TSTP Solution File: SEU314+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU314+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 : 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 09:25:46 EDT 2022
% Result : Theorem 193.26s 24.62s
% Output : CNFRefutation 193.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % 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 : n020.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 : Mon Jun 20 06:07:48 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.38 # No SInE strategy applied
% 0.11/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.11/0.38 #
% 0.11/0.38 # Presaturation interreduction done
% 0.11/0.38 # Number of axioms: 141 Number of unprocessed: 141
% 0.11/0.38 # Tableaux proof search.
% 0.11/0.38 # APR header successfully linked.
% 0.11/0.38 # Hello from C++
% 0.11/0.38 # The folding up rule is enabled...
% 0.11/0.38 # Local unification is enabled...
% 0.11/0.38 # Any saturation attempts will use folding labels...
% 0.11/0.38 # 141 beginning clauses after preprocessing and clausification
% 0.11/0.38 # Creating start rules for all 9 conjectures.
% 0.11/0.38 # There are 9 start rule candidates:
% 0.11/0.38 # Found 13 unit axioms.
% 0.11/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.11/0.38 # 9 start rule tableaux created.
% 0.11/0.38 # 128 extension rule candidate clauses
% 0.11/0.38 # 13 unit axiom clauses
% 0.11/0.38
% 0.11/0.38 # Requested 8, 32 cores available to the main process.
% 61.09/8.05 # Creating equality axioms
% 61.09/8.05 # Ran out of tableaux, making start rules for all clauses
% 101.72/13.15 # Creating equality axioms
% 101.72/13.15 # Ran out of tableaux, making start rules for all clauses
% 130.35/16.74 # Creating equality axioms
% 130.35/16.74 # Ran out of tableaux, making start rules for all clauses
% 132.81/17.07 # Creating equality axioms
% 132.81/17.07 # Ran out of tableaux, making start rules for all clauses
% 193.26/24.62 # There were 4 total branch saturation attempts.
% 193.26/24.62 # There were 0 of these attempts blocked.
% 193.26/24.62 # There were 0 deferred branch saturation attempts.
% 193.26/24.62 # There were 0 free duplicated saturations.
% 193.26/24.62 # There were 2 total successful branch saturations.
% 193.26/24.62 # There were 0 successful branch saturations in interreduction.
% 193.26/24.62 # There were 0 successful branch saturations on the branch.
% 193.26/24.62 # There were 2 successful branch saturations after the branch.
% 193.26/24.62 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 193.26/24.62 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 193.26/24.62 # Begin clausification derivation
% 193.26/24.62
% 193.26/24.62 # End clausification derivation
% 193.26/24.62 # Begin listing active clauses obtained from FOF to CNF conversion
% 193.26/24.62 cnf(i_0_9, negated_conjecture, (topological_space(esk1_0))).
% 193.26/24.62 cnf(i_0_8, negated_conjecture, (top_str(esk1_0))).
% 193.26/24.62 cnf(i_0_7, negated_conjecture, (element(esk2_0,powerset(the_carrier(esk1_0))))).
% 193.26/24.62 cnf(i_0_14, plain, (v5_membered(esk5_0))).
% 193.26/24.62 cnf(i_0_15, plain, (v4_membered(esk5_0))).
% 193.26/24.62 cnf(i_0_16, plain, (v3_membered(esk5_0))).
% 193.26/24.62 cnf(i_0_17, plain, (v2_membered(esk5_0))).
% 193.26/24.62 cnf(i_0_18, plain, (v1_membered(esk5_0))).
% 193.26/24.62 cnf(i_0_60, plain, (subset(X1,X1))).
% 193.26/24.62 cnf(i_0_53, plain, (empty(esk7_1(X1)))).
% 193.26/24.62 cnf(i_0_54, plain, (element(esk7_1(X1),powerset(X1)))).
% 193.26/24.62 cnf(i_0_19, plain, (~empty(esk5_0))).
% 193.26/24.62 cnf(i_0_68, plain, (~empty(powerset(X1)))).
% 193.26/24.62 cnf(i_0_55, plain, (v5_membered(X1)|~empty(X1))).
% 193.26/24.62 cnf(i_0_56, plain, (v4_membered(X1)|~empty(X1))).
% 193.26/24.62 cnf(i_0_57, plain, (v3_membered(X1)|~empty(X1))).
% 193.26/24.62 cnf(i_0_58, plain, (v2_membered(X1)|~empty(X1))).
% 193.26/24.62 cnf(i_0_63, plain, (one_sorted_str(X1)|~top_str(X1))).
% 193.26/24.62 cnf(i_0_10, plain, (v4_membered(X1)|~v5_membered(X1))).
% 193.26/24.62 cnf(i_0_11, plain, (v3_membered(X1)|~v4_membered(X1))).
% 193.26/24.62 cnf(i_0_12, plain, (v2_membered(X1)|~v3_membered(X1))).
% 193.26/24.62 cnf(i_0_13, plain, (v1_membered(X1)|~v2_membered(X1))).
% 193.26/24.62 cnf(i_0_59, plain, (v1_membered(X1)|~empty(X1))).
% 193.26/24.62 cnf(i_0_61, plain, (~in(X1,X2)|~in(X2,X1))).
% 193.26/24.62 cnf(i_0_51, plain, (empty(X1)|~empty(esk6_1(X1)))).
% 193.26/24.62 cnf(i_0_1, negated_conjecture, (subset(esk2_0,esk3_1(X1))|in(esk3_1(X1),X1))).
% 193.26/24.62 cnf(i_0_2, negated_conjecture, (closed_subset(esk4_1(X1),esk1_0)|in(esk3_1(X1),X1))).
% 193.26/24.62 cnf(i_0_3, negated_conjecture, (esk4_1(X1)=esk3_1(X1)|in(esk3_1(X1),X1))).
% 193.26/24.62 cnf(i_0_52, plain, (empty(X1)|element(esk6_1(X1),powerset(X1)))).
% 193.26/24.62 cnf(i_0_20, plain, (v1_xcmplx_0(X1)|~v1_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_34, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_29, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_25, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_66, plain, (closed_subset(esk8_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_4, negated_conjecture, (in(esk3_1(X1),X1)|element(esk4_1(X1),powerset(the_carrier(esk1_0))))).
% 193.26/24.62 cnf(i_0_5, negated_conjecture, (in(esk3_1(X1),powerset(the_carrier(esk1_0)))|in(esk3_1(X1),X1))).
% 193.26/24.62 cnf(i_0_67, plain, (element(esk8_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_22, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_32, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_28, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_24, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_21, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_30, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_26, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_23, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_31, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_27, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_33, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 193.26/24.62 cnf(i_0_45, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_46, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_41, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_47, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_42, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_38, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_48, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_43, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_39, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_36, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_35, plain, (v1_membered(X1)|~v1_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_49, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_44, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_40, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_37, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 193.26/24.62 cnf(i_0_70, plain, (subset(X1,X2)|esk11_2(X3,X1)!=esk10_2(X3,X1)|~in(X2,esk14_2(X3,X1))|~element(X1,powerset(the_carrier(X3)))|~top_str(X3)|~topological_space(X3))).
% 193.26/24.62 cnf(i_0_72, plain, (esk16_3(X1,X2,X3)=X3|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_74, plain, (esk15_3(X1,X2,X3)=X3|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_6, negated_conjecture, (~subset(esk2_0,esk3_1(X1))|~closed_subset(esk3_1(X1),esk1_0)|~in(esk3_1(X1),powerset(the_carrier(esk1_0)))|~in(esk3_1(X1),X1)|~element(esk3_1(X1),powerset(the_carrier(esk1_0))))).
% 193.26/24.62 cnf(i_0_112, plain, (subset(X1,esk10_2(X2,X1))|subset(X1,X3)|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_77, plain, (subset(X1,esk11_2(X2,X1))|subset(X1,X3)|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_119, plain, (subset(X1,X2)|closed_subset(esk12_2(X3,X1),X3)|~in(X2,esk14_2(X3,X1))|~element(X1,powerset(the_carrier(X3)))|~top_str(X3)|~topological_space(X3))).
% 193.26/24.62 cnf(i_0_140, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|subset(X2,X3)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_84, plain, (subset(X1,X2)|closed_subset(esk13_2(X3,X1),X3)|~in(X2,esk14_2(X3,X1))|~element(X1,powerset(the_carrier(X3)))|~top_str(X3)|~topological_space(X3))).
% 193.26/24.62 cnf(i_0_71, plain, (closed_subset(esk16_3(X1,X2,X3),X1)|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_105, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|subset(X2,X3)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_126, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|subset(X2,X3)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_91, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|subset(X2,X3)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_141, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|closed_subset(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_133, plain, (subset(X1,X2)|element(esk12_2(X3,X1),powerset(the_carrier(X3)))|~in(X2,esk14_2(X3,X1))|~element(X1,powerset(the_carrier(X3)))|~top_str(X3)|~topological_space(X3))).
% 193.26/24.62 cnf(i_0_98, plain, (subset(X1,X2)|element(esk13_2(X3,X1),powerset(the_carrier(X3)))|~in(X2,esk14_2(X3,X1))|~element(X1,powerset(the_carrier(X3)))|~top_str(X3)|~topological_space(X3))).
% 193.26/24.62 cnf(i_0_73, plain, (element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_75, plain, (in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_144, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_106, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|closed_subset(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_142, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_107, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_128, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_93, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_127, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|closed_subset(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_134, plain, (closed_subset(esk16_3(X1,X2,X3),X1)|element(esk12_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_99, plain, (closed_subset(esk16_3(X1,X2,X3),X1)|element(esk13_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_114, plain, (esk16_3(X1,X2,X3)=X3|subset(X2,esk10_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_79, plain, (esk16_3(X1,X2,X3)=X3|subset(X2,esk11_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_109, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_92, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|closed_subset(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_121, plain, (esk16_3(X1,X2,X3)=X3|closed_subset(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_86, plain, (esk16_3(X1,X2,X3)=X3|closed_subset(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_130, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_95, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_116, plain, (esk15_3(X1,X2,X3)=X3|subset(X2,esk10_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_138, plain, (in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk12_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_103, plain, (in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk13_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_135, plain, (esk16_3(X1,X2,X3)=X3|element(esk12_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_100, plain, (esk16_3(X1,X2,X3)=X3|element(esk13_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_81, plain, (esk15_3(X1,X2,X3)=X3|subset(X2,esk11_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_123, plain, (esk15_3(X1,X2,X3)=X3|closed_subset(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_88, plain, (esk15_3(X1,X2,X3)=X3|closed_subset(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_113, plain, (subset(X1,esk10_2(X2,X1))|closed_subset(esk16_3(X2,X1,X3),X2)|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_78, plain, (subset(X1,esk11_2(X2,X1))|closed_subset(esk16_3(X2,X1,X3),X2)|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_120, plain, (closed_subset(esk16_3(X1,X2,X3),X1)|closed_subset(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_143, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_145, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_108, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_110, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_129, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_137, plain, (esk15_3(X1,X2,X3)=X3|element(esk12_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_131, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_85, plain, (closed_subset(esk16_3(X1,X2,X3),X1)|closed_subset(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_94, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_96, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_102, plain, (esk15_3(X1,X2,X3)=X3|element(esk13_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_115, plain, (subset(X1,esk10_2(X2,X1))|element(esk16_3(X2,X1,X3),powerset(the_carrier(X2)))|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_117, plain, (subset(X1,esk10_2(X2,X1))|in(esk15_3(X2,X1,X3),powerset(the_carrier(X2)))|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_80, plain, (subset(X1,esk11_2(X2,X1))|element(esk16_3(X2,X1,X3),powerset(the_carrier(X2)))|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_82, plain, (subset(X1,esk11_2(X2,X1))|in(esk15_3(X2,X1,X3),powerset(the_carrier(X2)))|~in(X3,esk14_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_122, plain, (closed_subset(esk12_2(X1,X2),X1)|element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_124, plain, (closed_subset(esk12_2(X1,X2),X1)|in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_87, plain, (closed_subset(esk13_2(X1,X2),X1)|element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_89, plain, (closed_subset(esk13_2(X1,X2),X1)|in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_139, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|in(X3,esk14_2(X1,X2))|~subset(X2,X3)|~closed_subset(X3,X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_136, plain, (element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk12_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_69, plain, (in(X1,esk14_2(X2,X3))|esk11_2(X2,X3)!=esk10_2(X2,X3)|~subset(X3,X1)|~closed_subset(X1,X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_101, plain, (element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk13_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk14_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_111, plain, (subset(X1,esk10_2(X2,X1))|in(X3,esk14_2(X2,X1))|~subset(X1,X3)|~closed_subset(X3,X2)|~in(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_104, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|in(X3,esk14_2(X1,X2))|~subset(X2,X3)|~closed_subset(X3,X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_125, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|in(X3,esk14_2(X1,X2))|~subset(X2,X3)|~closed_subset(X3,X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_90, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|in(X3,esk14_2(X1,X2))|~subset(X2,X3)|~closed_subset(X3,X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_76, plain, (subset(X1,esk11_2(X2,X1))|in(X3,esk14_2(X2,X1))|~subset(X1,X3)|~closed_subset(X3,X2)|~in(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_118, plain, (closed_subset(esk12_2(X1,X2),X1)|in(X3,esk14_2(X1,X2))|~subset(X2,X3)|~closed_subset(X3,X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_83, plain, (closed_subset(esk13_2(X1,X2),X1)|in(X3,esk14_2(X1,X2))|~subset(X2,X3)|~closed_subset(X3,X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 193.26/24.62 cnf(i_0_132, plain, (in(X1,esk14_2(X2,X3))|element(esk12_2(X2,X3),powerset(the_carrier(X2)))|~subset(X3,X1)|~closed_subset(X1,X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_97, plain, (in(X1,esk14_2(X2,X3))|element(esk13_2(X2,X3),powerset(the_carrier(X2)))|~subset(X3,X1)|~closed_subset(X1,X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2))).
% 193.26/24.62 cnf(i_0_819, plain, (X66=X66)).
% 193.26/24.62 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 193.26/24.62 # Begin printing tableau
% 193.26/24.62 # Found 8 steps
% 193.26/24.62 cnf(i_0_819, plain, (esk1_0=esk1_0), inference(start_rule)).
% 193.26/24.62 cnf(i_0_1488, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_823])).
% 193.26/24.62 cnf(i_0_2130, plain, (~topological_space(esk1_0)), inference(closure_rule, [i_0_9])).
% 193.26/24.62 cnf(i_0_2128, plain, (topological_space(esk1_0)), inference(extension_rule, [i_0_67])).
% 193.26/24.62 cnf(i_0_43448, plain, (~top_str(esk1_0)), inference(closure_rule, [i_0_8])).
% 193.26/24.62 cnf(i_0_43447, plain, (element(esk8_1(esk1_0),powerset(the_carrier(esk1_0)))), inference(extension_rule, [i_0_20])).
% 193.26/24.62 cnf(i_0_81338, plain, (v1_xcmplx_0(esk8_1(esk1_0))), inference(etableau_closure_rule, [i_0_81338, ...])).
% 193.26/24.62 cnf(i_0_81339, plain, (~v1_membered(powerset(the_carrier(esk1_0)))), inference(etableau_closure_rule, [i_0_81339, ...])).
% 193.26/24.62 # End printing tableau
% 193.26/24.62 # SZS output end
% 193.26/24.62 # Branches closed with saturation will be marked with an "s"
% 193.26/24.63 # Child (29355) has found a proof.
% 193.26/24.63
% 193.26/24.63 # Proof search is over...
% 193.26/24.63 # Freeing feature tree
%------------------------------------------------------------------------------