TSTP Solution File: SEU391+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU391+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 : n029.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 09:26:25 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU391+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 : n029.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 01:42:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.38 # No SInE strategy applied
% 0.19/0.38 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.19/0.38 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.19/0.38 #
% 0.19/0.38 # Presaturation interreduction done
% 0.19/0.38 # Number of axioms: 299 Number of unprocessed: 243
% 0.19/0.38 # Tableaux proof search.
% 0.19/0.38 # APR header successfully linked.
% 0.19/0.38 # Hello from C++
% 0.19/0.39 # The folding up rule is enabled...
% 0.19/0.39 # Local unification is enabled...
% 0.19/0.39 # Any saturation attempts will use folding labels...
% 0.19/0.39 # 243 beginning clauses after preprocessing and clausification
% 0.19/0.39 # Creating start rules for all 7 conjectures.
% 0.19/0.39 # There are 7 start rule candidates:
% 0.19/0.39 # Found 128 unit axioms.
% 0.19/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.39 # 7 start rule tableaux created.
% 0.19/0.39 # 115 extension rule candidate clauses
% 0.19/0.39 # 128 unit axiom clauses
% 0.19/0.39
% 0.19/0.39 # Requested 8, 32 cores available to the main process.
% 0.19/0.39 # There are not enough tableaux to fork, creating more from the initial 7
% 0.19/0.39 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.39 # We now have 18 tableaux to operate on
% 0.19/0.46 # There were 1 total branch saturation attempts.
% 0.19/0.46 # There were 0 of these attempts blocked.
% 0.19/0.46 # There were 0 deferred branch saturation attempts.
% 0.19/0.46 # There were 0 free duplicated saturations.
% 0.19/0.46 # There were 1 total successful branch saturations.
% 0.19/0.46 # There were 0 successful branch saturations in interreduction.
% 0.19/0.46 # There were 0 successful branch saturations on the branch.
% 0.19/0.46 # There were 1 successful branch saturations after the branch.
% 0.19/0.46 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Begin clausification derivation
% 0.19/0.46
% 0.19/0.46 # End clausification derivation
% 0.19/0.46 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.46 cnf(i_0_319, negated_conjecture, (one_sorted_str(esk35_0))).
% 0.19/0.46 cnf(i_0_317, negated_conjecture, (net_str(esk36_0,esk35_0))).
% 0.19/0.46 cnf(i_0_73, plain, (rel_str(esk1_0))).
% 0.19/0.46 cnf(i_0_74, plain, (one_sorted_str(esk2_0))).
% 0.19/0.46 cnf(i_0_286, plain, (one_sorted_str(esk27_0))).
% 0.19/0.46 cnf(i_0_190, plain, (rel_str(esk10_0))).
% 0.19/0.46 cnf(i_0_204, plain, (rel_str(esk11_0))).
% 0.19/0.46 cnf(i_0_213, plain, (rel_str(esk13_0))).
% 0.19/0.46 cnf(i_0_237, plain, (rel_str(esk17_0))).
% 0.19/0.46 cnf(i_0_247, plain, (rel_str(esk18_0))).
% 0.19/0.46 cnf(i_0_256, plain, (rel_str(esk19_0))).
% 0.19/0.46 cnf(i_0_279, plain, (rel_str(esk24_0))).
% 0.19/0.46 cnf(i_0_297, plain, (rel_str(esk30_0))).
% 0.19/0.46 cnf(i_0_202, plain, (strict_rel_str(esk11_0))).
% 0.19/0.46 cnf(i_0_211, plain, (strict_rel_str(esk13_0))).
% 0.19/0.46 cnf(i_0_234, plain, (strict_rel_str(esk17_0))).
% 0.19/0.46 cnf(i_0_245, plain, (strict_rel_str(esk18_0))).
% 0.19/0.46 cnf(i_0_254, plain, (strict_rel_str(esk19_0))).
% 0.19/0.46 cnf(i_0_295, plain, (strict_rel_str(esk30_0))).
% 0.19/0.46 cnf(i_0_188, plain, (reflexive_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_201, plain, (reflexive_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_210, plain, (reflexive_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_233, plain, (reflexive_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_244, plain, (reflexive_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_253, plain, (reflexive_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_277, plain, (reflexive_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_196, plain, (complete_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_207, plain, (complete_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_239, plain, (complete_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_248, plain, (complete_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_272, plain, (complete_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_192, plain, (up_complete_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_191, plain, (join_complete_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_195, plain, (lower_bounded_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_230, plain, (lower_bounded_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_271, plain, (lower_bounded_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_187, plain, (transitive_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_200, plain, (transitive_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_209, plain, (transitive_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_232, plain, (transitive_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_243, plain, (transitive_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_252, plain, (transitive_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_276, plain, (transitive_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_294, plain, (transitive_relstr(esk30_0))).
% 0.19/0.46 cnf(i_0_186, plain, (antisymmetric_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_199, plain, (antisymmetric_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_208, plain, (antisymmetric_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_231, plain, (antisymmetric_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_242, plain, (antisymmetric_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_251, plain, (antisymmetric_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_275, plain, (antisymmetric_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_198, plain, (with_suprema_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_222, plain, (with_suprema_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_241, plain, (with_suprema_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_250, plain, (with_suprema_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_274, plain, (with_suprema_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_197, plain, (with_infima_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_221, plain, (with_infima_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_240, plain, (with_infima_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_249, plain, (with_infima_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_273, plain, (with_infima_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_194, plain, (upper_bounded_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_229, plain, (upper_bounded_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_270, plain, (upper_bounded_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_193, plain, (bounded_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_228, plain, (bounded_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_269, plain, (bounded_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_81, plain, (empty(empty_set))).
% 0.19/0.46 cnf(i_0_215, plain, (empty(esk14_0))).
% 0.19/0.46 cnf(i_0_205, plain, (finite(esk12_0))).
% 0.19/0.46 cnf(i_0_80, plain, (relation(empty_set))).
% 0.19/0.46 cnf(i_0_214, plain, (relation(esk14_0))).
% 0.19/0.46 cnf(i_0_257, plain, (relation(esk20_0))).
% 0.19/0.46 cnf(i_0_284, plain, (relation(esk26_0))).
% 0.19/0.46 cnf(i_0_238, plain, (trivial_carrier(esk18_0))).
% 0.19/0.46 cnf(i_0_185, plain, (connected_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_79, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.46 cnf(i_0_283, plain, (relation_empty_yielding(esk26_0))).
% 0.19/0.46 cnf(i_0_226, plain, (distributive_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_225, plain, (heyting_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_224, plain, (complemented_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_223, plain, (boolean_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_293, plain, (directed_relstr(esk30_0))).
% 0.19/0.46 cnf(i_0_63, plain, (rel_str(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_64, plain, (strict_rel_str(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_313, plain, (subset(X1,X1))).
% 0.19/0.46 cnf(i_0_103, plain, (reflexive_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_88, plain, (complete_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_97, plain, (up_complete_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_96, plain, (join_complete_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_100, plain, (lower_bounded_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_102, plain, (transitive_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_101, plain, (antisymmetric_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_90, plain, (with_suprema_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_89, plain, (with_infima_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_99, plain, (upper_bounded_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_98, plain, (bounded_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_259, plain, (empty(esk21_1(X1)))).
% 0.19/0.46 cnf(i_0_266, plain, (finite(esk23_1(X1)))).
% 0.19/0.46 cnf(i_0_94, plain, (distributive_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_93, plain, (heyting_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_92, plain, (complemented_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_91, plain, (boolean_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_160, plain, (directed_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_77, plain, (element(esk5_1(X1),X1))).
% 0.19/0.46 cnf(i_0_260, plain, (element(esk21_1(X1),powerset(X1)))).
% 0.19/0.46 cnf(i_0_268, plain, (element(esk23_1(X1),powerset(powerset(X1))))).
% 0.19/0.46 cnf(i_0_76, plain, (relation_of2(esk4_2(X1,X2),X1,X2))).
% 0.19/0.46 cnf(i_0_78, plain, (relation_of2_as_subset(esk6_2(X1,X2),X1,X2))).
% 0.19/0.46 cnf(i_0_320, negated_conjecture, (~empty_carrier(esk35_0))).
% 0.19/0.46 cnf(i_0_318, negated_conjecture, (~empty_carrier(esk36_0))).
% 0.19/0.46 cnf(i_0_189, plain, (~empty_carrier(esk10_0))).
% 0.19/0.46 cnf(i_0_203, plain, (~empty_carrier(esk11_0))).
% 0.19/0.46 cnf(i_0_212, plain, (~empty_carrier(esk13_0))).
% 0.19/0.46 cnf(i_0_236, plain, (~empty_carrier(esk17_0))).
% 0.19/0.46 cnf(i_0_246, plain, (~empty_carrier(esk18_0))).
% 0.19/0.46 cnf(i_0_255, plain, (~empty_carrier(esk19_0))).
% 0.19/0.46 cnf(i_0_278, plain, (~empty_carrier(esk24_0))).
% 0.19/0.46 cnf(i_0_285, plain, (~empty_carrier(esk27_0))).
% 0.19/0.46 cnf(i_0_296, plain, (~empty_carrier(esk30_0))).
% 0.19/0.46 cnf(i_0_206, plain, (~empty(esk12_0))).
% 0.19/0.46 cnf(i_0_258, plain, (~empty(esk20_0))).
% 0.19/0.46 cnf(i_0_235, plain, (~trivial_carrier(esk17_0))).
% 0.19/0.46 cnf(i_0_227, plain, (~v1_yellow_3(esk17_0))).
% 0.19/0.46 cnf(i_0_105, plain, (~empty_carrier(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_87, plain, (~empty(powerset(X1)))).
% 0.19/0.46 cnf(i_0_267, plain, (~empty(esk23_1(X1)))).
% 0.19/0.46 cnf(i_0_95, plain, (~v1_yellow_3(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_316, negated_conjecture, (~is_eventually_in(esk35_0,esk36_0,esk37_0)|~element(esk37_0,powerset(the_carrier(esk35_0)))|~in(esk37_0,filter_of_net_str(esk35_0,esk36_0)))).
% 0.19/0.46 cnf(i_0_315, negated_conjecture, (is_eventually_in(esk35_0,esk36_0,esk37_0)|in(esk37_0,filter_of_net_str(esk35_0,esk36_0)))).
% 0.19/0.46 cnf(i_0_314, negated_conjecture, (element(esk37_0,powerset(the_carrier(esk35_0)))|in(esk37_0,filter_of_net_str(esk35_0,esk36_0)))).
% 0.19/0.46 cnf(i_0_330, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_288, plain, (~one_sorted_str(X1)|~empty(esk28_1(X1)))).
% 0.19/0.46 cnf(i_0_65, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_30, plain, (~with_suprema_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_37, plain, (~with_infima_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_29, plain, (finite(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_31, plain, (relation(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_329, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.46 cnf(i_0_108, plain, (~empty(cast_as_carrier_subset(X1))|~with_suprema_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_86, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 0.19/0.46 cnf(i_0_321, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_2, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_135, plain, (~empty(cast_as_carrier_subset(X1))|~with_infima_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_216, plain, (empty(X1)|~empty(esk15_1(X1)))).
% 0.19/0.46 cnf(i_0_281, plain, (empty(X1)|~empty(esk25_1(X1)))).
% 0.19/0.46 cnf(i_0_291, plain, (empty(X1)|~empty(esk29_1(X1)))).
% 0.19/0.46 cnf(i_0_126, plain, (empty(X1)|~trivial_carrier(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_46, plain, (lower_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_45, plain, (upper_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_85, plain, (empty_carrier(X1)|~empty(cast_as_carrier_subset(X1))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_305, plain, (empty_carrier(X1)|~empty(esk33_1(X1))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_106, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1)))).
% 0.19/0.46 cnf(i_0_287, plain, (finite(esk28_1(X1))|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_298, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk31_1(X1)))).
% 0.19/0.46 cnf(i_0_325, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.46 cnf(i_0_75, plain, (net_str(esk3_1(X1),X1)|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_50, plain, (bounded_relstr(X1)|~upper_bounded_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_67, plain, (rel_str(X1)|~net_str(X1,X2)|~one_sorted_str(X2))).
% 0.19/0.46 cnf(i_0_328, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.46 cnf(i_0_60, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_289, plain, (element(esk28_1(X1),powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_326, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.46 cnf(i_0_331, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.46 cnf(i_0_312, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.46 cnf(i_0_264, plain, (empty_carrier(X1)|~empty(esk22_1(X1))|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_32, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.19/0.46 cnf(i_0_220, plain, (element(esk16_1(X1),powerset(the_carrier(X1)))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_302, plain, (element(esk32_1(X1),powerset(the_carrier(X1)))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_34, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_33, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_43, plain, (bounded_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_51, plain, (upper_bounded_relstr(X1)|~with_suprema_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_280, plain, (finite(esk25_1(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_290, plain, (finite(esk29_1(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_301, plain, (lower_relstr_subset(esk32_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_300, plain, (upper_relstr_subset(esk32_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_219, plain, (directed_subset(esk16_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_218, plain, (filtered_subset(esk16_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_322, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.46 cnf(i_0_217, plain, (element(esk15_1(X1),powerset(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_282, plain, (element(esk25_1(X1),powerset(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_292, plain, (element(esk29_1(X1),powerset(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_263, plain, (finite(esk22_1(X1))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_133, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 0.19/0.46 cnf(i_0_311, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.19/0.46 cnf(i_0_177, plain, (empty_carrier(X1)|~empty(esk8_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_309, plain, (empty_carrier(X1)|~empty(esk34_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_299, plain, (element(esk31_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_36, plain, (finite(X1)|~element(X1,powerset(X2))|~finite(X2))).
% 0.19/0.46 cnf(i_0_306, plain, (element(esk33_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_327, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_38, plain, (complete_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_304, plain, (lower_relstr_subset(esk33_1(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_4, plain, (up_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_3, plain, (join_complete_relstr(X1)|em# There were 1 total branch saturation attempts.
% 0.19/0.46 # There were 0 of these attempts blocked.
% 0.19/0.46 # There were 0 deferred branch saturation attempts.
% 0.19/0.46 # There were 0 free duplicated saturations.
% 0.19/0.46 # There were 1 total successful branch saturations.
% 0.19/0.46 # There were 0 successful branch saturations in interreduction.
% 0.19/0.46 # There were 0 successful branch saturations on the branch.
% 0.19/0.46 # There were 1 successful branch saturations after the branch.
% 0.19/0.46 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Begin clausification derivation
% 0.19/0.46
% 0.19/0.46 # End clausification derivation
% 0.19/0.46 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.46 cnf(i_0_319, negated_conjecture, (one_sorted_str(esk35_0))).
% 0.19/0.46 cnf(i_0_317, negated_conjecture, (net_str(esk36_0,esk35_0))).
% 0.19/0.46 cnf(i_0_73, plain, (rel_str(esk1_0))).
% 0.19/0.46 cnf(i_0_74, plain, (one_sorted_str(esk2_0))).
% 0.19/0.46 cnf(i_0_286, plain, (one_sorted_str(esk27_0))).
% 0.19/0.46 cnf(i_0_190, plain, (rel_str(esk10_0))).
% 0.19/0.46 cnf(i_0_204, plain, (rel_str(esk11_0))).
% 0.19/0.46 cnf(i_0_213, plain, (rel_str(esk13_0))).
% 0.19/0.46 cnf(i_0_237, plain, (rel_str(esk17_0))).
% 0.19/0.46 cnf(i_0_247, plain, (rel_str(esk18_0))).
% 0.19/0.46 cnf(i_0_256, plain, (rel_str(esk19_0))).
% 0.19/0.46 cnf(i_0_279, plain, (rel_str(esk24_0))).
% 0.19/0.46 cnf(i_0_297, plain, (rel_str(esk30_0))).
% 0.19/0.46 cnf(i_0_202, plain, (strict_rel_str(esk11_0))).
% 0.19/0.46 cnf(i_0_211, plain, (strict_rel_str(esk13_0))).
% 0.19/0.46 cnf(i_0_234, plain, (strict_rel_str(esk17_0))).
% 0.19/0.46 cnf(i_0_245, plain, (strict_rel_str(esk18_0))).
% 0.19/0.46 cnf(i_0_254, plain, (strict_rel_str(esk19_0))).
% 0.19/0.46 cnf(i_0_295, plain, (strict_rel_str(esk30_0))).
% 0.19/0.46 cnf(i_0_188, plain, (reflexive_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_201, plain, (reflexive_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_210, plain, (reflexive_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_233, plain, (reflexive_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_244, plain, (reflexive_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_253, plain, (reflexive_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_277, plain, (reflexive_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_196, plain, (complete_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_207, plain, (complete_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_239, plain, (complete_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_248, plain, (complete_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_272, plain, (complete_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_192, plain, (up_complete_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_191, plain, (join_complete_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_195, plain, (lower_bounded_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_230, plain, (lower_bounded_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_271, plain, (lower_bounded_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_187, plain, (transitive_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_200, plain, (transitive_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_209, plain, (transitive_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_232, plain, (transitive_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_243, plain, (transitive_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_252, plain, (transitive_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_276, plain, (transitive_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_294, plain, (transitive_relstr(esk30_0))).
% 0.19/0.46 cnf(i_0_186, plain, (antisymmetric_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_199, plain, (antisymmetric_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_208, plain, (antisymmetric_relstr(esk13_0))).
% 0.19/0.46 cnf(i_0_231, plain, (antisymmetric_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_242, plain, (antisymmetric_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_251, plain, (antisymmetric_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_275, plain, (antisymmetric_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_198, plain, (with_suprema_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_222, plain, (with_suprema_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_241, plain, (with_suprema_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_250, plain, (with_suprema_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_274, plain, (with_suprema_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_197, plain, (with_infima_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_221, plain, (with_infima_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_240, plain, (with_infima_relstr(esk18_0))).
% 0.19/0.46 cnf(i_0_249, plain, (with_infima_relstr(esk19_0))).
% 0.19/0.46 cnf(i_0_273, plain, (with_infima_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_194, plain, (upper_bounded_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_229, plain, (upper_bounded_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_270, plain, (upper_bounded_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_193, plain, (bounded_relstr(esk11_0))).
% 0.19/0.46 cnf(i_0_228, plain, (bounded_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_269, plain, (bounded_relstr(esk24_0))).
% 0.19/0.46 cnf(i_0_81, plain, (empty(empty_set))).
% 0.19/0.46 cnf(i_0_215, plain, (empty(esk14_0))).
% 0.19/0.46 cnf(i_0_205, plain, (finite(esk12_0))).
% 0.19/0.46 cnf(i_0_80, plain, (relation(empty_set))).
% 0.19/0.46 cnf(i_0_214, plain, (relation(esk14_0))).
% 0.19/0.46 cnf(i_0_257, plain, (relation(esk20_0))).
% 0.19/0.46 cnf(i_0_284, plain, (relation(esk26_0))).
% 0.19/0.46 cnf(i_0_238, plain, (trivial_carrier(esk18_0))).
% 0.19/0.46 cnf(i_0_185, plain, (connected_relstr(esk10_0))).
% 0.19/0.46 cnf(i_0_79, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.46 cnf(i_0_283, plpty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_7, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_40, plain, (transitive_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_303, plain, (upper_relstr_subset(esk33_1(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_39, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_47, plain, (connected_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_82, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 0.19/0.46 cnf(i_0_265, plain, (element(esk22_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_84, plain, (lower_relstr_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_83, plain, (upper_relstr_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_183, plain, (~empty(esk9_1(X1))|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_107, plain, (directed_subset(cast_as_carrier_subset(X1),X1)|~with_suprema_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_134, plain, (filtered_subset(cast_as_carrier_subset(X1),X1)|~with_infima_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_20, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~antisymmetric_relstr(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_71, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_70, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.46 cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_262, plain, (directed_subset(esk22_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_261, plain, (filtered_subset(esk22_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_129, plain, (directed_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_56, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.19/0.46 cnf(i_0_57, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.19/0.46 cnf(i_0_324, plain, (X1=X2|~in(esk38_2(X1,X2),X2)|~in(esk38_2(X1,X2),X1))).
% 0.19/0.46 cnf(i_0_25, 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))).
% 0.19/0.46 cnf(i_0_173, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 0.19/0.46 cnf(i_0_136, plain, (filtered_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_178, plain, (element(esk8_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_310, plain, (element(esk34_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_55, 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))).
% 0.19/0.46 cnf(i_0_307, plain, (lower_relstr_subset(esk34_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_175, plain, (upper_relstr_subset(esk8_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_308, plain, (directed_subset(esk34_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_174, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 0.19/0.46 cnf(i_0_176, plain, (filtered_subset(esk8_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_13, 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))).
% 0.19/0.46 cnf(i_0_14, 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))).
% 0.19/0.46 cnf(i_0_323, plain, (X1=X2|in(esk38_2(X1,X2),X1)|in(esk38_2(X1,X2),X2))).
% 0.19/0.46 cnf(i_0_61, 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))).
% 0.19/0.46 cnf(i_0_184, plain, (element(esk9_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))).
% 0.19/0.46 cnf(i_0_10, 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))).
% 0.19/0.46 cnf(i_0_180, plain, (lower_relstr_subset(esk9_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_171, plain, (esk7_3(X1,X2,X3)=X1|empty_carrier(X2)|empty_carrier(X3)|~net_str(X3,X2)|~one_sorted_str(X2)|~in(X1,a_2_1_yellow19(X2,X3)))).
% 0.19/0.46 cnf(i_0_179, plain, (upper_relstr_subset(esk9_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_182, plain, (directed_subset(esk9_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_181, plain, (filtered_subset(esk9_1(X1),X1)|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_170, plain, (is_eventually_in(X1,X2,esk7_3(X3,X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~net_str(X2,X1)|~one_sorted_str(X1)|~in(X3,a_2_1_yellow19(X1,X2)))).
% 0.19/0.46 cnf(i_0_172, plain, (element(esk7_3(X1,X2,X3),powerset(the_carrier(X2)))|empty_carrier(X2)|empty_carrier(X3)|~net_str(X3,X2)|~one_sorted_str(X2)|~in(X1,a_2_1_yellow19(X2,X3)))).
% 0.19/0.46 cnf(i_0_169, plain, (empty_carrier(X1)|empty_carrier(X2)|in(X3,a_2_1_yellow19(X2,X1))|~is_eventually_in(X2,X1,X3)|~net_str(X1,X2)|~one_sorted_str(X2)|~element(X3,powerset(the_carrier(X2))))).
% 0.19/0.46 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.46 # Begin printing tableau
% 0.19/0.46 # Found 5 steps
% 0.19/0.46 cnf(i_0_320, negated_conjecture, (~empty_carrier(esk35_0)), inference(start_rule)).
% 0.19/0.46 cnf(i_0_341, plain, (~empty_carrier(esk35_0)), inference(extension_rule, [i_0_86])).
% 0.19/0.46 cnf(i_0_1192, plain, (~one_sorted_str(esk35_0)), inference(closure_rule, [i_0_319])).
% 0.19/0.46 cnf(i_0_1193, plain, (~empty(the_carrier(esk35_0))), inference(extension_rule, [i_0_216])).
% 0.19/0.46 cnf(i_0_1223, plain, (~empty(esk15_1(the_carrier(esk35_0)))), inference(etableau_closure_rule, [i_0_1223, ...])).
% 0.19/0.46 # End printing tableau
% 0.19/0.46 # SZS output end
% 0.19/0.46 # Branches closed with saturation will be marked with an "s"
% 0.19/0.46 ain, (relation_empty_yielding(esk26_0))).
% 0.19/0.46 cnf(i_0_226, plain, (distributive_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_225, plain, (heyting_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_224, plain, (complemented_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_223, plain, (boolean_relstr(esk17_0))).
% 0.19/0.46 cnf(i_0_293, plain, (directed_relstr(esk30_0))).
% 0.19/0.46 cnf(i_0_63, plain, (rel_str(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_64, plain, (strict_rel_str(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_313, plain, (subset(X1,X1))).
% 0.19/0.46 cnf(i_0_103, plain, (reflexive_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_88, plain, (complete_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_97, plain, (up_complete_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_96, plain, (join_complete_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_100, plain, (lower_bounded_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_102, plain, (transitive_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_101, plain, (antisymmetric_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_90, plain, (with_suprema_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_89, plain, (with_infima_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_99, plain, (upper_bounded_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_98, plain, (bounded_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_259, plain, (empty(esk21_1(X1)))).
% 0.19/0.46 cnf(i_0_266, plain, (finite(esk23_1(X1)))).
% 0.19/0.46 cnf(i_0_94, plain, (distributive_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_93, plain, (heyting_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_92, plain, (complemented_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_91, plain, (boolean_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_160, plain, (directed_relstr(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_77, plain, (element(esk5_1(X1),X1))).
% 0.19/0.46 cnf(i_0_260, plain, (element(esk21_1(X1),powerset(X1)))).
% 0.19/0.46 cnf(i_0_268, plain, (element(esk23_1(X1),powerset(powerset(X1))))).
% 0.19/0.46 cnf(i_0_76, plain, (relation_of2(esk4_2(X1,X2),X1,X2))).
% 0.19/0.46 cnf(i_0_78, plain, (relation_of2_as_subset(esk6_2(X1,X2),X1,X2))).
% 0.19/0.46 cnf(i_0_320, negated_conjecture, (~empty_carrier(esk35_0))).
% 0.19/0.46 cnf(i_0_318, negated_conjecture, (~empty_carrier(esk36_0))).
% 0.19/0.46 cnf(i_0_189, plain, (~empty_carrier(esk10_0))).
% 0.19/0.46 cnf(i_0_203, plain, (~empty_carrier(esk11_0))).
% 0.19/0.46 cnf(i_0_212, plain, (~empty_carrier(esk13_0))).
% 0.19/0.46 cnf(i_0_236, plain, (~empty_carrier(esk17_0))).
% 0.19/0.46 cnf(i_0_246, plain, (~empty_carrier(esk18_0))).
% 0.19/0.46 cnf(i_0_255, plain, (~empty_carrier(esk19_0))).
% 0.19/0.46 cnf(i_0_278, plain, (~empty_carrier(esk24_0))).
% 0.19/0.46 cnf(i_0_285, plain, (~empty_carrier(esk27_0))).
% 0.19/0.46 cnf(i_0_296, plain, (~empty_carrier(esk30_0))).
% 0.19/0.46 cnf(i_0_206, plain, (~empty(esk12_0))).
% 0.19/0.46 cnf(i_0_258, plain, (~empty(esk20_0))).
% 0.19/0.46 cnf(i_0_235, plain, (~trivial_carrier(esk17_0))).
% 0.19/0.46 cnf(i_0_227, plain, (~v1_yellow_3(esk17_0))).
% 0.19/0.46 cnf(i_0_105, plain, (~empty_carrier(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_87, plain, (~empty(powerset(X1)))).
% 0.19/0.46 cnf(i_0_267, plain, (~empty(esk23_1(X1)))).
% 0.19/0.46 cnf(i_0_95, plain, (~v1_yellow_3(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_316, negated_conjecture, (~is_eventually_in(esk35_0,esk36_0,esk37_0)|~element(esk37_0,powerset(the_carrier(esk35_0)))|~in(esk37_0,filter_of_net_str(esk35_0,esk36_0)))).
% 0.19/0.46 cnf(i_0_315, negated_conjecture, (is_eventually_in(esk35_0,esk36_0,esk37_0)|in(esk37_0,filter_of_net_str(esk35_0,esk36_0)))).
% 0.19/0.46 cnf(i_0_314, negated_conjecture, (element(esk37_0,powerset(the_carrier(esk35_0)))|in(esk37_0,filter_of_net_str(esk35_0,esk36_0)))).
% 0.19/0.46 cnf(i_0_330, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_288, plain, (~one_sorted_str(X1)|~empty(esk28_1(X1)))).
% 0.19/0.46 cnf(i_0_65, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_30, plain, (~with_suprema_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_37, plain, (~with_infima_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_29, plain, (finite(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_31, plain, (relation(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_329, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.46 cnf(i_0_108, plain, (~empty(cast_as_carrier_subset(X1))|~with_suprema_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_86, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 0.19/0.46 cnf(i_0_321, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_2, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_135, plain, (~empty(cast_as_carrier_subset(X1))|~with_infima_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_216, plain, (empty(X1)|~empty(esk15_1(X1)))).
% 0.19/0.46 cnf(i_0_281, plain, (empty(X1)|~empty(esk25_1(X1)))).
% 0.19/0.46 cnf(i_0_291, plain, (empty(X1)|~empty(esk29_1(X1)))).
% 0.19/0.46 cnf(i_0_126, plain, (empty(X1)|~trivial_carrier(boole_POSet(X1)))).
% 0.19/0.46 cnf(i_0_46, plain, (lower_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_45, plain, (upper_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_85, plain, (empty_carrier(X1)|~empty(cast_as_carrier_subset(X1))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_305, plain, (empty_carrier(X1)|~empty(esk33_1(X1))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_106, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1)))).
% 0.19/0.46 cnf(i_0_287, plain, (finite(esk28_1(X1))|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_298, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk31_1(X1)))).
% 0.19/0.46 cnf(i_0_325, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.46 cnf(i_0_75, plain, (net_str(esk3_1(X1),X1)|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_50, plain, (bounded_relstr(X1)|~upper_bounded_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_67, plain, (rel_str(X1)|~net_str(X1,X2)|~one_sorted_str(X2))).
% 0.19/0.46 cnf(i_0_328, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.46 cnf(i_0_60, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_289, plain, (element(esk28_1(X1),powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_326, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.46 cnf(i_0_331, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.46 cnf(i_0_312, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.46 cnf(i_0_264, plain, (empty_carrier(X1)|~empty(esk22_1(X1))|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_32, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.19/0.46 cnf(i_0_220, plain, (element(esk16_1(X1),powerset(the_carrier(X1)))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_302, plain, (element(esk32_1(X1),powerset(the_carrier(X1)))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_34, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_33, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_43, plain, (bounded_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_51, plain, (upper_bounded_relstr(X1)|~with_suprema_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_280, plain, (finite(esk25_1(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_290, plain, (finite(esk29_1(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_301, plain, (lower_relstr_subset(esk32_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_300, plain, (upper_relstr_subset(esk32_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_219, plain, (directed_subset(esk16_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_218, plain, (filtered_subset(esk16_1(X1),X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_322, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.46 cnf(i_0_217, plain, (element(esk15_1(X1),powerset(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_282, plain, (element(esk25_1(X1),powerset(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_292, plain, (element(esk29_1(X1),powerset(X1))|empty(X1))).
% 0.19/0.46 cnf(i_0_263, plain, (finite(esk22_1(X1))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_133, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 0.19/0.46 cnf(i_0_311, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.19/0.46 cnf(i_0_177, plain, (empty_carrier(X1)|~empty(esk8_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_309, plain, (empty_carrier(X1)|~empty(esk34_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_299, plain, (element(esk31_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))).
% 0.19/0.46 cnf(i_0_36, plain, (finite(X1)|~element(X1,powerset(X2))|~finite(X2))).
% 0.19/0.46 cnf(i_0_306, plain, (element(esk33_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_327, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_38, plain, (complete_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_304, plain, (lower_relstr_subset(esk33_1(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_4, plain, (up_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_3, plain, (join_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_7, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_40, plain, (transitive_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_303, plain, (upper_relstr_subset(esk33_1(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_39, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_47, plain, (connected_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_82, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 0.19/0.46 cnf(i_0_265, plain, (element(esk22_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_84, plain, (lower_relstr_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_83, plain, (upper_relstr_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_183, plain, (~empty(esk9_1(X1))|~with_infima_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_107, plain, (directed_subset(cast_as_carrier_subset(X1),X1)|~with_suprema_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_134, plain, (filtered_subset(cast_as_carrier_subset(X1),X1)|~with_infima_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_20, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~antisymmetric_relstr(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_71, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_70, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.46 cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_262, plain, (directed_subset(esk22_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_261, plain, (filtered_subset(esk22_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_129, plain, (directed_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~upper_bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_56, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.19/0.46 cnf(i_0_57, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.19/0.46 cnf(i_0_324, plain, (X1=X2|~in(esk38_2(X1,X2),X2)|~in(esk38_2(X1,X2),X1))).
% 0.19/0.46 cnf(i_0_25, 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))).
% 0.19/0.46 cnf(i_0_173, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 0.19/0.46 cnf(i_0_136, plain, (filtered_subset(cast_as_carrier_subset(X1),X1)|empty_carrier(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_178, plain, (element(esk8_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_310, plain, (element(esk34_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_55, 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))).
% 0.19/0.46 cnf(i_0_307, plain, (lower_relstr_subset(esk34_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_175, plain, (upper_relstr_subset(esk8_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_308, plain, (directed_subset(esk34_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_174, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 0.19/0.46 cnf(i_0_176, plain, (filtered_subset(esk8_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.46 cnf(i_0_13, plain, (complete_relstr(X1)|~with_suprema_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~lower_bounded_# Child (25136) has found a proof.
% 0.19/0.46
% 0.19/0.46 # Proof search is over...
% 0.19/0.46 # Freeing feature tree
%------------------------------------------------------------------------------