TSTP Solution File: NUM405+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 18 09:40:44 EDT 2022

% Result   : Theorem 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n020.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  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 12:31:14 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  # Number of axioms: 72 Number of unprocessed: 66
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.13/0.39  # The folding up rule is enabled...
% 0.13/0.39  # Local unification is enabled...
% 0.13/0.39  # Any saturation attempts will use folding labels...
% 0.13/0.39  # 66 beginning clauses after preprocessing and clausification
% 0.13/0.39  # Creating start rules for all 1 conjectures.
% 0.13/0.39  # There are 1 start rule candidates:
% 0.13/0.39  # Found 45 unit axioms.
% 0.13/0.39  # 1 start rule tableaux created.
% 0.13/0.39  # 21 extension rule candidate clauses
% 0.13/0.39  # 45 unit axiom clauses
% 0.13/0.39  
% 0.13/0.39  # Requested 8, 32 cores available to the main process.
% 0.13/0.39  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.39  # There were 1 total branch saturation attempts.
% 0.13/0.39  # There were 0 of these attempts blocked.
% 0.13/0.39  # There were 0 deferred branch saturation attempts.
% 0.13/0.39  # There were 0 free duplicated saturations.
% 0.13/0.39  # There were 1 total successful branch saturations.
% 0.13/0.39  # There were 0 successful branch saturations in interreduction.
% 0.13/0.39  # There were 0 successful branch saturations on the branch.
% 0.13/0.39  # There were 1 successful branch saturations after the branch.
% 0.13/0.39  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  # Begin clausification derivation
% 0.13/0.39  
% 0.13/0.39  # End clausification derivation
% 0.13/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39  cnf(i_0_18, plain, (ordinal(empty_set))).
% 0.13/0.39  cnf(i_0_30, plain, (ordinal(esk3_0))).
% 0.13/0.39  cnf(i_0_39, plain, (ordinal(esk7_0))).
% 0.13/0.39  cnf(i_0_52, plain, (ordinal(esk11_0))).
% 0.13/0.39  cnf(i_0_16, plain, (empty(empty_set))).
% 0.13/0.39  cnf(i_0_34, plain, (empty(esk4_0))).
% 0.13/0.39  cnf(i_0_35, plain, (empty(esk5_0))).
% 0.13/0.39  cnf(i_0_37, plain, (empty(esk6_0))).
% 0.13/0.39  cnf(i_0_42, plain, (empty(esk7_0))).
% 0.13/0.39  cnf(i_0_23, plain, (function(empty_set))).
% 0.13/0.39  cnf(i_0_28, plain, (function(esk2_0))).
% 0.13/0.39  cnf(i_0_36, plain, (function(esk6_0))).
% 0.13/0.39  cnf(i_0_44, plain, (function(esk7_0))).
% 0.13/0.39  cnf(i_0_50, plain, (function(esk10_0))).
% 0.13/0.39  cnf(i_0_58, plain, (function(esk13_0))).
% 0.13/0.39  cnf(i_0_61, plain, (function(esk14_0))).
% 0.13/0.39  cnf(i_0_20, plain, (epsilon_transitive(empty_set))).
% 0.13/0.39  cnf(i_0_32, plain, (epsilon_transitive(esk3_0))).
% 0.13/0.39  cnf(i_0_41, plain, (epsilon_transitive(esk7_0))).
% 0.13/0.39  cnf(i_0_54, plain, (epsilon_transitive(esk11_0))).
% 0.13/0.39  cnf(i_0_19, plain, (epsilon_connected(empty_set))).
% 0.13/0.39  cnf(i_0_31, plain, (epsilon_connected(esk3_0))).
% 0.13/0.39  cnf(i_0_40, plain, (epsilon_connected(esk7_0))).
% 0.13/0.39  cnf(i_0_53, plain, (epsilon_connected(esk11_0))).
% 0.13/0.39  cnf(i_0_15, plain, (relation(empty_set))).
% 0.13/0.39  cnf(i_0_29, plain, (relation(esk2_0))).
% 0.13/0.39  cnf(i_0_33, plain, (relation(esk4_0))).
% 0.13/0.39  cnf(i_0_38, plain, (relation(esk6_0))).
% 0.13/0.39  cnf(i_0_45, plain, (relation(esk7_0))).
% 0.13/0.39  cnf(i_0_46, plain, (relation(esk8_0))).
% 0.13/0.39  cnf(i_0_51, plain, (relation(esk10_0))).
% 0.13/0.39  cnf(i_0_57, plain, (relation(esk12_0))).
% 0.13/0.39  cnf(i_0_60, plain, (relation(esk13_0))).
% 0.13/0.39  cnf(i_0_63, plain, (relation(esk14_0))).
% 0.13/0.39  cnf(i_0_22, plain, (one_to_one(empty_set))).
% 0.13/0.39  cnf(i_0_43, plain, (one_to_one(esk7_0))).
% 0.13/0.39  cnf(i_0_49, plain, (one_to_one(esk10_0))).
% 0.13/0.39  cnf(i_0_14, plain, (relation_empty_yielding(empty_set))).
% 0.13/0.39  cnf(i_0_56, plain, (relation_empty_yielding(esk12_0))).
% 0.13/0.39  cnf(i_0_59, plain, (relation_empty_yielding(esk13_0))).
% 0.13/0.39  cnf(i_0_62, plain, (relation_non_empty(esk14_0))).
% 0.13/0.39  cnf(i_0_13, plain, (element(esk1_1(X1),X1))).
% 0.13/0.39  cnf(i_0_47, plain, (~empty(esk8_0))).
% 0.13/0.39  cnf(i_0_48, plain, (~empty(esk9_0))).
% 0.13/0.39  cnf(i_0_55, plain, (~empty(esk11_0))).
% 0.13/0.39  cnf(i_0_73, plain, (~empty(X1)|~in(X2,X1))).
% 0.13/0.39  cnf(i_0_71, negated_conjecture, (in(X1,esk17_0)|~ordinal(X1))).
% 0.13/0.39  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.13/0.39  cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.13/0.39  cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.13/0.39  cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.13/0.39  cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.13/0.39  cnf(i_0_72, plain, (X1=empty_set|~empty(X1))).
% 0.13/0.39  cnf(i_0_65, plain, (ordinal(X1)|~in(X1,esk15_1(X2)))).
% 0.13/0.39  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.13/0.39  cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.13/0.39  cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.13/0.39  cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.13/0.39  cnf(i_0_70, plain, (~ordinal(esk16_1(X1))|~in(esk16_1(X1),X1))).
% 0.13/0.39  cnf(i_0_67, plain, (element(X1,X2)|~in(X1,X2))).
% 0.13/0.39  cnf(i_0_66, plain, (in(X1,X2)|~in(X1,esk15_1(X2)))).
% 0.13/0.39  cnf(i_0_69, plain, (ordinal(esk16_1(X1))|in(esk16_1(X1),X1))).
% 0.13/0.39  cnf(i_0_64, plain, (in(X1,esk15_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 0.13/0.39  cnf(i_0_74, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.13/0.39  cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.13/0.39  cnf(i_0_68, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.13/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.39  # Begin printing tableau
% 0.13/0.39  # Found 5 steps
% 0.13/0.39  cnf(i_0_71, negated_conjecture, (in(empty_set,esk17_0)|~ordinal(empty_set)), inference(start_rule)).
% 0.13/0.39  cnf(i_0_76, plain, (~ordinal(empty_set)), inference(closure_rule, [i_0_18])).
% 0.13/0.39  cnf(i_0_75, plain, (in(empty_set,esk17_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.39  cnf(i_0_93, plain, (~in(esk17_0,empty_set)), inference(extension_rule, [i_0_66])).
% 0.13/0.39  cnf(i_0_199, plain, (~in(esk17_0,esk15_1(empty_set))), inference(etableau_closure_rule, [i_0_199, ...])).
% 0.13/0.39  # End printing tableau
% 0.13/0.39  # SZS output end
% 0.13/0.39  # Branches closed with saturation will be marked with an "s"
% 0.13/0.39  # Returning from population with 3 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.39  # We now have 3 tableaux to operate on
% 0.13/0.39  # Found closed tableau during pool population.
% 0.13/0.39  # Proof search is over...
% 0.13/0.39  # Freeing feature tree
%------------------------------------------------------------------------------