TSTP Solution File: MGT020-1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : MGT020-1 : 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 22:26:13 EDT 2022
% Result : Unsatisfiable 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.22 % Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.22 % Command : run_spass %d %s
% 0.10/0.41 % Computer : n023.cluster.edu
% 0.10/0.41 % Model : x86_64 x86_64
% 0.10/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41 % Memory : 8042.1875MB
% 0.10/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.41 % CPULimit : 300
% 0.10/0.41 % WCLimit : 600
% 0.10/0.41 % DateTime : Thu Jun 9 12:33:23 EDT 2022
% 0.10/0.41 % CPUTime :
% 0.15/0.51
% 0.15/0.51 SPASS V 3.9
% 0.15/0.51 SPASS beiseite: Proof found.
% 0.15/0.51 % SZS status Theorem
% 0.15/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.51 SPASS derived 225 clauses, backtracked 9 clauses, performed 2 splits and kept 117 clauses.
% 0.15/0.51 SPASS allocated 75864 KBytes.
% 0.15/0.51 SPASS spent 0:00:00.09 on the problem.
% 0.15/0.51 0:00:00.03 for the input.
% 0.15/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.51 0:00:00.01 for inferences.
% 0.15/0.51 0:00:00.00 for the backtracking.
% 0.15/0.51 0:00:00.02 for the reduction.
% 0.15/0.51
% 0.15/0.51
% 0.15/0.51 Here is a proof with depth 5, length 47 :
% 0.15/0.51 % SZS output start Refutation
% 0.15/0.51 1[0:Inp] environment(u) || decreases(difference(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v)))*+ subpopulations(first_movers,efficient_producers,u,v)* -> .
% 0.15/0.51 2[0:Inp] environment(u) || in_environment(u,initial_FM_EP(u)) -> subpopulations(first_movers,efficient_producers,u,initial_FM_EP(u))*.
% 0.15/0.51 3[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)* -> greater_or_equal(v,initial_FM_EP(u)).
% 0.15/0.51 4[0:Inp] environment(u) || greater_or_equal(v,w)* greater_or_equal(w,x)* greater(disbanding_rate(first_movers,x),disbanding_rate(efficient_producers,x))*r+ subpopulations(first_movers,efficient_producers,u,v)* -> decreases(difference(disbanding_rate(first_movers,w),disbanding_rate(efficient_producers,w)))* greater(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v)).
% 0.15/0.51 5[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)* -> in_environment(u,v).
% 0.15/0.51 6[0:Inp] environment(u) || -> greater_or_equal(initial_FM_EP(u),start_time(u))*.
% 0.15/0.51 7[0:Inp] environment(u) || in_environment(u,v)* greater(v,w)*+ greater_or_equal(w,start_time(u))* -> in_environment(u,w).
% 0.15/0.51 9[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 0.15/0.51 10[0:Inp] environment(u) || -> greater(disbanding_rate(first_movers,initial_FM_EP(u)),disbanding_rate(efficient_producers,initial_FM_EP(u)))*r.
% 0.15/0.51 11[0:Inp] environment(u) || greater_or_equal(v,w)* greater_or_equal(w,x)* subpopulations(first_movers,efficient_producers,u,v)*+ subpopulations(first_movers,efficient_producers,u,x)* -> subpopulations(first_movers,efficient_producers,u,w)*.
% 0.15/0.51 12[0:Inp] || -> environment(sk1)*.
% 0.15/0.51 13[0:Inp] || -> subpopulations(first_movers,efficient_producers,sk1,sk2)*.
% 0.15/0.51 14[0:Inp] || greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))*r -> .
% 0.15/0.51 18[0:Res:12.0,1.0] || decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))* subpopulations(first_movers,efficient_producers,sk1,u) -> .
% 0.15/0.51 19[0:Res:12.0,10.0] || -> greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))*r.
% 0.15/0.51 20[0:Res:12.0,2.0] || in_environment(sk1,initial_FM_EP(sk1)) -> subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))*.
% 0.15/0.51 21[0:Res:12.0,3.0] || subpopulations(first_movers,efficient_producers,sk1,u)* -> greater_or_equal(u,initial_FM_EP(sk1)).
% 0.15/0.51 26[0:Res:13.0,3.1] environment(sk1) || -> greater_or_equal(sk2,initial_FM_EP(sk1))*.
% 0.15/0.51 27[0:Res:13.0,5.1] environment(sk1) || -> in_environment(sk1,sk2)*.
% 0.15/0.51 28[0:Res:13.0,11.2] environment(sk1) || subpopulations(first_movers,efficient_producers,sk1,u)* greater_or_equal(v,u)* greater_or_equal(sk2,v) -> subpopulations(first_movers,efficient_producers,sk1,v)*.
% 0.15/0.51 29[0:Res:13.0,4.3] environment(sk1) || greater_or_equal(u,v)* greater_or_equal(sk2,u) greater(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v))*r -> decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))* greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)).
% 0.15/0.51 30[0:MRR:27.0,12.0] || -> in_environment(sk1,sk2)*.
% 0.15/0.51 31[0:MRR:26.0,12.0] || -> greater_or_equal(sk2,initial_FM_EP(sk1))*.
% 0.15/0.51 33[0:MRR:28.0,12.0] || greater_or_equal(u,v)* greater_or_equal(sk2,u) subpopulations(first_movers,efficient_producers,sk1,v)*+ -> subpopulations(first_movers,efficient_producers,sk1,u)*.
% 0.15/0.51 35[0:MRR:29.0,29.5,12.0,14.0] || greater_or_equal(u,v)* greater_or_equal(sk2,u) greater(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v))*r+ -> decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))*.
% 0.15/0.52 46[0:Res:2.2,3.1] environment(u) environment(u) || in_environment(u,initial_FM_EP(u)) -> greater_or_equal(initial_FM_EP(u),initial_FM_EP(u))*.
% 0.15/0.52 48[0:Obv:46.0] environment(u) || in_environment(u,initial_FM_EP(u)) -> greater_or_equal(initial_FM_EP(u),initial_FM_EP(u))*.
% 0.15/0.52 49[0:Res:31.0,9.0] || -> equal(initial_FM_EP(sk1),sk2) greater(sk2,initial_FM_EP(sk1))*r.
% 0.15/0.52 54[1:Spt:49.0] || -> equal(initial_FM_EP(sk1),sk2)**.
% 0.15/0.52 60[1:Rew:54.0,19.0] || -> greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))*r.
% 0.15/0.52 64[1:MRR:60.0,14.0] || -> .
% 0.15/0.52 66[1:Spt:64.0,49.0,54.0] || equal(initial_FM_EP(sk1),sk2)** -> .
% 0.15/0.52 67[1:Spt:64.0,49.1] || -> greater(sk2,initial_FM_EP(sk1))*r.
% 0.15/0.52 79[1:Res:67.0,7.2] environment(u) || in_environment(u,sk2) greater_or_equal(initial_FM_EP(sk1),start_time(u))* -> in_environment(u,initial_FM_EP(sk1)).
% 0.15/0.52 93[1:Res:6.1,79.2] environment(sk1) environment(sk1) || in_environment(sk1,sk2) -> in_environment(sk1,initial_FM_EP(sk1))*.
% 0.15/0.52 94[1:Obv:93.0] environment(sk1) || in_environment(sk1,sk2) -> in_environment(sk1,initial_FM_EP(sk1))*.
% 0.15/0.52 95[1:SSi:94.0,12.0] || in_environment(sk1,sk2) -> in_environment(sk1,initial_FM_EP(sk1))*.
% 0.15/0.52 96[1:MRR:95.0,30.0] || -> in_environment(sk1,initial_FM_EP(sk1))*.
% 0.15/0.52 97[1:MRR:20.0,96.0] || -> subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))*.
% 0.15/0.52 112[1:Res:97.0,33.2] || greater_or_equal(u,initial_FM_EP(sk1)) greater_or_equal(sk2,u) -> subpopulations(first_movers,efficient_producers,sk1,u)*.
% 0.15/0.52 265[0:Res:19.0,35.2] || greater_or_equal(u,initial_FM_EP(sk1)) greater_or_equal(sk2,u) -> decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))*.
% 0.15/0.52 273[0:Res:265.2,18.0] || greater_or_equal(u,initial_FM_EP(sk1)) greater_or_equal(sk2,u) subpopulations(first_movers,efficient_producers,sk1,u)* -> .
% 0.15/0.52 276[0:MRR:273.0,21.1] || greater_or_equal(sk2,u) subpopulations(first_movers,efficient_producers,sk1,u)* -> .
% 0.15/0.52 279[1:MRR:112.2,276.1] || greater_or_equal(u,initial_FM_EP(sk1))* greater_or_equal(sk2,u) -> .
% 0.15/0.52 284[1:Res:48.2,279.0] environment(sk1) || in_environment(sk1,initial_FM_EP(sk1)) greater_or_equal(sk2,initial_FM_EP(sk1))* -> .
% 0.15/0.52 288[1:SSi:284.0,12.0] || in_environment(sk1,initial_FM_EP(sk1)) greater_or_equal(sk2,initial_FM_EP(sk1))* -> .
% 0.15/0.52 289[1:MRR:288.0,288.1,96.0,31.0] || -> .
% 0.15/0.52 % SZS output end Refutation
% 0.15/0.52 Formulae used in the proof : l3_22 mp_earliest_time_point_23 mp_earliest_time_point_24 mp_positive_function_difference_25 mp_time_point_occurs_26 mp_initial_time_27 mp_times_in_order_28 mp_greater_or_equal_30 a8_31 a10_32 prove_l2_33 prove_l2_34 prove_l2_35
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