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 v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% 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 : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 12:32:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 225 clauses, backtracked 9 clauses, performed 2 splits and kept 117 clauses.
% 0.18/0.47 SPASS allocated 97837 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.47 0:00:00.04 for the input.
% 0.18/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.01 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.02 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 5, length 47 :
% 0.18/0.47 % SZS output start Refutation
% 0.18/0.47 1[0:Inp] || -> environment(skc3)*.
% 0.18/0.47 2[0:Inp] || -> subpopulations(first_movers,efficient_producers,skc3,skc2)*.
% 0.18/0.47 3[0:Inp] || greater(disbanding_rate(first_movers,skc2),disbanding_rate(efficient_producers,skc2))*r -> .
% 0.18/0.47 4[0:Inp] environment(u) || -> greater_or_equal(initial_FM_EP(u),start_time(u))*.
% 0.18/0.47 5[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 0.18/0.47 7[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)* -> in_environment(u,v).
% 0.18/0.47 8[0:Inp] environment(u) || -> greater(disbanding_rate(first_movers,initial_FM_EP(u)),disbanding_rate(efficient_producers,initial_FM_EP(u)))*r.
% 0.18/0.47 9[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)* -> greater_or_equal(v,initial_FM_EP(u)).
% 0.18/0.47 10[0:Inp] environment(u) || in_environment(u,initial_FM_EP(u)) -> subpopulations(first_movers,efficient_producers,u,initial_FM_EP(u))*.
% 0.18/0.47 11[0:Inp] environment(u) || decreases(difference(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v)))*+ subpopulations(first_movers,efficient_producers,u,v)* -> .
% 0.18/0.47 12[0:Inp] environment(u) || greater(v,w)*+ in_environment(u,v)* greater_or_equal(w,start_time(u))* -> in_environment(u,w).
% 0.18/0.47 13[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)*.
% 0.18/0.47 14[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)).
% 0.18/0.47 18[0:Res:1.0,11.0] || decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))* subpopulations(first_movers,efficient_producers,skc3,u) -> .
% 0.18/0.47 19[0:Res:1.0,8.0] || -> greater(disbanding_rate(first_movers,initial_FM_EP(skc3)),disbanding_rate(efficient_producers,initial_FM_EP(skc3)))*r.
% 0.18/0.47 20[0:Res:1.0,10.0] || in_environment(skc3,initial_FM_EP(skc3)) -> subpopulations(first_movers,efficient_producers,skc3,initial_FM_EP(skc3))*.
% 0.18/0.47 21[0:Res:1.0,9.0] || subpopulations(first_movers,efficient_producers,skc3,u)* -> greater_or_equal(u,initial_FM_EP(skc3)).
% 0.18/0.47 26[0:Res:2.0,9.1] environment(skc3) || -> greater_or_equal(skc2,initial_FM_EP(skc3))*.
% 0.18/0.47 27[0:Res:2.0,7.1] environment(skc3) || -> in_environment(skc3,skc2)*.
% 0.18/0.47 28[0:Res:2.0,13.2] environment(skc3) || subpopulations(first_movers,efficient_producers,skc3,u)* greater_or_equal(v,u)* greater_or_equal(skc2,v) -> subpopulations(first_movers,efficient_producers,skc3,v)*.
% 0.18/0.47 29[0:Res:2.0,14.4] environment(skc3) || greater_or_equal(u,v)* greater(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v))*r greater_or_equal(skc2,u) -> decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))* greater(disbanding_rate(first_movers,skc2),disbanding_rate(efficient_producers,skc2)).
% 0.18/0.47 30[0:MRR:27.0,1.0] || -> in_environment(skc3,skc2)*.
% 0.18/0.47 31[0:MRR:26.0,1.0] || -> greater_or_equal(skc2,initial_FM_EP(skc3))*.
% 0.18/0.47 33[0:MRR:28.0,1.0] || greater_or_equal(u,v)* greater_or_equal(skc2,u) subpopulations(first_movers,efficient_producers,skc3,v)*+ -> subpopulations(first_movers,efficient_producers,skc3,u)*.
% 0.18/0.47 35[0:MRR:29.0,29.5,1.0,3.0] || greater_or_equal(u,v)* greater_or_equal(skc2,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)))*.
% 0.18/0.47 46[0:Res:10.2,9.1] environment(u) environment(u) || in_environment(u,initial_FM_EP(u)) -> greater_or_equal(initial_FM_EP(u),initial_FM_EP(u))*.
% 0.18/0.47 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))*.
% 0.18/0.47 49[0:Res:31.0,5.0] || -> equal(initial_FM_EP(skc3),skc2) greater(skc2,initial_FM_EP(skc3))*r.
% 0.18/0.47 54[1:Spt:49.0] || -> equal(initial_FM_EP(skc3),skc2)**.
% 0.18/0.47 60[1:Rew:54.0,19.0] || -> greater(disbanding_rate(first_movers,skc2),disbanding_rate(efficient_producers,skc2))*r.
% 0.18/0.47 64[1:MRR:60.0,3.0] || -> .
% 0.18/0.47 66[1:Spt:64.0,49.0,54.0] || equal(initial_FM_EP(skc3),skc2)** -> .
% 0.18/0.47 67[1:Spt:64.0,49.1] || -> greater(skc2,initial_FM_EP(skc3))*r.
% 0.18/0.47 79[1:Res:67.0,12.1] environment(u) || in_environment(u,skc2) greater_or_equal(initial_FM_EP(skc3),start_time(u))* -> in_environment(u,initial_FM_EP(skc3)).
% 0.18/0.47 93[1:Res:4.1,79.2] environment(skc3) environment(skc3) || in_environment(skc3,skc2) -> in_environment(skc3,initial_FM_EP(skc3))*.
% 0.18/0.47 94[1:Obv:93.0] environment(skc3) || in_environment(skc3,skc2) -> in_environment(skc3,initial_FM_EP(skc3))*.
% 0.18/0.47 95[1:SSi:94.0,1.0] || in_environment(skc3,skc2) -> in_environment(skc3,initial_FM_EP(skc3))*.
% 0.18/0.47 96[1:MRR:95.0,30.0] || -> in_environment(skc3,initial_FM_EP(skc3))*.
% 0.18/0.47 97[1:MRR:20.0,96.0] || -> subpopulations(first_movers,efficient_producers,skc3,initial_FM_EP(skc3))*.
% 0.18/0.47 112[1:Res:97.0,33.2] || greater_or_equal(u,initial_FM_EP(skc3)) greater_or_equal(skc2,u) -> subpopulations(first_movers,efficient_producers,skc3,u)*.
% 0.18/0.47 265[0:Res:19.0,35.2] || greater_or_equal(u,initial_FM_EP(skc3)) greater_or_equal(skc2,u) -> decreases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))*.
% 0.18/0.47 273[0:Res:265.2,18.0] || greater_or_equal(u,initial_FM_EP(skc3)) greater_or_equal(skc2,u) subpopulations(first_movers,efficient_producers,skc3,u)* -> .
% 0.18/0.47 276[0:MRR:273.0,21.1] || greater_or_equal(skc2,u) subpopulations(first_movers,efficient_producers,skc3,u)* -> .
% 0.18/0.47 279[1:MRR:112.2,276.1] || greater_or_equal(u,initial_FM_EP(skc3))* greater_or_equal(skc2,u) -> .
% 0.18/0.47 284[1:Res:48.2,279.0] environment(skc3) || in_environment(skc3,initial_FM_EP(skc3)) greater_or_equal(skc2,initial_FM_EP(skc3))* -> .
% 0.18/0.47 288[1:SSi:284.0,1.0] || in_environment(skc3,initial_FM_EP(skc3)) greater_or_equal(skc2,initial_FM_EP(skc3))* -> .
% 0.18/0.47 289[1:MRR:288.0,288.1,96.0,31.0] || -> .
% 0.18/0.47 % SZS output end Refutation
% 0.18/0.47 Formulae used in the proof : prove_l2 mp_initial_time mp_greater_or_equal mp_time_point_occurs a8 mp_earliest_time_point l3 mp_times_in_order a10 mp_positive_function_difference
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