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Etableau---0.67.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU216+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n019.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 : Tue Jul 19 09:24:51 EDT 2022

% Result   : Theorem 39.84s 5.38s
% Output   : CNFRefutation 39.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU216+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n019.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 : Sun Jun 19 06:56:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.37  # No SInE strategy applied
% 0.19/0.37  # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.37  #
% 0.19/0.37  # Presaturation interreduction done
% 0.19/0.37  # Number of axioms: 59 Number of unprocessed: 51
% 0.19/0.37  # Tableaux proof search.
% 0.19/0.37  # APR header successfully linked.
% 0.19/0.37  # Hello from C++
% 0.19/0.37  # The folding up rule is enabled...
% 0.19/0.37  # Local unification is enabled...
% 0.19/0.37  # Any saturation attempts will use folding labels...
% 0.19/0.37  # 51 beginning clauses after preprocessing and clausification
% 0.19/0.37  # Creating start rules for all 6 conjectures.
% 0.19/0.37  # There are 6 start rule candidates:
% 0.19/0.37  # Found 23 unit axioms.
% 0.19/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.37  # 6 start rule tableaux created.
% 0.19/0.37  # 28 extension rule candidate clauses
% 0.19/0.37  # 23 unit axiom clauses
% 0.19/0.37  
% 0.19/0.37  # Requested 8, 32 cores available to the main process.
% 0.19/0.37  # There are not enough tableaux to fork, creating more from the initial 6
% 0.19/0.37  # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.37  # We now have 13 tableaux to operate on
% 4.71/0.98  # Creating equality axioms
% 4.71/0.98  # Ran out of tableaux, making start rules for all clauses
% 4.71/0.99  # Creating equality axioms
% 4.71/0.99  # Ran out of tableaux, making start rules for all clauses
% 7.03/1.24  # Creating equality axioms
% 7.03/1.24  # Ran out of tableaux, making start rules for all clauses
% 10.50/1.69  # Creating equality axioms
% 10.50/1.69  # Ran out of tableaux, making start rules for all clauses
% 39.84/5.38  # There were 12 total branch saturation attempts.
% 39.84/5.38  # There were 0 of these attempts blocked.
% 39.84/5.38  # There were 0 deferred branch saturation attempts.
% 39.84/5.38  # There were 0 free duplicated saturations.
% 39.84/5.38  # There were 6 total successful branch saturations.
% 39.84/5.38  # There were 0 successful branch saturations in interreduction.
% 39.84/5.38  # There were 0 successful branch saturations on the branch.
% 39.84/5.38  # There were 6 successful branch saturations after the branch.
% 39.84/5.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.84/5.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.84/5.38  # Begin clausification derivation
% 39.84/5.38  
% 39.84/5.38  # End clausification derivation
% 39.84/5.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 39.84/5.38  cnf(i_0_59, negated_conjecture, (function(esk11_0))).
% 39.84/5.38  cnf(i_0_60, negated_conjecture, (relation(esk11_0))).
% 39.84/5.38  cnf(i_0_28, plain, (empty(empty_set))).
% 39.84/5.38  cnf(i_0_43, plain, (function(esk4_0))).
% 39.84/5.38  cnf(i_0_27, plain, (relation(empty_set))).
% 39.84/5.38  cnf(i_0_44, plain, (relation(esk4_0))).
% 39.84/5.38  cnf(i_0_45, plain, (relation(esk5_0))).
% 39.84/5.38  cnf(i_0_48, plain, (relation(esk7_0))).
% 39.84/5.38  cnf(i_0_52, plain, (relation(esk9_0))).
% 39.84/5.38  cnf(i_0_46, plain, (empty(esk5_0))).
% 39.84/5.38  cnf(i_0_47, plain, (empty(esk6_0))).
% 39.84/5.38  cnf(i_0_26, plain, (relation_empty_yielding(empty_set))).
% 39.84/5.38  cnf(i_0_31, plain, (function(identity_relation(X1)))).
% 39.84/5.38  cnf(i_0_23, plain, (relation(identity_relation(X1)))).
% 39.84/5.38  cnf(i_0_63, plain, (relation_dom(identity_relation(X1))=X1)).
% 39.84/5.38  cnf(i_0_51, plain, (relation_empty_yielding(esk9_0))).
% 39.84/5.38  cnf(i_0_62, plain, (relation_rng(identity_relation(X1))=X1)).
% 39.84/5.38  cnf(i_0_25, plain, (element(esk3_1(X1),X1))).
% 39.84/5.38  cnf(i_0_4, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 39.84/5.38  cnf(i_0_49, plain, (~empty(esk7_0))).
% 39.84/5.38  cnf(i_0_50, plain, (~empty(esk8_0))).
% 39.84/5.38  cnf(i_0_33, plain, (~empty(singleton(X1)))).
% 39.84/5.38  cnf(i_0_34, plain, (~empty(unordered_pair(X1,X2)))).
% 39.84/5.38  cnf(i_0_56, negated_conjecture, (relation_dom(esk11_0)=esk10_0|identity_relation(esk10_0)=esk11_0)).
% 39.84/5.38  cnf(i_0_57, negated_conjecture, (apply(esk11_0,esk12_0)!=esk12_0|identity_relation(esk10_0)!=esk11_0|relation_dom(esk11_0)!=esk10_0)).
% 39.84/5.38  cnf(i_0_58, negated_conjecture, (in(esk12_0,esk10_0)|identity_relation(esk10_0)!=esk11_0|relation_dom(esk11_0)!=esk10_0)).
% 39.84/5.38  cnf(i_0_64, plain, (~empty(X1)|~in(X2,X1))).
% 39.84/5.38  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 39.84/5.38  cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 39.84/5.38  cnf(i_0_61, plain, (X1=empty_set|~empty(X1))).
% 39.84/5.38  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 39.84/5.38  cnf(i_0_39, plain, (relation(relation_dom(X1))|~empty(X1))).
% 39.84/5.38  cnf(i_0_55, negated_conjecture, (apply(esk11_0,X1)=X1|identity_relation(esk10_0)=esk11_0|~in(X1,esk10_0))).
% 39.84/5.38  cnf(i_0_40, plain, (empty(relation_dom(X1))|~empty(X1))).
% 39.84/5.38  cnf(i_0_41, plain, (relation(relation_rng(X1))|~empty(X1))).
% 39.84/5.38  cnf(i_0_37, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 39.84/5.38  cnf(i_0_65, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 39.84/5.38  cnf(i_0_53, plain, (element(X1,X2)|~in(X1,X2))).
% 39.84/5.38  cnf(i_0_38, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 39.84/5.38  cnf(i_0_42, plain, (empty(relation_rng(X1))|~empty(X1))).
% 39.84/5.38  cnf(i_0_54, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 39.84/5.38  cnf(i_0_12, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 39.84/5.38  cnf(i_0_68, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2))).
% 39.84/5.38  cnf(i_0_67, plain, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2))).
% 39.84/5.38  cnf(i_0_9, plain, (X1=X2|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),identity_relation(X3)))).
% 39.84/5.38  cnf(i_0_10, plain, (in(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),identity_relation(X2)))).
% 39.84/5.38  cnf(i_0_14, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 39.84/5.38  cnf(i_0_7, plain, (X1=identity_relation(X2)|esk1_2(X2,X1)!=esk2_2(X2,X1)|~relation(X1)|~in(unordered_pair(singleton(esk1_2(X2,X1)),unordered_pair(esk2_2(X2,X1),esk1_2(X2,X1))),X1)|~in(esk1_2(X2,X1),X2))).
% 39.84/5.38  cnf(i_0_5, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2))),X2)|~relation(X2))).
% 39.84/5.38  cnf(i_0_6, plain, (X1=identity_relation(X2)|in(unordered_pair(singleton(esk1_2(X2,X1)),unordered_pair(esk2_2(X2,X1),esk1_2(X2,X1))),X1)|in(esk1_2(X2,X1),X2)|~relation(X1))).
% 39.84/5.38  cnf(i_0_8, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 39.84/5.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 39.84/5.38  # Begin printing tableau
% 39.84/5.38  # Found 8 steps
% 39.84/5.38  cnf(i_0_60, negated_conjecture, (relation(esk11_0)), inference(start_rule)).
% 39.84/5.38  cnf(i_0_88, plain, (relation(esk11_0)), inference(extension_rule, [i_0_7])).
% 39.84/5.38  cnf(i_0_559214, plain, (esk11_0=identity_relation(esk10_0)), inference(extension_rule, [i_0_58])).
% 39.84/5.38  cnf(i_0_559215, plain, (esk1_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)), inference(etableau_closure_rule, [i_0_559215, ...])).
% 39.84/5.38  cnf(i_0_559217, plain, (~in(unordered_pair(singleton(esk1_2(esk10_0,esk11_0)),unordered_pair(esk2_2(esk10_0,esk11_0),esk1_2(esk10_0,esk11_0))),esk11_0)), inference(etableau_closure_rule, [i_0_559217, ...])).
% 39.84/5.38  cnf(i_0_559218, plain, (~in(esk1_2(esk10_0,esk11_0),esk10_0)), inference(etableau_closure_rule, [i_0_559218, ...])).
% 39.84/5.38  cnf(i_0_559236, plain, (in(esk12_0,esk10_0)), inference(etableau_closure_rule, [i_0_559236, ...])).
% 39.84/5.38  cnf(i_0_559238, plain, (relation_dom(esk11_0)!=esk10_0), inference(etableau_closure_rule, [i_0_559238, ...])).
% 39.84/5.38  # End printing tableau
% 39.84/5.38  # SZS output end
% 39.84/5.38  # Branches closed with saturation will be marked with an "s"
% 39.84/5.38  # Child (32390) has found a proof.
% 39.84/5.38  
% 39.84/5.38  # Proof search is over...
% 39.84/5.38  # Freeing feature tree
%------------------------------------------------------------------------------