TSTP Solution File: SEU277+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU277+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 : n009.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 09:25:27 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU277+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
% 0.13/0.34 % Computer : n009.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 21:15:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.38 # No SInE strategy applied
% 0.19/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.19/0.38 # and selection function SelectCQIPrecWNTNp.
% 0.19/0.38 #
% 0.19/0.38 # Presaturation interreduction done
% 0.19/0.38 # Number of axioms: 76 Number of unprocessed: 76
% 0.19/0.38 # Tableaux proof search.
% 0.19/0.38 # APR header successfully linked.
% 0.19/0.38 # Hello from C++
% 0.19/0.39 # The folding up rule is enabled...
% 0.19/0.39 # Local unification is enabled...
% 0.19/0.39 # Any saturation attempts will use folding labels...
% 0.19/0.39 # 76 beginning clauses after preprocessing and clausification
% 0.19/0.39 # Creating start rules for all 7 conjectures.
% 0.19/0.39 # There are 7 start rule candidates:
% 0.19/0.39 # Found 28 unit axioms.
% 0.19/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.39 # 7 start rule tableaux created.
% 0.19/0.39 # 48 extension rule candidate clauses
% 0.19/0.39 # 28 unit axiom clauses
% 0.19/0.39
% 0.19/0.39 # Requested 8, 32 cores available to the main process.
% 0.19/0.39 # There are not enough tableaux to fork, creating more from the initial 7
% 0.19/0.39 # Returning from population with 31 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.39 # We now have 31 tableaux to operate on
% 0.19/0.45 # Creating equality axioms
% 0.19/0.45 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.47 # Creating equality axioms
% 0.19/0.47 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.48 # There were 2 total branch saturation attempts.
% 0.19/0.48 # There were 0 of these attempts blocked.
% 0.19/0.48 # There were 0 deferred branch saturation attempts.
% 0.19/0.48 # There were 0 free duplicated saturations.
% 0.19/0.48 # There were 2 total successful branch saturations.
% 0.19/0.48 # There were 0 successful branch saturations in interreduction.
% 0.19/0.48 # There were 0 successful branch saturations on the branch.
% 0.19/0.48 # There were 2 successful branch saturations after the branch.
% 0.19/0.48 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # Begin clausification derivation
% 0.19/0.48
% 0.19/0.48 # End clausification derivation
% 0.19/0.48 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.48 cnf(i_0_7, negated_conjecture, (relation(esk2_0))).
% 0.19/0.48 cnf(i_0_6, negated_conjecture, (relation(esk3_0))).
% 0.19/0.48 cnf(i_0_5, negated_conjecture, (function(esk3_0))).
% 0.19/0.48 cnf(i_0_10, plain, (relation(esk7_0))).
% 0.19/0.48 cnf(i_0_23, plain, (relation(esk9_0))).
% 0.19/0.48 cnf(i_0_31, plain, (relation(esk11_0))).
% 0.19/0.48 cnf(i_0_45, plain, (relation(esk14_0))).
% 0.19/0.48 cnf(i_0_9, plain, (function(esk7_0))).
% 0.19/0.48 cnf(i_0_22, plain, (function(esk9_0))).
% 0.19/0.48 cnf(i_0_29, plain, (function(esk11_0))).
% 0.19/0.48 cnf(i_0_44, plain, (function(esk14_0))).
% 0.19/0.48 cnf(i_0_8, plain, (one_to_one(esk7_0))).
% 0.19/0.48 cnf(i_0_21, plain, (one_to_one(esk9_0))).
% 0.19/0.48 cnf(i_0_14, plain, (ordinal(esk8_0))).
% 0.19/0.48 cnf(i_0_17, plain, (ordinal(esk9_0))).
% 0.19/0.48 cnf(i_0_24, plain, (ordinal(esk10_0))).
% 0.19/0.48 cnf(i_0_16, plain, (epsilon_transitive(esk8_0))).
% 0.19/0.48 cnf(i_0_19, plain, (epsilon_transitive(esk9_0))).
% 0.19/0.48 cnf(i_0_26, plain, (epsilon_transitive(esk10_0))).
% 0.19/0.48 cnf(i_0_15, plain, (epsilon_connected(esk8_0))).
% 0.19/0.48 cnf(i_0_18, plain, (epsilon_connected(esk9_0))).
% 0.19/0.48 cnf(i_0_25, plain, (epsilon_connected(esk10_0))).
% 0.19/0.48 cnf(i_0_20, plain, (empty(esk9_0))).
% 0.19/0.48 cnf(i_0_30, plain, (empty(esk11_0))).
% 0.19/0.48 cnf(i_0_38, plain, (empty(esk12_0))).
% 0.19/0.48 cnf(i_0_27, plain, (~empty(esk10_0))).
% 0.19/0.48 cnf(i_0_39, plain, (~empty(esk13_0))).
% 0.19/0.48 cnf(i_0_46, plain, (~empty(ordered_pair(X1,X2)))).
% 0.19/0.48 cnf(i_0_28, plain, (function(X1)|~empty(X1))).
% 0.19/0.48 cnf(i_0_35, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.48 cnf(i_0_12, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.48 cnf(i_0_37, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.48 cnf(i_0_11, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.48 cnf(i_0_36, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.48 cnf(i_0_40, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.48 cnf(i_0_13, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.19/0.48 cnf(i_0_3, negated_conjecture, (in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))|in(esk4_1(X1),X1))).
% 0.19/0.48 cnf(i_0_32, plain, (one_to_one(X1)|~empty(X1)|~relation(X1))).
% 0.19/0.48 cnf(i_0_2, negated_conjecture, (ordered_pair(esk5_1(X1),esk6_1(X1))=esk4_1(X1)|in(esk4_1(X1),X1))).
% 0.19/0.48 cnf(i_0_1, negated_conjecture, (in(ordered_pair(apply(esk3_0,esk5_1(X1)),apply(esk3_0,esk6_1(X1))),esk2_0)|in(esk4_1(X1),X1))).
% 0.19/0.48 cnf(i_0_50, plain, (esk23_4(X1,X2,X3,X4)=X4|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_4, negated_conjecture, (esk4_1(X1)!=ordered_pair(X2,X3)|~in(ordered_pair(apply(esk3_0,X2),apply(esk3_0,X3)),esk2_0)|~in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))|~in(esk4_1(X1),X1))).
% 0.19/0.48 cnf(i_0_51, plain, (in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_80, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_65, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_81, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_66, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_49, plain, (ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_79, plain, (ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_64, plain, (ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_75, plain, (ordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))=esk16_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_60, plain, (ordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))=esk17_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_47, plain, (in(ordered_pair(X1,X2),esk22_3(X3,X4,X5))|esk17_3(X3,X4,X5)!=esk16_3(X3,X4,X5)|~in(ordered_pair(apply(X5,X1),apply(X5,X2)),X4)|~in(ordered_pair(X1,X2),cartesian_product2(X3,X3))|~function(X5)|~relation(X4)|~relation(X5))).
% 0.19/0.48 cnf(i_0_70, plain, (esk23_4(X1,X2,X3,X4)=X4|in(ordered_pair(apply(X3,esk18_3(X1,X2,X3)),apply(X3,esk19_3(X1,X2,X3))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_77, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))|~in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)|~in(ordered_pair(X4,X5),cartesian_product2(X1,X1))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_48, plain, (in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)|esk17_3(X2,X3,X1)!=esk16_3(X2,X3,X1)|~in(X4,esk22_3(X2,X3,X1))|~function(X1)|~relation(X3)|~relation(X1))).
% 0.19/0.48 cnf(i_0_55, plain, (esk23_4(X1,X2,X3,X4)=X4|in(ordered_pair(apply(X3,esk20_3(X1,X2,X3)),apply(X3,esk21_3(X1,X2,X3))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_78, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_76, plain, (ordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))=esk16_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_62, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))|~in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)|~in(ordered_pair(X4,X5),cartesian_product2(X1,X1))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_61, plain, (ordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))=esk17_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_63, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_74, plain, (ordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))=esk16_3(X1,X2,X3)|ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_71, plain, (in(ordered_pair(apply(X1,esk18_3(X2,X3,X1)),apply(X1,esk19_3(X2,X3,X1))),X3)|in(esk23_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~in(X4,esk22_3(X2,X3,X1))|~function(X1)|~relation(X1)|~relation(X3))).
% 0.19/0.48 cnf(i_0_56, plain, (in(ordered_pair(apply(X1,esk20_3(X2,X3,X1)),apply(X1,esk21_3(X2,X3,X1))),X3)|in(esk23_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~in(X4,esk22_3(X2,X3,X1))|~function(X1)|~relation(X1)|~relation(X3))).
% 0.19/0.48 cnf(i_0_73, plain, (ordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))=esk16_3(X1,X2,X3)|in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_58, plain, (ordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))=esk17_3(X1,X2,X3)|in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_59, plain, (ordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))=esk17_3(X1,X2,X3)|ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_69, plain, (ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|in(ordered_pair(apply(X3,esk18_3(X1,X2,X3)),apply(X3,esk19_3(X1,X2,X3))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_72, plain, (ordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))=esk16_3(X1,X2,X3)|in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))|~in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)|~in(ordered_pair(X4,X5),cartesian_product2(X1,X1))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_57, plain, (ordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))=esk17_3(X1,X2,X3)|in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))|~in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)|~in(ordered_pair(X4,X5),cartesian_product2(X1,X1))|~function(X3)|~relation(X2)|~relation(X3))).
% 0.19/0.48 cnf(i_0_54, plain, (ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))=X4|in(ordered_pair(apply(X3,esk20_3(X1,X2,X3)),apply(X3,esk21_3(X1,X2,X3))),X2)|~in(X4,esk22_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))).
% 0.19/0.48 cnf(i_0_68, plain, (in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)|in(ordered_pair(apply(X1,esk18_3(X2,X3,X1)),apply(X1,esk19_3(X2,X3,X1))),X3)|~in(X4,esk22_3(X2,X3,X1))|~function(X1)|~relation(X3)|~relation(X1))).
% 0.19/0.48 cnf(i_0_67, plain, (in(ordered_pair(apply(X1,esk18_3(X2,X3,X1)),apply(X1,esk19_3(X2,X3,X1))),X3)|in(ordered_pair(X4,X5),esk22_3(X2,X3,X1))|~in(ordered_pair(apply(X1,X4),apply(X1,X5)),X3)|~in(ordered_pair(X4,X5),cartesian_product2(X2,X2))|~function(X1)|~relation(X3)|~relation(X1))).
% 0.19/0.48 cnf(i_0_52, plain, (in(ordered_pair(apply(X1,esk20_3(X2,X3,X1)),apply(X1,esk21_3(X2,X3,X1))),X3)|in(ordered_pair(X4,X5),esk22_3(X2,X3,X1))|~in(ordered_pair(apply(X1,X4),apply(X1,X5)),X3)|~in(ordered_pair(X4,X5),cartesian_product2(X2,X2))|~function(X1)|~relation(X3)|~relation(X1))).
% 0.19/0.48 cnf(i_0_53, plain, (in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)|in(ordered_pair(apply(X1,esk20_3(X2,X3,X1)),apply(X1,esk21_3(X2,X3,X1))),X3)|~in(X4,esk22_3(X2,X3,X1))|~function(X1)|~relation(X3)|~relation(X1))).
% 0.19/0.48 cnf(i_0_7553, plain, (X58=X58)).
% 0.19/0.48 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.48 # Begin printing tableau
% 0.19/0.48 # Found 6 steps
% 0.19/0.48 cnf(i_0_7553, plain, (esk2_0=esk2_0), inference(start_rule)).
% 0.19/0.48 cnf(i_0_7843, plain, (esk2_0=esk2_0), inference(extension_rule, [i_0_7557])).
% 0.19/0.48 cnf(i_0_8100, plain, (~relation(esk2_0)), inference(closure_rule, [i_0_7])).
% 0.19/0.48 cnf(i_0_8098, plain, (relation(esk2_0)), inference(extension_rule, [i_0_32])).
% 0.19/0.48 cnf(i_0_8116, plain, (one_to_one(esk2_0)), inference(etableau_closure_rule, [i_0_8116, ...])).
% 0.19/0.48 cnf(i_0_8117, plain, (~empty(esk2_0)), inference(etableau_closure_rule, [i_0_8117, ...])).
% 0.19/0.48 # End printing tableau
% 0.19/0.48 # SZS output end
% 0.19/0.48 # Branches closed with saturation will be marked with an "s"
% 0.19/0.49 # Child (30331) has found a proof.
% 0.19/0.49
% 0.19/0.49 # Proof search is over...
% 0.19/0.49 # Freeing feature tree
%------------------------------------------------------------------------------