TSTP Solution File: MGT032+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n029.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  : 600s
% DateTime : Sun Jul 17 22:10:30 EDT 2022

% Result   : Theorem 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 12:11:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  # No SInE strategy applied
% 0.20/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.36  #
% 0.20/0.36  # Presaturation interreduction done
% 0.20/0.36  # Number of axioms: 8 Number of unprocessed: 8
% 0.20/0.36  # Tableaux proof search.
% 0.20/0.36  # APR header successfully linked.
% 0.20/0.36  # Hello from C++
% 0.20/0.37  # The folding up rule is enabled...
% 0.20/0.37  # Local unification is enabled...
% 0.20/0.37  # Any saturation attempts will use folding labels...
% 0.20/0.37  # 8 beginning clauses after preprocessing and clausification
% 0.20/0.37  # Creating start rules for all 5 conjectures.
% 0.20/0.37  # There are 5 start rule candidates:
% 0.20/0.37  # Found 2 unit axioms.
% 0.20/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.37  # 5 start rule tableaux created.
% 0.20/0.37  # 6 extension rule candidate clauses
% 0.20/0.37  # 2 unit axiom clauses
% 0.20/0.37  
% 0.20/0.37  # Requested 8, 32 cores available to the main process.
% 0.20/0.37  # There are not enough tableaux to fork, creating more from the initial 5
% 0.20/0.37  # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.37  # We now have 10 tableaux to operate on
% 0.20/0.37  # There were 1 total branch saturation attempts.
% 0.20/0.37  # There were 0 of these attempts blocked.
% 0.20/0.37  # There were 0 deferred branch saturation attempts.
% 0.20/0.37  # There were 0 free duplicated saturations.
% 0.20/0.37  # There were 1 total successful branch saturations.
% 0.20/0.37  # There were 0 successful branch saturations in interreduction.
% 0.20/0.37  # There were 0 successful branch saturations on the branch.
% 0.20/0.37  # There were 1 successful branch saturations after the branch.
% 0.20/0.37  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37  # Begin clausification derivation
% 0.20/0.37  
% 0.20/0.37  # End clausification derivation
% 0.20/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.37  cnf(i_0_8, negated_conjecture, (environment(esk2_0))).
% 0.20/0.37  cnf(i_0_7, negated_conjecture, (stable(esk2_0))).
% 0.20/0.37  cnf(i_0_4, negated_conjecture, (~in_environment(esk2_0,X1)|~selection_favors(efficient_producers,first_movers,esk3_1(X1)))).
% 0.20/0.37  cnf(i_0_6, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X1))|~in_environment(esk2_0,X1))).
% 0.20/0.37  cnf(i_0_5, negated_conjecture, (greater_or_equal(esk3_1(X1),X1)|~in_environment(esk2_0,X1))).
% 0.20/0.37  cnf(i_0_3, hypothesis, (in_environment(X1,esk1_1(X1))|~stable(X1)|~environment(X1))).
% 0.20/0.37  cnf(i_0_2, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~greater_or_equal(X1,esk1_1(X2))|~stable(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2))).
% 0.20/0.37  cnf(i_0_1, plain, (selection_favors(X1,X2,X3)|~greater(growth_rate(X1,X3),growth_rate(X2,X3))|~subpopulations(X2,X1,X4,X3)|~environment(X4))).
% 0.20/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.20/0.37  # Begin printing tableau
% 0.20/0.37  # Found 5 steps
% 0.20/0.37  cnf(i_0_8, negated_conjecture, (environment(esk2_0)), inference(start_rule)).
% 0.20/0.37  cnf(i_0_16, plain, (environment(esk2_0)), inference(extension_rule, [i_0_3])).
% 0.20/0.37  cnf(i_0_144, plain, (~stable(esk2_0)), inference(closure_rule, [i_0_7])).
% 0.20/0.37  cnf(i_0_143, plain, (in_environment(esk2_0,esk1_1(esk2_0))), inference(extension_rule, [i_0_5])).
% 0.20/0.37  cnf(i_0_155, plain, (greater_or_equal(esk3_1(esk1_1(esk2_0)),esk1_1(esk2_0))), inference(etableau_closure_rule, [i_0_155, ...])).
% 0.20/0.37  # End printing tableau
% 0.20/0.37  # SZS output end
% 0.20/0.37  # Branches closed with saturation will be marked with an "s"
% 0.20/0.37  # There were 1 total branch saturation attempts.
% 0.20/0.37  # There were 0 of these attempts blocked.
% 0.20/0.37  # There were 0 deferred branch saturation attempts.
% 0.20/0.37  # There were 0 free duplicated saturations.
% 0.20/0.37  # There were 1 total successful branch saturations.
% 0.20/0.37  # There were 0 successful branch saturations in interreduction.
% 0.20/0.37  # There were 0 successful branch saturations on the branch.
% 0.20/0.37  # There were 1 successful branch saturations after the branch.
% 0.20/0.37  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37  # Begin clausification derivation
% 0.20/0.37  
% 0.20/0.37  # End clausification derivation
% 0.20/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.37  cnf(i_0_8, negated_conjecture, (environment(esk2_0))).
% 0.20/0.37  cnf(i_0_7, negated_conjecture, (stable(esk2_0))).
% 0.20/0.37  cnf(i_0_4, negated_conjecture, (~in_environment(esk2_0,X1)|~selection_favors(efficient_producers,first_movers,esk3_1(X1)))).
% 0.20/0.37  cnf(i_0_6, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X1))|~in_environment(esk2_0,X1))).
% 0.20/0.37  cnf(i_0_5, negated_conjecture, (greater_or_equal(esk3_1(X1),X1)|~in_environment(esk2_0,X1))).
% 0.20/0.37  cnf(i_0_3, hypothesis, (in_environment(X1,esk1_1(X1))|~stable(X1)|~environment(X1))).
% 0.20/0.37  cnf(i_0_2, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~greater_or_equal(X1,esk1_1(X2))|~stable(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2))).
% 0.20/0.37  cnf(i_0_1, plain, (selection_favors(X1,X2,X3)|~greater(growth_rate(X1,X3),growth_rate(X2,X3))|~subpopulations(X2,X1,X4,X3)|~environment(X4))).
% 0.20/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.20/0.37  # Begin printing tableau
% 0.20/0.37  # Found 5 steps
% 0.20/0.37  cnf(i_0_7, negated_conjecture, (stable(esk2_0)), inference(start_rule)).
% 0.20/0.37  cnf(i_0_15, plain, (stable(esk2_0)), inference(extension_rule, [i_0_3])).
% 0.20/0.37  cnf(i_0_127, plain, (~environment(esk2_0)), inference(closure_rule, [i_0_8])).
% 0.20/0.37  cnf(i_0_125, plain, (in_environment(esk2_0,esk1_1(esk2_0))), inference(extension_rule, [i_0_5])).
% 0.20/0.37  cnf(i_0_155, plain, (greater_or_equal(esk3_1(esk1_1(esk2_0)),esk1_1(esk2_0))), inference(etableau_closure_rule, [i_0_155, ...])).
% 0.20/0.37  # End printing tableau
% 0.20/0.37  # SZS output end
% 0.20/0.37  # Branches closed with saturation will be marked with an "s"
% 0.20/0.37  # Child (9764) has found a proof.
% 0.20/0.37  
% 0.20/0.37  # Proof search is over...
% 0.20/0.37  # Freeing feature tree
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