TSTP Solution File: MGT032+2 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n020.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 14:21:53 EDT 2024

% Result   : Theorem 0.13s 0.34s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n020.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 03:17:28 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % SZS status Theorem for theBenchmark
% 0.13/0.34  % SZS output start Proof for theBenchmark
% 0.13/0.34  
% 0.13/0.34  % Formula: mp1_high_growth_rates ( axiom ) converted to clauses:
% 0.13/0.34  cnf(mp1_high_growth_rates-1, axiom, ( ~environment(_u3) | ~subpopulations(_u2, _u1, _u3, _u0) | ~greater(growth_rate(_u1, _u0), growth_rate(_u2, _u0)) | selection_favors(_u1, _u2, _u0) )).
% 0.13/0.34  
% 0.13/0.34  % Formula: l1 ( hypothesis ) converted to clauses:
% 0.13/0.34  cnf(l1-1, hypothesis, ( ~environment(_u6) | ~stable(_u6) | in_environment(_u6, skolem1(_u6)) )).
% 0.13/0.34  cnf(l1-2, hypothesis, ( ~environment(_u6) | ~stable(_u6) | ~subpopulations(first_movers, efficient_producers, _u6, _u4) | ~greater_or_equal(_u4, skolem1(_u6)) | greater(growth_rate(efficient_producers, _u4), growth_rate(first_movers, _u4)) )).
% 0.13/0.34  
% 0.13/0.34  % Formula: prove_t1 ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.34  cnf(prove_t1-1, negated_conjecture, ( environment(skolem2) )).
% 0.13/0.34  cnf(prove_t1-2, negated_conjecture, ( stable(skolem2) )).
% 0.13/0.34  cnf(prove_t1-3, negated_conjecture, ( ~in_environment(skolem2, _u8) | ~_def0(_u8) )).
% 0.13/0.34  cnf(prove_t1-4, negated_conjecture, ( _def0(_u8) | subpopulations(first_movers, efficient_producers, skolem2, skolem3(_u8)) )).
% 0.13/0.34  cnf(prove_t1-5, negated_conjecture, ( _def0(_u8) | greater_or_equal(skolem3(_u8), _u8) )).
% 0.13/0.34  cnf(prove_t1-6, negated_conjecture, ( _def0(_u8) | ~selection_favors(efficient_producers, first_movers, skolem3(_u8)) )).
% 0.13/0.34  
% 0.13/0.34  % Problem matrix:
% 0.13/0.34  cnf(matrix-0, plain, ( ~environment(_u3) | ~subpopulations(_u2, _u1, _u3, _u0) | ~greater(growth_rate(_u1, _u0), growth_rate(_u2, _u0)) | selection_favors(_u1, _u2, _u0) )).
% 0.13/0.34  cnf(matrix-1, plain, ( ~environment(_u6) | ~stable(_u6) | in_environment(_u6, skolem1(_u6)) )).
% 0.13/0.34  cnf(matrix-2, plain, ( ~environment(_u6) | ~stable(_u6) | ~subpopulations(first_movers, efficient_producers, _u6, _u4) | ~greater_or_equal(_u4, skolem1(_u6)) | greater(growth_rate(efficient_producers, _u4), growth_rate(first_movers, _u4)) )).
% 0.13/0.34  cnf(matrix-3, plain, ( environment(skolem2) )).
% 0.13/0.34  cnf(matrix-4, plain, ( stable(skolem2) )).
% 0.13/0.34  cnf(matrix-5, plain, ( ~in_environment(skolem2, _u8) | ~_def0(_u8) )).
% 0.13/0.34  cnf(matrix-6, plain, ( _def0(_u8) | subpopulations(first_movers, efficient_producers, skolem2, skolem3(_u8)) )).
% 0.13/0.34  cnf(matrix-7, plain, ( _def0(_u8) | greater_or_equal(skolem3(_u8), _u8) )).
% 0.13/0.34  cnf(matrix-8, plain, ( _def0(_u8) | ~selection_favors(efficient_producers, first_movers, skolem3(_u8)) )).
% 0.13/0.34  
% 0.13/0.34  % Proof stack:
% 0.13/0.34  cnf(proof-stack, plain, 
% 0.13/0.34  proof_stack(
% 0.13/0.34  start(5), 
% 0.13/0.34  left_branch(0, 1, 2, 2), 
% 0.13/0.34  left_branch(0, 3, 0, 3), 
% 0.13/0.34  right_branch(3), 
% 0.13/0.34  left_branch(0, 4, 0, 4), 
% 0.13/0.34  right_branch(4), 
% 0.13/0.34  right_branch(2), 
% 0.13/0.34  left_branch(0, 8, 0, 3), 
% 0.13/0.34  left_branch(0, 0, 3, 4), 
% 0.13/0.34  left_branch(0, 3, 0, 5), 
% 0.13/0.34  right_branch(5), 
% 0.13/0.34  left_branch(0, 2, 4, 6), 
% 0.13/0.34  left_branch(0, 3, 0, 7), 
% 0.13/0.34  right_branch(7), 
% 0.13/0.34  left_branch(0, 7, 1, 8), 
% 0.13/0.34  reduction(0, 0), 
% 0.13/0.34  right_branch(8), 
% 0.13/0.34  left_branch(0, 6, 1, 9), 
% 0.13/0.34  reduction(0, 0), 
% 0.13/0.34  right_branch(9), 
% 0.13/0.34  left_branch(0, 4, 0, 10), 
% 0.13/0.34  right_branch(10), 
% 0.13/0.34  right_branch(6), 
% 0.13/0.34  left_branch(0, 6, 1, 7), 
% 0.13/0.34  reduction(0, 0), 
% 0.13/0.34  right_branch(7), 
% 0.13/0.34  right_branch(4), 
% 0.13/0.34  right_branch(3)
% 0.13/0.34  )).
% 0.13/0.34  % SZS output end Proof for theBenchmark
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