TSTP Solution File: MGT033-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT033-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 22:26:17 EDT 2022
% Result : Satisfiable 0.12s 0.33s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 218)
% Comments :
%------------------------------------------------------------------------------
cnf(223,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,sk3),zero)
| ~ subpopulation(efficient_producers,u,sk3)
| selection_favors(sk1(sk3,u),efficient_producers,sk3) ),
inference(obv,[status(thm),theory(equality)],[218]),
[iquote('0:Obv:218.3')] ).
cnf(147,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater(number_of_organizations(u,sk3),zero)
| ~ subpopulation(efficient_producers,v,sk3)
| ~ subpopulation(sk1(sk3,u),v,sk3)
| selection_favors(sk1(sk3,u),efficient_producers,sk3) ),
inference(res,[status(thm),theory(equality)],[4,138]),
[iquote('0:Res:4.2,138.1')] ).
cnf(214,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater_or_equal(v,appear(an_organisation,u))
| equal(sk1(v,u),first_movers)
| equal(sk1(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[213]),
[iquote('0:Obv:213.0')] ).
cnf(210,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| equal(sk1(v,u),first_movers)
| equal(sk1(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[208]),
[iquote('0:Obv:208.3')] ).
cnf(203,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,sk3),zero)
| ~ subpopulation(sk1(sk3,u),sk2,sk3)
| selection_favors(sk1(sk3,u),efficient_producers,sk3) ),
inference(res,[status(thm),theory(equality)],[4,200]),
[iquote('0:Res:4.2,200.0')] ).
cnf(200,plain,
( ~ greater(cardinality_at_time(u,sk3),zero)
| ~ subpopulation(u,sk2,sk3)
| selection_favors(u,efficient_producers,sk3) ),
inference(mrr,[status(thm)],[199,42]),
[iquote('0:MRR:199.1,42.0')] ).
cnf(21,plain,
( ~ equal(cardinality_at_time(u,v),zero)
| ~ greater(cardinality_at_time(w,v),zero)
| ~ subpopulation(u,sk2,v)
| ~ subpopulation(w,sk2,v)
| selection_favors(w,u,v) ),
inference(res,[status(thm),theory(equality)],[16,1]),
[iquote('0:Res:16.0,1.0')] ).
cnf(140,plain,
( ~ environment(u)
| ~ in_environment(u,sk3)
| ~ in_environment(u,start_time(sk2))
| in_environment(u,appear(first_movers,sk2)) ),
inference(res,[status(thm),theory(equality)],[18,132]),
[iquote('0:Res:18.0,132.1')] ).
cnf(187,plain,
selection_favors(efficient_producers,efficient_producers,sk3),
inference(ssi,[status(thm)],[184,16]),
[iquote('1:SSi:184.0,16.0')] ).
cnf(131,plain,
( ~ environment(u)
| ~ greater_or_equal(v,sk3)
| ~ in_environment(u,v)
| ~ in_environment(u,appear(first_movers,sk2))
| in_environment(u,sk3) ),
inference(res,[status(thm),theory(equality)],[18,7]),
[iquote('0:Res:18.0,7.1')] ).
cnf(165,plain,
~ equal(cardinality_at_time(efficient_producers,t),zero),
inference(mrr,[status(thm)],[50,164]),
[iquote('1:MRR:50.0,164.0')] ).
cnf(168,plain,
equal(sk1(sk3,sk2),efficient_producers),
inference(mrr,[status(thm)],[90,163]),
[iquote('1:MRR:90.0,163.0')] ).
cnf(167,plain,
~ equal(efficient_producers,first_movers),
inference(mrr,[status(thm)],[93,163]),
[iquote('1:MRR:93.1,163.0')] ).
cnf(164,plain,
greater(zero,zero),
inference(spt,[],[159,102]),
[iquote('1:Spt:159.0,102.1')] ).
cnf(133,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater_or_equal(w,appear(first_movers,u))
| ~ in_environment(v,w)
| ~ in_environment(v,start_time(u))
| in_environment(v,appear(first_movers,u)) ),
inference(res,[status(thm),theory(equality)],[9,7]),
[iquote('0:Res:9.1,7.1')] ).
cnf(138,plain,
( ~ environment(u)
| ~ greater(cardinality_at_time(v,sk3),zero)
| ~ subpopulation(efficient_producers,u,sk3)
| ~ subpopulation(v,u,sk3)
| selection_favors(v,efficient_producers,sk3) ),
inference(obv,[status(thm),theory(equality)],[137]),
[iquote('0:Obv:137.1')] ).
cnf(132,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(first_movers,sk2))
| ~ in_environment(u,v)
| ~ in_environment(u,start_time(sk2))
| in_environment(u,appear(first_movers,sk2)) ),
inference(res,[status(thm),theory(equality)],[33,7]),
[iquote('0:Res:33.0,7.1')] ).
cnf(129,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(first_movers,u))
| ~ in_environment(sk2,v)
| ~ in_environment(sk2,start_time(u))
| in_environment(sk2,appear(first_movers,u)) ),
inference(res,[status(thm),theory(equality)],[9,22]),
[iquote('0:Res:9.1,22.0')] ).
cnf(1,axiom,
( ~ environment(u)
| ~ equal(cardinality_at_time(v,w),zero)
| ~ greater(cardinality_at_time(x,w),zero)
| ~ subpopulation(v,u,w)
| ~ subpopulation(x,u,w)
| selection_favors(x,v,w) ),
file('MGT033-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ environment(u)
| ~ greater_or_equal(v,w)
| ~ greater_or_equal(x,v)
| ~ in_environment(u,x)
| ~ in_environment(u,w)
| in_environment(u,v) ),
file('MGT033-1.p',unknown),
[] ).
cnf(89,plain,
( ~ greater_or_equal(u,appear(first_movers,sk2))
| ~ in_environment(sk2,u)
| equal(sk1(u,sk2),first_movers)
| equal(sk1(u,sk2),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[65,88]),
[iquote('0:Res:65.2,88.0')] ).
cnf(22,plain,
( ~ greater_or_equal(u,v)
| ~ greater_or_equal(w,u)
| ~ in_environment(sk2,w)
| ~ in_environment(sk2,v)
| in_environment(sk2,u) ),
inference(res,[status(thm),theory(equality)],[16,7]),
[iquote('0:Res:16.0,7.0')] ).
cnf(14,axiom,
( ~ environment(u)
| ~ greater(cardinality_at_time(v,w),zero)
| ~ subpopulation(v,u,w)
| equal(v,first_movers)
| equal(v,efficient_producers) ),
file('MGT033-1.p',unknown),
[] ).
cnf(61,plain,
( ~ environment(u)
| ~ greater_or_equal(sk3,appear(first_movers,u))
| ~ in_environment(sk2,start_time(u))
| in_environment(sk2,appear(first_movers,u)) ),
inference(res,[status(thm),theory(equality)],[9,46]),
[iquote('0:Res:9.1,46.0')] ).
cnf(81,plain,
( ~ environment(u)
| ~ greater_or_equal(start_time(u),sk3)
| ~ in_environment(sk2,appear(first_movers,u))
| in_environment(sk2,start_time(u)) ),
inference(res,[status(thm),theory(equality)],[9,45]),
[iquote('0:Res:9.1,45.0')] ).
cnf(2,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater(appear(w,u),v)
| equal(cardinality_at_time(w,v),zero) ),
file('MGT033-1.p',unknown),
[] ).
cnf(88,plain,
( ~ greater(number_of_organizations(sk2,u),zero)
| equal(sk1(u,sk2),first_movers)
| equal(sk1(u,sk2),efficient_producers) ),
inference(mrr,[status(thm)],[86,28]),
[iquote('0:MRR:86.1,28.1')] ).
cnf(23,plain,
( ~ greater(cardinality_at_time(u,v),zero)
| ~ subpopulation(u,sk2,v)
| equal(u,first_movers)
| equal(u,efficient_producers) ),
inference(res,[status(thm),theory(equality)],[16,14]),
[iquote('0:Res:16.0,14.0')] ).
cnf(13,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater_or_equal(v,appear(an_organisation,u))
| greater(number_of_organizations(u,v),zero) ),
file('MGT033-1.p',unknown),
[] ).
cnf(78,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| ~ equal(cardinality_at_time(sk1(v,u),t),zero) ),
inference(res,[status(thm),theory(equality)],[4,5]),
[iquote('0:Res:4.2,5.0')] ).
cnf(68,plain,
( ~ environment(u)
| ~ in_environment(u,appear(first_movers,u))
| equal(appear(an_organisation,u),appear(first_movers,u)) ),
inference(obv,[status(thm),theory(equality)],[67]),
[iquote('0:Obv:67.0')] ).
cnf(45,plain,
( ~ greater_or_equal(u,v)
| ~ greater_or_equal(v,sk3)
| ~ in_environment(sk2,u)
| in_environment(sk2,v) ),
inference(mrr,[status(thm)],[35,16]),
[iquote('0:MRR:35.0,16.0')] ).
cnf(74,plain,
( ~ in_environment(sk2,u)
| ~ greater(appear(first_movers,sk2),u)
| equal(cardinality_at_time(an_organisation,u),zero) ),
inference(spl,[status(thm),theory(equality)],[63,24]),
[iquote('0:SpL:63.0,24.1')] ).
cnf(4,axiom,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| greater(cardinality_at_time(sk1(v,u),v),zero) ),
file('MGT033-1.p',unknown),
[] ).
cnf(65,plain,
( ~ greater_or_equal(u,appear(first_movers,sk2))
| ~ in_environment(sk2,u)
| greater(number_of_organizations(sk2,u),zero) ),
inference(rew,[status(thm),theory(equality)],[63,25]),
[iquote('0:Rew:63.0,25.0')] ).
cnf(73,plain,
( ~ greater(appear(first_movers,sk2),sk3)
| equal(cardinality_at_time(an_organisation,sk3),zero) ),
inference(spl,[status(thm),theory(equality)],[63,43]),
[iquote('0:SpL:63.0,43.0')] ).
cnf(63,plain,
equal(appear(an_organisation,sk2),appear(first_movers,sk2)),
inference(mrr,[status(thm)],[52,62]),
[iquote('0:MRR:52.0,62.0')] ).
cnf(66,plain,
greater(number_of_organizations(sk2,sk3),zero),
inference(mrr,[status(thm)],[64,18]),
[iquote('0:MRR:64.0,18.0')] ).
cnf(15,axiom,
( ~ environment(u)
| ~ in_environment(u,appear(an_organisation,u))
| equal(appear(an_organisation,u),appear(first_movers,u)) ),
file('MGT033-1.p',unknown),
[] ).
cnf(62,plain,
in_environment(sk2,appear(first_movers,sk2)),
inference(mrr,[status(thm)],[60,18,34]),
[iquote('0:MRR:60.0,60.1,18.0,34.0')] ).
cnf(46,plain,
( ~ greater_or_equal(u,v)
| ~ greater_or_equal(sk3,u)
| ~ in_environment(sk2,v)
| in_environment(sk2,u) ),
inference(mrr,[status(thm)],[40,16]),
[iquote('0:MRR:40.0,16.0')] ).
cnf(24,plain,
( ~ in_environment(sk2,u)
| ~ greater(appear(v,sk2),u)
| equal(cardinality_at_time(v,u),zero) ),
inference(res,[status(thm),theory(equality)],[16,2]),
[iquote('0:Res:16.0,2.0')] ).
cnf(3,axiom,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| subpopulation(sk1(v,u),u,v) ),
file('MGT033-1.p',unknown),
[] ).
cnf(55,plain,
( ~ greater(number_of_organizations(sk2,u),zero)
| ~ equal(cardinality_at_time(sk1(u,sk2),t),zero) ),
inference(res,[status(thm),theory(equality)],[26,5]),
[iquote('0:Res:26.1,5.0')] ).
cnf(26,plain,
( ~ greater(number_of_organizations(sk2,u),zero)
| greater(cardinality_at_time(sk1(u,sk2),u),zero) ),
inference(res,[status(thm),theory(equality)],[16,4]),
[iquote('0:Res:16.0,4.0')] ).
cnf(6,axiom,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| in_environment(u,v) ),
file('MGT033-1.p',unknown),
[] ).
cnf(28,plain,
( ~ greater(number_of_organizations(sk2,u),zero)
| subpopulation(sk1(u,sk2),sk2,u) ),
inference(res,[status(thm),theory(equality)],[16,3]),
[iquote('0:Res:16.0,3.0')] ).
cnf(5,axiom,
( ~ greater(cardinality_at_time(u,v),zero)
| ~ equal(cardinality_at_time(u,t),zero) ),
file('MGT033-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| subpopulation(first_movers,u,v) ),
file('MGT033-1.p',unknown),
[] ).
cnf(48,plain,
equal(cardinality_at_time(efficient_producers,sk3),zero),
inference(res,[status(thm),theory(equality)],[19,43]),
[iquote('0:Res:19.0,43.0')] ).
cnf(43,plain,
( ~ greater(appear(u,sk2),sk3)
| equal(cardinality_at_time(u,sk3),zero) ),
inference(mrr,[status(thm)],[36,16]),
[iquote('0:MRR:36.0,16.0')] ).
cnf(11,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| subpopulation(efficient_producers,u,v) ),
file('MGT033-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ environment(u)
| greater_or_equal(appear(first_movers,u),start_time(u)) ),
file('MGT033-1.p',unknown),
[] ).
cnf(30,plain,
( ~ greater(number_of_organizations(sk2,u),zero)
| in_environment(sk2,u) ),
inference(res,[status(thm),theory(equality)],[16,6]),
[iquote('0:Res:16.0,6.0')] ).
cnf(31,plain,
( ~ in_environment(sk2,u)
| subpopulation(first_movers,sk2,u) ),
inference(res,[status(thm),theory(equality)],[16,10]),
[iquote('0:Res:16.0,10.0')] ).
cnf(32,plain,
( ~ in_environment(sk2,u)
| subpopulation(efficient_producers,sk2,u) ),
inference(res,[status(thm),theory(equality)],[16,11]),
[iquote('0:Res:16.0,11.0')] ).
cnf(8,axiom,
( ~ environment(u)
| in_environment(u,start_time(u)) ),
file('MGT033-1.p',unknown),
[] ).
cnf(33,plain,
greater_or_equal(appear(first_movers,sk2),start_time(sk2)),
inference(res,[status(thm),theory(equality)],[16,9]),
[iquote('0:Res:16.0,9.0')] ).
cnf(20,axiom,
~ selection_favors(first_movers,efficient_producers,sk3),
file('MGT033-1.p',unknown),
[] ).
cnf(18,axiom,
greater_or_equal(sk3,appear(first_movers,sk2)),
file('MGT033-1.p',unknown),
[] ).
cnf(34,plain,
in_environment(sk2,start_time(sk2)),
inference(res,[status(thm),theory(equality)],[16,8]),
[iquote('0:Res:16.0,8.0')] ).
cnf(19,axiom,
greater(appear(efficient_producers,sk2),sk3),
file('MGT033-1.p',unknown),
[] ).
cnf(41,plain,
subpopulation(first_movers,sk2,sk3),
inference(mrr,[status(thm)],[38,16]),
[iquote('0:MRR:38.0,16.0')] ).
cnf(42,plain,
subpopulation(efficient_producers,sk2,sk3),
inference(mrr,[status(thm)],[39,16]),
[iquote('0:MRR:39.0,16.0')] ).
cnf(17,axiom,
in_environment(sk2,sk3),
file('MGT033-1.p',unknown),
[] ).
cnf(16,axiom,
environment(sk2),
file('MGT033-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : MGT033-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.08 % Command : run_spass %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Thu Jun 9 12:31:22 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.33
% 0.12/0.33 SPASS V 3.9
% 0.12/0.33 SPASS beiseite: Completion found.
% 0.12/0.33 % SZS status CounterSatisfiable
% 0.12/0.33 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 SPASS derived 149 clauses, backtracked 9 clauses, performed 1 splits and kept 92 clauses.
% 0.12/0.33 SPASS allocated 75789 KBytes.
% 0.12/0.33 SPASS spent 0:00:00.06 on the problem.
% 0.12/0.33 0:00:00.03 for the input.
% 0.12/0.33 0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.33 0:00:00.00 for inferences.
% 0.12/0.33 0:00:00.00 for the backtracking.
% 0.12/0.33 0:00:00.01 for the reduction.
% 0.12/0.33
% 0.12/0.33
% 0.12/0.33 The saturated set of worked-off clauses is :
% 0.12/0.33 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------