TSTP Solution File: SEU297+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU297+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 : n006.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 09:25:37 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 00:21:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 # No SInE strategy applied
% 0.13/0.38 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.13/0.38 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.38 #
% 0.13/0.38 # Number of axioms: 101 Number of unprocessed: 101
% 0.13/0.38 # Tableaux proof search.
% 0.13/0.38 # APR header successfully linked.
% 0.13/0.38 # Hello from C++
% 0.13/0.38 # The folding up rule is enabled...
% 0.13/0.38 # Local unification is enabled...
% 0.13/0.38 # Any saturation attempts will use folding labels...
% 0.13/0.38 # 101 beginning clauses after preprocessing and clausification
% 0.13/0.38 # Creating start rules for all 6 conjectures.
% 0.13/0.38 # There are 6 start rule candidates:
% 0.13/0.38 # Found 51 unit axioms.
% 0.13/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38 # 6 start rule tableaux created.
% 0.13/0.38 # 50 extension rule candidate clauses
% 0.13/0.38 # 51 unit axiom clauses
% 0.13/0.38
% 0.13/0.38 # Requested 8, 32 cores available to the main process.
% 0.13/0.38 # There are not enough tableaux to fork, creating more from the initial 6
% 0.13/0.38 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.38 # We now have 15 tableaux to operate on
% 0.19/0.52 # Creating equality axioms
% 0.19/0.52 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.53 # There were 1 total branch saturation attempts.
% 0.19/0.53 # There were 0 of these attempts blocked.
% 0.19/0.53 # There were 0 deferred branch saturation attempts.
% 0.19/0.53 # There were 0 free duplicated saturations.
% 0.19/0.53 # There were 1 total successful branch saturations.
% 0.19/0.53 # There were 0 successful branch saturations in interreduction.
% 0.19/0.53 # There were 0 successful branch saturations on the branch.
% 0.19/0.53 # There were 1 successful branch saturations after the branch.
% 0.19/0.53 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 # Begin clausification derivation
% 0.19/0.53
% 0.19/0.53 # End clausification derivation
% 0.19/0.53 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.53 cnf(i_0_5, negated_conjecture, (relation(esk3_0))).
% 0.19/0.53 cnf(i_0_31, plain, (relation(esk9_0))).
% 0.19/0.53 cnf(i_0_51, plain, (relation(esk11_0))).
% 0.19/0.53 cnf(i_0_60, plain, (relation(esk13_0))).
% 0.19/0.53 cnf(i_0_64, plain, (relation(esk14_0))).
% 0.19/0.53 cnf(i_0_67, plain, (relation(esk15_0))).
% 0.19/0.53 cnf(i_0_87, plain, (relation(esk20_0))).
% 0.19/0.53 cnf(i_0_4, negated_conjecture, (function(esk3_0))).
% 0.19/0.53 cnf(i_0_30, plain, (function(esk9_0))).
% 0.19/0.53 cnf(i_0_50, plain, (function(esk11_0))).
% 0.19/0.53 cnf(i_0_58, plain, (function(esk13_0))).
% 0.19/0.53 cnf(i_0_86, plain, (function(esk20_0))).
% 0.19/0.53 cnf(i_0_48, plain, (empty(esk11_0))).
% 0.19/0.53 cnf(i_0_59, plain, (empty(esk13_0))).
% 0.19/0.53 cnf(i_0_65, plain, (empty(esk14_0))).
% 0.19/0.53 cnf(i_0_79, plain, (empty(esk18_0))).
% 0.19/0.53 cnf(i_0_29, plain, (one_to_one(esk9_0))).
% 0.19/0.53 cnf(i_0_49, plain, (one_to_one(esk11_0))).
% 0.19/0.53 cnf(i_0_20, plain, (epsilon_transitive(esk6_0))).
% 0.19/0.53 cnf(i_0_44, plain, (epsilon_transitive(esk10_0))).
% 0.19/0.53 cnf(i_0_47, plain, (epsilon_transitive(esk11_0))).
% 0.19/0.53 cnf(i_0_54, plain, (epsilon_transitive(esk12_0))).
% 0.19/0.53 cnf(i_0_19, plain, (epsilon_connected(esk6_0))).
% 0.19/0.53 cnf(i_0_43, plain, (epsilon_connected(esk10_0))).
% 0.19/0.53 cnf(i_0_46, plain, (epsilon_connected(esk11_0))).
% 0.19/0.53 cnf(i_0_53, plain, (epsilon_connected(esk12_0))).
% 0.19/0.53 cnf(i_0_18, plain, (ordinal(esk6_0))).
% 0.19/0.53 cnf(i_0_42, plain, (ordinal(esk10_0))).
% 0.19/0.53 cnf(i_0_45, plain, (ordinal(esk11_0))).
% 0.19/0.53 cnf(i_0_52, plain, (ordinal(esk12_0))).
% 0.19/0.53 cnf(i_0_17, plain, (natural(esk6_0))).
% 0.19/0.53 cnf(i_0_22, plain, (finite(esk7_0))).
% 0.19/0.53 cnf(i_0_21, plain, (~empty(esk6_0))).
% 0.19/0.53 cnf(i_0_23, plain, (~empty(esk7_0))).
% 0.19/0.53 cnf(i_0_55, plain, (~empty(esk12_0))).
% 0.19/0.53 cnf(i_0_68, plain, (~empty(esk15_0))).
% 0.19/0.53 cnf(i_0_80, plain, (~empty(esk19_0))).
% 0.19/0.53 cnf(i_0_14, plain, (relation(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_13, plain, (function(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_15, plain, (empty(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_77, plain, (empty(esk17_1(X1)))).
% 0.19/0.53 cnf(i_0_12, plain, (one_to_one(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_11, plain, (epsilon_transitive(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_10, plain, (epsilon_connected(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_9, plain, (ordinal(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_8, plain, (natural(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_7, plain, (finite(esk5_1(X1)))).
% 0.19/0.53 cnf(i_0_66, plain, (relation(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_57, plain, (function(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_74, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_40, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.53 cnf(i_0_73, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_39, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.53 cnf(i_0_72, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_56, plain, (finite(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_24, plain, (empty(X1)|finite(esk8_1(X1)))).
% 0.19/0.53 cnf(i_0_88, plain, (~empty(powerset(X1)))).
% 0.19/0.53 cnf(i_0_70, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.19/0.53 cnf(i_0_71, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.19/0.53 cnf(i_0_38, plain, (epsilon_transitive(X1)|~empty(X1)|~ordinal(X1))).
% 0.19/0.53 cnf(i_0_37, plain, (epsilon_connected(X1)|~empty(X1)|~ordinal(X1))).
% 0.19/0.53 cnf(i_0_41, plain, (ordinal(X1)|~epsilon_transitive(X1)|~epsilon_connected(X1))).
% 0.19/0.53 cnf(i_0_35, plain, (natural(X1)|~empty(X1)|~ordinal(X1))).
% 0.19/0.53 cnf(i_0_25, plain, (empty(X1)|~empty(esk8_1(X1)))).
% 0.19/0.53 cnf(i_0_75, plain, (empty(X1)|~empty(esk16_1(X1)))).
% 0.19/0.53 cnf(i_0_6, negated_conjecture, (element(esk2_0,powerset(powerset(esk1_0))))).
% 0.19/0.53 cnf(i_0_61, plain, (one_to_one(X1)|~relation(X1)|~function(X1)|~empty(X1))).
% 0.19/0.53 cnf(i_0_16, plain, (element(esk5_1(X1),powerset(X1)))).
% 0.19/0.53 cnf(i_0_78, plain, (element(esk17_1(X1),powerset(X1)))).
% 0.19/0.53 cnf(i_0_69, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.19/0.53 cnf(i_0_26, plain, (empty(X1)|element(esk8_1(X1),powerset(X1)))).
% 0.19/0.53 cnf(i_0_76, plain, (empty(X1)|element(esk16_1(X1),powerset(X1)))).
% 0.19/0.53 cnf(i_0_34, plain, (epsilon_transitive(X1)|~ordinal(X2)|~element(X1,X2))).
% 0.19/0.53 cnf(i_0_33, plain, (epsilon_connected(X1)|~ordinal(X2)|~element(X1,X2))).
% 0.19/0.53 cnf(i_0_32, plain, (ordinal(X1)|~ordinal(X2)|~element(X1,X2))).
% 0.19/0.53 cnf(i_0_27, plain, (finite(X2)|~finite(X1)|~element(X2,powerset(X1)))).
% 0.19/0.53 cnf(i_0_81, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.19/0.53 cnf(i_0_28, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 0.19/0.53 cnf(i_0_2, negated_conjecture, (in(esk4_1(X1),X1)|in(esk4_1(X1),powerset(relation_dom(esk3_0))))).
% 0.19/0.53 cnf(i_0_1, negated_conjecture, (in(esk4_1(X1),X1)|in(relation_image(esk3_0,esk4_1(X1)),esk2_0))).
% 0.19/0.53 cnf(i_0_3, negated_conjecture, (~in(esk4_1(X1),X1)|~in(esk4_1(X1),powerset(relation_dom(esk3_0)))|~in(relation_image(esk3_0,esk4_1(X1)),esk2_0))).
% 0.19/0.53 cnf(i_0_106, plain, (esk21_3(X4,X3,X1)=esk22_3(X4,X3,X1)|in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk24_3(X4,X3,X1)))).
% 0.19/0.53 cnf(i_0_98, plain, (esk21_3(X4,X3,X1)=esk23_3(X4,X3,X1)|in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk24_3(X4,X3,X1)))).
% 0.19/0.53 cnf(i_0_105, plain, (esk21_3(X5,X4,X2)=esk22_3(X5,X4,X2)|in(X3,esk24_3(X5,X4,X2))|X1!=X3|~relation(X2)|~function(X2)|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~in(X1,powerset(relation_dom(X2))))).
% 0.19/0.53 cnf(i_0_97, plain, (esk21_3(X5,X4,X2)=esk23_3(X5,X4,X2)|in(X3,esk24_3(X5,X4,X2))|X1!=X3|~relation(X2)|~function(X2)|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~in(X1,powerset(relation_dom(X2))))).
% 0.19/0.53 cnf(i_0_90, plain, (in(relation_image(X1,X2),X3)|esk23_3(X4,X3,X1)!=esk22_3(X4,X3,X1)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk24_3(X4,X3,X1)))).
% 0.19/0.53 cnf(i_0_89, plain, (in(X3,esk24_3(X5,X4,X2))|X1!=X3|esk23_3(X5,X4,X2)!=esk22_3(X5,X4,X2)|~relation(X2)|~function(X2)|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~in(X1,powerset(relation_dom(X2))))).
% 0.19/0.53 cnf(i_0_102, plain, (in(relation_image(X1,X2),X3)|in(relation_image(X1,esk22_3(X4,X3,X1)),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk24_3(X4,X3,X1)))).
% 0.19/0.53 cnf(i_0_94, plain, (in(relation_image(X1,X2),X3)|in(relation_image(X1,esk23_3(X4,X3,X1)),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk24_3(X4,X3,X1)))).
% 0.19/0.53 cnf(i_0_101, plain, (in(X3,esk24_3(X5,X4,X2))|in(relation_image(X2,esk22_3(X5,X4,X2)),X4)|X1!=X3|~relation(X2)|~function(X2)|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~in(X1,powerset(relation_dom(X2))))).
% 0.19/0.53 cnf(i_0_93, plain, (in(X3,esk24_3(X5,X4,X2))|in(relation_image(X2,esk23_3(X5,X4,X2)),X4)|X1!=X3|~relation(X2)|~function(X2)|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~in(X1,powerset(relation_dom(X2))))).
% 0.19/0.53 cnf(i_0_107, plain, (esk25_4(X1,X2,X3,X4)=X4|esk21_3(X1,X2,X3)=esk22_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_99, plain, (esk25_4(X1,X2,X3,X4)=X4|esk21_3(X1,X2,X3)=esk23_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_91, plain, (esk25_4(X1,X2,X3,X4)=X4|esk23_3(X1,X2,X3)!=esk22_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_103, plain, (esk25_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk22_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_95, plain, (esk25_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk23_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_108, plain, (esk21_3(X1,X2,X3)=esk22_3(X1,X2,X3)|in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_100, plain, (esk21_3(X1,X2,X3)=esk23_3(X1,X2,X3)|in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_92, plain, (in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk23_3(X1,X2,X3)!=esk22_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_104, plain, (in(relation_image(X3,esk22_3(X1,X2,X3)),X2)|in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 cnf(i_0_96, plain, (in(relation_image(X3,esk23_3(X1,X2,X3)),X2)|in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk24_3(X1,X2,X3)))).
% 0.19/0.53 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.53 # Begin printing tableau
% 0.19/0.53 # Found 7 steps
% 0.19/0.53 cnf(i_0_4, negated_conjecture, (function(esk3_0)), inference(start_rule)).
% 0.19/0.53 cnf(i_0_117, plain, (function(esk3_0)), inference(extension_rule, [i_0_28])).
% 0.19/0.53 cnf(i_0_1241, plain, (~relation(esk3_0)), inference(closure_rule, [i_0_5])).
% 0.19/0.53 cnf(i_0_1243, plain, (~finite(esk7_0)), inference(closure_rule, [i_0_22])).
% 0.19/0.53 cnf(i_0_1240, plain, (finite(relation_image(esk3_0,esk7_0))), inference(extension_rule, [i_0_27])).
% 0.19/0.53 cnf(i_0_1300, plain, (~element(esk5_1(relation_image(esk3_0,esk7_0)),powerset(relation_image(esk3_0,esk7_0)))), inference(closure_rule, [i_0_16])).
% 0.19/0.53 cnf(i_0_1298, plain, (finite(esk5_1(relation_image(esk3_0,esk7_0)))), inference(etableau_closure_rule, [i_0_1298, ...])).
% 0.19/0.53 # End printing tableau
% 0.19/0.53 # SZS output end
% 0.19/0.53 # Branches closed with saturation will be marked with an "s"
% 0.19/0.53 # Child (4530) has found a proof.
% 0.19/0.53
% 0.19/0.53 # Proof search is over...
% 0.19/0.53 # Freeing feature tree
%------------------------------------------------------------------------------