TSTP Solution File: MGT022+1 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : MGT022+1 : 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 : n021.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   : Theorem 0.13s 0.35s
% 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
% 0.07/0.13  % Problem  : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Mar  4 04:24:03 EST 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% 0.13/0.35  
% 0.13/0.35  % Formula: mp_constant_not_decrease ( axiom ) converted to clauses:
% 0.13/0.35  cnf(mp_constant_not_decrease-1, axiom, ( ~constant(_u0) | ~decreases(_u0) )).
% 0.13/0.35  
% 0.13/0.35  % Formula: a5 ( hypothesis ) converted to clauses:
% 0.13/0.35  cnf(a5-1, hypothesis, ( ~environment(_u4) | ~subpopulations(_u3, _u2, _u4, _u1) | ~greater(resilience(_u2), resilience(_u3)) | ~decreases(resources(_u4, _u1)) | increases(difference(disbanding_rate(_u3, _u1), disbanding_rate(_u2, _u1))) )).
% 0.13/0.35  cnf(a5-2, hypothesis, ( ~environment(_u4) | ~subpopulations(_u3, _u2, _u4, _u1) | ~greater(resilience(_u2), resilience(_u3)) | ~constant(resources(_u4, _u1)) | constant(difference(disbanding_rate(_u3, _u1), disbanding_rate(_u2, _u1))) )).
% 0.13/0.35  
% 0.13/0.35  % Formula: a2 ( hypothesis ) converted to clauses:
% 0.13/0.35  cnf(a2-1, hypothesis, ( greater(resilience(efficient_producers), resilience(first_movers)) )).
% 0.13/0.35  
% 0.13/0.35  % Formula: prove_l4 ( conjecture ) converted to clauses:
% 0.13/0.35  cnf(prove_l4-1, negated_conjecture, ( environment(skolem1) )).
% 0.13/0.36  cnf(prove_l4-2, negated_conjecture, ( subpopulations(first_movers, efficient_producers, skolem1, skolem2) )).
% 0.13/0.36  cnf(prove_l4-3, negated_conjecture, ( decreases(resources(skolem1, skolem2)) | constant(resources(skolem1, skolem2)) )).
% 0.13/0.36  cnf(prove_l4-4, negated_conjecture, ( decreases(resources(skolem1, skolem2)) | decreases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) )).
% 0.13/0.36  cnf(prove_l4-5, negated_conjecture, ( ~increases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) | constant(resources(skolem1, skolem2)) )).
% 0.13/0.36  cnf(prove_l4-6, negated_conjecture, ( ~increases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) | decreases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) )).
% 0.13/0.36  
% 0.13/0.36  % Problem matrix:
% 0.13/0.36  cnf(matrix-0, plain, ( ~constant(_u0) | ~decreases(_u0) )).
% 0.13/0.36  cnf(matrix-1, plain, ( ~environment(_u4) | ~subpopulations(_u3, _u2, _u4, _u1) | ~greater(resilience(_u2), resilience(_u3)) | ~decreases(resources(_u4, _u1)) | increases(difference(disbanding_rate(_u3, _u1), disbanding_rate(_u2, _u1))) )).
% 0.13/0.36  cnf(matrix-2, plain, ( ~environment(_u4) | ~subpopulations(_u3, _u2, _u4, _u1) | ~greater(resilience(_u2), resilience(_u3)) | ~constant(resources(_u4, _u1)) | constant(difference(disbanding_rate(_u3, _u1), disbanding_rate(_u2, _u1))) )).
% 0.13/0.36  cnf(matrix-3, plain, ( greater(resilience(efficient_producers), resilience(first_movers)) )).
% 0.13/0.36  cnf(matrix-4, plain, ( environment(skolem1) )).
% 0.13/0.36  cnf(matrix-5, plain, ( subpopulations(first_movers, efficient_producers, skolem1, skolem2) )).
% 0.13/0.36  cnf(matrix-6, plain, ( decreases(resources(skolem1, skolem2)) | constant(resources(skolem1, skolem2)) )).
% 0.13/0.36  cnf(matrix-7, plain, ( decreases(resources(skolem1, skolem2)) | decreases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) )).
% 0.13/0.36  cnf(matrix-8, plain, ( ~increases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) | constant(resources(skolem1, skolem2)) )).
% 0.13/0.36  cnf(matrix-9, plain, ( ~increases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) | decreases(difference(disbanding_rate(first_movers, skolem2), disbanding_rate(efficient_producers, skolem2))) )).
% 0.13/0.36  
% 0.13/0.36  % Proof stack:
% 0.13/0.36  cnf(proof-stack, plain, 
% 0.13/0.36  proof_stack(
% 0.13/0.36  start(0), 
% 0.13/0.36  left_branch(0, 8, 1, 2), 
% 0.13/0.36  left_branch(0, 1, 4, 3), 
% 0.13/0.36  left_branch(0, 4, 0, 4), 
% 0.13/0.36  right_branch(4), 
% 0.13/0.36  left_branch(0, 6, 0, 5), 
% 0.13/0.36  reduction(0, 0), 
% 0.13/0.36  right_branch(5), 
% 0.13/0.36  left_branch(0, 3, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  left_branch(0, 5, 0, 7), 
% 0.13/0.36  right_branch(7), 
% 0.13/0.36  right_branch(3), 
% 0.13/0.36  right_branch(2), 
% 0.13/0.36  left_branch(0, 7, 0, 3), 
% 0.13/0.36  left_branch(0, 0, 1, 4), 
% 0.13/0.36  left_branch(0, 2, 4, 5), 
% 0.13/0.36  left_branch(0, 4, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  lemmata(0, 0), 
% 0.13/0.36  left_branch(0, 3, 0, 8), 
% 0.13/0.36  right_branch(8), 
% 0.13/0.36  left_branch(0, 5, 0, 9), 
% 0.13/0.36  right_branch(9), 
% 0.13/0.36  right_branch(5), 
% 0.13/0.36  right_branch(4), 
% 0.13/0.36  right_branch(3)
% 0.13/0.36  )).
% 0.13/0.36  % SZS output end Proof for theBenchmark
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