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 v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 22:26:18 EDT 2022
% Result : CounterSatisfiable 0.21s 0.47s
% Output : Saturation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 266)
% Comments :
%------------------------------------------------------------------------------
cnf(268,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater_or_equal(v,appear(an_organisation,u))
| ~ greater_or_equal(v,appear(first_movers,skc3))
| ~ in_environment(skc3,v)
| equal(skf1(v,u),first_movers)
| equal(skf1(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[266]),
[iquote('0:Obv:266.0')] ).
cnf(263,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| ~ greater_or_equal(v,appear(first_movers,skc3))
| ~ in_environment(skc3,v)
| equal(skf1(v,u),first_movers)
| equal(skf1(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[262]),
[iquote('0:Obv:262.0')] ).
cnf(128,plain,
( ~ environment(u)
| ~ greater_or_equal(v,appear(first_movers,skc3))
| ~ in_environment(skc3,v)
| ~ subpopulation(skf1(v,w),u,v)
| equal(skf1(v,w),first_movers)
| equal(skf1(v,w),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[81,18]),
[iquote('0:Res:81.2,18.1')] ).
cnf(255,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater_or_equal(v,appear(an_organisation,u))
| ~ greater(number_of_organizations(skc3,v),zero)
| equal(skf1(v,u),first_movers)
| equal(skf1(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[254]),
[iquote('0:Obv:254.0')] ).
cnf(93,plain,
( ~ greater_or_equal(u,appear(first_movers,skc3))
| ~ in_environment(skc3,u)
| ~ subpopulation(skf1(u,v),skc3,u)
| equal(skf1(u,v),first_movers)
| equal(skf1(u,v),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[81,23]),
[iquote('0:Res:81.2,23.0')] ).
cnf(251,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| ~ greater(number_of_organizations(skc3,v),zero)
| equal(skf1(v,u),first_movers)
| equal(skf1(v,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[249]),
[iquote('0:Obv:249.0')] ).
cnf(129,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(skc3,v),zero)
| ~ subpopulation(skf1(v,w),u,v)
| equal(skf1(v,w),first_movers)
| equal(skf1(v,w),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[26,18]),
[iquote('0:Res:26.1,18.1')] ).
cnf(150,plain,
( ~ environment(u)
| ~ in_environment(u,skc2)
| ~ greater_or_equal(skc2,appear(an_organisation,u))
| equal(skf1(skc2,u),first_movers)
| equal(skf1(skc2,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[149]),
[iquote('0:Obv:149.0')] ).
cnf(241,plain,
( ~ greater_or_equal(u,appear(first_movers,skc3))
| ~ in_environment(skc3,u)
| equal(skf1(u,skc3),first_movers)
| equal(skf1(u,skc3),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[65,239]),
[iquote('0:Res:65.2,239.0')] ).
cnf(239,plain,
( ~ greater(number_of_organizations(skc3,u),zero)
| equal(skf1(u,skc3),first_movers)
| equal(skf1(u,skc3),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[237]),
[iquote('0:Obv:237.0')] ).
cnf(94,plain,
( ~ greater(number_of_organizations(skc3,u),zero)
| ~ subpopulation(skf1(u,v),skc3,u)
| equal(skf1(u,v),first_movers)
| equal(skf1(u,v),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[26,23]),
[iquote('0:Res:26.1,23.0')] ).
cnf(234,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,skc2),zero)
| ~ subpopulation(efficient_producers,u,skc2)
| selection_favors(skf1(skc2,u),efficient_producers,skc2) ),
inference(obv,[status(thm),theory(equality)],[230]),
[iquote('0:Obv:230.0')] ).
cnf(173,plain,
( ~ environment(u)
| ~ subpopulation(efficient_producers,u,skc2)
| ~ subpopulation(skf1(skc2,v),u,skc2)
| selection_favors(skf1(skc2,v),efficient_producers,skc2) ),
inference(res,[status(thm),theory(equality)],[80,155]),
[iquote('0:Res:80.0,155.1')] ).
cnf(226,plain,
( ~ subpopulation(skf1(skc2,u),skc3,skc2)
| selection_favors(skf1(skc2,u),efficient_producers,skc2) ),
inference(res,[status(thm),theory(equality)],[80,222]),
[iquote('0:Res:80.0,222.0')] ).
cnf(222,plain,
( ~ greater(cardinality_at_time(u,skc2),zero)
| ~ subpopulation(u,skc3,skc2)
| selection_favors(u,efficient_producers,skc2) ),
inference(mrr,[status(thm)],[221,42]),
[iquote('0:MRR:221.1,42.0')] ).
cnf(21,plain,
( ~ equal(cardinality_at_time(u,v),zero)
| ~ greater(cardinality_at_time(w,v),zero)
| ~ subpopulation(u,skc3,v)
| ~ subpopulation(w,skc3,v)
| selection_favors(w,u,v) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.0')] ).
cnf(158,plain,
( ~ environment(u)
| ~ in_environment(u,skc2)
| ~ in_environment(u,start_time(skc3))
| in_environment(u,appear(first_movers,skc3)) ),
inference(res,[status(thm),theory(equality)],[33,140]),
[iquote('0:Res:33.0,140.1')] ).
cnf(212,plain,
selection_favors(efficient_producers,efficient_producers,skc2),
inference(ssi,[status(thm)],[209,1]),
[iquote('1:SSi:209.0,1.0')] ).
cnf(188,plain,
~ equal(cardinality_at_time(efficient_producers,t),zero),
inference(mrr,[status(thm)],[50,187]),
[iquote('1:MRR:50.0,187.0')] ).
cnf(140,plain,
( ~ environment(u)
| ~ greater_or_equal(appear(first_movers,skc3),v)
| ~ in_environment(u,skc2)
| ~ in_environment(u,v)
| in_environment(u,appear(first_movers,skc3)) ),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.1')] ).
cnf(191,plain,
equal(skf1(skc2,skc3),efficient_producers),
inference(mrr,[status(thm)],[98,186]),
[iquote('1:MRR:98.0,186.0')] ).
cnf(190,plain,
~ equal(efficient_producers,first_movers),
inference(mrr,[status(thm)],[101,186]),
[iquote('1:MRR:101.1,186.0')] ).
cnf(187,plain,
greater(zero,zero),
inference(spt,[],[183,111]),
[iquote('1:Spt:183.0,111.1')] ).
cnf(155,plain,
( ~ environment(u)
| ~ greater(cardinality_at_time(v,skc2),zero)
| ~ subpopulation(efficient_producers,u,skc2)
| ~ subpopulation(v,u,skc2)
| selection_favors(v,efficient_producers,skc2) ),
inference(obv,[status(thm),theory(equality)],[154]),
[iquote('0:Obv:154.1')] ).
cnf(142,plain,
( ~ environment(u)
| ~ environment(v)
| ~ greater_or_equal(start_time(u),w)
| ~ in_environment(v,appear(first_movers,u))
| ~ in_environment(v,w)
| in_environment(v,start_time(u)) ),
inference(res,[status(thm),theory(equality)],[7,19]),
[iquote('0:Res:7.1,19.1')] ).
cnf(141,plain,
( ~ environment(u)
| ~ greater_or_equal(start_time(skc3),v)
| ~ in_environment(u,appear(first_movers,skc3))
| ~ in_environment(u,v)
| in_environment(u,start_time(skc3)) ),
inference(res,[status(thm),theory(equality)],[33,19]),
[iquote('0:Res:33.0,19.1')] ).
cnf(20,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(139,plain,
( ~ environment(u)
| ~ greater_or_equal(start_time(u),v)
| ~ in_environment(skc3,appear(first_movers,u))
| ~ in_environment(skc3,v)
| in_environment(skc3,start_time(u)) ),
inference(res,[status(thm),theory(equality)],[7,22]),
[iquote('0:Res:7.1,22.0')] ).
cnf(89,plain,
( ~ environment(u)
| ~ in_environment(u,v)
| ~ greater_or_equal(v,appear(an_organisation,u))
| greater(cardinality_at_time(skf1(v,w),v),zero) ),
inference(obv,[status(thm),theory(equality)],[87]),
[iquote('0:Obv:87.0')] ).
cnf(146,plain,
( ~ environment(u)
| ~ greater(number_of_organizations(u,skc2),zero)
| equal(skf1(skc2,u),first_movers)
| equal(skf1(skc2,u),efficient_producers) ),
inference(obv,[status(thm),theory(equality)],[145]),
[iquote('0:Obv:145.0')] ).
cnf(130,plain,
( ~ environment(u)
| ~ subpopulation(skf1(skc2,v),u,skc2)
| equal(skf1(skc2,v),first_movers)
| equal(skf1(skc2,v),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[80,18]),
[iquote('0:Res:80.0,18.1')] ).
cnf(19,axiom,
( ~ environment(u)
| ~ greater_or_equal(v,w)
| ~ greater_or_equal(w,x)
| ~ in_environment(u,v)
| ~ in_environment(u,x)
| in_environment(u,w) ),
file('MGT033+1.p',unknown),
[] ).
cnf(22,plain,
( ~ greater_or_equal(u,v)
| ~ greater_or_equal(v,w)
| ~ in_environment(skc3,u)
| ~ in_environment(skc3,w)
| in_environment(skc3,v) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(61,plain,
( ~ environment(u)
| ~ greater_or_equal(skc2,appear(first_movers,u))
| ~ in_environment(skc3,start_time(u))
| in_environment(skc3,appear(first_movers,u)) ),
inference(res,[status(thm),theory(equality)],[7,46]),
[iquote('0:Res:7.1,46.0')] ).
cnf(91,plain,
( ~ greater_or_equal(u,appear(first_movers,skc3))
| ~ in_environment(skc3,u)
| ~ equal(cardinality_at_time(skf1(u,v),t),zero) ),
inference(res,[status(thm),theory(equality)],[81,10]),
[iquote('0:Res:81.2,10.0')] ).
cnf(85,plain,
( ~ environment(u)
| ~ greater_or_equal(start_time(u),skc2)
| ~ in_environment(skc3,appear(first_movers,u))
| in_environment(skc3,start_time(u)) ),
inference(res,[status(thm),theory(equality)],[7,45]),
[iquote('0:Res:7.1,45.0')] ).
cnf(18,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(16,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(95,plain,
( ~ subpopulation(skf1(skc2,u),skc3,skc2)
| equal(skf1(skc2,u),first_movers)
| equal(skf1(skc2,u),efficient_producers) ),
inference(res,[status(thm),theory(equality)],[80,23]),
[iquote('0:Res:80.0,23.0')] ).
cnf(23,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)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(81,plain,
( ~ greater_or_equal(u,appear(first_movers,skc3))
| ~ in_environment(skc3,u)
| greater(cardinality_at_time(skf1(u,v),u),zero) ),
inference(ssi,[status(thm)],[78,1]),
[iquote('0:SSi:78.0,1.0')] ).
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(17,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(45,plain,
( ~ greater_or_equal(u,v)
| ~ greater_or_equal(v,skc2)
| ~ in_environment(skc3,u)
| in_environment(skc3,v) ),
inference(mrr,[status(thm)],[35,1]),
[iquote('0:MRR:35.0,1.0')] ).
cnf(74,plain,
( ~ in_environment(skc3,u)
| ~ greater(appear(first_movers,skc3),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(82,plain,
~ equal(cardinality_at_time(skf1(skc2,u),t),zero),
inference(res,[status(thm),theory(equality)],[80,10]),
[iquote('0:Res:80.0,10.0')] ).
cnf(80,plain,
greater(cardinality_at_time(skf1(skc2,u),skc2),zero),
inference(ssi,[status(thm)],[79,1]),
[iquote('0:SSi:79.0,1.0')] ).
cnf(14,axiom,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| greater(cardinality_at_time(skf1(v,w),v),zero) ),
file('MGT033+1.p',unknown),
[] ).
cnf(65,plain,
( ~ greater_or_equal(u,appear(first_movers,skc3))
| ~ in_environment(skc3,u)
| greater(number_of_organizations(skc3,u),zero) ),
inference(rew,[status(thm),theory(equality)],[63,25]),
[iquote('0:Rew:63.0,25.0')] ).
cnf(73,plain,
( ~ greater(appear(first_movers,skc3),skc2)
| equal(cardinality_at_time(an_organisation,skc2),zero) ),
inference(spl,[status(thm),theory(equality)],[63,43]),
[iquote('0:SpL:63.0,43.0')] ).
cnf(63,plain,
equal(appear(an_organisation,skc3),appear(first_movers,skc3)),
inference(mrr,[status(thm)],[52,62]),
[iquote('0:MRR:52.0,62.0')] ).
cnf(66,plain,
greater(number_of_organizations(skc3,skc2),zero),
inference(mrr,[status(thm)],[64,3]),
[iquote('0:MRR:64.0,3.0')] ).
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(skc3,appear(first_movers,skc3)),
inference(mrr,[status(thm)],[60,3,34]),
[iquote('0:MRR:60.0,60.1,3.0,34.0')] ).
cnf(46,plain,
( ~ greater_or_equal(u,v)
| ~ greater_or_equal(skc2,u)
| ~ in_environment(skc3,v)
| in_environment(skc3,u) ),
inference(mrr,[status(thm)],[40,1]),
[iquote('0:MRR:40.0,1.0')] ).
cnf(24,plain,
( ~ in_environment(skc3,u)
| ~ greater(appear(v,skc3),u)
| equal(cardinality_at_time(v,u),zero) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.0')] ).
cnf(13,axiom,
( ~ environment(u)
| ~ greater(number_of_organizations(u,v),zero)
| subpopulation(skf1(v,u),u,v) ),
file('MGT033+1.p',unknown),
[] ).
cnf(55,plain,
( ~ greater(number_of_organizations(skc3,u),zero)
| ~ equal(cardinality_at_time(skf1(u,v),t),zero) ),
inference(res,[status(thm),theory(equality)],[26,10]),
[iquote('0:Res:26.1,10.0')] ).
cnf(26,plain,
( ~ greater(number_of_organizations(skc3,u),zero)
| greater(cardinality_at_time(skf1(u,v),u),zero) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(11,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(skc3,u),zero)
| subpopulation(skf1(u,skc3),skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(10,axiom,
( ~ greater(cardinality_at_time(u,v),zero)
| ~ equal(cardinality_at_time(u,t),zero) ),
file('MGT033+1.p',unknown),
[] ).
cnf(8,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,skc2),zero),
inference(res,[status(thm),theory(equality)],[4,43]),
[iquote('0:Res:4.0,43.0')] ).
cnf(43,plain,
( ~ greater(appear(u,skc3),skc2)
| equal(cardinality_at_time(u,skc2),zero) ),
inference(mrr,[status(thm)],[36,1]),
[iquote('0:MRR:36.0,1.0')] ).
cnf(9,axiom,
( ~ environment(u)
| ~ in_environment(u,v)
| subpopulation(efficient_producers,u,v) ),
file('MGT033+1.p',unknown),
[] ).
cnf(7,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(skc3,u),zero)
| in_environment(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(31,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(32,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(6,axiom,
( ~ environment(u)
| in_environment(u,start_time(u)) ),
file('MGT033+1.p',unknown),
[] ).
cnf(33,plain,
greater_or_equal(appear(first_movers,skc3),start_time(skc3)),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(5,axiom,
~ selection_favors(first_movers,efficient_producers,skc2),
file('MGT033+1.p',unknown),
[] ).
cnf(3,axiom,
greater_or_equal(skc2,appear(first_movers,skc3)),
file('MGT033+1.p',unknown),
[] ).
cnf(34,plain,
in_environment(skc3,start_time(skc3)),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.0')] ).
cnf(4,axiom,
greater(appear(efficient_producers,skc3),skc2),
file('MGT033+1.p',unknown),
[] ).
cnf(41,plain,
subpopulation(first_movers,skc3,skc2),
inference(mrr,[status(thm)],[38,1]),
[iquote('0:MRR:38.0,1.0')] ).
cnf(42,plain,
subpopulation(efficient_producers,skc3,skc2),
inference(mrr,[status(thm)],[39,1]),
[iquote('0:MRR:39.0,1.0')] ).
cnf(2,axiom,
in_environment(skc3,skc2),
file('MGT033+1.p',unknown),
[] ).
cnf(1,axiom,
environment(skc3),
file('MGT033+1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT033+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 9 06:55:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47
% 0.21/0.47 SPASS V 3.9
% 0.21/0.47 SPASS beiseite: Completion found.
% 0.21/0.47 % SZS status CounterSatisfiable
% 0.21/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 SPASS derived 193 clauses, backtracked 12 clauses, performed 1 splits and kept 104 clauses.
% 0.21/0.47 SPASS allocated 97800 KBytes.
% 0.21/0.47 SPASS spent 0:00:00.11 on the problem.
% 0.21/0.47 0:00:00.03 for the input.
% 0.21/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.47 0:00:00.01 for inferences.
% 0.21/0.47 0:00:00.00 for the backtracking.
% 0.21/0.47 0:00:00.01 for the reduction.
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 The saturated set of worked-off clauses is :
% 0.21/0.47 % SZS output start Saturation
% See solution above
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