TSTP Solution File: SEU395+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU395+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 : n018.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 09:26:27 EDT 2022
% Result : Theorem 5.05s 1.06s
% Output : CNFRefutation 5.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 05:06:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40 # No SInE strategy applied
% 0.18/0.40 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.18/0.40 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.18/0.40 #
% 0.18/0.40 # Presaturation interreduction done
% 0.18/0.40 # Number of axioms: 408 Number of unprocessed: 339
% 0.18/0.40 # Tableaux proof search.
% 0.18/0.40 # APR header successfully linked.
% 0.18/0.40 # Hello from C++
% 0.18/0.40 # The folding up rule is enabled...
% 0.18/0.40 # Local unification is enabled...
% 0.18/0.40 # Any saturation attempts will use folding labels...
% 0.18/0.40 # 339 beginning clauses after preprocessing and clausification
% 0.18/0.40 # Creating start rules for all 11 conjectures.
% 0.18/0.40 # There are 11 start rule candidates:
% 0.18/0.40 # Found 134 unit axioms.
% 0.18/0.40 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.40 # 11 start rule tableaux created.
% 0.18/0.40 # 205 extension rule candidate clauses
% 0.18/0.40 # 134 unit axiom clauses
% 0.18/0.40
% 0.18/0.40 # Requested 8, 32 cores available to the main process.
% 5.05/1.06 # There were 1 total branch saturation attempts.
% 5.05/1.06 # There were 0 of these attempts blocked.
% 5.05/1.06 # There were 0 deferred branch saturation attempts.
% 5.05/1.06 # There were 0 free duplicated saturations.
% 5.05/1.06 # There were 1 total successful branch saturations.
% 5.05/1.06 # There were 0 successful branch saturations in interreduction.
% 5.05/1.06 # There were 0 successful branch saturations on the branch.
% 5.05/1.06 # There were 1 successful branch saturations after the branch.
% 5.05/1.06 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.05/1.06 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.05/1.06 # Begin clausification derivation
% 5.05/1.06
% 5.05/1.06 # End clausification derivation
% 5.05/1.06 # Begin listing active clauses obtained from FOF to CNF conversion
% 5.05/1.06 cnf(i_0_431, negated_conjecture, (topological_space(esk46_0))).
% 5.05/1.06 cnf(i_0_430, negated_conjecture, (top_str(esk46_0))).
% 5.05/1.06 cnf(i_0_424, negated_conjecture, (element(esk48_0,the_carrier(esk46_0)))).
% 5.05/1.06 cnf(i_0_101, plain, (rel_str(esk1_0))).
% 5.05/1.06 cnf(i_0_110, plain, (empty(empty_set))).
% 5.05/1.06 cnf(i_0_428, negated_conjecture, (filtered_subset(esk47_0,boole_POSet(cast_as_carrier_subset(esk46_0))))).
% 5.05/1.06 cnf(i_0_427, negated_conjecture, (upper_relstr_subset(esk47_0,boole_POSet(cast_as_carrier_subset(esk46_0))))).
% 5.05/1.06 cnf(i_0_425, negated_conjecture, (element(esk47_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk46_0))))))).
% 5.05/1.06 cnf(i_0_426, negated_conjecture, (proper_element(esk47_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk46_0))))))).
% 5.05/1.06 cnf(i_0_248, plain, (rel_str(esk11_0))).
% 5.05/1.06 cnf(i_0_273, plain, (empty(esk15_0))).
% 5.05/1.06 cnf(i_0_102, plain, (top_str(esk2_0))).
% 5.05/1.06 cnf(i_0_262, plain, (rel_str(esk12_0))).
% 5.05/1.06 cnf(i_0_271, plain, (rel_str(esk14_0))).
% 5.05/1.06 cnf(i_0_297, plain, (rel_str(esk19_0))).
% 5.05/1.06 cnf(i_0_307, plain, (rel_str(esk20_0))).
% 5.05/1.06 cnf(i_0_316, plain, (rel_str(esk21_0))).
% 5.05/1.06 cnf(i_0_342, plain, (rel_str(esk27_0))).
% 5.05/1.06 cnf(i_0_379, plain, (rel_str(esk37_0))).
% 5.05/1.06 cnf(i_0_260, plain, (strict_rel_str(esk12_0))).
% 5.05/1.06 cnf(i_0_269, plain, (strict_rel_str(esk14_0))).
% 5.05/1.06 cnf(i_0_294, plain, (strict_rel_str(esk19_0))).
% 5.05/1.06 cnf(i_0_305, plain, (strict_rel_str(esk20_0))).
% 5.05/1.06 cnf(i_0_314, plain, (strict_rel_str(esk21_0))).
% 5.05/1.06 cnf(i_0_377, plain, (strict_rel_str(esk37_0))).
% 5.05/1.06 cnf(i_0_103, plain, (one_sorted_str(esk3_0))).
% 5.05/1.06 cnf(i_0_349, plain, (one_sorted_str(esk30_0))).
% 5.05/1.06 cnf(i_0_246, plain, (reflexive_relstr(esk11_0))).
% 5.05/1.06 cnf(i_0_259, plain, (reflexive_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_268, plain, (reflexive_relstr(esk14_0))).
% 5.05/1.06 cnf(i_0_293, plain, (reflexive_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_304, plain, (reflexive_relstr(esk20_0))).
% 5.05/1.06 cnf(i_0_313, plain, (reflexive_relstr(esk21_0))).
% 5.05/1.06 cnf(i_0_340, plain, (reflexive_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_254, plain, (complete_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_265, plain, (complete_relstr(esk14_0))).
% 5.05/1.06 cnf(i_0_299, plain, (complete_relstr(esk20_0))).
% 5.05/1.06 cnf(i_0_308, plain, (complete_relstr(esk21_0))).
% 5.05/1.06 cnf(i_0_335, plain, (complete_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_250, plain, (up_complete_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_249, plain, (join_complete_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_253, plain, (lower_bounded_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_290, plain, (lower_bounded_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_334, plain, (lower_bounded_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_245, plain, (transitive_relstr(esk11_0))).
% 5.05/1.06 cnf(i_0_258, plain, (transitive_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_267, plain, (transitive_relstr(esk14_0))).
% 5.05/1.06 cnf(i_0_292, plain, (transitive_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_303, plain, (transitive_relstr(esk20_0))).
% 5.05/1.06 cnf(i_0_312, plain, (transitive_relstr(esk21_0))).
% 5.05/1.06 cnf(i_0_339, plain, (transitive_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_376, plain, (transitive_relstr(esk37_0))).
% 5.05/1.06 cnf(i_0_244, plain, (antisymmetric_relstr(esk11_0))).
% 5.05/1.06 cnf(i_0_257, plain, (antisymmetric_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_266, plain, (antisymmetric_relstr(esk14_0))).
% 5.05/1.06 cnf(i_0_291, plain, (antisymmetric_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_302, plain, (antisymmetric_relstr(esk20_0))).
% 5.05/1.06 cnf(i_0_311, plain, (antisymmetric_relstr(esk21_0))).
% 5.05/1.06 cnf(i_0_338, plain, (antisymmetric_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_256, plain, (with_suprema_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_282, plain, (with_suprema_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_301, plain, (with_suprema_relstr(esk20_0))).
% 5.05/1.06 cnf(i_0_310, plain, (with_suprema_relstr(esk21_0))).
% 5.05/1.06 cnf(i_0_337, plain, (with_suprema_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_255, plain, (with_infima_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_281, plain, (with_infima_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_300, plain, (with_infima_relstr(esk20_0))).
% 5.05/1.06 cnf(i_0_309, plain, (with_infima_relstr(esk21_0))).
% 5.05/1.06 cnf(i_0_336, plain, (with_infima_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_252, plain, (upper_bounded_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_289, plain, (upper_bounded_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_333, plain, (upper_bounded_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_251, plain, (bounded_relstr(esk12_0))).
% 5.05/1.06 cnf(i_0_288, plain, (bounded_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_332, plain, (bounded_relstr(esk27_0))).
% 5.05/1.06 cnf(i_0_263, plain, (finite(esk13_0))).
% 5.05/1.06 cnf(i_0_109, plain, (relation(empty_set))).
% 5.05/1.06 cnf(i_0_272, plain, (relation(esk15_0))).
% 5.05/1.06 cnf(i_0_317, plain, (relation(esk22_0))).
% 5.05/1.06 cnf(i_0_347, plain, (relation(esk29_0))).
% 5.05/1.06 cnf(i_0_298, plain, (trivial_carrier(esk20_0))).
% 5.05/1.06 cnf(i_0_243, plain, (connected_relstr(esk11_0))).
% 5.05/1.06 cnf(i_0_375, plain, (directed_relstr(esk37_0))).
% 5.05/1.06 cnf(i_0_108, plain, (relation_empty_yielding(empty_set))).
% 5.05/1.06 cnf(i_0_346, plain, (relation_empty_yielding(esk29_0))).
% 5.05/1.06 cnf(i_0_286, plain, (distributive_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_285, plain, (heyting_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_284, plain, (complemented_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_283, plain, (boolean_relstr(esk19_0))).
% 5.05/1.06 cnf(i_0_87, plain, (rel_str(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_88, plain, (strict_rel_str(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_136, plain, (reflexive_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_121, plain, (complete_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_418, plain, (subset(X1,X1))).
% 5.05/1.06 cnf(i_0_130, plain, (up_complete_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_129, plain, (join_complete_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_133, plain, (lower_bounded_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_135, plain, (transitive_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_134, plain, (antisymmetric_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_123, plain, (with_suprema_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_122, plain, (with_infima_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_132, plain, (upper_bounded_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_131, plain, (bounded_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_319, plain, (empty(esk23_1(X1)))).
% 5.05/1.06 cnf(i_0_213, plain, (directed_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_127, plain, (distributive_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_329, plain, (finite(esk26_1(X1)))).
% 5.05/1.06 cnf(i_0_126, plain, (heyting_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_125, plain, (complemented_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_124, plain, (boolean_relstr(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_106, plain, (element(esk6_1(X1),X1))).
% 5.05/1.06 cnf(i_0_320, plain, (element(esk23_1(X1),powerset(X1)))).
% 5.05/1.06 cnf(i_0_331, plain, (element(esk26_1(X1),powerset(powerset(X1))))).
% 5.05/1.06 cnf(i_0_105, plain, (relation_of2(esk5_2(X1,X2),X1,X2))).
% 5.05/1.06 cnf(i_0_107, plain, (relation_of2_as_subset(esk7_2(X1,X2),X1,X2))).
% 5.05/1.06 cnf(i_0_432, negated_conjecture, (~empty_carrier(esk46_0))).
% 5.05/1.06 cnf(i_0_429, negated_conjecture, (~empty(esk47_0))).
% 5.05/1.06 cnf(i_0_247, plain, (~empty_carrier(esk11_0))).
% 5.05/1.06 cnf(i_0_261, plain, (~empty_carrier(esk12_0))).
% 5.05/1.06 cnf(i_0_270, plain, (~empty_carrier(esk14_0))).
% 5.05/1.06 cnf(i_0_296, plain, (~empty_carrier(esk19_0))).
% 5.05/1.06 cnf(i_0_306, plain, (~empty_carrier(esk20_0))).
% 5.05/1.06 cnf(i_0_315, plain, (~empty_carrier(esk21_0))).
% 5.05/1.06 cnf(i_0_341, plain, (~empty_carrier(esk27_0))).
% 5.05/1.06 cnf(i_0_348, plain, (~empty_carrier(esk30_0))).
% 5.05/1.06 cnf(i_0_378, plain, (~empty_carrier(esk37_0))).
% 5.05/1.06 cnf(i_0_264, plain, (~empty(esk13_0))).
% 5.05/1.06 cnf(i_0_318, plain, (~empty(esk22_0))).
% 5.05/1.06 cnf(i_0_138, plain, (~empty_carrier(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_295, plain, (~trivial_carrier(esk19_0))).
% 5.05/1.06 cnf(i_0_287, plain, (~v1_yellow_3(esk19_0))).
% 5.05/1.06 cnf(i_0_120, plain, (~empty(powerset(X1)))).
% 5.05/1.06 cnf(i_0_330, plain, (~empty(esk26_1(X1)))).
% 5.05/1.06 cnf(i_0_128, plain, (~v1_yellow_3(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_423, negated_conjecture, (~is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)|~in(esk48_0,lim_points_of_net(esk46_0,net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))))).
% 5.05/1.06 cnf(i_0_422, negated_conjecture, (is_a_convergence_point_of_set(esk46_0,esk47_0,esk48_0)|in(esk48_0,lim_points_of_net(esk46_0,net_of_bool_filter(esk46_0,cast_as_carrier_subset(esk46_0),esk47_0))))).
% 5.05/1.06 cnf(i_0_442, plain, (~empty(X1)|~in(X2,X1))).
% 5.05/1.06 cnf(i_0_398, plain, (~empty_carrier(esk40_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_355, plain, (~empty(esk32_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_90, plain, (one_sorted_str(X1)|~top_str(X1))).
% 5.05/1.06 cnf(i_0_31, plain, (~with_suprema_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_40, plain, (~with_infima_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_441, plain, (X1=empty_set|~empty(X1))).
% 5.05/1.06 cnf(i_0_89, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_30, plain, (finite(X1)|~empty(X1))).
% 5.05/1.06 cnf(i_0_32, plain, (relation(X1)|~empty(X1))).
% 5.05/1.06 cnf(i_0_174, plain, (~empty(cast_as_carrier_subset(X1))|~with_infima_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_3, plain, (~in(X1,X2)|~in(X2,X1))).
% 5.05/1.06 cnf(i_0_274, plain, (empty(X1)|~empty(esk16_1(X1)))).
% 5.05/1.06 cnf(i_0_344, plain, (empty(X1)|~empty(esk28_1(X1)))).
% 5.05/1.06 cnf(i_0_358, plain, (empty(X1)|~empty(esk33_1(X1)))).
% 5.05/1.06 cnf(i_0_159, plain, (empty(X1)|~trivial_carrier(boole_POSet(X1)))).
% 5.05/1.06 cnf(i_0_141, plain, (~empty(cast_as_carrier_subset(X1))|~with_suprema_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_52, plain, (lower_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_51, plain, (upper_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_433, plain, (element(X1,X2)|~in(X1,X2))).
% 5.05/1.06 cnf(i_0_92, plain, (rel_str(X1)|~net_str(X1,X2)|~one_sorted_str(X2))).
% 5.05/1.06 cnf(i_0_114, plain, (empty_carrier(X1)|~empty(cast_as_carrier_subset(X1))|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_119, plain, (empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_139, plain, (empty_carrier(X1)|~empty(cast_as_carrier_subset(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_410, plain, (empty_carrier(X1)|~empty(esk44_1(X1))|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_380, plain, (empty_carrier(X1)|~empty(esk38_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_397, plain, (reflexive_relstr(esk40_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_366, plain, (empty(esk34_1(X1))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_396, plain, (transitive_relstr(esk40_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_395, plain, (antisymmetric_relstr(esk40_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_354, plain, (finite(esk32_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_365, plain, (v1_membered(esk34_1(X1))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_343, plain, (finite(esk28_1(X1))|empty(X1))).
% 5.05/1.06 cnf(i_0_364, plain, (v2_membered(esk34_1(X1))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_363, plain, (v3_membered(esk34_1(X1))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_362, plain, (v4_membered(esk34_1(X1))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_361, plain, (v5_membered(esk34_1(X1))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_391, plain, (empty(esk39_1(X1))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_352, plain, (empty_carrier(X1)|~top_str(X1)|~topological_space(X1)|~empty(esk31_1(X1)))).
% 5.05/1.06 cnf(i_0_403, plain, (empty_carrier(X1)|~top_str(X1)|~topological_space(X1)|~empty(esk42_1(X1)))).
% 5.05/1.06 cnf(i_0_357, plain, (finite(esk33_1(X1))|empty(X1))).
% 5.05/1.06 cnf(i_0_393, plain, (directed_relstr(esk40_1(X1))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_58, plain, (bounded_relstr(X1)|~upper_bounded_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_437, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 5.05/1.06 cnf(i_0_440, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 5.05/1.06 cnf(i_0_81, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_443, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 5.05/1.06 cnf(i_0_37, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_222, plain, (dense(cast_as_carrier_subset(X1),X1)|~top_str(X1))).
% 5.05/1.06 cnf(i_0_438, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 5.05/1.06 cnf(i_0_417, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 5.05/1.06 cnf(i_0_327, plain, (empty_carrier(X1)|~empty(esk25_1(X1))|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_69, plain, (upper_bounded_relstr(X1)|~with_suprema_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_278, plain, (filtered_subset(esk18_1(X1),X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_172, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 5.05/1.06 cnf(i_0_367, plain, (element(esk34_1(X1),powerset(the_carrier(X1)))|~top_str(X1))).
% 5.05/1.06 cnf(i_0_434, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 5.05/1.06 cnf(i_0_275, plain, (element(esk16_1(X1),powerset(X1))|empty(X1))).
% 5.05/1.06 cnf(i_0_36, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_405, plain, (upper_relstr_subset(esk43_1(X1),X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_33, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 5.05/1.06 cnf(i_0_388, plain, (v1_membered(esk39_1(X1))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_387, plain, (v2_membered(esk39_1(X1))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_386, plain, (v3_membered(esk39_1(X1))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_360, plain, (boundary_set(esk34_1(X1),X1)|~top_str(X1))).
% 5.05/1.06 cnf(i_0_345, plain, (element(esk28_1(X1),powerset(X1))|empty(X1))).
% 5.05/1.06 cnf(i_0_359, plain, (element(esk33_1(X1),powerset(X1))|empty(X1))).
% 5.05/1.06 cnf(i_0_385, plain, (v4_membered(esk39_1(X1))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_384, plain, (v5_membered(esk39_1(X1))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_48, plain, (bounded_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_104, plain, (net_str(esk4_1(X1),X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_369, plain, (net_str(esk35_1(X1),X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_399, plain, (net_str(esk40_1(X1),X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_368, plain, (strict_net_str(esk35_1(X1),X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_394, plain, (strict_net_str(esk40_1(X1),X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_406, plain, (lower_relstr_subset(esk43_1(X1),X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_173, plain, (filtered_subset(cast_as_carrier_subset(X1),X1)|~with_infima_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_195, plain, (open_subset(cast_as_carrier_subset(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_179, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_279, plain, (directed_subset(esk18_1(X1),X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_416, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 5.05/1.06 cnf(i_0_235, plain, (empty_carrier(X1)|~empty(esk9_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_414, plain, (empty_carrier(X1)|~empty(esk45_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_39, plain, (finite(X1)|~element(X1,powerset(X2))|~finite(X2))).
% 5.05/1.06 cnf(i_0_280, plain, (element(esk18_1(X1),powerset(the_carrier(X1)))|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_407, plain, (element(esk43_1(X1),powerset(the_carrier(X1)))|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_112, plain, (upper_relstr_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_356, plain, (element(esk32_1(X1),powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_326, plain, (finite(esk25_1(X1))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_408, plain, (upper_relstr_subset(esk44_1(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_42, plain, (complete_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_5, plain, (up_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_4, plain, (join_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_8, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_276, plain, (open_subset(esk17_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_277, plain, (element(esk17_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_323, plain, (element(esk24_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_392, plain, (element(esk39_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_401, plain, (element(esk41_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_44, plain, (transitive_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_322, plain, (open_subset(esk24_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_43, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_55, plain, (connected_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_390, plain, (open_subset(esk39_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_321, plain, (closed_subset(esk24_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_389, plain, (closed_subset(esk39_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_140, plain, (directed_subset(cast_as_carrier_subset(X1),X1)|~with_suprema_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_381, plain, (element(esk38_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_411, plain, (element(esk44_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_400, plain, (closed_subset(esk41_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_113, plain, (lower_relstr_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_383, plain, (boundary_set(esk39_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_382, plain, (nowhere_dense(esk39_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_111, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 5.05/1.06 cnf(i_0_241, plain, (~empty(esk10_1(X1))|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_100, plain, (function(the_mapping(X1,X2))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_409, plain, (lower_relstr_subset(esk44_1(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_439, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 5.05/1.06 cnf(i_0_41, plain, (boundary_set(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~empty(X1))).
% 5.05/1.06 cnf(i_0_353, plain, (element(esk31_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_404, plain, (element(esk42_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_21, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~antisymmetric_relstr(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_96, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_74, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 5.05/1.06 cnf(i_0_75, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 5.05/1.06 cnf(i_0_436, plain, (X1=X2|~in(esk49_2(X1,X2),X2)|~in(esk49_2(X1,X2),X1))).
% 5.05/1.06 cnf(i_0_227, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 5.05/1.06 cnf(i_0_351, plain, (open_subset(esk31_1(X1),X1)|empty_carrier(X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_180, plain, (filtered_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_35, plain, (open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2)))|~empty(X1))).
% 5.05/1.06 cnf(i_0_34, plain, (closed_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2)))|~empty(X1))).
% 5.05/1.06 cnf(i_0_47, plain, (nowhere_dense(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2)))|~empty(X1))).
% 5.05/1.06 cnf(i_0_350, plain, (closed_subset(esk31_1(X1),X1)|empty_carrier(X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_402, plain, (closed_subset(esk42_1(X1),X1)|empty_carrier(X1)|~top_str(X1)|~topological_space(X1))).
% 5.05/1.06 cnf(i_0_228, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 5.05/1.06 cnf(i_0_324, plain, (filtered_subset(esk25_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_325, plain, (directed_subset(esk25_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_26, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_95, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 5.05/1.06 cnf(i_0_328, plain, (element(esk25_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_164, plain, (directed_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_68, plain, (empty(X1)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_50, plain, (boundary_set(X1,X2)|~nowhere_dense(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_234, plain, (filtered_subset(esk9_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_53, plain, (nowhere_dense(X1,X2)|~boundary_set(X1,X2)|~closed_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_233, plain, (upper_relstr_subset(esk9_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_412, plain, (lower_relstr_subset(esk45_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_413, plain, (directed_subset(esk45_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_117, plain, (relation(the_mapping(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_118, plain, (empty_carrier(X1)|empty_carrier(X2)|~empty(the_mapping(X1,X2))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_162, plain, (empty_carrier(X1)|empty_carrier(X2)|~empty(filter_of_net_str(X1,X2))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_236, plain, (element(esk9_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_415, plain, (element(esk45_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_14, plain, (complete_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_435, plain, (X1=X2|in(esk49_2(X1,X2),X1)|in(esk49_2(X1,X2),X2))).
% 5.05/1.06 cnf(i_0_65, plain, (v1_membered(X1)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_64, plain, (v2_membered(X1)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_63, plain, (v3_membered(X1)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_62, plain, (v4_membered(X1)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_99, plain, (quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_61, plain, (v5_membered(X1)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_66, plain, (closed_subset(X1,X2)|~nowhere_dense(X1,X2)|~open_subset(X1,X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2))))).
% 5.05/1.06 cnf(i_0_373, plain, (trivial_carrier(X1)|empty_carrier(X1)|~empty(esk36_1(X1))|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_15, plain, (with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_98, plain, (relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_11, plain, (bounded_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_239, plain, (filtered_subset(esk10_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_237, plain, (upper_relstr_subset(esk10_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_242, plain, (element(esk10_1(X1),powerset(the_carrier(X1)))|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_161, plain, (upper_relstr_subset(filter_of_net_str(X1,X2),boole_POSet(cast_as_carrier_subset(X1)))|empty_carrier(X1)|empty_carrier(X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_82, plain, (element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))|empty_carrier(X1)|empty_carrier(X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_238, plain, (lower_relstr_subset(esk10_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_73, plain, (a_2_1_yellow19(X1,X2)=filter_of_net_str(X1,X2)|empty_carrier(X1)|empty_carrier(X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_240, plain, (directed_subset(esk10_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_371, plain, (filtered_subset(esk36_1(X1),X1)|trivial_carrier(X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_370, plain, (upper_relstr_subset(esk36_1(X1),X1)|trivial_carrier(X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_225, plain, (esk8_3(X1,X2,X3)=X1|empty_carrier(X2)|empty_carrier(X3)|~in(X1,a_2_1_yellow19(X2,X3))|~net_str(X3,X2)|~one_sorted_str(X2))).
% 5.05/1.06 cnf(i_0_86, plain, (empty(X1)|empty(X2)|empty_carrier(X3)|~upper_relstr_subset(X2,boole_POSet(X1))|~filtered_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|~element(X1,powerset(the_carrier(X3)))|~empty_carrier(net_of_bool_filter(X3,X1,X2))|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_78, plain, (element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))|empty_carrier(X1)|empty_carrier(X2)|~directed_relstr(X2)|~top_str(X1)|~topological_space(X1)|~transitive_relstr(X2)|~net_str(X2,X1))).
% 5.05/1.06 cnf(i_0_374, plain, (trivial_carrier(X1)|element(esk36_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_372, plain, (proper_element(esk36_1(X1),powerset(the_carrier(X1)))|trivial_carrier(X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 5.05/1.06 cnf(i_0_2, plain, (net_str_of(X1,the_carrier(X2),the_InternalRel(X2),the_mapping(X1,X2))=X2|~strict_net_str(X2,X1)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_188, plain, (empty(X1)|~quasi_total(X2,X1,the_carrier(X3))|~function(X2)|~relation_of2(X2,X1,the_carrier(X3))|~relation_of2(X4,X1,X1)|~empty_carrier(net_str_of(X3,X1,X4,X2))|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_224, plain, (is_eventually_in(X1,X2,esk8_3(X3,X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~in(X3,a_2_1_yellow19(X1,X2))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_76, plain, (net_str(net_str_of(X1,X2,X3,X4),X1)|~quasi_total(X4,X2,the_carrier(X1))|~function(X4)|~relation_of2(X4,X2,the_carrier(X1))|~relation_of2(X3,X2,X2)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_77, plain, (strict_net_str(net_str_of(X1,X2,X3,X4),X1)|~quasi_total(X4,X2,the_carrier(X1))|~function(X4)|~relation_of2(X4,X2,the_carrier(X1))|~relation_of2(X3,X2,X2)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_166, plain, (proper_element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))|empty_carrier(X1)|empty_carrier(X2)|~directed_relstr(X2)|~transitive_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_168, plain, (filtered_subset(filter_of_net_str(X1,X2),boole_POSet(cast_as_carrier_subset(X1)))|empty_carrier(X1)|empty_carrier(X2)|~directed_relstr(X2)|~transitive_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_226, plain, (element(esk8_3(X1,X2,X3),powerset(the_carrier(X2)))|empty_carrier(X2)|empty_carrier(X3)|~in(X1,a_2_1_yellow19(X2,X3))|~net_str(X3,X2)|~one_sorted_str(X2))).
% 5.05/1.06 cnf(i_0_223, plain, (empty_carrier(X1)|empty_carrier(X2)|in(X3,a_2_1_yellow19(X2,X1))|~is_eventually_in(X2,X1,X3)|~element(X3,powerset(the_carrier(X2)))|~net_str(X1,X2)|~one_sorted_str(X2))).
% 5.05/1.06 cnf(i_0_229, plain, (X1=X2|net_str_of(X3,X4,X5,X1)!=net_str_of(X6,X7,X8,X2)|~quasi_total(X1,X4,the_carrier(X3))|~function(X1)|~relation_of2(X1,X4,the_carrier(X3))|~relation_of2(X5,X4,X4)|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_230, plain, (X1=X2|net_str_of(X3,X4,X1,X5)!=net_str_of(X6,X7,X2,X8)|~quasi_total(X5,X4,the_carrier(X3))|~function(X5)|~relation_of2(X5,X4,the_carrier(X3))|~relation_of2(X1,X4,X4)|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_231, plain, (X1=X2|net_str_of(X3,X1,X4,X5)!=net_str_of(X6,X2,X7,X8)|~quasi_total(X5,X1,the_carrier(X3))|~function(X5)|~relation_of2(X5,X1,the_carrier(X3))|~relation_of2(X4,X1,X1)|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_232, plain, (X1=X2|net_str_of(X1,X3,X4,X5)!=net_str_of(X2,X6,X7,X8)|~quasi_total(X5,X3,the_carrier(X1))|~function(X5)|~relation_of2(X5,X3,the_carrier(X1))|~relation_of2(X4,X3,X3)|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_177, plain, (empty(X1)|empty(X2)|reflexive_relstr(net_of_bool_filter(X3,X1,X2))|empty_carrier(X3)|~upper_relstr_subset(X2,boole_POSet(X1))|~filtered_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|~element(X1,powerset(the_carrier(X3)))|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_176, plain, (empty(X1)|empty(X2)|transitive_relstr(net_of_bool_filter(X3,X1,X2))|empty_carrier(X3)|~upper_relstr_subset(X2,boole_POSet(X1))|~filtered_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|~element(X1,powerset(the_carrier(X3)))|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_419, plain, (empty_carrier(X1)|empty_carrier(X2)|in(X3,lim_points_of_net(X1,X2))|~is_a_convergence_point_of_set(X1,filter_of_net_str(X1,X2),X3)|~directed_relstr(X2)|~top_str(X1)|~topological_space(X1)|~element(X3,the_carrier(X1))|~transitive_relstr(X2)|~net_str(X2,X1))).
% 5.05/1.06 cnf(i_0_84, plain, (empty(X1)|empty(X2)|empty_carrier(X3)|net_str(net_of_bool_filter(X3,X1,X2),X3)|~upper_relstr_subset(X2,boole_POSet(X1))|~filtered_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|~element(X1,powerset(the_carrier(X3)))|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_85, plain, (empty(X1)|empty(X2)|empty_carrier(X3)|strict_net_str(net_of_bool_filter(X3,X1,X2),X3)|~upper_relstr_subset(X2,boole_POSet(X1))|~filtered_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|~element(X1,powerset(the_carrier(X3)))|~one_sorted_str(X3))).
% 5.05/1.06 cnf(i_0_420, plain, (is_a_convergence_point_of_set(X1,filter_of_net_str(X1,X2),X3)|empty_carrier(X1)|empty_carrier(X2)|~directed_relstr(X2)|~top_str(X1)|~topological_space(X1)|~element(X3,the_carrier(X1))|~transitive_relstr(X2)|~in(X3,lim_points_of_net(X1,X2))|~net_str(X2,X1))).
% 5.05/1.06 cnf(i_0_182, plain, (directed_relstr(net_of_bool_filter(X1,X2,X3))|empty(X2)|empty(X3)|empty_carrier(X1)|~proper_element(X3,powerset(the_carrier(boole_POSet(X2))))|~upper_relstr_subset(X3,boole_POSet(X2))|~filtered_subset(X3,boole_POSet(X2))|~element(X3,powerset(the_carrier(boole_POSet(X2))))|~element(X2,powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 5.05/1.06 cnf(i_0_421, plain, (filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2))=X2|empty(X2)|empty_carrier(X1)|~proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))|~upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))|~filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))|~element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))|~one_sorted_str(X1))).
% 5.05/1.06 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 5.05/1.06 # Begin printing tableau
% 5.05/1.06 # Found 4 steps
% 5.05/1.06 cnf(i_0_430, negated_conjecture, (top_str(esk46_0)), inference(start_rule)).
% 5.05/1.06 cnf(i_0_456, plain, (top_str(esk46_0)), inference(extension_rule, [i_0_90])).
% 5.05/1.06 cnf(i_0_1297, plain, (one_sorted_str(esk46_0)), inference(extension_rule, [i_0_398])).
% 5.05/1.06 cnf(i_0_1301, plain, (~empty_carrier(esk40_1(esk46_0))), inference(etableau_closure_rule, [i_0_1301, ...])).
% 5.05/1.06 # End printing tableau
% 5.05/1.06 # SZS output end
% 5.05/1.06 # Branches closed with saturation will be marked with an "s"
% 5.05/1.07 # Child (16232) has found a proof.
% 5.05/1.07
% 5.05/1.07 # Proof search is over...
% 5.05/1.07 # Freeing feature tree
%------------------------------------------------------------------------------