TSTP Solution File: SEU216+3 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU216+3 : 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 : Tue Jul 19 09:24:51 EDT 2022
% Result : Theorem 54.57s 7.24s
% Output : CNFRefutation 54.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU216+3 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % 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 : Sun Jun 19 17:44:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.37 # No SInE strategy applied
% 0.20/0.37 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.37 #
% 0.20/0.37 # Presaturation interreduction done
% 0.20/0.37 # Number of axioms: 69 Number of unprocessed: 61
% 0.20/0.37 # Tableaux proof search.
% 0.20/0.37 # APR header successfully linked.
% 0.20/0.37 # Hello from C++
% 0.20/0.38 # The folding up rule is enabled...
% 0.20/0.38 # Local unification is enabled...
% 0.20/0.38 # Any saturation attempts will use folding labels...
% 0.20/0.38 # 61 beginning clauses after preprocessing and clausification
% 0.20/0.38 # Creating start rules for all 6 conjectures.
% 0.20/0.38 # There are 6 start rule candidates:
% 0.20/0.38 # Found 27 unit axioms.
% 0.20/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.38 # 6 start rule tableaux created.
% 0.20/0.38 # 34 extension rule candidate clauses
% 0.20/0.38 # 27 unit axiom clauses
% 0.20/0.38
% 0.20/0.38 # Requested 8, 32 cores available to the main process.
% 0.20/0.38 # There are not enough tableaux to fork, creating more from the initial 6
% 0.20/0.38 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.38 # We now have 13 tableaux to operate on
% 4.56/0.99 # Creating equality axioms
% 4.56/0.99 # Ran out of tableaux, making start rules for all clauses
% 4.56/1.01 # Creating equality axioms
% 4.56/1.01 # Ran out of tableaux, making start rules for all clauses
% 6.87/1.26 # Creating equality axioms
% 6.87/1.26 # Ran out of tableaux, making start rules for all clauses
% 9.26/1.56 # Creating equality axioms
% 9.26/1.56 # Ran out of tableaux, making start rules for all clauses
% 54.57/7.24 # There were 15 total branch saturation attempts.
% 54.57/7.24 # There were 1 of these attempts blocked.
% 54.57/7.24 # There were 0 deferred branch saturation attempts.
% 54.57/7.24 # There were 0 free duplicated saturations.
% 54.57/7.24 # There were 6 total successful branch saturations.
% 54.57/7.24 # There were 0 successful branch saturations in interreduction.
% 54.57/7.24 # There were 0 successful branch saturations on the branch.
% 54.57/7.24 # There were 6 successful branch saturations after the branch.
% 54.57/7.24 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.57/7.24 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.57/7.24 # Begin clausification derivation
% 54.57/7.24
% 54.57/7.24 # End clausification derivation
% 54.57/7.24 # Begin listing active clauses obtained from FOF to CNF conversion
% 54.57/7.24 cnf(i_0_57, negated_conjecture, (function(esk13_0))).
% 54.57/7.24 cnf(i_0_58, negated_conjecture, (relation(esk13_0))).
% 54.57/7.24 cnf(i_0_20, plain, (empty(empty_set))).
% 54.57/7.24 cnf(i_0_36, plain, (function(esk4_0))).
% 54.57/7.24 cnf(i_0_19, plain, (relation(empty_set))).
% 54.57/7.24 cnf(i_0_37, plain, (relation(esk4_0))).
% 54.57/7.24 cnf(i_0_38, plain, (relation(esk5_0))).
% 54.57/7.24 cnf(i_0_43, plain, (relation(esk8_0))).
% 54.57/7.24 cnf(i_0_49, plain, (relation(esk11_0))).
% 54.57/7.24 cnf(i_0_39, plain, (empty(esk5_0))).
% 54.57/7.24 cnf(i_0_42, plain, (empty(esk7_0))).
% 54.57/7.24 cnf(i_0_24, plain, (function(identity_relation(X1)))).
% 54.57/7.24 cnf(i_0_16, plain, (relation(identity_relation(X1)))).
% 54.57/7.24 cnf(i_0_65, plain, (relation_dom(identity_relation(X1))=X1)).
% 54.57/7.24 cnf(i_0_18, plain, (relation_empty_yielding(empty_set))).
% 54.57/7.24 cnf(i_0_48, plain, (relation_empty_yielding(esk11_0))).
% 54.57/7.24 cnf(i_0_50, plain, (subset(X1,X1))).
% 54.57/7.24 cnf(i_0_64, plain, (relation_rng(identity_relation(X1))=X1)).
% 54.57/7.24 cnf(i_0_45, plain, (empty(esk9_1(X1)))).
% 54.57/7.24 cnf(i_0_17, plain, (element(esk3_1(X1),X1))).
% 54.57/7.24 cnf(i_0_46, plain, (element(esk9_1(X1),powerset(X1)))).
% 54.57/7.24 cnf(i_0_4, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 54.57/7.24 cnf(i_0_44, plain, (~empty(esk8_0))).
% 54.57/7.24 cnf(i_0_47, plain, (~empty(esk10_0))).
% 54.57/7.24 cnf(i_0_26, plain, (~empty(singleton(X1)))).
% 54.57/7.24 cnf(i_0_21, plain, (~empty(powerset(X1)))).
% 54.57/7.24 cnf(i_0_27, plain, (~empty(unordered_pair(X1,X2)))).
% 54.57/7.24 cnf(i_0_54, negated_conjecture, (relation_dom(esk13_0)=esk12_0|identity_relation(esk12_0)=esk13_0)).
% 54.57/7.24 cnf(i_0_55, negated_conjecture, (apply(esk13_0,esk14_0)!=esk14_0|identity_relation(esk12_0)!=esk13_0|relation_dom(esk13_0)!=esk12_0)).
% 54.57/7.24 cnf(i_0_56, negated_conjecture, (in(esk14_0,esk12_0)|identity_relation(esk12_0)!=esk13_0|relation_dom(esk13_0)!=esk12_0)).
% 54.57/7.24 cnf(i_0_66, plain, (~empty(X1)|~in(X2,X1))).
% 54.57/7.24 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 54.57/7.24 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 54.57/7.24 cnf(i_0_63, plain, (X1=empty_set|~empty(X1))).
% 54.57/7.24 cnf(i_0_32, plain, (relation(relation_dom(X1))|~empty(X1))).
% 54.57/7.24 cnf(i_0_53, negated_conjecture, (apply(esk13_0,X1)=X1|identity_relation(esk12_0)=esk13_0|~in(X1,esk12_0))).
% 54.57/7.24 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 54.57/7.24 cnf(i_0_67, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 54.57/7.24 cnf(i_0_40, plain, (empty(X1)|~empty(esk6_1(X1)))).
% 54.57/7.24 cnf(i_0_51, plain, (element(X1,X2)|~in(X1,X2))).
% 54.57/7.24 cnf(i_0_30, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 54.57/7.24 cnf(i_0_31, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 54.57/7.24 cnf(i_0_33, plain, (empty(relation_dom(X1))|~empty(X1))).
% 54.57/7.24 cnf(i_0_34, plain, (relation(relation_rng(X1))|~empty(X1))).
% 54.57/7.24 cnf(i_0_35, plain, (empty(relation_rng(X1))|~empty(X1))).
% 54.57/7.24 cnf(i_0_60, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 54.57/7.24 cnf(i_0_62, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 54.57/7.24 cnf(i_0_59, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 54.57/7.24 cnf(i_0_52, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 54.57/7.24 cnf(i_0_61, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 54.57/7.24 cnf(i_0_41, plain, (element(esk6_1(X1),powerset(X1))|empty(X1))).
% 54.57/7.24 cnf(i_0_12, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 54.57/7.24 cnf(i_0_70, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2))).
% 54.57/7.24 cnf(i_0_69, plain, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2))).
% 54.57/7.24 cnf(i_0_9, plain, (X1=X2|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),identity_relation(X3)))).
% 54.57/7.24 cnf(i_0_10, plain, (in(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),identity_relation(X2)))).
% 54.57/7.24 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)))).
% 54.57/7.24 cnf(i_0_8, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 54.57/7.24 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))).
% 54.57/7.24 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))).
% 54.57/7.24 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))).
% 54.57/7.24 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 54.57/7.24 # Begin printing tableau
% 54.57/7.24 # Found 8 steps
% 54.57/7.24 cnf(i_0_58, negated_conjecture, (relation(esk13_0)), inference(start_rule)).
% 54.57/7.24 cnf(i_0_90, plain, (relation(esk13_0)), inference(extension_rule, [i_0_7])).
% 54.57/7.24 cnf(i_0_710080, plain, (esk13_0=identity_relation(esk12_0)), inference(extension_rule, [i_0_56])).
% 54.57/7.24 cnf(i_0_710081, plain, (esk1_2(esk12_0,esk13_0)!=esk2_2(esk12_0,esk13_0)), inference(etableau_closure_rule, [i_0_710081, ...])).
% 54.57/7.24 cnf(i_0_710083, plain, (~in(unordered_pair(singleton(esk1_2(esk12_0,esk13_0)),unordered_pair(esk2_2(esk12_0,esk13_0),esk1_2(esk12_0,esk13_0))),esk13_0)), inference(etableau_closure_rule, [i_0_710083, ...])).
% 54.57/7.24 cnf(i_0_710084, plain, (~in(esk1_2(esk12_0,esk13_0),esk12_0)), inference(etableau_closure_rule, [i_0_710084, ...])).
% 54.57/7.24 cnf(i_0_710104, plain, (in(esk14_0,esk12_0)), inference(etableau_closure_rule, [i_0_710104, ...])).
% 54.57/7.24 cnf(i_0_710106, plain, (relation_dom(esk13_0)!=esk12_0), inference(etableau_closure_rule, [i_0_710106, ...])).
% 54.57/7.24 # End printing tableau
% 54.57/7.24 # SZS output end
% 54.57/7.24 # Branches closed with saturation will be marked with an "s"
% 54.83/7.25 # Child (15134) has found a proof.
% 54.83/7.25
% 54.83/7.25 # Proof search is over...
% 54.83/7.25 # Freeing feature tree
%------------------------------------------------------------------------------