:SSi:172.0,34.0] || greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) -> equal(start_time(sk1(sk3)),critical_point(sk1(sk3)))**.
% 0.13/0.36  176[0:MRR:175.0,150.0] ||  -> equal(start_time(sk1(sk3)),critical_point(sk1(sk3)))**.
% 0.13/0.36  178[0:Rew:176.0,169.0] || greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))*r -> .
% 0.13/0.36  179[0:MRR:178.0,150.0] ||  -> .
% 0.13/0.36  % SZS output end Refutation
% 0.13/0.36  Formulae used in the proof : mp3_favoured_trategy_20 mp3_favoured_trategy_21 mp3_favoured_trategy_22 mp4_critical_point_23 mp4_critical_point_24 mp_organizational_sets1_25 mp_organizational_sets2_26 mp_time_in_environment_27 mp_environment_end_point_28 mp_time_of_critical_point_29 mp_greater_transitivity_30 mp_greater_or_equal_31 mp_greater_or_equal_32 mp_greater_or_equal_33 l8_35 prove_t8_36 prove_t8_37 prove_t8_38
% 0.13/0.36  
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