TSTP Solution File: MGT024-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n011.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  : 300s
% DateTime : Mon Mar 25 14:21:51 EDT 2024

% Result   : Unsatisfiable 18.50s 18.65s
% Output   : Proof 18.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n011.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  : 300
% 0.13/0.34  % DateTime : Thu Mar 21 03:19:12 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 18.50/18.65  % SZS status Unsatisfiable for theBenchmark
% 18.50/18.65  % SZS output start Proof for theBenchmark
% 18.50/18.65  
% 18.50/18.65  % Problem matrix:
% 18.50/18.65  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 18.50/18.65  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 18.50/18.65  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 18.50/18.65  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( number_of_organizations(__eqx_0, __eqx_1) = number_of_organizations(__eqy_0, __eqy_1)) )).
% 18.50/18.65  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( equilibrium(__eqx_0) = equilibrium(__eqy_0)) )).
% 18.50/18.65  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( resources(__eqx_0, __eqx_1) = resources(__eqy_0, __eqy_1)) )).
% 18.50/18.65  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( growth_rate(__eqx_0, __eqx_1) = growth_rate(__eqy_0, __eqy_1)) )).
% 18.50/18.65  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~environment(__eqx_0) | environment(__eqy_0) )).
% 18.50/18.65  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~subpopulations(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | subpopulations(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 18.50/18.65  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in_environment(__eqx_0, __eqx_1) | in_environment(__eqy_0, __eqy_1) )).
% 18.50/18.65  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 18.50/18.65  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater_or_equal(__eqx_0, __eqx_1) | greater_or_equal(__eqy_0, __eqy_1) )).
% 18.50/18.65  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~decreases(__eqx_0) | decreases(__eqy_0) )).
% 18.50/18.65  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~constant(__eqx_0) | constant(__eqy_0) )).
% 18.50/18.65  cnf(matrix-14, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | in_environment(A, B) )).
% 18.50/18.65  cnf(matrix-15, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | greater(number_of_organizations(A, B), zero) )).
% 18.50/18.65  cnf(matrix-16, plain, ( ~environment(A) | ~greater_or_equal(B, equilibrium(A)) | ~greater(equilibrium(A), B) )).
% 18.50/18.65  cnf(matrix-17, plain, ( ~environment(A) | ~in_environment(A, B) | ~greater(number_of_organizations(A, B), zero) | ~greater(equilibrium(A), B) | decreases(resources(A, B)) )).
% 18.50/18.65  cnf(matrix-18, plain, ( ~environment(A) | ~in_environment(A, B) | ~greater(number_of_organizations(A, B), zero) | greater(equilibrium(A), B) | constant(resources(A, B)) )).
% 18.50/18.65  cnf(matrix-19, plain, ( ~environment(A) | ~in_environment(A, B) | ~decreases(resources(A, B)) | ~decreases(number_of_organizations(A, B)) )).
% 18.50/18.65  cnf(matrix-20, plain, ( ~environment(A) | ~in_environment(A, B) | ~constant(resources(A, B)) | constant(number_of_organizations(A, B)) )).
% 18.50/18.65  cnf(matrix-21, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(first_movers, B) = zero) | greater(growth_rate(first_movers, B), zero) | greater(growth_rate(efficient_producers, B), zero) )).
% 18.50/18.65  cnf(matrix-22, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(first_movers, B) = zero) | greater(growth_rate(first_movers, B), zero) | greater(zero, growth_rate(first_movers, B)) )).
% 18.50/18.65  cnf(matrix-23, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(first_movers, B) = zero) | greater(zero, growth_rate(efficient_producers, B)) | greater(growth_rate(efficient_producers, B), zero) )).
% 18.50/18.65  cnf(matrix-24, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(first_movers, B) = zero) | greater(zero, growth_rate(efficient_producers, B)) | greater(zero, growth_rate(first_movers, B)) )).
% 18.50/18.65  cnf(matrix-25, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(efficient_producers, B) = zero) | greater(growth_rate(first_movers, B), zero) | greater(growth_rate(efficient_producers, B), zero) )).
% 18.50/18.65  cnf(matrix-26, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(efficient_producers, B) = zero) | greater(growth_rate(first_movers, B), zero) | greater(zero, growth_rate(first_movers, B)) )).
% 18.50/18.65  cnf(matrix-27, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(efficient_producers, B) = zero) | greater(zero, growth_rate(efficient_producers, B)) | greater(growth_rate(efficient_producers, B), zero) )).
% 18.50/18.65  cnf(matrix-28, plain, ( ~environment(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~constant(number_of_organizations(A, B)) | ( growth_rate(efficient_producers, B) = zero) | greater(zero, growth_rate(efficient_producers, B)) | greater(zero, growth_rate(first_movers, B)) )).
% 18.50/18.65  cnf(matrix-29, plain, ( environment(sk1) )).
% 18.50/18.65  cnf(matrix-30, plain, ( subpopulations(first_movers, efficient_producers, sk1, sk2) )).
% 18.50/18.65  cnf(matrix-31, plain, ( greater_or_equal(sk2, equilibrium(sk1)) )).
% 18.50/18.65  cnf(matrix-32, plain, ( ( growth_rate(first_movers, sk2) != zero) | ( growth_rate(efficient_producers, sk2) != zero) )).
% 18.50/18.65  cnf(matrix-33, plain, ( ~greater(growth_rate(first_movers, sk2), zero) | ~greater(zero, growth_rate(efficient_producers, sk2)) )).
% 18.50/18.65  cnf(matrix-34, plain, ( ~greater(growth_rate(efficient_producers, sk2), zero) | ~greater(zero, growth_rate(first_movers, sk2)) )).
% 18.50/18.65  
% 18.50/18.65  % Proof stack:
% 18.50/18.65  cnf(proof-stack, plain, 
% 18.50/18.65  proof_stack(
% 18.50/18.65  start(29), 
% 18.50/18.65  left_branch(0, 20, 0, 2), 
% 18.50/18.65  left_branch(0, 26, 2, 3), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  left_branch(0, 10, 2, 5), 
% 18.50/18.65  left_branch(0, 24, 3, 6), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  left_branch(0, 33, 1, 8), 
% 18.50/18.65  reduction(0, 2), 
% 18.50/18.65  right_branch(8), 
% 18.50/18.65  left_branch(0, 34, 1, 9), 
% 18.50/18.65  left_branch(0, 23, 5, 10), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  lemmata(0, 2), 
% 18.50/18.65  reduction(0, 3), 
% 18.50/18.65  reduction(0, 1), 
% 18.50/18.65  left_branch(0, 30, 0, 15), 
% 18.50/18.65  right_branch(15), 
% 18.50/18.65  right_branch(10), 
% 18.50/18.65  right_branch(9), 
% 18.50/18.65  reduction(0, 1), 
% 18.50/18.65  left_branch(0, 30, 0, 11), 
% 18.50/18.65  right_branch(11), 
% 18.50/18.65  right_branch(6), 
% 18.50/18.65  left_branch(0, 34, 1, 7), 
% 18.50/18.65  left_branch(0, 27, 5, 8), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  left_branch(0, 33, 1, 10), 
% 18.50/18.65  reduction(0, 2), 
% 18.50/18.65  right_branch(10), 
% 18.50/18.65  left_branch(0, 32, 1, 11), 
% 18.50/18.65  lemmata(0, 1), 
% 18.50/18.65  right_branch(11), 
% 18.50/18.65  reduction(0, 1), 
% 18.50/18.65  left_branch(0, 30, 0, 13), 
% 18.50/18.65  right_branch(13), 
% 18.50/18.65  right_branch(8), 
% 18.50/18.65  right_branch(7), 
% 18.50/18.65  left_branch(0, 1, 1, 8), 
% 18.50/18.65  lemmata(0, 1), 
% 18.50/18.65  right_branch(8), 
% 18.50/18.65  right_branch(5), 
% 18.50/18.65  left_branch(0, 32, 1, 6), 
% 18.50/18.65  left_branch(0, 22, 3, 7), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  lemmata(0, 1), 
% 18.50/18.65  left_branch(0, 34, 1, 10), 
% 18.50/18.65  left_branch(0, 21, 5, 11), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  lemmata(0, 1), 
% 18.50/18.65  reduction(0, 3), 
% 18.50/18.65  reduction(0, 1), 
% 18.50/18.65  left_branch(0, 30, 0, 16), 
% 18.50/18.65  right_branch(16), 
% 18.50/18.65  right_branch(11), 
% 18.50/18.65  right_branch(10), 
% 18.50/18.65  reduction(0, 1), 
% 18.50/18.65  left_branch(0, 30, 0, 12), 
% 18.50/18.65  right_branch(12), 
% 18.50/18.65  right_branch(7), 
% 18.50/18.65  right_branch(6), 
% 18.50/18.65  left_branch(0, 34, 1, 7), 
% 18.50/18.65  left_branch(0, 27, 5, 8), 
% 18.50/18.65  reduction(0, 0), 
% 18.50/18.65  left_branch(0, 33, 1, 10), 
% 18.50/18.65  left_branch(0, 25, 4, 11), 
% 18.50/18.66  reduction(0, 0), 
% 18.50/18.66  reduction(0, 3), 
% 18.50/18.66  lemmata(0, 2), 
% 18.50/18.66  reduction(0, 1), 
% 18.50/18.66  left_branch(0, 30, 0, 16), 
% 18.50/18.66  right_branch(16), 
% 18.50/18.66  right_branch(11), 
% 18.50/18.66  right_branch(10), 
% 18.50/18.66  lemmata(0, 2), 
% 18.50/18.66  reduction(0, 1), 
% 18.50/18.66  left_branch(0, 30, 0, 13), 
% 18.50/18.66  right_branch(13), 
% 18.50/18.66  right_branch(8), 
% 18.50/18.66  right_branch(7), 
% 18.50/18.66  left_branch(0, 30, 0, 8), 
% 18.50/18.66  right_branch(8), 
% 18.50/18.66  right_branch(3), 
% 18.50/18.66  left_branch(0, 18, 4, 4), 
% 18.50/18.66  reduction(0, 0), 
% 18.50/18.66  left_branch(0, 16, 2, 6), 
% 18.50/18.66  lemmata(0, 1), 
% 18.50/18.66  left_branch(0, 31, 0, 8), 
% 18.50/18.66  right_branch(8), 
% 18.50/18.66  right_branch(6), 
% 18.50/18.66  left_branch(0, 15, 2, 7), 
% 18.50/18.66  lemmata(0, 1), 
% 18.50/18.66  left_branch(0, 30, 0, 9), 
% 18.50/18.66  right_branch(9), 
% 18.50/18.66  right_branch(7), 
% 18.50/18.66  left_branch(0, 14, 2, 8), 
% 18.50/18.66  lemmata(0, 1), 
% 18.50/18.66  left_branch(0, 30, 0, 10), 
% 18.50/18.66  right_branch(10), 
% 18.50/18.66  right_branch(8), 
% 18.50/18.66  right_branch(4), 
% 18.50/18.66  left_branch(0, 14, 2, 5), 
% 18.50/18.66  reduction(0, 0), 
% 18.50/18.66  left_branch(0, 30, 0, 7), 
% 18.50/18.66  right_branch(7), 
% 18.50/18.66  right_branch(5), 
% 18.50/18.66  right_branch(2)
% 18.50/18.66  )).
% 18.50/18.66  % SZS output end Proof for theBenchmark
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