TSTP Solution File: MGT023-1 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : MGT023-1 : 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 : n031.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 : Wed Mar  6 09:10:54 EST 2024

% Result   : Unsatisfiable 0.52s 0.73s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Mar  4 04:47:02 EST 2024
% 0.12/0.33  % CPUTime  : 
% 0.52/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.52/0.73  % SZS output start Proof for theBenchmark
% 0.52/0.73  
% 0.52/0.73  % Problem matrix:
% 0.52/0.73  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.52/0.73  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.52/0.73  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.52/0.73  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( growth_rate(__eqx_0, __eqx_1) = growth_rate(__eqy_0, __eqy_1)) )).
% 0.52/0.73  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sk1(__eqx_0, __eqx_1) = sk1(__eqy_0, __eqy_1)) )).
% 0.52/0.73  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( critical_point(__eqx_0) = critical_point(__eqy_0)) )).
% 0.52/0.73  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( sk2(__eqx_0) = sk2(__eqy_0)) )).
% 0.52/0.73  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~environment(__eqx_0) | environment(__eqy_0) )).
% 0.52/0.73  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.52/0.73  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in_environment(__eqx_0, __eqx_1) | in_environment(__eqy_0, __eqy_1) )).
% 0.52/0.73  cnf(matrix-10, 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) )).
% 0.52/0.73  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~stable(__eqx_0) | stable(__eqy_0) )).
% 0.52/0.73  cnf(matrix-12, plain, ( ~environment(A) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | ~in_environment(A, B) | subpopulations(first_movers, efficient_producers, A, sk1(B, A)) | ( B = critical_point(A)) )).
% 0.52/0.73  cnf(matrix-13, plain, ( ~environment(A) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | ~in_environment(A, B) | greater(sk1(B, A), B) | ( B = critical_point(A)) )).
% 0.52/0.73  cnf(matrix-14, plain, ( ~environment(A) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | ~in_environment(A, B) | ~greater(growth_rate(efficient_producers, sk1(B, A)), growth_rate(first_movers, sk1(B, A))) | ( B = critical_point(A)) )).
% 0.52/0.73  cnf(matrix-15, plain, ( ~environment(A) | ~stable(A) | in_environment(A, sk2(A)) )).
% 0.52/0.73  cnf(matrix-16, plain, ( ~environment(A) | ~stable(A) | ~greater(growth_rate(efficient_producers, sk2(A)), growth_rate(first_movers, sk2(A))) )).
% 0.52/0.73  cnf(matrix-17, plain, ( ~environment(A) | ~stable(A) | ~subpopulations(first_movers, efficient_producers, A, B) | ~greater(B, sk2(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) )).
% 0.52/0.73  cnf(matrix-18, plain, ( environment(sk3) )).
% 0.52/0.73  cnf(matrix-19, plain, ( stable(sk3) )).
% 0.52/0.73  cnf(matrix-20, plain, ( ~in_environment(sk3, critical_point(sk3)) )).
% 0.52/0.73  
% 0.52/0.73  % Proof stack:
% 0.52/0.73  cnf(proof-stack, plain, 
% 0.52/0.73  proof_stack(
% 0.52/0.73  start(20), 
% 0.52/0.73  left_branch(0, 9, 3, 2), 
% 0.52/0.73  left_branch(0, 1, 1, 3), 
% 0.52/0.73  left_branch(0, 0, 0, 4), 
% 0.52/0.73  right_branch(4), 
% 0.52/0.73  right_branch(3), 
% 0.52/0.73  left_branch(0, 15, 2, 4), 
% 0.52/0.73  left_branch(0, 18, 0, 5), 
% 0.52/0.73  right_branch(5), 
% 0.52/0.73  left_branch(0, 19, 0, 6), 
% 0.52/0.73  right_branch(6), 
% 0.52/0.73  right_branch(4), 
% 0.52/0.73  left_branch(0, 14, 4, 5), 
% 0.52/0.73  left_branch(0, 18, 0, 6), 
% 0.52/0.73  right_branch(6), 
% 0.52/0.73  left_branch(0, 17, 4, 7), 
% 0.52/0.73  left_branch(0, 18, 0, 8), 
% 0.52/0.73  right_branch(8), 
% 0.52/0.73  left_branch(0, 13, 3, 9), 
% 0.52/0.73  lemmata(0, 2), 
% 0.52/0.73  reduction(0, 1), 
% 0.52/0.73  lemmata(0, 1), 
% 0.52/0.73  left_branch(0, 16, 2, 13), 
% 0.52/0.73  lemmata(0, 2), 
% 0.52/0.73  left_branch(0, 19, 0, 15), 
% 0.52/0.73  right_branch(15), 
% 0.52/0.73  right_branch(13), 
% 0.52/0.73  right_branch(9), 
% 0.52/0.73  left_branch(0, 12, 3, 10), 
% 0.52/0.73  lemmata(0, 2), 
% 0.52/0.73  reduction(0, 1), 
% 0.52/0.73  lemmata(0, 1), 
% 0.52/0.73  left_branch(0, 16, 2, 14), 
% 0.52/0.73  lemmata(0, 2), 
% 0.52/0.73  left_branch(0, 19, 0, 16), 
% 0.52/0.73  right_branch(16), 
% 0.52/0.73  right_branch(14), 
% 0.52/0.73  right_branch(10), 
% 0.52/0.73  left_branch(0, 19, 0, 11), 
% 0.52/0.73  right_branch(11), 
% 0.52/0.73  right_branch(7), 
% 0.52/0.73  lemmata(0, 1), 
% 0.52/0.73  left_branch(0, 16, 2, 9), 
% 0.52/0.73  lemmata(0, 2), 
% 0.52/0.73  left_branch(0, 19, 0, 11), 
% 0.52/0.73  right_branch(11), 
% 0.52/0.73  right_branch(9), 
% 0.52/0.73  right_branch(5), 
% 0.52/0.73  right_branch(2)
% 0.52/0.73  )).
% 0.52/0.73  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------