TSTP Solution File: SEU281+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU281+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 : n004.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 09:25:29 EDT 2022
% Result : Theorem 218.05s 27.96s
% Output : CNFRefutation 218.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 02:44:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.36 # No SInE strategy applied
% 0.11/0.36 # Auto-Mode selected heuristic G_E___208_C18C___F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.11/0.36 #
% 0.11/0.36 # Presaturation interreduction done
% 0.11/0.36 # Number of axioms: 77 Number of unprocessed: 77
% 0.11/0.36 # Tableaux proof search.
% 0.11/0.36 # APR header successfully linked.
% 0.11/0.36 # Hello from C++
% 0.11/0.37 # The folding up rule is enabled...
% 0.11/0.37 # Local unification is enabled...
% 0.11/0.37 # Any saturation attempts will use folding labels...
% 0.11/0.37 # 77 beginning clauses after preprocessing and clausification
% 0.11/0.37 # Creating start rules for all 5 conjectures.
% 0.11/0.37 # There are 5 start rule candidates:
% 0.11/0.37 # Found 10 unit axioms.
% 0.11/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.11/0.37 # 5 start rule tableaux created.
% 0.11/0.37 # 67 extension rule candidate clauses
% 0.11/0.37 # 10 unit axiom clauses
% 0.11/0.37
% 0.11/0.37 # Requested 8, 32 cores available to the main process.
% 0.11/0.37 # There are not enough tableaux to fork, creating more from the initial 5
% 0.11/0.37 # Returning from population with 36 new_tableaux and 0 remaining starting tableaux.
% 0.11/0.37 # We now have 36 tableaux to operate on
% 35.95/5.01 # Creating equality axioms
% 35.95/5.01 # Ran out of tableaux, making start rules for all clauses
% 37.33/5.14 # Creating equality axioms
% 37.33/5.14 # Ran out of tableaux, making start rules for all clauses
% 38.34/5.30 # Creating equality axioms
% 38.34/5.30 # Ran out of tableaux, making start rules for all clauses
% 94.84/12.42 # Creating equality axioms
% 94.84/12.42 # Ran out of tableaux, making start rules for all clauses
% 212.22/27.21 # Creating equality axioms
% 212.22/27.21 # Ran out of tableaux, making start rules for all clauses
% 217.06/27.81 # Creating equality axioms
% 217.06/27.81 # Ran out of tableaux, making start rules for all clauses
% 218.05/27.96 # There were 2 total branch saturation attempts.
% 218.05/27.96 # There were 0 of these attempts blocked.
% 218.05/27.96 # There were 0 deferred branch saturation attempts.
% 218.05/27.96 # There were 0 free duplicated saturations.
% 218.05/27.96 # There were 2 total successful branch saturations.
% 218.05/27.96 # There were 0 successful branch saturations in interreduction.
% 218.05/27.96 # There were 0 successful branch saturations on the branch.
% 218.05/27.96 # There were 2 successful branch saturations after the branch.
% 218.05/27.96 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 218.05/27.96 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 218.05/27.96 # Begin clausification derivation
% 218.05/27.96
% 218.05/27.96 # End clausification derivation
% 218.05/27.96 # Begin listing active clauses obtained from FOF to CNF conversion
% 218.05/27.96 cnf(i_0_9, plain, (ordinal(esk6_0))).
% 218.05/27.96 cnf(i_0_12, plain, (ordinal(esk7_0))).
% 218.05/27.96 cnf(i_0_11, plain, (epsilon_transitive(esk6_0))).
% 218.05/27.96 cnf(i_0_14, plain, (epsilon_transitive(esk7_0))).
% 218.05/27.96 cnf(i_0_10, plain, (epsilon_connected(esk6_0))).
% 218.05/27.96 cnf(i_0_13, plain, (epsilon_connected(esk7_0))).
% 218.05/27.96 cnf(i_0_20, plain, (empty(esk8_0))).
% 218.05/27.96 cnf(i_0_15, plain, (~empty(esk7_0))).
% 218.05/27.96 cnf(i_0_21, plain, (~empty(esk9_0))).
% 218.05/27.96 cnf(i_0_26, plain, (~empty(ordered_pair(X1,X2)))).
% 218.05/27.96 cnf(i_0_17, plain, (ordinal(X1)|~empty(X1))).
% 218.05/27.96 cnf(i_0_7, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 218.05/27.96 cnf(i_0_22, plain, (~in(X1,X2)|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_19, plain, (epsilon_transitive(X1)|~empty(X1))).
% 218.05/27.96 cnf(i_0_6, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 218.05/27.96 cnf(i_0_18, plain, (epsilon_connected(X1)|~empty(X1))).
% 218.05/27.96 cnf(i_0_16, plain, (function(X1)|~empty(X1))).
% 218.05/27.96 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 218.05/27.96 cnf(i_0_31, plain, (esk18_3(X1,X2,X3)=X3|esk12_1(X1)!=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_2, negated_conjecture, (in(esk4_1(X1),esk1_0)|in(esk3_1(X1),X1))).
% 218.05/27.96 cnf(i_0_29, plain, (in(esk19_3(X1,X2,X3),X1)|esk12_1(X1)!=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_79, plain, (esk18_3(X1,X2,X3)=X3|esk10_1(X1)=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_1, negated_conjecture, (singleton(esk4_1(X1))=esk5_1(X1)|in(esk3_1(X1),X1))).
% 218.05/27.96 cnf(i_0_4, negated_conjecture, (in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))|in(esk3_1(X1),X1))).
% 218.05/27.96 cnf(i_0_3, negated_conjecture, (ordered_pair(esk4_1(X1),esk5_1(X1))=esk3_1(X1)|in(esk3_1(X1),X1))).
% 218.05/27.96 cnf(i_0_5, negated_conjecture, (ordered_pair(X1,singleton(X1))!=esk3_1(X2)|~in(esk3_1(X2),cartesian_product2(esk1_0,esk2_0))|~in(esk3_1(X2),X2)|~in(X1,esk1_0))).
% 218.05/27.96 cnf(i_0_55, plain, (esk18_3(X1,X2,X3)=X3|esk10_1(X1)=esk12_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_77, plain, (esk10_1(X1)=esk11_1(X1)|in(esk19_3(X1,X2,X3),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_53, plain, (esk10_1(X1)=esk12_1(X1)|in(esk19_3(X1,X2,X3),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_28, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|esk12_1(X1)!=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_67, plain, (esk18_3(X1,X2,X3)=X3|in(esk13_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_43, plain, (esk18_3(X1,X2,X3)=X3|in(esk15_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_61, plain, (singleton(esk13_1(X1))=esk14_1(X1)|esk18_3(X1,X2,X3)=X3|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_32, plain, (in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|esk12_1(X1)!=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_37, plain, (singleton(esk15_1(X1))=esk16_1(X1)|esk18_3(X1,X2,X3)=X3|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_65, plain, (in(esk19_3(X1,X2,X3),X1)|in(esk13_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_41, plain, (in(esk19_3(X1,X2,X3),X1)|in(esk15_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_73, plain, (ordered_pair(esk13_1(X1),esk14_1(X1))=esk11_1(X1)|esk18_3(X1,X2,X3)=X3|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_76, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|esk10_1(X1)=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_52, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|esk10_1(X1)=esk12_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_80, plain, (esk10_1(X1)=esk11_1(X1)|in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_56, plain, (esk10_1(X1)=esk12_1(X1)|in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_68, plain, (in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk13_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_59, plain, (singleton(esk13_1(X1))=esk14_1(X1)|in(esk19_3(X1,X2,X3),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_44, plain, (in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk15_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_62, plain, (singleton(esk13_1(X1))=esk14_1(X1)|in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_38, plain, (singleton(esk15_1(X1))=esk16_1(X1)|in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_35, plain, (singleton(esk15_1(X1))=esk16_1(X1)|in(esk19_3(X1,X2,X3),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_49, plain, (ordered_pair(esk15_1(X1),esk16_1(X1))=esk12_1(X1)|esk18_3(X1,X2,X3)=X3|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_58, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|singleton(esk13_1(X1))=esk14_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_30, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|esk12_1(X1)!=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_64, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|in(esk13_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_40, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|in(esk15_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_78, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|esk10_1(X1)=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_34, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|singleton(esk15_1(X1))=esk16_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_71, plain, (ordered_pair(esk13_1(X1),esk14_1(X1))=esk11_1(X1)|in(esk19_3(X1,X2,X3),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_47, plain, (ordered_pair(esk15_1(X1),esk16_1(X1))=esk12_1(X1)|in(esk19_3(X1,X2,X3),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_66, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|in(esk13_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_42, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|in(esk15_1(X1),X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_54, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|esk10_1(X1)=esk12_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_75, plain, (esk10_1(X1)=esk11_1(X1)|in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))|~in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_60, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|singleton(esk13_1(X1))=esk14_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_36, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|singleton(esk15_1(X1))=esk16_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_27, plain, (in(ordered_pair(X1,singleton(X1)),esk17_2(X2,X3))|esk12_1(X2)!=esk11_1(X2)|~in(ordered_pair(X1,singleton(X1)),cartesian_product2(X2,X3))|~in(X1,X2))).
% 218.05/27.96 cnf(i_0_74, plain, (ordered_pair(esk13_1(X1),esk14_1(X1))=esk11_1(X1)|in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_50, plain, (ordered_pair(esk15_1(X1),esk16_1(X1))=esk12_1(X1)|in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_70, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|ordered_pair(esk13_1(X1),esk14_1(X1))=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_46, plain, (singleton(esk19_3(X1,X2,X3))=esk20_3(X1,X2,X3)|ordered_pair(esk15_1(X1),esk16_1(X1))=esk12_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_51, plain, (esk10_1(X1)=esk12_1(X1)|in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))|~in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_72, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|ordered_pair(esk13_1(X1),esk14_1(X1))=esk11_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_48, plain, (ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))=X3|ordered_pair(esk15_1(X1),esk16_1(X1))=esk12_1(X1)|~in(X3,esk17_2(X1,X2)))).
% 218.05/27.96 cnf(i_0_63, plain, (in(ordered_pair(X1,singleton(X1)),esk17_2(X2,X3))|in(esk13_1(X2),X2)|~in(ordered_pair(X1,singleton(X1)),cartesian_product2(X2,X3))|~in(X1,X2))).
% 218.05/27.96 cnf(i_0_57, plain, (singleton(esk13_1(X1))=esk14_1(X1)|in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))|~in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_39, plain, (in(ordered_pair(X1,singleton(X1)),esk17_2(X2,X3))|in(esk15_1(X2),X2)|~in(ordered_pair(X1,singleton(X1)),cartesian_product2(X2,X3))|~in(X1,X2))).
% 218.05/27.96 cnf(i_0_33, plain, (singleton(esk15_1(X1))=esk16_1(X1)|in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))|~in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_69, plain, (ordered_pair(esk13_1(X1),esk14_1(X1))=esk11_1(X1)|in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))|~in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_45, plain, (ordered_pair(esk15_1(X1),esk16_1(X1))=esk12_1(X1)|in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))|~in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))|~in(X2,X1))).
% 218.05/27.96 cnf(i_0_102095, plain, (X50=X50)).
% 218.05/27.96 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 218.05/27.96 # Begin printing tableau
% 218.05/27.96 # Found 9 steps
% 218.05/27.96 cnf(i_0_18, plain, (epsilon_connected(esk8_0)|~empty(esk8_0)), inference(start_rule)).
% 218.05/27.96 cnf(i_0_102129, plain, (~empty(esk8_0)), inference(closure_rule, [i_0_20])).
% 218.05/27.96 cnf(i_0_102128, plain, (epsilon_connected(esk8_0)), inference(extension_rule, [i_0_8])).
% 218.05/27.96 cnf(i_0_5347578, plain, (ordinal(esk8_0)), inference(extension_rule, [i_0_102103])).
% 218.05/27.96 cnf(i_0_5347580, plain, (~epsilon_transitive(esk8_0)), inference(etableau_closure_rule, [i_0_5347580, ...])).
% 218.05/27.96 cnf(i_0_5347760, plain, (ordinal(esk8_0)), inference(extension_rule, [i_0_7])).
% 218.05/27.96 cnf(i_0_5347761, plain, ($false), inference(extension_rule, [i_0_102097])).
% 218.05/27.96 cnf(i_0_5348842, plain, ($false), inference(closure_rule, [i_0_102095])).
% 218.05/27.96 cnf(i_0_5347883, plain, (epsilon_transitive(esk8_0)), inference(etableau_closure_rule, [i_0_5347883, ...])).
% 218.05/27.96 # End printing tableau
% 218.05/27.96 # SZS output end
% 218.05/27.96 # Branches closed with saturation will be marked with an "s"
% 218.80/28.01 # Child (7283) has found a proof.
% 218.80/28.01
% 218.80/28.01 # Proof search is over...
% 218.80/28.01 # Freeing feature tree
%------------------------------------------------------------------------------