TSTP Solution File: MGT025+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 22:26:15 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 08:54:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 177 clauses, backtracked 79 clauses, performed 7 splits and kept 171 clauses.
% 0.18/0.46 SPASS allocated 97840 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.01 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.02 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 11, length 125 :
% 0.18/0.46 % SZS output start Refutation
% 0.18/0.46 1[0:Inp] || -> environment(skc3)*.
% 0.18/0.46 2[0:Inp] || -> constant(number_of_organizations(skc3,skc2))*.
% 0.18/0.46 3[0:Inp] || -> subpopulations(first_movers,efficient_producers,skc3,skc2)*.
% 0.18/0.46 4[0:Inp] || SkP0(u,v)* -> constant(v).
% 0.18/0.46 5[0:Inp] || SkP0(u,v)* -> constant(u).
% 0.18/0.46 6[0:Inp] || SkP1(u,v)* -> increases(v).
% 0.18/0.46 7[0:Inp] || SkP1(u,v)* -> decreases(u).
% 0.18/0.46 8[0:Inp] environment(u) || in_environment(u,v) -> subpopulation(first_movers,u,v)*.
% 0.18/0.46 9[0:Inp] environment(u) || in_environment(u,v) -> subpopulation(efficient_producers,u,v)*.
% 0.18/0.46 10[0:Inp] || greater(zero,growth_rate(first_movers,skc2)) greater(growth_rate(efficient_producers,skc2),zero)* -> .
% 0.18/0.46 11[0:Inp] || greater(zero,growth_rate(efficient_producers,skc2)) greater(growth_rate(first_movers,skc2),zero)* -> .
% 0.18/0.46 12[0:Inp] || equal(growth_rate(efficient_producers,skc2),zero) equal(growth_rate(first_movers,skc2),zero)** -> .
% 0.18/0.46 13[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)* -> in_environment(u,v).
% 0.18/0.46 14[0:Inp] || constant(sum__dfg(u,v))* -> decreases(u) SkP1(v,u) SkP0(v,u).
% 0.18/0.46 15[0:Inp] || constant(sum__dfg(u,v))* -> increases(v) SkP1(v,u) SkP0(v,u).
% 0.18/0.46 16[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)*+ -> greater(cardinality_at_time(first_movers,v),zero)*.
% 0.18/0.46 17[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)*+ -> greater(cardinality_at_time(efficient_producers,v),zero)*.
% 0.18/0.46 20[0:Inp] environment(u) || equal(v,efficient_producers) subpopulation(v,u,w)*+ -> equal(number_of_organizations(u,w),sum__dfg(cardinality_at_time(first_movers,w),cardinality_at_time(efficient_producers,w)))*.
% 0.18/0.46 22[0:Inp] environment(u) || decreases(cardinality_at_time(v,w)) in_environment(u,w) greater(cardinality_at_time(v,w),zero)*+ subpopulation(v,u,w)* -> greater(zero,growth_rate(v,w)).
% 0.18/0.46 23[0:Inp] environment(u) || increases(cardinality_at_time(v,w)) in_environment(u,w) greater(cardinality_at_time(v,w),zero)+ subpopulation(v,u,w)* -> greater(growth_rate(v,w),zero)*.
% 0.18/0.46 24[0:Inp] environment(u) || constant(cardinality_at_time(v,w)) in_environment(u,w) greater(cardinality_at_time(v,w),zero)*+ subpopulation(v,u,w)* -> equal(growth_rate(v,w),zero).
% 0.18/0.46 29[0:Res:1.0,20.0] || equal(u,efficient_producers) subpopulation(u,skc3,v)*+ -> equal(sum__dfg(cardinality_at_time(first_movers,v),cardinality_at_time(efficient_producers,v)),number_of_organizations(skc3,v))**.
% 0.18/0.46 36[0:Res:1.0,9.0] || in_environment(skc3,u) -> subpopulation(efficient_producers,skc3,u)*.
% 0.18/0.46 37[0:Res:3.0,16.1] environment(skc3) || -> greater(cardinality_at_time(first_movers,skc2),zero)*.
% 0.18/0.46 38[0:Res:3.0,17.1] environment(skc3) || -> greater(cardinality_at_time(efficient_producers,skc2),zero)*.
% 0.18/0.46 39[0:Res:3.0,13.1] environment(skc3) || -> in_environment(skc3,skc2)*.
% 0.18/0.46 40[0:MRR:39.0,1.0] || -> in_environment(skc3,skc2)*.
% 0.18/0.46 41[0:MRR:37.0,1.0] || -> greater(cardinality_at_time(first_movers,skc2),zero)*.
% 0.18/0.46 42[0:MRR:38.0,1.0] || -> greater(cardinality_at_time(efficient_producers,skc2),zero)*.
% 0.18/0.46 54[0:Res:36.1,29.1] || in_environment(skc3,u) equal(efficient_producers,efficient_producers) -> equal(sum__dfg(cardinality_at_time(first_movers,u),cardinality_at_time(efficient_producers,u)),number_of_organizations(skc3,u))**.
% 0.18/0.46 58[0:Obv:54.1] || in_environment(skc3,u) -> equal(sum__dfg(cardinality_at_time(first_movers,u),cardinality_at_time(efficient_producers,u)),number_of_organizations(skc3,u))**.
% 0.18/0.46 79[0:Res:9.2,20.2] environment(u) environment(u) || in_environment(u,v) equal(efficient_producers,efficient_producers) -> equal(number_of_organizations(u,v),sum__dfg(cardinality_at_time(first_movers,v),cardinality_at_time(efficient_producers,v)))*.
% 0.18/0.46 83[0:Obv:79.3] environment(u) || in_environment(u,v) -> equal(number_of_organizations(u,v),sum__dfg(cardinality_at_time(first_movers,v),cardinality_at_time(efficient_producers,v)))*.
% 0.18/0.46 86[0:SpR:83.2,58.1] environment(u) || in_environment(u,v) in_environment(skc3,v) -> equal(number_of_organizations(u,v),number_of_organizations(skc3,v))*.
% 0.18/0.46 93[0:SpR:86.3,2.0] environment(u) || in_environment(u,skc2) in_environment(skc3,skc2) -> constant(number_of_organizations(u,skc2))*.
% 0.18/0.46 97[0:MRR:93.2,40.0] environment(u) || in_environment(u,skc2) -> constant(number_of_organizations(u,skc2))*.
% 0.18/0.46 111[0:SpR:83.2,97.2] environment(u) environment(u) || in_environment(u,skc2)* in_environment(u,skc2)* -> constant(sum__dfg(cardinality_at_time(first_movers,skc2),cardinality_at_time(efficient_producers,skc2)))*.
% 0.18/0.46 112[0:Obv:111.2] environment(u) || in_environment(u,skc2)*+ -> constant(sum__dfg(cardinality_at_time(first_movers,skc2),cardinality_at_time(efficient_producers,skc2)))*.
% 0.18/0.46 115[0:Res:40.0,112.1] environment(skc3) || -> constant(sum__dfg(cardinality_at_time(first_movers,skc2),cardinality_at_time(efficient_producers,skc2)))*.
% 0.18/0.46 116[0:SSi:115.0,1.0] || -> constant(sum__dfg(cardinality_at_time(first_movers,skc2),cardinality_at_time(efficient_producers,skc2)))*.
% 0.18/0.46 119[0:Res:116.0,14.0] || -> decreases(cardinality_at_time(first_movers,skc2)) SkP1(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2)).
% 0.18/0.46 120[0:Res:116.0,15.0] || -> increases(cardinality_at_time(efficient_producers,skc2)) SkP1(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2)).
% 0.18/0.46 121[0:Res:119.1,6.0] || -> decreases(cardinality_at_time(first_movers,skc2)) SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* increases(cardinality_at_time(first_movers,skc2)).
% 0.18/0.46 122[0:Res:119.1,7.0] || -> decreases(cardinality_at_time(first_movers,skc2)) SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* decreases(cardinality_at_time(efficient_producers,skc2)).
% 0.18/0.46 129[1:Spt:121.0] || -> decreases(cardinality_at_time(first_movers,skc2))*.
% 0.18/0.46 130[0:Res:120.1,6.0] || -> increases(cardinality_at_time(efficient_producers,skc2)) SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* increases(cardinality_at_time(first_movers,skc2)).
% 0.18/0.46 131[0:Res:120.1,7.0] || -> increases(cardinality_at_time(efficient_producers,skc2)) SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* decreases(cardinality_at_time(efficient_producers,skc2)).
% 0.18/0.46 132[2:Spt:130.0] || -> increases(cardinality_at_time(efficient_producers,skc2))*.
% 0.18/0.46 169[0:Res:42.0,23.3] environment(u) || increases(cardinality_at_time(efficient_producers,skc2)) in_environment(u,skc2) subpopulation(efficient_producers,u,skc2)* -> greater(growth_rate(efficient_producers,skc2),zero)*.
% 0.18/0.46 170[0:Res:41.0,23.3] environment(u) || increases(cardinality_at_time(first_movers,skc2)) in_environment(u,skc2) subpopulation(first_movers,u,skc2)* -> greater(growth_rate(first_movers,skc2),zero)*.
% 0.18/0.46 173[0:MRR:170.3,8.2] environment(u) || increases(cardinality_at_time(first_movers,skc2))+ in_environment(u,skc2)* -> greater(growth_rate(first_movers,skc2),zero)*.
% 0.18/0.46 174[2:MRR:169.1,169.3,132.0,9.2] environment(u) || in_environment(u,skc2)*+ -> greater(growth_rate(efficient_producers,skc2),zero)*.
% 0.18/0.46 177[2:Res:40.0,174.1] environment(skc3) || -> greater(growth_rate(efficient_producers,skc2),zero)*.
% 0.18/0.46 178[2:SSi:177.0,1.0] || -> greater(growth_rate(efficient_producers,skc2),zero)*.
% 0.18/0.46 179[2:MRR:10.1,178.0] || greater(zero,growth_rate(first_movers,skc2))* -> .
% 0.18/0.46 180[0:Res:42.0,24.3] environment(u) || constant(cardinality_at_time(efficient_producers,skc2)) in_environment(u,skc2) subpopulation(efficient_producers,u,skc2)* -> equal(growth_rate(efficient_producers,skc2),zero).
% 0.18/0.46 181[0:Res:41.0,24.3] environment(u) || constant(cardinality_at_time(first_movers,skc2)) in_environment(u,skc2) subpopulation(first_movers,u,skc2)* -> equal(growth_rate(first_movers,skc2),zero).
% 0.18/0.47 184[0:MRR:181.3,8.2] environment(u) || constant(cardinality_at_time(first_movers,skc2))*+ in_environment(u,skc2)* -> equal(growth_rate(first_movers,skc2),zero).
% 0.18/0.47 185[0:MRR:180.3,9.2] environment(u) || constant(cardinality_at_time(efficient_producers,skc2))*+ in_environment(u,skc2)* -> equal(growth_rate(efficient_producers,skc2),zero).
% 0.18/0.47 190[0:Res:42.0,22.3] environment(u) || decreases(cardinality_at_time(efficient_producers,skc2)) in_environment(u,skc2) subpopulation(efficient_producers,u,skc2)* -> greater(zero,growth_rate(efficient_producers,skc2))*.
% 0.18/0.47 191[0:Res:41.0,22.3] environment(u) || decreases(cardinality_at_time(first_movers,skc2)) in_environment(u,skc2) subpopulation(first_movers,u,skc2)* -> greater(zero,growth_rate(first_movers,skc2))*.
% 0.18/0.47 194[2:MRR:191.1,191.3,191.4,129.0,8.2,179.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 197[2:Res:40.0,194.1] environment(skc3) || -> .
% 0.18/0.47 198[2:SSi:197.0,1.0] || -> .
% 0.18/0.47 199[2:Spt:198.0,130.0,132.0] || increases(cardinality_at_time(efficient_producers,skc2))* -> .
% 0.18/0.47 200[2:Spt:198.0,130.1,130.2] || -> SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* increases(cardinality_at_time(first_movers,skc2)).
% 0.18/0.47 201[2:MRR:131.0,199.0] || -> SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* decreases(cardinality_at_time(efficient_producers,skc2)).
% 0.18/0.47 203[0:MRR:190.3,9.2] environment(u) || decreases(cardinality_at_time(efficient_producers,skc2)) in_environment(u,skc2)* -> greater(zero,growth_rate(efficient_producers,skc2))*.
% 0.18/0.47 205[3:Spt:200.0] || -> SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))*.
% 0.18/0.47 206[3:Res:205.0,4.0] || -> constant(cardinality_at_time(first_movers,skc2))*.
% 0.18/0.47 207[3:Res:205.0,5.0] || -> constant(cardinality_at_time(efficient_producers,skc2))*.
% 0.18/0.47 208[3:MRR:184.1,206.0] environment(u) || in_environment(u,skc2)*+ -> equal(growth_rate(first_movers,skc2),zero)**.
% 0.18/0.47 209[3:MRR:185.1,207.0] environment(u) || in_environment(u,skc2)* -> equal(growth_rate(efficient_producers,skc2),zero)**.
% 0.18/0.47 227[3:Res:40.0,208.1] environment(skc3) || -> equal(growth_rate(first_movers,skc2),zero)**.
% 0.18/0.47 228[3:SSi:227.0,1.0] || -> equal(growth_rate(first_movers,skc2),zero)**.
% 0.18/0.47 229[3:Rew:228.0,12.1] || equal(growth_rate(efficient_producers,skc2),zero)** equal(zero,zero) -> .
% 0.18/0.47 232[3:Obv:229.1] || equal(growth_rate(efficient_producers,skc2),zero)** -> .
% 0.18/0.47 233[3:MRR:209.2,232.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 237[3:Res:40.0,233.1] environment(skc3) || -> .
% 0.18/0.47 238[3:SSi:237.0,1.0] || -> .
% 0.18/0.47 239[3:Spt:238.0,200.0,205.0] || SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* -> .
% 0.18/0.47 240[3:Spt:238.0,200.1] || -> increases(cardinality_at_time(first_movers,skc2))*.
% 0.18/0.47 241[3:MRR:201.0,239.0] || -> decreases(cardinality_at_time(efficient_producers,skc2))*.
% 0.18/0.47 243[3:MRR:173.1,240.0] environment(u) || in_environment(u,skc2)* -> greater(growth_rate(first_movers,skc2),zero)*.
% 0.18/0.47 244[3:MRR:203.1,241.0] environment(u) || in_environment(u,skc2)* -> greater(zero,growth_rate(efficient_producers,skc2))*.
% 0.18/0.47 259[4:Spt:11.0] || greater(zero,growth_rate(efficient_producers,skc2))* -> .
% 0.18/0.47 260[4:MRR:244.2,259.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 261[4:Res:40.0,260.1] environment(skc3) || -> .
% 0.18/0.47 262[4:SSi:261.0,1.0] || -> .
% 0.18/0.47 263[4:Spt:262.0,11.0,259.0] || -> greater(zero,growth_rate(efficient_producers,skc2))*.
% 0.18/0.47 264[4:Spt:262.0,11.1] || greater(growth_rate(first_movers,skc2),zero)* -> .
% 0.18/0.47 265[4:MRR:243.2,264.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 266[4:Res:40.0,265.1] environment(skc3) || -> .
% 0.18/0.47 267[4:SSi:266.0,1.0] || -> .
% 0.18/0.47 268[1:Spt:267.0,121.0,129.0] || decreases(cardinality_at_time(first_movers,skc2))* -> .
% 0.18/0.47 269[1:Spt:267.0,121.1,121.2] || -> SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* increases(cardinality_at_time(first_movers,skc2)).
% 0.18/0.47 270[1:MRR:122.0,268.0] || -> SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* decreases(cardinality_at_time(efficient_producers,skc2)).
% 0.18/0.47 272[2:Spt:269.0] || -> SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))*.
% 0.18/0.47 273[2:Res:272.0,4.0] || -> constant(cardinality_at_time(first_movers,skc2))*.
% 0.18/0.47 274[2:Res:272.0,5.0] || -> constant(cardinality_at_time(efficient_producers,skc2))*.
% 0.18/0.47 275[2:MRR:184.1,273.0] environment(u) || in_environment(u,skc2)* -> equal(growth_rate(first_movers,skc2),zero)**.
% 0.18/0.47 276[2:MRR:185.1,274.0] environment(u) || in_environment(u,skc2)* -> equal(growth_rate(efficient_producers,skc2),zero)**.
% 0.18/0.47 292[3:Spt:12.0] || equal(growth_rate(efficient_producers,skc2),zero)** -> .
% 0.18/0.47 293[3:MRR:276.2,292.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 294[3:Res:40.0,293.1] environment(skc3) || -> .
% 0.18/0.47 295[3:SSi:294.0,1.0] || -> .
% 0.18/0.47 296[3:Spt:295.0,12.0,292.0] || -> equal(growth_rate(efficient_producers,skc2),zero)**.
% 0.18/0.47 297[3:Spt:295.0,12.1] || equal(growth_rate(first_movers,skc2),zero)** -> .
% 0.18/0.47 300[3:MRR:275.2,297.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 302[3:Res:40.0,300.1] environment(skc3) || -> .
% 0.18/0.47 303[3:SSi:302.0,1.0] || -> .
% 0.18/0.47 304[2:Spt:303.0,269.0,272.0] || SkP0(cardinality_at_time(efficient_producers,skc2),cardinality_at_time(first_movers,skc2))* -> .
% 0.18/0.47 305[2:Spt:303.0,269.1] || -> increases(cardinality_at_time(first_movers,skc2))*.
% 0.18/0.47 306[2:MRR:270.0,304.0] || -> decreases(cardinality_at_time(efficient_producers,skc2))*.
% 0.18/0.47 308[2:MRR:173.1,305.0] environment(u) || in_environment(u,skc2)* -> greater(growth_rate(first_movers,skc2),zero)*.
% 0.18/0.47 309[2:MRR:203.1,306.0] environment(u) || in_environment(u,skc2)* -> greater(zero,growth_rate(efficient_producers,skc2))*.
% 0.18/0.47 324[3:Spt:11.0] || greater(zero,growth_rate(efficient_producers,skc2))* -> .
% 0.18/0.47 325[3:MRR:309.2,324.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 326[3:Res:40.0,325.1] environment(skc3) || -> .
% 0.18/0.47 327[3:SSi:326.0,1.0] || -> .
% 0.18/0.47 328[3:Spt:327.0,11.0,324.0] || -> greater(zero,growth_rate(efficient_producers,skc2))*.
% 0.18/0.47 329[3:Spt:327.0,11.1] || greater(growth_rate(first_movers,skc2),zero)* -> .
% 0.18/0.47 330[3:MRR:308.2,329.0] environment(u) || in_environment(u,skc2)* -> .
% 0.18/0.47 331[3:Res:40.0,330.1] environment(skc3) || -> .
% 0.18/0.47 332[3:SSi:331.0,1.0] || -> .
% 0.18/0.47 % SZS output end Refutation
% 0.18/0.47 Formulae used in the proof : prove_l7 mp_abc_sum_increase mp_subpopulations mp_time_point_occur mp_non_zero_producers mp_only_members mp_growth_rate
% 0.18/0.47
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