TSTP Solution File: MGT023-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : MGT023-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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  : 600s
% DateTime : Sun Jul 17 22:10:27 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT023-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 10:27:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S032N
% 0.12/0.36  # and selection function SelectUnlessUniqMax.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 9 Number of unprocessed: 9
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.37  # The folding up rule is enabled...
% 0.12/0.37  # Local unification is enabled...
% 0.12/0.37  # Any saturation attempts will use folding labels...
% 0.12/0.37  # 9 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 3 conjectures.
% 0.12/0.37  # There are 3 start rule candidates:
% 0.12/0.37  # Found 3 unit axioms.
% 0.12/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37  # 3 start rule tableaux created.
% 0.12/0.37  # 6 extension rule candidate clauses
% 0.12/0.37  # 3 unit axiom clauses
% 0.12/0.37  
% 0.12/0.37  # Requested 8, 32 cores available to the main process.
% 0.12/0.37  # There are not enough tableaux to fork, creating more from the initial 3
% 0.12/0.37  # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37  # We now have 9 tableaux to operate on
% 0.12/0.37  # Creating equality axioms
% 0.12/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37  # Creating equality axioms
% 0.12/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37  # Creating equality axioms
% 0.12/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37  # Creating equality axioms
% 0.12/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_16, negated_conjecture, (environment(sk3))).
% 0.12/0.37  cnf(i_0_17, negated_conjecture, (stable(sk3))).
% 0.12/0.37  cnf(i_0_18, negated_conjecture, (~in_environment(sk3,critical_point(sk3)))).
% 0.12/0.37  cnf(i_0_13, hypothesis, (in_environment(X1,sk2(X1))|~stable(X1)|~environment(X1))).
% 0.12/0.37  cnf(i_0_14, hypothesis, (~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))|~environment(X1))).
% 0.12/0.37  cnf(i_0_11, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|greater(sk1(X1,X2),X1)|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_15, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~stable(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater(X1,sk2(X2))|~environment(X2))).
% 0.12/0.37  cnf(i_0_12, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X2)),growth_rate(first_movers,sk1(X1,X2)))|~environment(X2))).
% 0.12/0.37  cnf(i_0_10, hypothesis, (X1=critical_point(X2)|subpopulations(first_movers,efficient_producers,X2,sk1(X1,X2))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_126, plain, (X3=X3)).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 6 steps
% 0.12/0.37  cnf(i_0_126, plain, (sk3=sk3), inference(start_rule)).
% 0.12/0.37  cnf(i_0_168, plain, (sk3=sk3), inference(extension_rule, [i_0_130])).
% 0.12/0.37  cnf(i_0_204, plain, (~environment(sk3)), inference(closure_rule, [i_0_16])).
% 0.12/0.37  cnf(i_0_202, plain, (environment(sk3)), inference(extension_rule, [i_0_13])).
% 0.12/0.37  cnf(i_0_206, plain, (~stable(sk3)), inference(closure_rule, [i_0_17])).
% 0.12/0.37  cnf(i_0_205, plain, (in_environment(sk3,sk2(sk3))), inference(etableau_closure_rule, [i_0_205, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_16, negated_conjecture, (environment(sk3))).
% 0.12/0.37  cnf(i_0_17, negated_conjecture, (stable(sk3))).
% 0.12/0.37  cnf(i_0_18, negated_conjecture, (~in_environment(sk3,critical_point(sk3)))).
% 0.12/0.37  cnf(i_0_13, hypothesis, (in_environment(X1,sk2(X1))|~stable(X1)|~environment(X1))).
% 0.12/0.37  cnf(i_0_14, hypothesis, (~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))|~environment(X1))).
% 0.12/0.37  cnf(i_0_11, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|greater(sk1(X1,X2),X1)|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_15, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~stable(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater(X1,sk2(X2))|~environment(X2))).
% 0.12/0.37  cnf(i_0_12, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X2)),growth_rate(first_movers,sk1(X1,X2)))|~environment(X2))).
% 0.12/0.37  cnf(i_0_10, hypothesis, (X1=critical_point(X2)|subpopulations(first_movers,efficient_producers,X2,sk1(X1,X2))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_152, plain, (X3=X3)).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 6 steps
% 0.12/0.37  cnf(i_0_152, plain, (sk3=sk3), inference(start_rule)).
% 0.12/0.37  cnf(i_0_194, plain, (sk3=sk3), inference(extension_rule, [i_0_156])).
% 0.12/0.37  cnf(i_0_230, plain, (~environment(sk3)), inference(closure_rule, [i_0_16])).
% 0.12/0.37  cnf(i_0_228, plain, (environment(sk3)), inference(extension_rule, [i_0_13])).
% 0.12/0.37  cnf(i_0_232, plain, (~stable(sk3)), inference(closure_rule, [i_0_17])).
% 0.12/0.37  cnf(i_0_231, plain, (in_environment(sk3,sk2(sk3))), inference(etableau_closure_rule, [i_0_231, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # Creating equality axioms
% 0.12/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_16, negated_conjecture, (environment(sk3))).
% 0.12/0.37  cnf(i_0_17, negated_conjecture, (stable(sk3))).
% 0.12/0.37  cnf(i_0_18, negated_conjecture, (~in_environment(sk3,critical_point(sk3)))).
% 0.12/0.37  cnf(i_0_13, hypothesis, (in_environment(X1,sk2(X1))|~stable(X1)|~environment(X1))).
% 0.12/0.37  cnf(i_0_14, hypothesis, (~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))|~environment(X1))).
% 0.12/0.37  cnf(i_0_11, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|greater(sk1(X1,X2),X1)|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_15, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~stable(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater(X1,sk2(X2))|~environment(X2))).
% 0.12/0.37  cnf(i_0_12, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X2)),growth_rate(first_movers,sk1(X1,X2)))|~environment(X2))).
% 0.12/0.37  cnf(i_0_10, hypothesis, (X1=critical_point(X2)|subpopulations(first_movers,efficient_producers,X2,sk1(X1,X2))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_210, plain, (X3=X3)).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 6 steps
% 0.12/0.37  cnf(i_0_210, plain, (sk3=sk3), inference(start_rule)).
% 0.12/0.37  cnf(i_0_252, plain, (sk3=sk3), inference(extension_rule, [i_0_214])).
% 0.12/0.37  cnf(i_0_288, plain, (~environment(sk3)), inference(closure_rule, [i_0_16])).
% 0.12/0.37  cnf(i_0_286, plain, (environment(sk3)), inference(extension_rule, [i_0_13])).
% 0.12/0.37  cnf(i_0_290, plain, (~stable(sk3)), inference(closure_rule, [i_0_17])).
% 0.12/0.37  cnf(i_0_289, plain, (in_environment(sk3,sk2(sk3))), inference(etableau_closure_rule, [i_0_289, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # Creating equality axioms
% 0.12/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_16, negated_conjecture, (environment(sk3))).
% 0.12/0.37  cnf(i_0_17, negated_conjecture, (stable(sk3))).
% 0.12/0.37  cnf(i_0_18, negated_conjecture, (~in_environment(sk3,critical_point(sk3)))).
% 0.12/0.37  cnf(i_0_13, hypothesis, (in_environment(X1,sk2(X1))|~stable(X1)|~environment(X1))).
% 0.12/0.37  cnf(i_0_14, hypothesis, (~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))|~environment(X1))).
% 0.12/0.37  cnf(i_0_11, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|greater(sk1(X1,X2),X1)|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_15, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~stable(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater(X1,sk2(X2))|~environment(X2))).
% 0.12/0.37  cnf(i_0_12, hypothesis, (X1=critical_point(X2)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X2)),growth_rate(first_movers,sk1(X1,X2)))|~environment(X2))).
% 0.12/0.37  cnf(i_0_10, hypothesis, (X1=critical_point(X2)|subpopulations(first_movers,efficient_producers,X2,sk1(X1,X2))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~environment(X2))).
% 0.12/0.37  cnf(i_0_126, plain, (X3=X3)).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 6 steps
% 0.12/0.37  cnf(i_0_126, plain, (sk3=sk3), inference(start_rule)).
% 0.12/0.37  cnf(i_0_168, plain, (sk3=sk3), inference(extension_rule, [i_0_130])).
% 0.12/0.37  cnf(i_0_204, plain, (~environment(sk3)), inference(closure_rule, [i_0_16])).
% 0.12/0.37  cnf(i_0_202, plain, (environment(sk3)), inference(extension_rule, [i_0_13])).
% 0.12/0.37  cnf(i_0_206, plain, (~stable(sk3)), inference(closure_rule, [i_0_17])).
% 0.12/0.37  cnf(i_0_205, plain, (in_environment(sk3,sk2(sk3))), inference(etableau_closure_rule, [i_0_205, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # Child (31084) has found a proof.
% 0.12/0.37  
% 0.12/0.37  # Proof search is over...
% 0.12/0.37  # Freeing feature tree
%------------------------------------------------------------------------------