0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % 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 : n015.cluster.edu 0.11/0.33 Model : x86_64 x86_64 0.11/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 RAMPerCPU : 8042.1875MB 0.11/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 03:53:56 EDT 2022 0.11/0.33 % 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_RG_S04AN 0.19/0.38 # and selection function SelectComplexExceptUniqMaxHorn. 0.19/0.38 # 0.19/0.38 # Presaturation interreduction done 0.19/0.38 # Number of axioms: 113 Number of unprocessed: 113 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 # 113 beginning clauses after preprocessing and clausification 0.19/0.39 # Creating start rules for all 12 conjectures. 0.19/0.39 # There are 12 start rule candidates: 0.19/0.39 # Found 15 unit axioms. 0.19/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. 0.19/0.39 # 12 start rule tableaux created. 0.19/0.39 # 98 extension rule candidate clauses 0.19/0.39 # 15 unit axiom clauses 0.19/0.39 0.19/0.39 # Requested 8, 32 cores available to the main process. 2.22/0.71 # There were 2 total branch saturation attempts. 2.22/0.71 # There were 0 of these attempts blocked. 2.22/0.71 # There were 0 deferred branch saturation attempts. 2.22/0.71 # There were 0 free duplicated saturations. 2.22/0.71 # There were 2 total successful branch saturations. 2.22/0.71 # There were 0 successful branch saturations in interreduction. 2.22/0.71 # There were 0 successful branch saturations on the branch. 2.22/0.71 # There were 2 successful branch saturations after the branch. 2.22/0.71 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 2.22/0.71 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 2.22/0.71 # Begin clausification derivation 2.22/0.71 2.22/0.71 # End clausification derivation 2.22/0.71 # Begin listing active clauses obtained from FOF to CNF conversion 2.22/0.71 cnf(i_0_11, negated_conjecture, (transitive_relstr(esk1_0))). 2.22/0.71 cnf(i_0_10, negated_conjecture, (rel_str(esk1_0))). 2.22/0.71 cnf(i_0_8, negated_conjecture, (finite(esk3_0))). 2.22/0.71 cnf(i_0_9, negated_conjecture, (element(esk3_0,powerset(esk2_0)))). 2.22/0.71 cnf(i_0_27, plain, (finite(esk11_0))). 2.22/0.71 cnf(i_0_29, plain, (one_sorted_str(esk12_0))). 2.22/0.71 cnf(i_0_14, plain, (empty(esk7_0))). 2.22/0.71 cnf(i_0_7, negated_conjecture, (element(esk2_0,powerset(the_carrier(esk1_0))))). 2.22/0.71 cnf(i_0_32, plain, (empty(esk13_1(X1)))). 2.22/0.71 cnf(i_0_31, plain, (element(esk13_1(X1),powerset(X1)))). 2.22/0.71 cnf(i_0_12, negated_conjecture, (~empty_carrier(esk1_0))). 2.22/0.71 cnf(i_0_30, plain, (~empty_carrier(esk12_0))). 2.22/0.71 cnf(i_0_21, plain, (~empty(esk9_0))). 2.22/0.71 cnf(i_0_28, plain, (~empty(esk11_0))). 2.22/0.71 cnf(i_0_114, plain, (~empty(powerset(X1)))). 2.22/0.71 cnf(i_0_23, plain, (finite(X1)|~empty(X1))). 2.22/0.71 cnf(i_0_13, plain, (one_sorted_str(X1)|~rel_str(X1))). 2.22/0.71 cnf(i_0_36, plain, (~in(X1,X2)|~in(X2,X1))). 2.22/0.71 cnf(i_0_15, plain, (empty(X1)|~empty(esk8_1(X1)))). 2.22/0.71 cnf(i_0_24, plain, (empty(X1)|~empty(esk10_1(X1)))). 2.22/0.71 cnf(i_0_115, plain, (empty(X1)|~empty(esk26_1(X1)))). 2.22/0.71 cnf(i_0_20, plain, (empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1))). 2.22/0.71 cnf(i_0_16, plain, (empty(X1)|finite(esk8_1(X1)))). 2.22/0.71 cnf(i_0_19, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). 2.22/0.71 cnf(i_0_25, plain, (empty(X1)|finite(esk10_1(X1)))). 2.22/0.71 cnf(i_0_3, negated_conjecture, (in(esk6_1(X1),esk2_0)|in(esk4_1(X1),X1))). 2.22/0.71 cnf(i_0_4, negated_conjecture, (in(esk4_1(X1),X1)|element(esk6_1(X1),the_carrier(esk1_0)))). 2.22/0.71 cnf(i_0_33, plain, (empty_carrier(X1)|~empty(esk14_1(X1))|~one_sorted_str(X1))). 2.22/0.71 cnf(i_0_5, negated_conjecture, (esk5_1(X1)=esk4_1(X1)|in(esk4_1(X1),X1))). 2.22/0.71 cnf(i_0_17, plain, (empty(X1)|element(esk8_1(X1),powerset(X1)))). 2.22/0.71 cnf(i_0_26, plain, (empty(X1)|element(esk10_1(X1),powerset(X1)))). 2.22/0.71 cnf(i_0_116, plain, (empty(X1)|element(esk26_1(X1),powerset(X1)))). 2.22/0.71 cnf(i_0_34, plain, (element(esk14_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))). 2.22/0.71 cnf(i_0_2, negated_conjecture, (relstr_set_smaller(esk1_0,esk5_1(X1),esk6_1(X1))|in(esk4_1(X1),X1))). 2.22/0.71 cnf(i_0_1, negated_conjecture, (in(esk4_1(X1),powerset(esk3_0))|in(esk4_1(X1),X1))). 2.22/0.71 cnf(i_0_6, negated_conjecture, (~relstr_set_smaller(esk1_0,esk4_1(X1),X2)|~in(esk4_1(X1),powerset(esk3_0))|~in(esk4_1(X1),X1)|~in(X2,esk2_0)|~element(X2,the_carrier(esk1_0)))). 2.22/0.71 cnf(i_0_39, plain, (in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_109, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_43, plain, (esk23_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_42, plain, (esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_41, plain, (element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_38, plain, (in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_102, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_74, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_46, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_111, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_108, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_107, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(X4,esk22_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~element(X5,the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_85, plain, (esk23_4(X1,X2,X3,X4)=X4|in(esk19_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_71, plain, (esk23_4(X1,X2,X3,X4)=X4|in(esk21_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_84, plain, (esk24_4(X1,X2,X3,X4)=X4|in(esk19_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_70, plain, (esk24_4(X1,X2,X3,X4)=X4|in(esk21_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_113, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_104, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_101, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_76, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_73, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_48, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_45, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_106, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_78, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_50, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|esk23_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_112, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_99, plain, (esk23_4(X1,X2,X3,X4)=X4|element(esk19_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_57, plain, (esk23_4(X1,X2,X3,X4)=X4|element(esk21_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_98, plain, (esk24_4(X1,X2,X3,X4)=X4|element(esk19_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_56, plain, (esk24_4(X1,X2,X3,X4)=X4|element(esk21_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_81, plain, (in(esk25_4(X1,X2,X3,X4),X2)|in(esk19_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_100, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(X4,esk22_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~element(X5,the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_105, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_77, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_49, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_67, plain, (in(esk25_4(X1,X2,X3,X4),X2)|in(esk21_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_40, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|empty_carrier(X1)|esk17_3(X1,X2,X3)!=esk16_3(X1,X2,X3)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_83, plain, (in(esk19_3(X1,X2,X3),X2)|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_80, plain, (in(esk23_4(X1,X2,X3,X4),powerset(X3))|in(esk19_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_69, plain, (in(esk21_3(X1,X2,X3),X2)|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_66, plain, (in(esk23_4(X1,X2,X3,X4),powerset(X3))|in(esk21_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_95, plain, (in(esk25_4(X1,X2,X3,X4),X2)|element(esk19_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_53, plain, (in(esk25_4(X1,X2,X3,X4),X2)|element(esk21_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_97, plain, (element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|element(esk19_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_94, plain, (in(esk23_4(X1,X2,X3,X4),powerset(X3))|element(esk19_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_55, plain, (element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|element(esk21_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_52, plain, (in(esk23_4(X1,X2,X3,X4),powerset(X3))|element(esk21_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_92, plain, (esk23_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_82, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|in(esk19_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_68, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|in(esk21_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_96, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|element(esk19_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_54, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|element(esk21_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_72, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(X4,esk22_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~element(X5,the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_64, plain, (esk23_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_91, plain, (esk24_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_63, plain, (esk24_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_110, plain, (esk15_3(X1,X2,X3)=esk16_3(X1,X2,X3)|relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_103, plain, (esk15_3(X1,X2,X3)=esk17_3(X1,X2,X3)|relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_75, plain, (esk18_3(X1,X2,X3)=esk17_3(X1,X2,X3)|relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_88, plain, (relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_60, plain, (relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|in(esk25_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_90, plain, (relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_62, plain, (relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|element(esk25_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_47, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_37, plain, (in(X1,esk22_3(X2,X3,X4))|empty_carrier(X2)|esk17_3(X2,X3,X4)!=esk16_3(X2,X3,X4)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X4,powerset(X3))|~element(X5,the_carrier(X2))|~rel_str(X2)|~transitive_relstr(X2))). 2.22/0.71 cnf(i_0_44, plain, (esk20_3(X1,X2,X3)=esk16_3(X1,X2,X3)|in(X4,esk22_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~element(X5,the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_87, plain, (relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_59, plain, (relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|in(esk23_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_79, plain, (in(X1,esk22_3(X2,X3,X4))|in(esk19_3(X2,X3,X4),X3)|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X4,powerset(X3))|~element(X5,the_carrier(X2))|~rel_str(X2)|~transitive_relstr(X2))). 2.22/0.71 cnf(i_0_65, plain, (in(X1,esk22_3(X2,X3,X4))|in(esk21_3(X2,X3,X4),X3)|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X4,powerset(X3))|~element(X5,the_carrier(X2))|~rel_str(X2)|~transitive_relstr(X2))). 2.22/0.71 cnf(i_0_93, plain, (in(X1,esk22_3(X2,X3,X4))|element(esk19_3(X2,X3,X4),the_carrier(X2))|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X4,powerset(X3))|~element(X5,the_carrier(X2))|~rel_str(X2)|~transitive_relstr(X2))). 2.22/0.71 cnf(i_0_51, plain, (in(X1,esk22_3(X2,X3,X4))|element(esk21_3(X2,X3,X4),the_carrier(X2))|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X4,powerset(X3))|~element(X5,the_carrier(X2))|~rel_str(X2)|~transitive_relstr(X2))). 2.22/0.71 cnf(i_0_89, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_61, plain, (relstr_set_smaller(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk22_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_86, plain, (relstr_set_smaller(X1,esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|in(X4,esk22_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~element(X5,the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 cnf(i_0_58, plain, (relstr_set_smaller(X1,esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))|in(X4,esk22_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~element(X5,the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 2.22/0.71 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 2.22/0.71 # Begin printing tableau 2.22/0.71 # Found 5 steps 2.22/0.71 cnf(i_0_12, negated_conjecture, (~empty_carrier(esk1_0)), inference(start_rule)). 2.22/0.71 cnf(i_0_156, plain, (~empty_carrier(esk1_0)), inference(extension_rule, [i_0_20])). 2.22/0.71 cnf(i_0_175, plain, (~empty(the_carrier(esk1_0))), inference(extension_rule, [i_0_15])). 2.22/0.71 cnf(i_0_176, plain, (~one_sorted_str(esk1_0)), inference(etableau_closure_rule, [i_0_176, ...])). 2.22/0.71 cnf(i_0_184, plain, (~empty(esk8_1(the_carrier(esk1_0)))), inference(etableau_closure_rule, [i_0_184, ...])). 2.22/0.71 # End printing tableau 2.22/0.71 # SZS output end 2.22/0.71 # Branches closed with saturation will be marked with an "s" 2.72/0.71 # Child (31033) has found a proof. 2.72/0.71 2.72/0.71 # Proof search is over... 2.72/0.71 # Freeing feature tree 2.72/0.71 EOF