TSTP Solution File: MGT037+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT037+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : CounterSatisfiable 0.19s 0.50s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 360)
% Comments :
%------------------------------------------------------------------------------
cnf(362,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| decreases(number_of_organizations(u,skf2(v,u)))
| equal(skf3(skf2(v,u),u),first_movers)
| equal(skf3(skf2(v,u),u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[360]),
[iquote('0:Obv:360.7')] ).
cnf(342,plain,
( ~ environment(u)
| ~ environment(v)
| ~ in_environment(v,skf2(w,u))
| ~ greater_or_equal(w,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,w),zero)
| decreases(number_of_organizations(v,skf2(w,u)))
| decreases(number_of_organizations(u,skf2(w,u)))
| equal(skf3(skf2(w,u),v),first_movers)
| equal(skf3(skf2(w,u),v),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[341]),
[iquote('0:Obv:341.0')] ).
cnf(355,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| decreases(number_of_organizations(skc3,skf2(u,skc3)))
| equal(skf3(skf2(u,skc3),skc3),first_movers)
| equal(skf3(skf2(u,skc3),skc3),efficient_producers) ),
inference(ssi,[status(thm)],[354,1]),
[iquote('0:SSi:354.0,1.0')] ).
cnf(351,plain,
( ~ environment(u)
| ~ in_environment(u,skf2(v,skc3))
| ~ greater_or_equal(v,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| decreases(number_of_organizations(u,skf2(v,skc3)))
| decreases(number_of_organizations(skc3,skf2(v,skc3)))
| equal(skf3(skf2(v,skc3),u),first_movers)
| equal(skf3(skf2(v,skc3),u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[349]),
[iquote('0:Obv:349.0')] ).
cnf(278,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| ~ subpopulation(skf3(skf2(v,skc3),w),u,skf2(v,skc3))
| decreases(number_of_organizations(skc3,skf2(v,skc3)))
| equal(skf3(skf2(v,skc3),w),first_movers)
| equal(skf3(skf2(v,skc3),w),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[123,20]),
[iquote('0:Res:123.3,20.1')] ).
cnf(271,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater_or_equal(w,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,w),zero)
| ~ greater(resilience(efficient_producers),resilience(x))
| ~ in_environment(v,skf2(w,u))
| ~ greater(resilience(x),resilience(y))
| greater(zero,growth_rate(y,skf2(w,u))) ),
inference(res,[status(thm),theory(equality)],[187,27]),
[iquote('0:Res:187.4,27.2')] ).
cnf(277,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| ~ subpopulation(skf3(skf2(u,skc3),v),skc3,skf2(u,skc3))
| decreases(number_of_organizations(skc3,skf2(u,skc3)))
| equal(skf3(skf2(u,skc3),v),first_movers)
| equal(skf3(skf2(u,skc3),v),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[123,35]),
[iquote('0:Res:123.3,35.0')] ).
cnf(279,plain,
( ~ environment(u)
| ~ in_environment(u,skf2(v,skc3))
| ~ equal(number_of_organizations(u,skf2(v,skc3)),zero)
| ~ greater_or_equal(v,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| decreases(number_of_organizations(u,skf2(v,skc3)))
| decreases(number_of_organizations(skc3,skf2(v,skc3))) ),
inference(mrr,[status(thm)],[276,67]),
[iquote('0:MRR:276.7,67.0')] ).
cnf(269,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater_or_equal(w,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,w),zero)
| ~ greater(resilience(efficient_producers),resilience(skf3(skf2(w,u),x)))
| ~ in_environment(v,skf2(w,u))
| decreases(number_of_organizations(v,skf2(w,u))) ),
inference(res,[status(thm),theory(equality)],[187,19]),
[iquote('0:Res:187.4,19.2')] ).
cnf(215,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater_or_equal(w,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,w),zero)
| ~ subpopulation(skf3(skf2(w,u),x),v,skf2(w,u))
| decreases(number_of_organizations(u,skf2(w,u)))
| equal(skf3(skf2(w,u),x),first_movers)
| equal(skf3(skf2(w,u),x),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[143,20]),
[iquote('0:Res:143.4,20.1')] ).
cnf(337,plain,
( ~ environment(u)
| ~ greater(resilience(first_movers),resilience(v))
| ~ in_environment(u,skf2(skc2,skc3))
| ~ greater(resilience(v),resilience(w))
| greater(zero,growth_rate(w,skf2(skc2,skc3))) ),
inference(res,[status(thm),theory(equality)],[329,27]),
[iquote('0:Res:329.1,27.2')] ).
cnf(335,plain,
( ~ environment(u)
| ~ greater(resilience(first_movers),resilience(skf3(skf2(skc2,skc3),v)))
| ~ in_environment(u,skf2(skc2,skc3))
| decreases(number_of_organizations(u,skf2(skc2,skc3))) ),
inference(res,[status(thm),theory(equality)],[329,19]),
[iquote('0:Res:329.1,19.2')] ).
cnf(333,plain,
( ~ greater(resilience(first_movers),resilience(u))
| ~ equal(cardinality_at_time(u,skf2(skc2,skc3)),zero) ),
inference(res,[status(thm),theory(equality)],[329,10]),
[iquote('0:Res:329.1,10.0')] ).
cnf(329,plain,
( ~ greater(resilience(first_movers),resilience(u))
| greater(zero,growth_rate(u,skf2(skc2,skc3))) ),
inference(mrr,[status(thm)],[328,3]),
[iquote('0:MRR:328.0,3.0')] ).
cnf(214,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| ~ subpopulation(skf3(skf2(v,u),w),skc3,skf2(v,u))
| decreases(number_of_organizations(u,skf2(v,u)))
| equal(skf3(skf2(v,u),w),first_movers)
| equal(skf3(skf2(v,u),w),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[143,35]),
[iquote('0:Res:143.4,35.0')] ).
cnf(322,plain,
( ~ environment(u)
| ~ greater(resilience(efficient_producers),resilience(v))
| ~ in_environment(u,skf2(skc2,skc3))
| ~ greater(resilience(v),resilience(w))
| greater(zero,growth_rate(w,skf2(skc2,skc3))) ),
inference(obv,[status(thm),theory(equality)],[321]),
[iquote('0:Obv:321.1')] ).
cnf(221,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| ~ greater(resilience(efficient_producers),resilience(w))
| ~ in_environment(u,skf2(v,skc3))
| ~ greater(resilience(w),resilience(x))
| greater(zero,growth_rate(x,skf2(v,skc3))) ),
inference(res,[status(thm),theory(equality)],[186,27]),
[iquote('0:Res:186.3,27.2')] ).
cnf(219,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| ~ greater(resilience(efficient_producers),resilience(skf3(skf2(v,skc3),w)))
| ~ in_environment(u,skf2(v,skc3))
| decreases(number_of_organizations(u,skf2(v,skc3))) ),
inference(res,[status(thm),theory(equality)],[186,19]),
[iquote('0:Res:186.3,19.2')] ).
cnf(216,plain,
( ~ environment(u)
| ~ environment(v)
| ~ in_environment(u,skf2(w,v))
| ~ equal(number_of_organizations(u,skf2(w,v)),zero)
| ~ greater_or_equal(w,appear(efficient_producers,v))
| ~ equal(cardinality_at_time(efficient_producers,w),zero)
| decreases(number_of_organizations(u,skf2(w,v)))
| decreases(number_of_organizations(v,skf2(w,v))) ),
inference(mrr,[status(thm)],[213,67]),
[iquote('0:MRR:213.8,67.0')] ).
cnf(225,plain,
( ~ environment(u)
| ~ in_environment(skc3,skf2(v,w))
| ~ greater(resilience(first_movers),resilience(skf3(skf2(v,w),x)))
| ~ in_environment(u,skf2(v,w))
| decreases(number_of_organizations(u,skf2(v,w))) ),
inference(res,[status(thm),theory(equality)],[222,19]),
[iquote('0:Res:222.2,19.2')] ).
cnf(161,plain,
( ~ environment(u)
| ~ in_environment(skc3,skf2(v,w))
| ~ greater(resilience(efficient_producers),resilience(skf3(skf2(v,w),x)))
| ~ in_environment(u,skf2(v,w))
| decreases(number_of_organizations(u,skf2(v,w))) ),
inference(res,[status(thm),theory(equality)],[156,19]),
[iquote('0:Res:156.2,19.2')] ).
cnf(309,plain,
( ~ environment(u)
| ~ greater_or_equal(appear(an_organisation,u),appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,appear(an_organisation,u)),zero)
| ~ in_environment(u,skf2(appear(an_organisation,u),skc3)) ),
inference(mrr,[status(thm)],[308,87]),
[iquote('0:MRR:308.4,87.0')] ).
cnf(291,plain,
( ~ environment(u)
| ~ greater_or_equal(appear(an_organisation,u),appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,appear(an_organisation,u)),zero) ),
inference(obv,[status(thm),theory(equality)],[289]),
[iquote('0:Obv:289.4')] ).
cnf(250,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater_or_equal(appear(an_organisation,v),appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,appear(an_organisation,v)),zero)
| ~ in_environment(v,skf2(appear(an_organisation,v),u)) ),
inference(mrr,[status(thm)],[249,87]),
[iquote('0:MRR:249.5,87.0')] ).
cnf(275,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ in_environment(skc3,v)
| decreases(number_of_organizations(u,v))
| decreases(number_of_organizations(skc3,v))
| equal(skf3(v,u),first_movers)
| equal(skf3(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[273]),
[iquote('0:Obv:273.0')] ).
cnf(267,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| ~ greater(resilience(efficient_producers),resilience(w))
| ~ equal(cardinality_at_time(w,skf2(v,u)),zero) ),
inference(res,[status(thm),theory(equality)],[187,10]),
[iquote('0:Res:187.4,10.0')] ).
cnf(123,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| decreases(number_of_organizations(skc3,skf2(u,skc3)))
| greater(cardinality_at_time(skf3(skf2(u,skc3),v),skf2(u,skc3)),zero) ),
inference(ssi,[status(thm)],[122,1]),
[iquote('0:SSi:122.0,1.0')] ).
cnf(149,plain,
( ~ environment(u)
| ~ in_environment(skc3,v)
| ~ subpopulation(skf3(v,w),u,v)
| decreases(number_of_organizations(skc3,v))
| equal(skf3(v,w),first_movers)
| equal(skf3(v,w),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[38,20]),
[iquote('0:Res:38.2,20.1')] ).
cnf(187,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| ~ greater(resilience(efficient_producers),resilience(w))
| greater(zero,growth_rate(w,skf2(v,u))) ),
inference(obv,[status(thm),theory(equality)],[185]),
[iquote('0:Obv:185.0')] ).
cnf(246,plain,
( ~ environment(u)
| ~ greater_or_equal(appear(an_organisation,skc3),appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,appear(an_organisation,skc3)),zero)
| ~ in_environment(skc3,skf2(appear(an_organisation,skc3),u)) ),
inference(mrr,[status(thm)],[245,87]),
[iquote('0:MRR:245.4,87.0')] ).
cnf(217,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| ~ greater(resilience(efficient_producers),resilience(v))
| ~ equal(cardinality_at_time(v,skf2(u,skc3)),zero) ),
inference(res,[status(thm),theory(equality)],[186,10]),
[iquote('0:Res:186.3,10.0')] ).
cnf(259,plain,
( ~ in_environment(skc3,u)
| decreases(number_of_organizations(skc3,u))
| equal(skf3(u,skc3),first_movers)
| equal(skf3(u,skc3),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[257]),
[iquote('0:Obv:257.2')] ).
cnf(193,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ equal(number_of_organizations(u,v),zero)
| ~ in_environment(skc3,v)
| decreases(number_of_organizations(u,v))
| decreases(number_of_organizations(skc3,v)) ),
inference(mrr,[status(thm)],[188,67]),
[iquote('0:MRR:188.6,67.0')] ).
cnf(115,plain,
( ~ in_environment(skc3,u)
| ~ subpopulation(skf3(u,v),skc3,u)
| decreases(number_of_organizations(skc3,u))
| equal(skf3(u,v),first_movers)
| equal(skf3(u,v),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[38,35]),
[iquote('0:Res:38.2,35.0')] ).
cnf(229,plain,
( ~ greater(resilience(first_movers),resilience(u))
| ~ in_environment(skc3,skf2(v,w))
| ~ greater(resilience(u),resilience(x))
| greater(zero,growth_rate(x,skf2(v,w))) ),
inference(obv,[status(thm),theory(equality)],[226]),
[iquote('0:Obv:226.0')] ).
cnf(228,plain,
( ~ greater(resilience(first_movers),resilience(skf3(skf2(u,v),w)))
| ~ in_environment(skc3,skf2(u,v))
| decreases(number_of_organizations(skc3,skf2(u,v))) ),
inference(obv,[status(thm),theory(equality)],[224]),
[iquote('0:Obv:224.0')] ).
cnf(223,plain,
( ~ in_environment(skc3,skf2(u,v))
| ~ greater(resilience(first_movers),resilience(w))
| ~ equal(cardinality_at_time(w,skf2(u,v)),zero) ),
inference(res,[status(thm),theory(equality)],[222,10]),
[iquote('0:Res:222.2,10.0')] ).
cnf(222,plain,
( ~ in_environment(skc3,skf2(u,v))
| ~ greater(resilience(first_movers),resilience(w))
| greater(zero,growth_rate(w,skf2(u,v))) ),
inference(res,[status(thm),theory(equality)],[4,164]),
[iquote('0:Res:4.0,164.0')] ).
cnf(164,plain,
( ~ greater(resilience(efficient_producers),resilience(u))
| ~ in_environment(skc3,skf2(v,w))
| ~ greater(resilience(u),resilience(x))
| greater(zero,growth_rate(x,skf2(v,w))) ),
inference(obv,[status(thm),theory(equality)],[162]),
[iquote('0:Obv:162.0')] ).
cnf(186,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| ~ greater(resilience(efficient_producers),resilience(v))
| greater(zero,growth_rate(v,skf2(u,skc3))) ),
inference(ssi,[status(thm)],[184,1]),
[iquote('0:SSi:184.0,1.0')] ).
cnf(209,plain,
( ~ greater_or_equal(appear(an_organisation,skc3),appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,appear(an_organisation,skc3)),zero) ),
inference(mrr,[status(thm)],[208,33,87]),
[iquote('0:MRR:208.2,208.3,33.2,87.0')] ).
cnf(143,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| decreases(number_of_organizations(u,skf2(v,u)))
| greater(cardinality_at_time(skf3(skf2(v,u),w),skf2(v,u)),zero) ),
inference(obv,[status(thm),theory(equality)],[139]),
[iquote('0:Obv:139.0')] ).
cnf(180,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ equal(number_of_organizations(u,v),zero)
| decreases(number_of_organizations(u,v))
| equal(cardinality_at_time(skf3(v,u),v),zero) ),
inference(obv,[status(thm),theory(equality)],[174]),
[iquote('0:Obv:174.2')] ).
cnf(181,plain,
( ~ environment(u)
| ~ in_environment(u,skf2(v,w))
| ~ greater(resilience(efficient_producers),resilience(x))
| greater(zero,growth_rate(x,skf2(v,w))) ),
inference(res,[status(thm),theory(equality)],[7,27]),
[iquote('0:Res:7.0,27.2')] ).
cnf(178,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ equal(number_of_organizations(u,v),zero)
| equal(cardinality_at_time(efficient_producers,v),zero) ),
inference(obv,[status(thm),theory(equality)],[172]),
[iquote('0:Obv:172.2')] ).
cnf(27,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater(zero,growth_rate(w,v))
| ~ greater(resilience(w),resilience(x))
| greater(zero,growth_rate(x,v)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(177,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ equal(number_of_organizations(u,v),zero)
| equal(cardinality_at_time(first_movers,v),zero) ),
inference(obv,[status(thm),theory(equality)],[173]),
[iquote('0:Obv:173.2')] ).
cnf(26,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ equal(number_of_organizations(u,v),zero)
| ~ subpopulation(w,u,v)
| equal(cardinality_at_time(w,v),zero) ),
file('MGT037+2.p',unknown),
[] ).
cnf(24,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater(equilibrium(u),v)
| ~ greater(number_of_organizations(u,v),zero)
| decreases(resources(u,v)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(163,plain,
( ~ greater(resilience(efficient_producers),resilience(skf3(skf2(u,v),w)))
| ~ in_environment(skc3,skf2(u,v))
| decreases(number_of_organizations(skc3,skf2(u,v))) ),
inference(obv,[status(thm),theory(equality)],[160]),
[iquote('0:Obv:160.0')] ).
cnf(25,axiom,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| greater(skf2(v,u),appear(efficient_producers,u)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(142,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| greater(cardinality_at_time(efficient_producers,skf2(v,u)),zero) ),
inference(mrr,[status(thm)],[141,87]),
[iquote('0:MRR:141.3,87.0')] ).
cnf(159,plain,
( ~ in_environment(skc3,skf2(u,v))
| ~ greater(resilience(efficient_producers),resilience(w))
| ~ equal(cardinality_at_time(w,skf2(u,v)),zero) ),
inference(res,[status(thm),theory(equality)],[156,10]),
[iquote('0:Res:156.2,10.0')] ).
cnf(156,plain,
( ~ in_environment(skc3,skf2(u,v))
| ~ greater(resilience(efficient_producers),resilience(w))
| greater(zero,growth_rate(w,skf2(u,v))) ),
inference(res,[status(thm),theory(equality)],[7,28]),
[iquote('0:Res:7.0,28.1')] ).
cnf(158,plain,
( ~ greater(zero,growth_rate(efficient_producers,skc2))
| ~ greater(resilience(first_movers),resilience(u))
| greater(zero,growth_rate(u,skc2)) ),
inference(mrr,[status(thm)],[157,2]),
[iquote('0:MRR:157.1,2.0')] ).
cnf(23,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater(number_of_organizations(u,v),zero)
| constant(resources(u,v))
| greater(equilibrium(u),v) ),
file('MGT037+2.p',unknown),
[] ).
cnf(28,plain,
( ~ in_environment(skc3,u)
| ~ greater(zero,growth_rate(v,u))
| ~ greater(resilience(v),resilience(w))
| greater(zero,growth_rate(w,u)) ),
inference(res,[status(thm),theory(equality)],[1,27]),
[iquote('0:Res:1.0,27.0')] ).
cnf(155,plain,
( ~ equal(number_of_organizations(skc3,u),zero)
| ~ in_environment(skc3,u)
| decreases(number_of_organizations(skc3,u)) ),
inference(mrr,[status(thm)],[154,67]),
[iquote('0:MRR:154.3,67.0')] ).
cnf(20,axiom,
( ~ environment(u)
| ~ greater(cardinality_at_time(v,w),zero)
| ~ subpopulation(v,u,w)
| equal(v,first_movers)
| equal(v,efficient_producers) ),
file('MGT037+2.p',unknown),
[] ).
cnf(21,axiom,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| greater(v,skf2(v,u)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(22,axiom,
( ~ environment(u)
| ~ greater_or_equal(v,appear(efficient_producers,u))
| ~ equal(cardinality_at_time(efficient_producers,v),zero)
| in_environment(u,skf2(v,u)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(134,plain,
( ~ in_environment(skc3,u)
| ~ equal(number_of_organizations(skc3,u),zero)
| equal(cardinality_at_time(first_movers,u),zero) ),
inference(obv,[status(thm),theory(equality)],[128]),
[iquote('0:Obv:128.0')] ).
cnf(133,plain,
( ~ in_environment(skc3,u)
| ~ equal(number_of_organizations(skc3,u),zero)
| equal(cardinality_at_time(efficient_producers,u),zero) ),
inference(obv,[status(thm),theory(equality)],[127]),
[iquote('0:Obv:127.0')] ).
cnf(29,plain,
( ~ in_environment(skc3,u)
| ~ equal(number_of_organizations(skc3,u),zero)
| ~ subpopulation(v,skc3,u)
| equal(cardinality_at_time(v,u),zero) ),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.0')] ).
cnf(19,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater(zero,growth_rate(skf3(v,w),v))
| decreases(number_of_organizations(u,v)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(31,plain,
( ~ in_environment(skc3,u)
| ~ greater(equilibrium(skc3),u)
| ~ greater(number_of_organizations(skc3,u),zero)
| decreases(resources(skc3,u)) ),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.0')] ).
cnf(105,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| greater(cardinality_at_time(efficient_producers,skf2(u,skc3)),zero) ),
inference(mrr,[status(thm)],[104,87]),
[iquote('0:MRR:104.2,87.0')] ).
cnf(30,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| greater(skf2(u,skc3),appear(efficient_producers,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.0')] ).
cnf(16,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| decreases(number_of_organizations(u,v))
| greater(cardinality_at_time(skf3(v,w),v),zero) ),
file('MGT037+2.p',unknown),
[] ).
cnf(120,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater_or_equal(v,appear(an_organisation,u)) ),
inference(mrr,[status(thm)],[119,67]),
[iquote('0:MRR:119.3,67.0')] ).
cnf(15,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater(appear(an_organisation,u),v)
| equal(number_of_organizations(u,v),zero) ),
file('MGT037+2.p',unknown),
[] ).
cnf(32,plain,
( ~ in_environment(skc3,u)
| ~ greater(number_of_organizations(skc3,u),zero)
| constant(resources(skc3,u))
| greater(equilibrium(skc3),u) ),
inference(res,[status(thm),theory(equality)],[1,23]),
[iquote('0:Res:1.0,23.0')] ).
cnf(35,plain,
( ~ greater(cardinality_at_time(u,v),zero)
| ~ subpopulation(u,skc3,v)
| equal(u,first_movers)
| equal(u,efficient_producers) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.0')] ).
cnf(109,plain,
( ~ greater(zero,growth_rate(efficient_producers,skc2))
| ~ equal(cardinality_at_time(first_movers,skc2),zero) ),
inference(res,[status(thm),theory(equality)],[108,10]),
[iquote('0:Res:108.1,10.0')] ).
cnf(108,plain,
( ~ greater(zero,growth_rate(efficient_producers,skc2))
| greater(zero,growth_rate(first_movers,skc2)) ),
inference(res,[status(thm),theory(equality)],[4,77]),
[iquote('0:Res:4.0,77.1')] ).
cnf(77,plain,
( ~ greater(zero,growth_rate(u,skc2))
| ~ greater(resilience(u),resilience(v))
| greater(zero,growth_rate(v,skc2)) ),
inference(mrr,[status(thm)],[61,1]),
[iquote('0:MRR:61.0,1.0')] ).
cnf(34,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| greater(u,skf2(u,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.0')] ).
cnf(33,plain,
( ~ greater_or_equal(u,appear(efficient_producers,skc3))
| ~ equal(cardinality_at_time(efficient_producers,u),zero)
| in_environment(skc3,skf2(u,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,22]),
[iquote('0:Res:1.0,22.0')] ).
cnf(12,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| decreases(number_of_organizations(u,v))
| subpopulation(skf3(v,u),u,v) ),
file('MGT037+2.p',unknown),
[] ).
cnf(36,plain,
( ~ in_environment(skc3,u)
| ~ greater(zero,growth_rate(skf3(u,v),u))
| decreases(number_of_organizations(skc3,u)) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(96,plain,
( ~ equal(number_of_organizations(skc3,skc2),zero)
| equal(cardinality_at_time(first_movers,skc2),zero) ),
inference(res,[status(thm),theory(equality)],[62,76]),
[iquote('0:Res:62.0,76.1')] ).
cnf(76,plain,
( ~ equal(number_of_organizations(skc3,skc2),zero)
| ~ subpopulation(u,skc3,skc2)
| equal(cardinality_at_time(u,skc2),zero) ),
inference(mrr,[status(thm)],[47,1]),
[iquote('0:MRR:47.0,1.0')] ).
cnf(38,plain,
( ~ in_environment(skc3,u)
| decreases(number_of_organizations(skc3,u))
| greater(cardinality_at_time(skf3(u,v),u),zero) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.0')] ).
cnf(14,axiom,
( ~ environment(u)
| ~ decreases(resources(u,v))
| ~ decreases(number_of_organizations(u,v))
| ~ in_environment(u,v) ),
file('MGT037+2.p',unknown),
[] ).
cnf(94,plain,
( ~ greater_or_equal(u,appear(an_organisation,skc3))
| ~ in_environment(skc3,u) ),
inference(mrr,[status(thm)],[93,67]),
[iquote('0:MRR:93.2,67.0')] ).
cnf(37,plain,
( ~ in_environment(skc3,u)
| ~ greater(appear(an_organisation,skc3),u)
| equal(number_of_organizations(skc3,u),zero) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(41,plain,
( ~ in_environment(skc3,u)
| decreases(number_of_organizations(skc3,u))
| subpopulation(skf3(u,skc3),skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(13,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| equal(cardinality_at_time(efficient_producers,v),zero)
| greater(cardinality_at_time(efficient_producers,v),zero) ),
file('MGT037+2.p',unknown),
[] ).
cnf(43,plain,
( ~ decreases(resources(skc3,u))
| ~ decreases(number_of_organizations(skc3,u))
| ~ in_environment(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(42,plain,
( ~ in_environment(skc3,u)
| equal(cardinality_at_time(efficient_producers,u),zero)
| greater(cardinality_at_time(efficient_producers,u),zero) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(44,plain,
( ~ constant(resources(skc3,u))
| ~ in_environment(skc3,u)
| constant(number_of_organizations(skc3,u)) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(87,plain,
~ equal(cardinality_at_time(efficient_producers,skf2(u,v)),zero),
inference(res,[status(thm),theory(equality)],[7,10]),
[iquote('0:Res:7.0,10.0')] ).
cnf(11,axiom,
( ~ environment(u)
| ~ constant(resources(u,v))
| ~ in_environment(u,v)
| constant(number_of_organizations(u,v)) ),
file('MGT037+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ greater(zero,growth_rate(u,v))
| ~ equal(cardinality_at_time(u,v),zero) ),
file('MGT037+2.p',unknown),
[] ).
cnf(80,plain,
( ~ greater(equilibrium(skc3),skc2)
| ~ greater(number_of_organizations(skc3,skc2),zero) ),
inference(mrr,[status(thm)],[75,79]),
[iquote('1:MRR:75.2,79.0')] ).
cnf(86,plain,
~ greater_or_equal(skc2,appear(an_organisation,skc3)),
inference(mrr,[status(thm)],[85,67]),
[iquote('0:MRR:85.1,67.0')] ).
cnf(8,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| subpopulation(first_movers,u,v) ),
file('MGT037+2.p',unknown),
[] ).
cnf(69,plain,
( ~ greater(appear(an_organisation,skc3),skc2)
| equal(number_of_organizations(skc3,skc2),zero) ),
inference(mrr,[status(thm)],[51,1]),
[iquote('0:MRR:51.0,1.0')] ).
cnf(81,plain,
( ~ greater(number_of_organizations(skc3,skc2),zero)
| constant(resources(skc3,skc2)) ),
inference(mrr,[status(thm)],[74,80]),
[iquote('1:MRR:74.2,80.0')] ).
cnf(9,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| subpopulation(efficient_producers,u,v) ),
file('MGT037+2.p',unknown),
[] ).
cnf(64,plain,
( ~ constant(resources(skc3,skc2))
| constant(number_of_organizations(skc3,skc2)) ),
inference(mrr,[status(thm)],[58,1]),
[iquote('0:MRR:58.0,1.0')] ).
cnf(45,plain,
( ~ in_environment(skc3,u)
| subpopulation(first_movers,skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(46,plain,
( ~ in_environment(skc3,u)
| subpopulation(efficient_producers,skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(7,axiom,
greater(zero,growth_rate(efficient_producers,skf2(u,v))),
file('MGT037+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ decreases(u)
| ~ constant(u) ),
file('MGT037+2.p',unknown),
[] ).
cnf(79,plain,
~ decreases(resources(skc3,skc2)),
inference(mrr,[status(thm)],[68,78]),
[iquote('1:MRR:68.1,78.0')] ).
cnf(66,plain,
equal(cardinality_at_time(efficient_producers,skc2),zero),
inference(mrr,[status(thm)],[56,1,5]),
[iquote('0:MRR:56.0,56.1,1.0,5.0')] ).
cnf(3,axiom,
greater_or_equal(skc2,appear(efficient_producers,skc3)),
file('MGT037+2.p',unknown),
[] ).
cnf(62,plain,
subpopulation(first_movers,skc3,skc2),
inference(mrr,[status(thm)],[59,1]),
[iquote('0:MRR:59.0,1.0')] ).
cnf(4,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('MGT037+2.p',unknown),
[] ).
cnf(63,plain,
subpopulation(efficient_producers,skc3,skc2),
inference(mrr,[status(thm)],[60,1]),
[iquote('0:MRR:60.0,1.0')] ).
cnf(67,plain,
~ greater(zero,zero),
inference(rew,[status(thm),theory(equality)],[66,5]),
[iquote('0:Rew:66.0,5.0')] ).
cnf(2,axiom,
in_environment(skc3,skc2),
file('MGT037+2.p',unknown),
[] ).
cnf(1,axiom,
environment(skc3),
file('MGT037+2.p',unknown),
[] ).
cnf(78,plain,
decreases(number_of_organizations(skc3,skc2)),
inference(spt,[],[65]),
[iquote('1:Spt:65.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT037+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 10:52:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Completion found.
% 0.19/0.50 % SZS status CounterSatisfiable
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 212 clauses, backtracked 0 clauses, performed 1 splits and kept 143 clauses.
% 0.19/0.50 SPASS allocated 98039 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.03 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 The saturated set of worked-off clauses is :
% 0.19/0.50 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------