TSTP Solution File: NUM386+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM386+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 09:40:38 EDT 2022

% Result   : Theorem 0.22s 0.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM386+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jul  7 06:40:44 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.39  # No SInE strategy applied
% 0.22/0.39  # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.22/0.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.22/0.39  #
% 0.22/0.39  # Number of axioms: 58 Number of unprocessed: 58
% 0.22/0.39  # Tableaux proof search.
% 0.22/0.39  # APR header successfully linked.
% 0.22/0.39  # Hello from C++
% 0.22/0.39  # The folding up rule is enabled...
% 0.22/0.39  # Local unification is enabled...
% 0.22/0.39  # Any saturation attempts will use folding labels...
% 0.22/0.39  # 58 beginning clauses after preprocessing and clausification
% 0.22/0.39  # Creating start rules for all 3 conjectures.
% 0.22/0.39  # There are 3 start rule candidates:
% 0.22/0.39  # Found 33 unit axioms.
% 0.22/0.39  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.22/0.39  # 3 start rule tableaux created.
% 0.22/0.39  # 25 extension rule candidate clauses
% 0.22/0.39  # 33 unit axiom clauses
% 0.22/0.39  
% 0.22/0.39  # Requested 8, 32 cores available to the main process.
% 0.22/0.39  # There are not enough tableaux to fork, creating more from the initial 3
% 0.22/0.39  # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.22/0.39  # We now have 14 tableaux to operate on
% 0.22/0.41  # Creating equality axioms
% 0.22/0.41  # Ran out of tableaux, making start rules for all clauses
% 0.22/0.41  # There were 1 total branch saturation attempts.
% 0.22/0.41  # There were 0 of these attempts blocked.
% 0.22/0.41  # There were 0 deferred branch saturation attempts.
% 0.22/0.41  # There were 0 free duplicated saturations.
% 0.22/0.41  # There were 1 total successful branch saturations.
% 0.22/0.41  # There were 0 successful branch saturations in interreduction.
% 0.22/0.41  # There were 0 successful branch saturations on the branch.
% 0.22/0.41  # There were 1 successful branch saturations after the branch.
% 0.22/0.41  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.41  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.41  # Begin clausification derivation
% 0.22/0.41  
% 0.22/0.41  # End clausification derivation
% 0.22/0.41  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.41  cnf(i_0_22, plain, (empty(empty_set))).
% 0.22/0.41  cnf(i_0_24, plain, (empty(empty_set))).
% 0.22/0.41  cnf(i_0_29, plain, (empty(empty_set))).
% 0.22/0.41  cnf(i_0_34, plain, (empty(esk5_0))).
% 0.22/0.41  cnf(i_0_35, plain, (empty(esk6_0))).
% 0.22/0.41  cnf(i_0_37, plain, (empty(esk7_0))).
% 0.22/0.41  cnf(i_0_31, plain, (function(esk4_0))).
% 0.22/0.41  cnf(i_0_36, plain, (function(esk7_0))).
% 0.22/0.41  cnf(i_0_43, plain, (function(esk10_0))).
% 0.22/0.41  cnf(i_0_47, plain, (function(esk12_0))).
% 0.22/0.41  cnf(i_0_50, plain, (function(esk13_0))).
% 0.22/0.41  cnf(i_0_21, plain, (relation(empty_set))).
% 0.22/0.41  cnf(i_0_28, plain, (relation(empty_set))).
% 0.22/0.41  cnf(i_0_32, plain, (relation(esk4_0))).
% 0.22/0.41  cnf(i_0_33, plain, (relation(esk5_0))).
% 0.22/0.41  cnf(i_0_38, plain, (relation(esk7_0))).
% 0.22/0.41  cnf(i_0_39, plain, (relation(esk8_0))).
% 0.22/0.41  cnf(i_0_44, plain, (relation(esk10_0))).
% 0.22/0.41  cnf(i_0_46, plain, (relation(esk11_0))).
% 0.22/0.41  cnf(i_0_49, plain, (relation(esk12_0))).
% 0.22/0.41  cnf(i_0_52, plain, (relation(esk13_0))).
% 0.22/0.41  cnf(i_0_42, plain, (one_to_one(esk10_0))).
% 0.22/0.41  cnf(i_0_20, plain, (relation_empty_yielding(empty_set))).
% 0.22/0.41  cnf(i_0_45, plain, (relation_empty_yielding(esk11_0))).
% 0.22/0.41  cnf(i_0_48, plain, (relation_empty_yielding(esk12_0))).
% 0.22/0.41  cnf(i_0_51, plain, (relation_non_empty(esk13_0))).
% 0.22/0.41  cnf(i_0_40, plain, (~empty(esk8_0))).
% 0.22/0.41  cnf(i_0_41, plain, (~empty(esk9_0))).
% 0.22/0.41  cnf(i_0_59, plain, (X1=empty_set|~empty(X1))).
% 0.22/0.41  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.22/0.41  cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 0.22/0.41  cnf(i_0_56, plain, (set_union2(X1,empty_set)=X1)).
% 0.22/0.41  cnf(i_0_30, plain, (set_union2(X1,X1)=X1)).
% 0.22/0.41  cnf(i_0_61, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.22/0.41  cnf(i_0_19, plain, (element(esk3_1(X1),X1))).
% 0.22/0.41  cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 0.22/0.41  cnf(i_0_11, plain, (in(X1,X3)|X1!=X2|X3!=singleton(X2))).
% 0.22/0.41  cnf(i_0_7, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.22/0.41  cnf(i_0_60, plain, (~empty(X2)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_12, plain, (X1=X3|X2!=singleton(X3)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_57, plain, (element(X1,X2)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_58, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.22/0.41  cnf(i_0_25, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 0.22/0.41  cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_27, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.22/0.41  cnf(i_0_26, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.22/0.41  cnf(i_0_53, negated_conjecture, (esk14_0=esk15_0|in(esk14_0,esk15_0)|in(esk14_0,set_union2(esk15_0,singleton(esk15_0))))).
% 0.22/0.41  cnf(i_0_9, plain, (X2=singleton(X1)|esk1_2(X1,X2)=X1|in(esk1_2(X1,X2),X2))).
% 0.22/0.41  cnf(i_0_16, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_17, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_23, plain, (~empty(set_union2(X1,singleton(X1))))).
% 0.22/0.41  cnf(i_0_54, negated_conjecture, (esk14_0!=esk15_0|~in(esk14_0,set_union2(esk15_0,singleton(esk15_0))))).
% 0.22/0.41  cnf(i_0_18, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.22/0.41  cnf(i_0_55, negated_conjecture, (~in(esk14_0,esk15_0)|~in(esk14_0,set_union2(esk15_0,singleton(esk15_0))))).
% 0.22/0.41  cnf(i_0_10, plain, (X2=singleton(X1)|esk1_2(X1,X2)!=X1|~in(esk1_2(X1,X2),X2))).
% 0.22/0.41  cnf(i_0_13, plain, (X3=set_union2(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk2_3(X1,X2,X3),X2)|in(esk2_3(X1,X2,X3),X1))).
% 0.22/0.41  cnf(i_0_14, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X2))).
% 0.22/0.41  cnf(i_0_15, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X1))).
% 0.22/0.41  cnf(i_0_273, plain, (X61=X61)).
% 0.22/0.41  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.22/0.41  # Begin printing tableau
% 0.22/0.41  # Found 5 steps
% 0.22/0.41  cnf(i_0_273, plain, (X3=X3), inference(start_rule)).
% 0.22/0.41  cnf(i_0_388, plain, (X3=X3), inference(extension_rule, [i_0_11])).
% 0.22/0.41  cnf(i_0_404, plain, (set_union2(singleton(X3),empty_set)!=singleton(X3)), inference(closure_rule, [i_0_56])).
% 0.22/0.41  cnf(i_0_402, plain, (in(X3,set_union2(singleton(X3),empty_set))), inference(extension_rule, [i_0_60])).
% 0.22/0.41  cnf(i_0_418, plain, (~empty(set_union2(singleton(X3),empty_set))), inference(etableau_closure_rule, [i_0_418, ...])).
% 0.22/0.41  # End printing tableau
% 0.22/0.41  # SZS output end
% 0.22/0.41  # Branches closed with saturation will be marked with an "s"
% 0.22/0.41  # Child (524) has found a proof.
% 0.22/0.41  
% 0.22/0.41  # Proof search is over...
% 0.22/0.41  # Freeing feature tree
%------------------------------------------------------------------------------