TSTP Solution File: SEU329+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU329+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 : n013.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 09:25:55 EDT 2022

% Result   : Theorem 13.85s 2.11s
% Output   : CNFRefutation 13.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU329+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 : n013.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 : Mon Jun 20 08:44:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.40  # No SInE strategy applied
% 0.21/0.40  # Auto-Mode selected heuristic G_E___208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.21/0.40  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.21/0.40  #
% 0.21/0.40  # Presaturation interreduction done
% 0.21/0.40  # Number of axioms: 138 Number of unprocessed: 138
% 0.21/0.40  # Tableaux proof search.
% 0.21/0.40  # APR header successfully linked.
% 0.21/0.40  # Hello from C++
% 0.21/0.40  # The folding up rule is enabled...
% 0.21/0.40  # Local unification is enabled...
% 0.21/0.40  # Any saturation attempts will use folding labels...
% 0.21/0.40  # 138 beginning clauses after preprocessing and clausification
% 0.21/0.40  # Creating start rules for all 9 conjectures.
% 0.21/0.40  # There are 9 start rule candidates:
% 0.21/0.40  # Found 11 unit axioms.
% 0.21/0.40  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.21/0.40  # 9 start rule tableaux created.
% 0.21/0.40  # 127 extension rule candidate clauses
% 0.21/0.40  # 11 unit axiom clauses
% 0.21/0.40  
% 0.21/0.40  # Requested 8, 32 cores available to the main process.
% 4.86/1.00  # Creating equality axioms
% 4.86/1.00  # Ran out of tableaux, making start rules for all clauses
% 4.86/1.00  # Creating equality axioms
% 4.86/1.00  # Ran out of tableaux, making start rules for all clauses
% 4.86/1.02  # Creating equality axioms
% 4.86/1.02  # Ran out of tableaux, making start rules for all clauses
% 4.86/1.05  # Creating equality axioms
% 4.86/1.05  # Ran out of tableaux, making start rules for all clauses
% 5.92/1.16  # Creating equality axioms
% 5.92/1.16  # Ran out of tableaux, making start rules for all clauses
% 6.66/1.26  # Creating equality axioms
% 6.66/1.26  # Ran out of tableaux, making start rules for all clauses
% 13.85/2.11  # There were 2 total branch saturation attempts.
% 13.85/2.11  # There were 0 of these attempts blocked.
% 13.85/2.11  # There were 0 deferred branch saturation attempts.
% 13.85/2.11  # There were 0 free duplicated saturations.
% 13.85/2.11  # There were 2 total successful branch saturations.
% 13.85/2.11  # There were 0 successful branch saturations in interreduction.
% 13.85/2.11  # There were 0 successful branch saturations on the branch.
% 13.85/2.11  # There were 2 successful branch saturations after the branch.
% 13.85/2.11  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.85/2.11  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.85/2.11  # Begin clausification derivation
% 13.85/2.11  
% 13.85/2.11  # End clausification derivation
% 13.85/2.11  # Begin listing active clauses obtained from FOF to CNF conversion
% 13.85/2.11  cnf(i_0_9, negated_conjecture, (one_sorted_str(esk1_0))).
% 13.85/2.11  cnf(i_0_8, negated_conjecture, (element(esk2_0,powerset(powerset(the_carrier(esk1_0)))))).
% 13.85/2.11  cnf(i_0_14, plain, (v5_membered(esk8_0))).
% 13.85/2.11  cnf(i_0_15, plain, (v4_membered(esk8_0))).
% 13.85/2.11  cnf(i_0_16, plain, (v3_membered(esk8_0))).
% 13.85/2.11  cnf(i_0_17, plain, (v2_membered(esk8_0))).
% 13.85/2.11  cnf(i_0_18, plain, (v1_membered(esk8_0))).
% 13.85/2.11  cnf(i_0_58, plain, (empty(esk10_1(X1)))).
% 13.85/2.11  cnf(i_0_59, plain, (element(esk10_1(X1),powerset(X1)))).
% 13.85/2.11  cnf(i_0_19, plain, (~empty(esk8_0))).
% 13.85/2.11  cnf(i_0_72, plain, (~empty(powerset(X1)))).
% 13.85/2.11  cnf(i_0_50, plain, (v5_membered(X1)|~empty(X1))).
% 13.85/2.11  cnf(i_0_51, plain, (v4_membered(X1)|~empty(X1))).
% 13.85/2.11  cnf(i_0_62, plain, (~in(X1,X2)|~in(X2,X1))).
% 13.85/2.11  cnf(i_0_10, plain, (v4_membered(X1)|~v5_membered(X1))).
% 13.85/2.11  cnf(i_0_11, plain, (v3_membered(X1)|~v4_membered(X1))).
% 13.85/2.11  cnf(i_0_52, plain, (v3_membered(X1)|~empty(X1))).
% 13.85/2.11  cnf(i_0_12, plain, (v2_membered(X1)|~v3_membered(X1))).
% 13.85/2.11  cnf(i_0_53, plain, (v2_membered(X1)|~empty(X1))).
% 13.85/2.11  cnf(i_0_13, plain, (v1_membered(X1)|~v2_membered(X1))).
% 13.85/2.11  cnf(i_0_54, plain, (v1_membered(X1)|~empty(X1))).
% 13.85/2.11  cnf(i_0_55, plain, (empty(X1)|~empty(esk9_1(X1)))).
% 13.85/2.11  cnf(i_0_20, plain, (v1_xcmplx_0(X1)|~v1_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_2, negated_conjecture, (in(esk6_1(X1),complements_of_subsets(the_carrier(esk1_0),esk2_0))|in(esk4_1(X1),X1))).
% 13.85/2.11  cnf(i_0_4, negated_conjecture, (in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))|in(esk4_1(X1),X1))).
% 13.85/2.11  cnf(i_0_71, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 13.85/2.11  cnf(i_0_65, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 13.85/2.11  cnf(i_0_56, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))).
% 13.85/2.11  cnf(i_0_3, negated_conjecture, (ordered_pair(esk6_1(X1),esk7_1(X1))=esk4_1(X1)|in(esk4_1(X1),X1))).
% 13.85/2.11  cnf(i_0_34, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_29, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_25, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_22, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_60, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 13.85/2.11  cnf(i_0_67, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 13.85/2.11  cnf(i_0_57, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 13.85/2.11  cnf(i_0_32, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_28, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_24, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_61, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 13.85/2.11  cnf(i_0_21, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_30, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_26, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_23, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_31, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_27, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_33, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 13.85/2.11  cnf(i_0_45, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_46, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_41, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_47, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_42, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_38, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_48, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_43, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_39, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_36, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_35, plain, (v1_membered(X1)|~v1_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_49, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_44, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_40, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_37, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 13.85/2.11  cnf(i_0_79, plain, (esk19_4(X1,X2,X3,X4)=X4|esk13_2(X1,X2)!=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_5, negated_conjecture, (subset_complement(the_carrier(esk1_0),esk5_3(X1,X2,X3))!=X3|ordered_pair(X2,X3)!=esk4_1(X1)|~in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))|~in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))|~in(esk4_1(X1),X1))).
% 13.85/2.11  cnf(i_0_1, negated_conjecture, (esk7_1(X1)=subset_complement(the_carrier(esk1_0),esk6_1(X1))|in(esk4_1(X1),X1)|~element(esk6_1(X1),powerset(the_carrier(esk1_0))))).
% 13.85/2.11  cnf(i_0_6, negated_conjecture, (esk5_3(X1,X2,X3)=X2|ordered_pair(X2,X3)!=esk4_1(X1)|~in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))|~in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))|~in(esk4_1(X1),X1))).
% 13.85/2.11  cnf(i_0_7, negated_conjecture, (element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))|ordered_pair(X2,X3)!=esk4_1(X1)|~in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))|~in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))|~in(esk4_1(X1),X1))).
% 13.85/2.11  cnf(i_0_127, plain, (esk19_4(X1,X2,X3,X4)=X4|in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_95, plain, (esk19_4(X1,X2,X3,X4)=X4|in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_143, plain, (esk11_2(X1,X2)=esk12_2(X1,X2)|esk19_4(X1,X2,X3,X4)=X4|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_111, plain, (esk11_2(X1,X2)=esk13_2(X1,X2)|esk19_4(X1,X2,X3,X4)=X4|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_80, plain, (in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk13_2(X1,X2)!=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_77, plain, (in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk13_2(X1,X2)!=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_78, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|esk13_2(X1,X2)!=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_135, plain, (ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|esk19_4(X1,X2,X3,X4)=X4|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_103, plain, (ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|esk19_4(X1,X2,X3,X4)=X4|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_141, plain, (esk11_2(X1,X2)=esk12_2(X1,X2)|in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_128, plain, (in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_96, plain, (in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_109, plain, (esk11_2(X1,X2)=esk13_2(X1,X2)|in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_125, plain, (in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_144, plain, (esk11_2(X1,X2)=esk12_2(X1,X2)|in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_119, plain, (esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|esk19_4(X1,X2,X3,X4)=X4|~in(X4,esk18_3(X1,X2,X3))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_76, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|esk13_2(X1,X2)!=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_142, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|esk11_2(X1,X2)=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_112, plain, (esk11_2(X1,X2)=esk13_2(X1,X2)|in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_93, plain, (in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_126, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_94, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_87, plain, (esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|esk19_4(X1,X2,X3,X4)=X4|~in(X4,esk18_3(X1,X2,X3))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_110, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|esk11_2(X1,X2)=esk13_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_73, plain, (in(ordered_pair(X1,X2),esk18_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk22_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2))!=X2|esk13_2(X3,X4)!=esk12_2(X3,X4)|~in(ordered_pair(X1,X2),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~in(X1,complements_of_subsets(the_carrier(X3),X4))|~element(X4,powerset(powerset(the_carrier(X3))))|~one_sorted_str(X3))).
% 13.85/2.11  cnf(i_0_133, plain, (ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_101, plain, (ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_136, plain, (ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_124, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_92, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_104, plain, (ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_117, plain, (esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_140, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|esk11_2(X1,X2)=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_134, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_85, plain, (esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_108, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|esk11_2(X1,X2)=esk13_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_120, plain, (esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk18_3(X1,X2,X3))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_102, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_74, plain, (esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|esk13_2(X1,X2)!=esk12_2(X1,X2)|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_137, plain, (esk11_2(X1,X2)=esk12_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_88, plain, (esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk18_3(X1,X2,X3))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_105, plain, (esk11_2(X1,X2)=esk13_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_121, plain, (in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_118, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_86, plain, (ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4))=X4|esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_89, plain, (in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_138, plain, (esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|esk11_2(X1,X2)=esk12_2(X1,X2)|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_106, plain, (esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|esk11_2(X1,X2)=esk13_2(X1,X2)|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_132, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_100, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_75, plain, (in(ordered_pair(X1,X2),esk18_3(X3,X4,X5))|element(esk22_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2),powerset(the_carrier(X3)))|esk13_2(X3,X4)!=esk12_2(X3,X4)|~in(ordered_pair(X1,X2),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~in(X1,complements_of_subsets(the_carrier(X3),X4))|~element(X4,powerset(powerset(the_carrier(X3))))|~one_sorted_str(X3))).
% 13.85/2.11  cnf(i_0_122, plain, (esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_116, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_84, plain, (esk21_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))|esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|~in(X4,esk18_3(X1,X2,X3))|~element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_129, plain, (ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_97, plain, (ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_90, plain, (esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_139, plain, (esk11_2(X1,X2)=esk12_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_107, plain, (esk11_2(X1,X2)=esk13_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_130, plain, (ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_98, plain, (ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_113, plain, (esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_123, plain, (in(esk14_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_91, plain, (in(esk16_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_81, plain, (esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4))!=X4|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_114, plain, (esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_82, plain, (esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5)=X4|in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))|~in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_131, plain, (ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2))=esk12_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_99, plain, (ordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))=esk13_2(X1,X2)|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_115, plain, (esk15_2(X1,X2)=subset_complement(the_carrier(X1),esk14_2(X1,X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk14_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  cnf(i_0_83, plain, (esk17_2(X1,X2)=subset_complement(the_carrier(X1),esk16_2(X1,X2))|in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))|element(esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))|~in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk16_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 13.85/2.11  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 13.85/2.11  # Begin printing tableau
% 13.85/2.11  # Found 5 steps
% 13.85/2.11  cnf(i_0_8, negated_conjecture, (element(esk2_0,powerset(powerset(the_carrier(esk1_0))))), inference(start_rule)).
% 13.85/2.11  cnf(i_0_249, plain, (element(esk2_0,powerset(powerset(the_carrier(esk1_0))))), inference(extension_rule, [i_0_65])).
% 13.85/2.11  cnf(i_0_890, plain, (element(subset_complement(powerset(the_carrier(esk1_0)),esk2_0),powerset(powerset(the_carrier(esk1_0))))), inference(extension_rule, [i_0_34])).
% 13.85/2.11  cnf(i_0_918, plain, (v1_xcmplx_0(subset_complement(powerset(the_carrier(esk1_0)),esk2_0))), inference(etableau_closure_rule, [i_0_918, ...])).
% 13.85/2.11  cnf(i_0_919, plain, (~v5_membered(powerset(powerset(the_carrier(esk1_0))))), inference(etableau_closure_rule, [i_0_919, ...])).
% 13.85/2.11  # End printing tableau
% 13.85/2.11  # SZS output end
% 13.85/2.11  # Branches closed with saturation will be marked with an "s"
% 13.85/2.12  # Child (3249) has found a proof.
% 13.85/2.12  
% 13.85/2.12  # Proof search is over...
% 13.85/2.12  # Freeing feature tree
%------------------------------------------------------------------------------