TSTP Solution File: MGT025+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : MGT025+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 16:05:28 EST 2010
% Result : Theorem 1.07s
% Output : Solution 1.07s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP27647/MGT025+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27647/MGT025+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27647/MGT025+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 27743
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>(greater(cardinality_at_time(first_movers,X2),zero)&greater(cardinality_at_time(efficient_producers,X2),zero))),file('/tmp/SRASS.s.p', mp_non_zero_producers)).
% fof(3, axiom,![X1]:![X3]:![X2]:(((environment(X1)&subpopulation(X3,X1,X2))&(greater(cardinality_at_time(X3,X2),zero)=>(X3=efficient_producers|X3=first_movers)))=>number_of_organizations(X1,X2)=sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))),file('/tmp/SRASS.s.p', mp_only_members)).
% fof(4, axiom,![X1]:![X2]:((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>in_environment(X1,X2)),file('/tmp/SRASS.s.p', mp_time_point_occur)).
% fof(5, axiom,![X1]:![X2]:((environment(X1)&in_environment(X1,X2))=>(subpopulation(first_movers,X1,X2)&subpopulation(efficient_producers,X1,X2))),file('/tmp/SRASS.s.p', mp_subpopulations)).
% fof(6, axiom,![X3]:![X1]:![X2]:((((environment(X1)&in_environment(X1,X2))&subpopulation(X3,X1,X2))&greater(cardinality_at_time(X3,X2),zero))=>(((constant(cardinality_at_time(X3,X2))=>growth_rate(X3,X2)=zero)&(increases(cardinality_at_time(X3,X2))=>greater(growth_rate(X3,X2),zero)))&(decreases(cardinality_at_time(X3,X2))=>greater(zero,growth_rate(X3,X2))))),file('/tmp/SRASS.s.p', mp_growth_rate)).
% fof(7, axiom,![X4]:![X5]:![X6]:((X4=sum(X5,X6)&constant(X4))=>(((constant(X5)&constant(X6))|(increases(X5)&decreases(X6)))|(decreases(X5)&increases(X6)))),file('/tmp/SRASS.s.p', mp_abc_sum_increase)).
% fof(8, conjecture,![X1]:![X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))&constant(number_of_organizations(X1,X2)))=>(((growth_rate(first_movers,X2)=zero&growth_rate(efficient_producers,X2)=zero)|(greater(growth_rate(first_movers,X2),zero)&greater(zero,growth_rate(efficient_producers,X2))))|(greater(growth_rate(efficient_producers,X2),zero)&greater(zero,growth_rate(first_movers,X2))))),file('/tmp/SRASS.s.p', prove_l7)).
% fof(9, negated_conjecture,~(![X1]:![X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))&constant(number_of_organizations(X1,X2)))=>(((growth_rate(first_movers,X2)=zero&growth_rate(efficient_producers,X2)=zero)|(greater(growth_rate(first_movers,X2),zero)&greater(zero,growth_rate(efficient_producers,X2))))|(greater(growth_rate(efficient_producers,X2),zero)&greater(zero,growth_rate(first_movers,X2)))))),inference(assume_negation,[status(cth)],[8])).
% fof(10, plain,![X1]:![X2]:((~(environment(X1))|~(subpopulations(first_movers,efficient_producers,X1,X2)))|(greater(cardinality_at_time(first_movers,X2),zero)&greater(cardinality_at_time(efficient_producers,X2),zero))),inference(fof_nnf,[status(thm)],[1])).
% fof(11, plain,![X3]:![X4]:((~(environment(X3))|~(subpopulations(first_movers,efficient_producers,X3,X4)))|(greater(cardinality_at_time(first_movers,X4),zero)&greater(cardinality_at_time(efficient_producers,X4),zero))),inference(variable_rename,[status(thm)],[10])).
% fof(12, plain,![X3]:![X4]:((greater(cardinality_at_time(first_movers,X4),zero)|(~(environment(X3))|~(subpopulations(first_movers,efficient_producers,X3,X4))))&(greater(cardinality_at_time(efficient_producers,X4),zero)|(~(environment(X3))|~(subpopulations(first_movers,efficient_producers,X3,X4))))),inference(distribute,[status(thm)],[11])).
% cnf(13,plain,(greater(cardinality_at_time(efficient_producers,X2),zero)|~subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)),inference(split_conjunct,[status(thm)],[12])).
% cnf(14,plain,(greater(cardinality_at_time(first_movers,X2),zero)|~subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)),inference(split_conjunct,[status(thm)],[12])).
% fof(18, plain,![X1]:![X3]:![X2]:(((~(environment(X1))|~(subpopulation(X3,X1,X2)))|(greater(cardinality_at_time(X3,X2),zero)&(~(X3=efficient_producers)&~(X3=first_movers))))|number_of_organizations(X1,X2)=sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(19, plain,![X4]:![X5]:![X6]:(((~(environment(X4))|~(subpopulation(X5,X4,X6)))|(greater(cardinality_at_time(X5,X6),zero)&(~(X5=efficient_producers)&~(X5=first_movers))))|number_of_organizations(X4,X6)=sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6))),inference(variable_rename,[status(thm)],[18])).
% fof(20, plain,![X4]:![X5]:![X6]:(((greater(cardinality_at_time(X5,X6),zero)|(~(environment(X4))|~(subpopulation(X5,X4,X6))))|number_of_organizations(X4,X6)=sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)))&(((~(X5=efficient_producers)|(~(environment(X4))|~(subpopulation(X5,X4,X6))))|number_of_organizations(X4,X6)=sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)))&((~(X5=first_movers)|(~(environment(X4))|~(subpopulation(X5,X4,X6))))|number_of_organizations(X4,X6)=sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6))))),inference(distribute,[status(thm)],[19])).
% cnf(21,plain,(number_of_organizations(X1,X2)=sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))|~subpopulation(X3,X1,X2)|~environment(X1)|X3!=first_movers),inference(split_conjunct,[status(thm)],[20])).
% fof(24, plain,![X1]:![X2]:((~(environment(X1))|~(subpopulations(first_movers,efficient_producers,X1,X2)))|in_environment(X1,X2)),inference(fof_nnf,[status(thm)],[4])).
% fof(25, plain,![X3]:![X4]:((~(environment(X3))|~(subpopulations(first_movers,efficient_producers,X3,X4)))|in_environment(X3,X4)),inference(variable_rename,[status(thm)],[24])).
% cnf(26,plain,(in_environment(X1,X2)|~subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X1]:![X2]:((~(environment(X1))|~(in_environment(X1,X2)))|(subpopulation(first_movers,X1,X2)&subpopulation(efficient_producers,X1,X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(28, plain,![X3]:![X4]:((~(environment(X3))|~(in_environment(X3,X4)))|(subpopulation(first_movers,X3,X4)&subpopulation(efficient_producers,X3,X4))),inference(variable_rename,[status(thm)],[27])).
% fof(29, plain,![X3]:![X4]:((subpopulation(first_movers,X3,X4)|(~(environment(X3))|~(in_environment(X3,X4))))&(subpopulation(efficient_producers,X3,X4)|(~(environment(X3))|~(in_environment(X3,X4))))),inference(distribute,[status(thm)],[28])).
% cnf(30,plain,(subpopulation(efficient_producers,X1,X2)|~in_environment(X1,X2)|~environment(X1)),inference(split_conjunct,[status(thm)],[29])).
% cnf(31,plain,(subpopulation(first_movers,X1,X2)|~in_environment(X1,X2)|~environment(X1)),inference(split_conjunct,[status(thm)],[29])).
% fof(32, plain,![X3]:![X1]:![X2]:((((~(environment(X1))|~(in_environment(X1,X2)))|~(subpopulation(X3,X1,X2)))|~(greater(cardinality_at_time(X3,X2),zero)))|(((~(constant(cardinality_at_time(X3,X2)))|growth_rate(X3,X2)=zero)&(~(increases(cardinality_at_time(X3,X2)))|greater(growth_rate(X3,X2),zero)))&(~(decreases(cardinality_at_time(X3,X2)))|greater(zero,growth_rate(X3,X2))))),inference(fof_nnf,[status(thm)],[6])).
% fof(33, plain,![X4]:![X5]:![X6]:((((~(environment(X5))|~(in_environment(X5,X6)))|~(subpopulation(X4,X5,X6)))|~(greater(cardinality_at_time(X4,X6),zero)))|(((~(constant(cardinality_at_time(X4,X6)))|growth_rate(X4,X6)=zero)&(~(increases(cardinality_at_time(X4,X6)))|greater(growth_rate(X4,X6),zero)))&(~(decreases(cardinality_at_time(X4,X6)))|greater(zero,growth_rate(X4,X6))))),inference(variable_rename,[status(thm)],[32])).
% fof(34, plain,![X4]:![X5]:![X6]:((((~(constant(cardinality_at_time(X4,X6)))|growth_rate(X4,X6)=zero)|(((~(environment(X5))|~(in_environment(X5,X6)))|~(subpopulation(X4,X5,X6)))|~(greater(cardinality_at_time(X4,X6),zero))))&((~(increases(cardinality_at_time(X4,X6)))|greater(growth_rate(X4,X6),zero))|(((~(environment(X5))|~(in_environment(X5,X6)))|~(subpopulation(X4,X5,X6)))|~(greater(cardinality_at_time(X4,X6),zero)))))&((~(decreases(cardinality_at_time(X4,X6)))|greater(zero,growth_rate(X4,X6)))|(((~(environment(X5))|~(in_environment(X5,X6)))|~(subpopulation(X4,X5,X6)))|~(greater(cardinality_at_time(X4,X6),zero))))),inference(distribute,[status(thm)],[33])).
% cnf(35,plain,(greater(zero,growth_rate(X1,X2))|~greater(cardinality_at_time(X1,X2),zero)|~subpopulation(X1,X3,X2)|~in_environment(X3,X2)|~environment(X3)|~decreases(cardinality_at_time(X1,X2))),inference(split_conjunct,[status(thm)],[34])).
% cnf(36,plain,(greater(growth_rate(X1,X2),zero)|~greater(cardinality_at_time(X1,X2),zero)|~subpopulation(X1,X3,X2)|~in_environment(X3,X2)|~environment(X3)|~increases(cardinality_at_time(X1,X2))),inference(split_conjunct,[status(thm)],[34])).
% cnf(37,plain,(growth_rate(X1,X2)=zero|~greater(cardinality_at_time(X1,X2),zero)|~subpopulation(X1,X3,X2)|~in_environment(X3,X2)|~environment(X3)|~constant(cardinality_at_time(X1,X2))),inference(split_conjunct,[status(thm)],[34])).
% fof(38, plain,![X4]:![X5]:![X6]:((~(X4=sum(X5,X6))|~(constant(X4)))|(((constant(X5)&constant(X6))|(increases(X5)&decreases(X6)))|(decreases(X5)&increases(X6)))),inference(fof_nnf,[status(thm)],[7])).
% fof(39, plain,![X7]:![X8]:![X9]:((~(X7=sum(X8,X9))|~(constant(X7)))|(((constant(X8)&constant(X9))|(increases(X8)&decreases(X9)))|(decreases(X8)&increases(X9)))),inference(variable_rename,[status(thm)],[38])).
% fof(40, plain,![X7]:![X8]:![X9]:(((((decreases(X8)|(increases(X8)|constant(X8)))|(~(X7=sum(X8,X9))|~(constant(X7))))&((increases(X9)|(increases(X8)|constant(X8)))|(~(X7=sum(X8,X9))|~(constant(X7)))))&(((decreases(X8)|(decreases(X9)|constant(X8)))|(~(X7=sum(X8,X9))|~(constant(X7))))&((increases(X9)|(decreases(X9)|constant(X8)))|(~(X7=sum(X8,X9))|~(constant(X7))))))&((((decreases(X8)|(increases(X8)|constant(X9)))|(~(X7=sum(X8,X9))|~(constant(X7))))&((increases(X9)|(increases(X8)|constant(X9)))|(~(X7=sum(X8,X9))|~(constant(X7)))))&(((decreases(X8)|(decreases(X9)|constant(X9)))|(~(X7=sum(X8,X9))|~(constant(X7))))&((increases(X9)|(decreases(X9)|constant(X9)))|(~(X7=sum(X8,X9))|~(constant(X7))))))),inference(distribute,[status(thm)],[39])).
% cnf(41,plain,(constant(X3)|decreases(X3)|increases(X3)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% cnf(42,plain,(constant(X3)|decreases(X3)|decreases(X2)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% cnf(43,plain,(constant(X3)|increases(X2)|increases(X3)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% cnf(44,plain,(constant(X3)|increases(X2)|decreases(X2)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% cnf(45,plain,(constant(X2)|decreases(X3)|increases(X3)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% cnf(47,plain,(constant(X2)|increases(X2)|increases(X3)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% cnf(48,plain,(constant(X2)|increases(X2)|decreases(X2)|~constant(X1)|X1!=sum(X2,X3)),inference(split_conjunct,[status(thm)],[40])).
% fof(49, negated_conjecture,?[X1]:?[X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))&constant(number_of_organizations(X1,X2)))&(((~(growth_rate(first_movers,X2)=zero)|~(growth_rate(efficient_producers,X2)=zero))&(~(greater(growth_rate(first_movers,X2),zero))|~(greater(zero,growth_rate(efficient_producers,X2)))))&(~(greater(growth_rate(efficient_producers,X2),zero))|~(greater(zero,growth_rate(first_movers,X2)))))),inference(fof_nnf,[status(thm)],[9])).
% fof(50, negated_conjecture,?[X3]:?[X4]:(((environment(X3)&subpopulations(first_movers,efficient_producers,X3,X4))&constant(number_of_organizations(X3,X4)))&(((~(growth_rate(first_movers,X4)=zero)|~(growth_rate(efficient_producers,X4)=zero))&(~(greater(growth_rate(first_movers,X4),zero))|~(greater(zero,growth_rate(efficient_producers,X4)))))&(~(greater(growth_rate(efficient_producers,X4),zero))|~(greater(zero,growth_rate(first_movers,X4)))))),inference(variable_rename,[status(thm)],[49])).
% fof(51, negated_conjecture,(((environment(esk1_0)&subpopulations(first_movers,efficient_producers,esk1_0,esk2_0))&constant(number_of_organizations(esk1_0,esk2_0)))&(((~(growth_rate(first_movers,esk2_0)=zero)|~(growth_rate(efficient_producers,esk2_0)=zero))&(~(greater(growth_rate(first_movers,esk2_0),zero))|~(greater(zero,growth_rate(efficient_producers,esk2_0)))))&(~(greater(growth_rate(efficient_producers,esk2_0),zero))|~(greater(zero,growth_rate(first_movers,esk2_0)))))),inference(skolemize,[status(esa)],[50])).
% cnf(52,negated_conjecture,(~greater(zero,growth_rate(first_movers,esk2_0))|~greater(growth_rate(efficient_producers,esk2_0),zero)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,negated_conjecture,(~greater(zero,growth_rate(efficient_producers,esk2_0))|~greater(growth_rate(first_movers,esk2_0),zero)),inference(split_conjunct,[status(thm)],[51])).
% cnf(54,negated_conjecture,(growth_rate(efficient_producers,esk2_0)!=zero|growth_rate(first_movers,esk2_0)!=zero),inference(split_conjunct,[status(thm)],[51])).
% cnf(55,negated_conjecture,(constant(number_of_organizations(esk1_0,esk2_0))),inference(split_conjunct,[status(thm)],[51])).
% cnf(56,negated_conjecture,(subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)),inference(split_conjunct,[status(thm)],[51])).
% cnf(57,negated_conjecture,(environment(esk1_0)),inference(split_conjunct,[status(thm)],[51])).
% cnf(58,negated_conjecture,(in_environment(esk1_0,esk2_0)|~environment(esk1_0)),inference(spm,[status(thm)],[26,56,theory(equality)])).
% cnf(59,negated_conjecture,(in_environment(esk1_0,esk2_0)|$false),inference(rw,[status(thm)],[58,57,theory(equality)])).
% cnf(60,negated_conjecture,(in_environment(esk1_0,esk2_0)),inference(cn,[status(thm)],[59,theory(equality)])).
% cnf(61,negated_conjecture,(greater(cardinality_at_time(first_movers,esk2_0),zero)|~environment(esk1_0)),inference(spm,[status(thm)],[14,56,theory(equality)])).
% cnf(62,negated_conjecture,(greater(cardinality_at_time(first_movers,esk2_0),zero)|$false),inference(rw,[status(thm)],[61,57,theory(equality)])).
% cnf(63,negated_conjecture,(greater(cardinality_at_time(first_movers,esk2_0),zero)),inference(cn,[status(thm)],[62,theory(equality)])).
% cnf(64,negated_conjecture,(greater(cardinality_at_time(efficient_producers,esk2_0),zero)|~environment(esk1_0)),inference(spm,[status(thm)],[13,56,theory(equality)])).
% cnf(65,negated_conjecture,(greater(cardinality_at_time(efficient_producers,esk2_0),zero)|$false),inference(rw,[status(thm)],[64,57,theory(equality)])).
% cnf(66,negated_conjecture,(greater(cardinality_at_time(efficient_producers,esk2_0),zero)),inference(cn,[status(thm)],[65,theory(equality)])).
% cnf(67,plain,(increases(X1)|increases(X2)|constant(X1)|~constant(sum(X2,X1))),inference(er,[status(thm)],[43,theory(equality)])).
% cnf(68,plain,(decreases(X1)|increases(X1)|constant(X1)|~constant(sum(X2,X1))),inference(er,[status(thm)],[41,theory(equality)])).
% cnf(69,plain,(decreases(X1)|increases(X1)|constant(X2)|~constant(sum(X1,X2))),inference(er,[status(thm)],[44,theory(equality)])).
% cnf(70,plain,(decreases(X1)|increases(X1)|constant(X2)|~constant(sum(X2,X1))),inference(er,[status(thm)],[45,theory(equality)])).
% cnf(71,plain,(decreases(X1)|increases(X1)|constant(X1)|~constant(sum(X1,X2))),inference(er,[status(thm)],[48,theory(equality)])).
% cnf(72,plain,(decreases(X1)|decreases(X2)|constant(X1)|~constant(sum(X2,X1))),inference(er,[status(thm)],[42,theory(equality)])).
% cnf(73,plain,(increases(X1)|increases(X2)|constant(X2)|~constant(sum(X2,X1))),inference(er,[status(thm)],[47,theory(equality)])).
% cnf(75,negated_conjecture,(subpopulation(first_movers,esk1_0,esk2_0)|~environment(esk1_0)),inference(spm,[status(thm)],[31,60,theory(equality)])).
% cnf(76,negated_conjecture,(subpopulation(efficient_producers,esk1_0,esk2_0)|~environment(esk1_0)),inference(spm,[status(thm)],[30,60,theory(equality)])).
% cnf(77,negated_conjecture,(subpopulation(first_movers,esk1_0,esk2_0)|$false),inference(rw,[status(thm)],[75,57,theory(equality)])).
% cnf(78,negated_conjecture,(subpopulation(first_movers,esk1_0,esk2_0)),inference(cn,[status(thm)],[77,theory(equality)])).
% cnf(79,negated_conjecture,(subpopulation(efficient_producers,esk1_0,esk2_0)|$false),inference(rw,[status(thm)],[76,57,theory(equality)])).
% cnf(80,negated_conjecture,(subpopulation(efficient_producers,esk1_0,esk2_0)),inference(cn,[status(thm)],[79,theory(equality)])).
% cnf(81,negated_conjecture,(growth_rate(first_movers,esk2_0)=zero|~constant(cardinality_at_time(first_movers,esk2_0))|~in_environment(X1,esk2_0)|~subpopulation(first_movers,X1,esk2_0)|~environment(X1)),inference(spm,[status(thm)],[37,63,theory(equality)])).
% cnf(82,negated_conjecture,(greater(zero,growth_rate(first_movers,esk2_0))|~decreases(cardinality_at_time(first_movers,esk2_0))|~in_environment(esk1_0,esk2_0)|~greater(cardinality_at_time(first_movers,esk2_0),zero)|~environment(esk1_0)),inference(spm,[status(thm)],[35,78,theory(equality)])).
% cnf(83,negated_conjecture,(greater(growth_rate(first_movers,esk2_0),zero)|~increases(cardinality_at_time(first_movers,esk2_0))|~in_environment(esk1_0,esk2_0)|~greater(cardinality_at_time(first_movers,esk2_0),zero)|~environment(esk1_0)),inference(spm,[status(thm)],[36,78,theory(equality)])).
% cnf(84,negated_conjecture,(sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0))=number_of_organizations(esk1_0,esk2_0)|~environment(esk1_0)),inference(spm,[status(thm)],[21,78,theory(equality)])).
% cnf(87,negated_conjecture,(greater(zero,growth_rate(first_movers,esk2_0))|~decreases(cardinality_at_time(first_movers,esk2_0))|$false|~greater(cardinality_at_time(first_movers,esk2_0),zero)|~environment(esk1_0)),inference(rw,[status(thm)],[82,60,theory(equality)])).
% cnf(88,negated_conjecture,(greater(zero,growth_rate(first_movers,esk2_0))|~decreases(cardinality_at_time(first_movers,esk2_0))|$false|$false|~environment(esk1_0)),inference(rw,[status(thm)],[87,63,theory(equality)])).
% cnf(89,negated_conjecture,(greater(zero,growth_rate(first_movers,esk2_0))|~decreases(cardinality_at_time(first_movers,esk2_0))|$false|$false|$false),inference(rw,[status(thm)],[88,57,theory(equality)])).
% cnf(90,negated_conjecture,(greater(zero,growth_rate(first_movers,esk2_0))|~decreases(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[89,theory(equality)])).
% cnf(91,negated_conjecture,(greater(growth_rate(first_movers,esk2_0),zero)|~increases(cardinality_at_time(first_movers,esk2_0))|$false|~greater(cardinality_at_time(first_movers,esk2_0),zero)|~environment(esk1_0)),inference(rw,[status(thm)],[83,60,theory(equality)])).
% cnf(92,negated_conjecture,(greater(growth_rate(first_movers,esk2_0),zero)|~increases(cardinality_at_time(first_movers,esk2_0))|$false|$false|~environment(esk1_0)),inference(rw,[status(thm)],[91,63,theory(equality)])).
% cnf(93,negated_conjecture,(greater(growth_rate(first_movers,esk2_0),zero)|~increases(cardinality_at_time(first_movers,esk2_0))|$false|$false|$false),inference(rw,[status(thm)],[92,57,theory(equality)])).
% cnf(94,negated_conjecture,(greater(growth_rate(first_movers,esk2_0),zero)|~increases(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[93,theory(equality)])).
% cnf(95,negated_conjecture,(sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0))=number_of_organizations(esk1_0,esk2_0)|$false),inference(rw,[status(thm)],[84,57,theory(equality)])).
% cnf(96,negated_conjecture,(sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0))=number_of_organizations(esk1_0,esk2_0)),inference(cn,[status(thm)],[95,theory(equality)])).
% cnf(102,negated_conjecture,(greater(zero,growth_rate(efficient_producers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))|~in_environment(esk1_0,esk2_0)|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)|~environment(esk1_0)),inference(spm,[status(thm)],[35,80,theory(equality)])).
% cnf(103,negated_conjecture,(greater(growth_rate(efficient_producers,esk2_0),zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))|~in_environment(esk1_0,esk2_0)|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)|~environment(esk1_0)),inference(spm,[status(thm)],[36,80,theory(equality)])).
% cnf(107,negated_conjecture,(greater(zero,growth_rate(efficient_producers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))|$false|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)|~environment(esk1_0)),inference(rw,[status(thm)],[102,60,theory(equality)])).
% cnf(108,negated_conjecture,(greater(zero,growth_rate(efficient_producers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))|$false|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)|$false),inference(rw,[status(thm)],[107,57,theory(equality)])).
% cnf(109,negated_conjecture,(greater(zero,growth_rate(efficient_producers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)),inference(cn,[status(thm)],[108,theory(equality)])).
% cnf(110,negated_conjecture,(greater(growth_rate(efficient_producers,esk2_0),zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))|$false|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)|~environment(esk1_0)),inference(rw,[status(thm)],[103,60,theory(equality)])).
% cnf(111,negated_conjecture,(greater(growth_rate(efficient_producers,esk2_0),zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))|$false|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)|$false),inference(rw,[status(thm)],[110,57,theory(equality)])).
% cnf(112,negated_conjecture,(greater(growth_rate(efficient_producers,esk2_0),zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))|~greater(cardinality_at_time(efficient_producers,esk2_0),zero)),inference(cn,[status(thm)],[111,theory(equality)])).
% cnf(119,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero|~constant(cardinality_at_time(efficient_producers,esk2_0))|~in_environment(X1,esk2_0)|~subpopulation(efficient_producers,X1,esk2_0)|~environment(X1)),inference(spm,[status(thm)],[37,66,theory(equality)])).
% cnf(128,negated_conjecture,(~greater(zero,growth_rate(efficient_producers,esk2_0))|~increases(cardinality_at_time(first_movers,esk2_0))),inference(spm,[status(thm)],[53,94,theory(equality)])).
% cnf(130,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[67,96,theory(equality)])).
% cnf(131,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|$false),inference(rw,[status(thm)],[130,55,theory(equality)])).
% cnf(132,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(cn,[status(thm)],[131,theory(equality)])).
% cnf(137,negated_conjecture,(greater(zero,growth_rate(efficient_producers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))|$false),inference(rw,[status(thm)],[109,66,theory(equality)])).
% cnf(138,negated_conjecture,(greater(zero,growth_rate(efficient_producers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))),inference(cn,[status(thm)],[137,theory(equality)])).
% cnf(139,negated_conjecture,(~increases(cardinality_at_time(first_movers,esk2_0))|~decreases(cardinality_at_time(efficient_producers,esk2_0))),inference(spm,[status(thm)],[128,138,theory(equality)])).
% cnf(140,negated_conjecture,(greater(growth_rate(efficient_producers,esk2_0),zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))|$false),inference(rw,[status(thm)],[112,66,theory(equality)])).
% cnf(141,negated_conjecture,(greater(growth_rate(efficient_producers,esk2_0),zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))),inference(cn,[status(thm)],[140,theory(equality)])).
% cnf(142,negated_conjecture,(~greater(zero,growth_rate(first_movers,esk2_0))|~increases(cardinality_at_time(efficient_producers,esk2_0))),inference(spm,[status(thm)],[52,141,theory(equality)])).
% cnf(143,negated_conjecture,(decreases(cardinality_at_time(efficient_producers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[68,96,theory(equality)])).
% cnf(144,negated_conjecture,(decreases(cardinality_at_time(efficient_producers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|$false),inference(rw,[status(thm)],[143,55,theory(equality)])).
% cnf(145,negated_conjecture,(decreases(cardinality_at_time(efficient_producers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(cn,[status(thm)],[144,theory(equality)])).
% cnf(146,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[69,96,theory(equality)])).
% cnf(147,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|$false),inference(rw,[status(thm)],[146,55,theory(equality)])).
% cnf(148,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(cn,[status(thm)],[147,theory(equality)])).
% cnf(149,negated_conjecture,(~increases(cardinality_at_time(efficient_producers,esk2_0))|~decreases(cardinality_at_time(first_movers,esk2_0))),inference(spm,[status(thm)],[142,90,theory(equality)])).
% cnf(150,negated_conjecture,(increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~increases(cardinality_at_time(first_movers,esk2_0))),inference(spm,[status(thm)],[139,145,theory(equality)])).
% cnf(151,negated_conjecture,(increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(csr,[status(thm)],[150,132])).
% cnf(152,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~increases(cardinality_at_time(efficient_producers,esk2_0))),inference(spm,[status(thm)],[149,148,theory(equality)])).
% cnf(153,negated_conjecture,(decreases(cardinality_at_time(efficient_producers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[70,96,theory(equality)])).
% cnf(154,negated_conjecture,(decreases(cardinality_at_time(efficient_producers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|$false),inference(rw,[status(thm)],[153,55,theory(equality)])).
% cnf(155,negated_conjecture,(decreases(cardinality_at_time(efficient_producers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[154,theory(equality)])).
% cnf(156,negated_conjecture,(increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|~increases(cardinality_at_time(first_movers,esk2_0))),inference(spm,[status(thm)],[139,155,theory(equality)])).
% cnf(157,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[71,96,theory(equality)])).
% cnf(158,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|$false),inference(rw,[status(thm)],[157,55,theory(equality)])).
% cnf(159,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[158,theory(equality)])).
% cnf(160,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|decreases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[72,96,theory(equality)])).
% cnf(161,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|decreases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|$false),inference(rw,[status(thm)],[160,55,theory(equality)])).
% cnf(162,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|decreases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(cn,[status(thm)],[161,theory(equality)])).
% cnf(163,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(csr,[status(thm)],[152,151])).
% cnf(164,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|~increases(cardinality_at_time(efficient_producers,esk2_0))),inference(spm,[status(thm)],[149,159,theory(equality)])).
% cnf(168,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))|~increases(cardinality_at_time(first_movers,esk2_0))),inference(spm,[status(thm)],[139,162,theory(equality)])).
% cnf(169,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|~constant(number_of_organizations(esk1_0,esk2_0))),inference(spm,[status(thm)],[73,96,theory(equality)])).
% cnf(170,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|$false),inference(rw,[status(thm)],[169,55,theory(equality)])).
% cnf(171,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[170,theory(equality)])).
% cnf(175,negated_conjecture,(growth_rate(first_movers,esk2_0)=zero|~constant(cardinality_at_time(first_movers,esk2_0))|~in_environment(X1,esk2_0)|~environment(X1)),inference(csr,[status(thm)],[81,31])).
% cnf(176,negated_conjecture,(growth_rate(first_movers,esk2_0)=zero|~constant(cardinality_at_time(first_movers,esk2_0))|~environment(esk1_0)),inference(spm,[status(thm)],[175,60,theory(equality)])).
% cnf(177,negated_conjecture,(growth_rate(first_movers,esk2_0)=zero|~constant(cardinality_at_time(first_movers,esk2_0))|$false),inference(rw,[status(thm)],[176,57,theory(equality)])).
% cnf(178,negated_conjecture,(growth_rate(first_movers,esk2_0)=zero|~constant(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[177,theory(equality)])).
% cnf(179,negated_conjecture,(decreases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(efficient_producers,esk2_0))),inference(csr,[status(thm)],[168,163])).
% cnf(180,negated_conjecture,(constant(cardinality_at_time(efficient_producers,esk2_0))|~increases(cardinality_at_time(efficient_producers,esk2_0))),inference(spm,[status(thm)],[149,179,theory(equality)])).
% cnf(181,negated_conjecture,(constant(cardinality_at_time(efficient_producers,esk2_0))),inference(csr,[status(thm)],[180,151])).
% cnf(191,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))),inference(csr,[status(thm)],[171,164])).
% cnf(194,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero|$false|~in_environment(X1,esk2_0)|~subpopulation(efficient_producers,X1,esk2_0)|~environment(X1)),inference(rw,[status(thm)],[119,181,theory(equality)])).
% cnf(195,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero|~in_environment(X1,esk2_0)|~subpopulation(efficient_producers,X1,esk2_0)|~environment(X1)),inference(cn,[status(thm)],[194,theory(equality)])).
% cnf(196,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero|~in_environment(X1,esk2_0)|~environment(X1)),inference(csr,[status(thm)],[195,30])).
% cnf(197,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero|~environment(esk1_0)),inference(spm,[status(thm)],[196,60,theory(equality)])).
% cnf(198,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero|$false),inference(rw,[status(thm)],[197,57,theory(equality)])).
% cnf(199,negated_conjecture,(growth_rate(efficient_producers,esk2_0)=zero),inference(cn,[status(thm)],[198,theory(equality)])).
% cnf(200,negated_conjecture,(~increases(cardinality_at_time(first_movers,esk2_0))|~greater(zero,zero)),inference(rw,[status(thm)],[128,199,theory(equality)])).
% cnf(204,negated_conjecture,(greater(zero,zero)|~increases(cardinality_at_time(efficient_producers,esk2_0))),inference(rw,[status(thm)],[141,199,theory(equality)])).
% cnf(207,negated_conjecture,(growth_rate(first_movers,esk2_0)!=zero|$false),inference(rw,[status(thm)],[54,199,theory(equality)])).
% cnf(208,negated_conjecture,(growth_rate(first_movers,esk2_0)!=zero),inference(cn,[status(thm)],[207,theory(equality)])).
% cnf(210,negated_conjecture,(~constant(cardinality_at_time(first_movers,esk2_0))),inference(spm,[status(thm)],[208,178,theory(equality)])).
% cnf(212,negated_conjecture,(increases(cardinality_at_time(first_movers,esk2_0))),inference(sr,[status(thm)],[191,210,theory(equality)])).
% cnf(215,negated_conjecture,(increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))|$false),inference(rw,[status(thm)],[156,212,theory(equality)])).
% cnf(216,negated_conjecture,(increases(cardinality_at_time(efficient_producers,esk2_0))|constant(cardinality_at_time(first_movers,esk2_0))),inference(cn,[status(thm)],[215,theory(equality)])).
% cnf(217,negated_conjecture,(increases(cardinality_at_time(efficient_producers,esk2_0))),inference(sr,[status(thm)],[216,210,theory(equality)])).
% cnf(229,negated_conjecture,($false|~greater(zero,zero)),inference(rw,[status(thm)],[200,212,theory(equality)])).
% cnf(230,negated_conjecture,(~greater(zero,zero)),inference(cn,[status(thm)],[229,theory(equality)])).
% cnf(234,negated_conjecture,(greater(zero,zero)|$false),inference(rw,[status(thm)],[204,217,theory(equality)])).
% cnf(235,negated_conjecture,(greater(zero,zero)),inference(cn,[status(thm)],[234,theory(equality)])).
% cnf(236,negated_conjecture,($false),inference(sr,[status(thm)],[235,230,theory(equality)])).
% cnf(237,negated_conjecture,($false),236,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 113
% # ...of these trivial : 4
% # ...subsumed : 6
% # ...remaining for further processing: 103
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 7
% # Backward-rewritten : 18
% # Generated clauses : 69
% # ...of the previous two non-trivial : 78
% # Contextual simplify-reflections : 8
% # Paramodulations : 59
% # Factorizations : 0
% # Equation resolutions : 8
% # Current number of processed clauses: 49
% # Positive orientable unit clauses: 14
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 31
% # Current number of unprocessed clauses: 16
% # ...number of literals in the above : 54
% # Clause-clause subsumption calls (NU) : 106
% # Rec. Clause-clause subsumption calls : 77
% # Unit Clause-clause subsumption calls : 8
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4
% # Indexed BW rewrite successes : 4
% # Backwards rewriting index: 52 leaves, 1.33+/-0.671 terms/leaf
% # Paramod-from index: 16 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 33 leaves, 1.21+/-0.477 terms/leaf
% # -------------------------------------------------
% # User time : 0.015 s
% # System time : 0.007 s
% # Total time : 0.022 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.12 CPU 0.23 WC
% FINAL PrfWatch: 0.12 CPU 0.23 WC
% SZS output end Solution for /tmp/SystemOnTPTP27647/MGT025+1.tptp
%
%------------------------------------------------------------------------------