TSTP Solution File: SEU387+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU387+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 : n014.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 09:26:24 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 09:58:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.38 # No SInE strategy applied
% 0.13/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.38 #
% 0.13/0.38 # Presaturation interreduction done
% 0.13/0.38 # Number of axioms: 260 Number of unprocessed: 207
% 0.13/0.38 # Tableaux proof search.
% 0.13/0.38 # APR header successfully linked.
% 0.13/0.38 # Hello from C++
% 0.13/0.38 # The folding up rule is enabled...
% 0.13/0.38 # Local unification is enabled...
% 0.13/0.38 # Any saturation attempts will use folding labels...
% 0.13/0.38 # 207 beginning clauses after preprocessing and clausification
% 0.13/0.38 # Creating start rules for all 8 conjectures.
% 0.13/0.38 # There are 8 start rule candidates:
% 0.13/0.38 # Found 133 unit axioms.
% 0.13/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38 # 8 start rule tableaux created.
% 0.13/0.38 # 74 extension rule candidate clauses
% 0.13/0.38 # 133 unit axiom clauses
% 0.13/0.38
% 0.13/0.38 # Requested 8, 32 cores available to the main process.
% 0.13/0.40 # There were 1 total branch saturation attempts.
% 0.13/0.40 # There were 0 of these attempts blocked.
% 0.13/0.40 # There were 0 deferred branch saturation attempts.
% 0.13/0.40 # There were 0 free duplicated saturations.
% 0.13/0.40 # There were 1 total successful branch saturations.
% 0.13/0.40 # There were 0 successful branch saturations in interreduction.
% 0.13/0.40 # There were 0 successful branch saturations on the branch.
% 0.13/0.40 # There were 1 successful branch saturations after the branch.
% 0.13/0.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 # Begin clausification derivation
% 0.13/0.40
% 0.13/0.40 # End clausification derivation
% 0.13/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.40 cnf(i_0_276, negated_conjecture, (empty(esk30_0))).
% 0.13/0.40 cnf(i_0_277, negated_conjecture, (in(esk30_0,esk29_0))).
% 0.13/0.40 cnf(i_0_281, negated_conjecture, (filtered_subset(esk29_0,boole_POSet(esk28_0)))).
% 0.13/0.40 cnf(i_0_70, plain, (rel_str(esk1_0))).
% 0.13/0.40 cnf(i_0_77, plain, (empty(empty_set))).
% 0.13/0.40 cnf(i_0_280, negated_conjecture, (upper_relstr_subset(esk29_0,boole_POSet(esk28_0)))).
% 0.13/0.40 cnf(i_0_278, negated_conjecture, (element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0)))))).
% 0.13/0.40 cnf(i_0_279, negated_conjecture, (proper_element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0)))))).
% 0.13/0.40 cnf(i_0_163, plain, (rel_str(esk7_0))).
% 0.13/0.40 cnf(i_0_188, plain, (empty(esk11_0))).
% 0.13/0.40 cnf(i_0_177, plain, (rel_str(esk8_0))).
% 0.13/0.40 cnf(i_0_186, plain, (rel_str(esk10_0))).
% 0.13/0.40 cnf(i_0_207, plain, (rel_str(esk13_0))).
% 0.13/0.40 cnf(i_0_217, plain, (rel_str(esk14_0))).
% 0.13/0.40 cnf(i_0_226, plain, (rel_str(esk15_0))).
% 0.13/0.40 cnf(i_0_244, plain, (rel_str(esk19_0))).
% 0.13/0.40 cnf(i_0_267, plain, (rel_str(esk26_0))).
% 0.13/0.40 cnf(i_0_175, plain, (strict_rel_str(esk8_0))).
% 0.13/0.40 cnf(i_0_184, plain, (strict_rel_str(esk10_0))).
% 0.13/0.40 cnf(i_0_204, plain, (strict_rel_str(esk13_0))).
% 0.13/0.40 cnf(i_0_215, plain, (strict_rel_str(esk14_0))).
% 0.13/0.40 cnf(i_0_224, plain, (strict_rel_str(esk15_0))).
% 0.13/0.40 cnf(i_0_265, plain, (strict_rel_str(esk26_0))).
% 0.13/0.40 cnf(i_0_161, plain, (reflexive_relstr(esk7_0))).
% 0.13/0.40 cnf(i_0_174, plain, (reflexive_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_183, plain, (reflexive_relstr(esk10_0))).
% 0.13/0.40 cnf(i_0_203, plain, (reflexive_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_214, plain, (reflexive_relstr(esk14_0))).
% 0.13/0.40 cnf(i_0_223, plain, (reflexive_relstr(esk15_0))).
% 0.13/0.40 cnf(i_0_242, plain, (reflexive_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_169, plain, (complete_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_180, plain, (complete_relstr(esk10_0))).
% 0.13/0.40 cnf(i_0_209, plain, (complete_relstr(esk14_0))).
% 0.13/0.40 cnf(i_0_218, plain, (complete_relstr(esk15_0))).
% 0.13/0.40 cnf(i_0_237, plain, (complete_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_165, plain, (up_complete_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_164, plain, (join_complete_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_168, plain, (lower_bounded_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_200, plain, (lower_bounded_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_236, plain, (lower_bounded_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_160, plain, (transitive_relstr(esk7_0))).
% 0.13/0.40 cnf(i_0_173, plain, (transitive_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_182, plain, (transitive_relstr(esk10_0))).
% 0.13/0.40 cnf(i_0_202, plain, (transitive_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_213, plain, (transitive_relstr(esk14_0))).
% 0.13/0.40 cnf(i_0_222, plain, (transitive_relstr(esk15_0))).
% 0.13/0.40 cnf(i_0_241, plain, (transitive_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_264, plain, (transitive_relstr(esk26_0))).
% 0.13/0.40 cnf(i_0_159, plain, (antisymmetric_relstr(esk7_0))).
% 0.13/0.40 cnf(i_0_172, plain, (antisymmetric_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_181, plain, (antisymmetric_relstr(esk10_0))).
% 0.13/0.40 cnf(i_0_201, plain, (antisymmetric_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_212, plain, (antisymmetric_relstr(esk14_0))).
% 0.13/0.40 cnf(i_0_221, plain, (antisymmetric_relstr(esk15_0))).
% 0.13/0.40 cnf(i_0_240, plain, (antisymmetric_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_171, plain, (with_suprema_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_192, plain, (with_suprema_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_211, plain, (with_suprema_relstr(esk14_0))).
% 0.13/0.40 cnf(i_0_220, plain, (with_suprema_relstr(esk15_0))).
% 0.13/0.40 cnf(i_0_239, plain, (with_suprema_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_170, plain, (with_infima_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_191, plain, (with_infima_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_210, plain, (with_infima_relstr(esk14_0))).
% 0.13/0.40 cnf(i_0_219, plain, (with_infima_relstr(esk15_0))).
% 0.13/0.40 cnf(i_0_238, plain, (with_infima_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_167, plain, (upper_bounded_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_199, plain, (upper_bounded_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_235, plain, (upper_bounded_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_166, plain, (bounded_relstr(esk8_0))).
% 0.13/0.40 cnf(i_0_198, plain, (bounded_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_234, plain, (bounded_relstr(esk19_0))).
% 0.13/0.40 cnf(i_0_178, plain, (finite(esk9_0))).
% 0.13/0.40 cnf(i_0_76, plain, (relation(empty_set))).
% 0.13/0.40 cnf(i_0_187, plain, (relation(esk11_0))).
% 0.13/0.40 cnf(i_0_227, plain, (relation(esk16_0))).
% 0.13/0.40 cnf(i_0_249, plain, (relation(esk21_0))).
% 0.13/0.40 cnf(i_0_208, plain, (trivial_carrier(esk14_0))).
% 0.13/0.40 cnf(i_0_158, plain, (connected_relstr(esk7_0))).
% 0.13/0.40 cnf(i_0_71, plain, (one_sorted_str(esk2_0))).
% 0.13/0.40 cnf(i_0_251, plain, (one_sorted_str(esk22_0))).
% 0.13/0.40 cnf(i_0_75, plain, (relation_empty_yielding(empty_set))).
% 0.13/0.40 cnf(i_0_248, plain, (relation_empty_yielding(esk21_0))).
% 0.13/0.40 cnf(i_0_196, plain, (distributive_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_195, plain, (heyting_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_194, plain, (complemented_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_193, plain, (boolean_relstr(esk13_0))).
% 0.13/0.40 cnf(i_0_263, plain, (directed_relstr(esk26_0))).
% 0.13/0.40 cnf(i_0_61, plain, (rel_str(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_62, plain, (strict_rel_str(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_273, plain, (bottom_of_relstr(boole_POSet(X1))=empty_set)).
% 0.13/0.40 cnf(i_0_96, plain, (reflexive_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_272, plain, (subset(X1,X1))).
% 0.13/0.40 cnf(i_0_81, plain, (complete_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_90, plain, (up_complete_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_89, plain, (join_complete_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_93, plain, (lower_bounded_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_95, plain, (transitive_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_94, plain, (antisymmetric_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_83, plain, (with_suprema_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_82, plain, (with_infima_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_92, plain, (upper_bounded_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_91, plain, (bounded_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_229, plain, (empty(esk17_1(X1)))).
% 0.13/0.40 cnf(i_0_231, plain, (finite(esk18_1(X1)))).
% 0.13/0.40 cnf(i_0_87, plain, (distributive_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_86, plain, (heyting_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_85, plain, (complemented_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_84, plain, (boolean_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_143, plain, (directed_relstr(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_73, plain, (element(esk4_1(X1),X1))).
% 0.13/0.40 cnf(i_0_230, plain, (element(esk17_1(X1),powerset(X1)))).
% 0.13/0.40 cnf(i_0_233, plain, (element(esk18_1(X1),powerset(powerset(X1))))).
% 0.13/0.40 cnf(i_0_72, plain, (relation_of2(esk3_2(X1,X2),X1,X2))).
% 0.13/0.40 cnf(i_0_74, plain, (relation_of2_as_subset(esk5_2(X1,X2),X1,X2))).
% 0.13/0.40 cnf(i_0_283, negated_conjecture, (~empty(esk28_0))).
% 0.13/0.40 cnf(i_0_282, negated_conjecture, (~empty(esk29_0))).
% 0.13/0.40 cnf(i_0_162, plain, (~empty_carrier(esk7_0))).
% 0.13/0.40 cnf(i_0_176, plain, (~empty_carrier(esk8_0))).
% 0.13/0.40 cnf(i_0_185, plain, (~empty_carrier(esk10_0))).
% 0.13/0.40 cnf(i_0_206, plain, (~empty_carrier(esk13_0))).
% 0.13/0.40 cnf(i_0_179, plain, (~empty(esk9_0))).
% 0.13/0.40 cnf(i_0_216, plain, (~empty_carrier(esk14_0))).
% 0.13/0.40 cnf(i_0_225, plain, (~empty_carrier(esk15_0))).
% 0.13/0.40 cnf(i_0_243, plain, (~empty_carrier(esk19_0))).
% 0.13/0.40 cnf(i_0_250, plain, (~empty_carrier(esk22_0))).
% 0.13/0.40 cnf(i_0_228, plain, (~empty(esk16_0))).
% 0.13/0.40 cnf(i_0_80, plain, (~empty(powerset(X1)))).
% 0.13/0.40 cnf(i_0_266, plain, (~empty_carrier(esk26_0))).
% 0.13/0.40 cnf(i_0_205, plain, (~trivial_carrier(esk13_0))).
% 0.13/0.40 cnf(i_0_197, plain, (~v1_yellow_3(esk13_0))).
% 0.13/0.40 cnf(i_0_98, plain, (~empty_carrier(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_232, plain, (~empty(esk18_1(X1)))).
% 0.13/0.40 cnf(i_0_88, plain, (~v1_yellow_3(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_289, plain, (~empty(X1)|~in(X2,X1))).
% 0.13/0.40 cnf(i_0_253, plain, (~one_sorted_str(X1)|~empty(esk23_1(X1)))).
% 0.13/0.40 cnf(i_0_30, plain, (~with_suprema_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_37, plain, (~with_infima_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_29, plain, (finite(X1)|~empty(X1))).
% 0.13/0.40 cnf(i_0_31, plain, (relation(X1)|~empty(X1))).
% 0.13/0.40 cnf(i_0_63, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_288, plain, (X1=empty_set|~empty(X1))).
% 0.13/0.40 cnf(i_0_2, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.13/0.40 cnf(i_0_189, plain, (empty(X1)|~empty(esk12_1(X1)))).
% 0.13/0.40 cnf(i_0_246, plain, (empty(X1)|~empty(esk20_1(X1)))).
% 0.13/0.40 cnf(i_0_256, plain, (empty(X1)|~empty(esk24_1(X1)))).
% 0.13/0.40 cnf(i_0_116, plain, (empty(X1)|~trivial_carrier(boole_POSet(X1)))).
% 0.13/0.40 cnf(i_0_46, plain, (lower_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_45, plain, (upper_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_274, plain, (element(X1,X2)|~in(X1,X2))).
% 0.13/0.40 cnf(i_0_79, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 0.13/0.40 cnf(i_0_268, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk27_1(X1)))).
% 0.13/0.40 cnf(i_0_252, plain, (finite(esk23_1(X1))|~one_sorted_str(X1))).
% 0.13/0.40 cnf(i_0_50, plain, (bounded_relstr(X1)|~upper_bounded_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_36, plain, (finite(X1)|~element(X1,powerset(X2))|~finite(X2))).
% 0.13/0.40 cnf(i_0_284, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.13/0.40 cnf(i_0_287, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.13/0.40 cnf(i_0_245, plain, (finite(esk20_1(X1))|empty(X1))).
% 0.13/0.40 cnf(i_0_285, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.13/0.40 cnf(i_0_290, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.13/0.40 cnf(i_0_271, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.13/0.40 cnf(i_0_34, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_120, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 0.13/0.40 cnf(i_0_255, plain, (finite(esk24_1(X1))|empty(X1))).
% 0.13/0.40 cnf(i_0_275, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.13/0.40 cnf(i_0_33, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_190, plain, (element(esk12_1(X1),powerset(X1))|empty(X1))).
% 0.13/0.40 cnf(i_0_51, plain, (upper_bounded_relstr(X1)|~with_suprema_relstr(X1)|~up_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_32, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.13/0.40 cnf(i_0_43, plain, (bounded_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_270, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.13/0.40 cnf(i_0_247, plain, (element(esk20_1(X1),powerset(X1))|empty(X1))).
% 0.13/0.40 cnf(i_0_257, plain, (element(esk24_1(X1),powerset(X1))|empty(X1))).
% 0.13/0.40 cnf(i_0_60, plain, (element(bottom_of_relstr(X1),the_carrier(X1))|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_254, plain, (element(esk23_1(X1),powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1))).
% 0.13/0.40 cnf(i_0_286, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.13/0.40 cnf(i_0_38, plain, (complete_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_156, plain, (empty_carrier(X1)|~empty(esk6_1(X1))|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_7, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~join_complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_40, plain, (transitive_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_39, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_269, plain, (element(esk27_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))).
% 0.13/0.40 cnf(i_0_78, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 0.13/0.40 cnf(i_0_67, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.13/0.40 cnf(i_0_68, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_4, plain, (up_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_3, plain, (join_complete_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_47, plain, (connected_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 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))).
% 0.13/0.40 cnf(i_0_55, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.13/0.40 cnf(i_0_56, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.13/0.40 cnf(i_0_155, plain, (filtered_subset(esk6_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_154, plain, (upper_relstr_subset(esk6_1(X1),X1)|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 cnf(i_0_157, plain, (element(esk6_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 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))).
% 0.13/0.40 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))).
% 0.13/0.40 cnf(i_0_152, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 0.13/0.40 cnf(i_0_153, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 0.13/0.40 cnf(i_0_261, plain, (trivial_carrier(X1)|empty_carrier(X1)|~empty(esk25_1(X1))|~upper_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.13/0.40 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))).
% 0.13/0.40 cnf(i_0_259, plain, (filtered_subset(esk25_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))).
% 0.13/0.40 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))).
% 0.13/0.40 cnf(i_0_258, plain, (upper_relstr_subset(esk25_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))).
% 0.13/0.40 cnf(i_0_262, plain, (trivial_carrier(X1)|element(esk25_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))).
% 0.13/0.40 cnf(i_0_260, plain, (proper_element(esk25_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))).
% 0.13/0.40 cnf(i_0_291, plain, (proper_element(X1,powerset(the_carrier(X2)))|empty(X1)|empty_carrier(X2)|in(bottom_of_relstr(X2),X1)|~upper_relstr_subset(X1,X2)|~filtered_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~antisymmetric_relstr(X2)|~transitive_relstr(X2)|~lower_bounded_relstr(X2)|~reflexive_relstr(X2)|~rel_str(X2))).
% 0.13/0.40 cnf(i_0_292, plain, (empty_carrier(X1)|~proper_element(X2,powerset(the_carrier(X1)))|~upper_relstr_subset(X2,X1)|~filtered_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~lower_bounded_relstr(X1)|~reflexive_relstr(X1)|~in(bottom_of_relstr(X1),X2)|~rel_str(X1))).
% 0.13/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.40 # Begin printing tableau
% 0.13/0.40 # Found 14 steps
% 0.13/0.40 cnf(i_0_279, negated_conjecture, (proper_element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0))))), inference(start_rule)).
% 0.13/0.40 cnf(i_0_295, plain, (proper_element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0))))), inference(extension_rule, [i_0_292])).
% 0.13/0.40 cnf(i_0_575, plain, (empty_carrier(boole_POSet(esk28_0))), inference(closure_rule, [i_0_98])).
% 0.13/0.40 cnf(i_0_577, plain, (~upper_relstr_subset(esk29_0,boole_POSet(esk28_0))), inference(closure_rule, [i_0_280])).
% 0.13/0.40 cnf(i_0_578, plain, (~filtered_subset(esk29_0,boole_POSet(esk28_0))), inference(closure_rule, [i_0_281])).
% 0.13/0.40 cnf(i_0_579, plain, (~element(esk29_0,powerset(the_carrier(boole_POSet(esk28_0))))), inference(closure_rule, [i_0_278])).
% 0.13/0.40 cnf(i_0_580, plain, (~antisymmetric_relstr(boole_POSet(esk28_0))), inference(closure_rule, [i_0_94])).
% 0.13/0.40 cnf(i_0_581, plain, (~transitive_relstr(boole_POSet(esk28_0))), inference(closure_rule, [i_0_95])).
% 0.13/0.40 cnf(i_0_582, plain, (~lower_bounded_relstr(boole_POSet(esk28_0))), inference(closure_rule, [i_0_93])).
% 0.13/0.40 cnf(i_0_583, plain, (~reflexive_relstr(boole_POSet(esk28_0))), inference(closure_rule, [i_0_96])).
% 0.13/0.40 cnf(i_0_585, plain, (~rel_str(boole_POSet(esk28_0))), inference(closure_rule, [i_0_61])).
% 0.13/0.40 cnf(i_0_584, plain, (~in(bottom_of_relstr(boole_POSet(esk28_0)),esk29_0)), inference(extension_rule, [i_0_275])).
% 0.13/0.40 cnf(i_0_660, plain, (empty(esk29_0)), inference(closure_rule, [i_0_282])).
% 0.13/0.40 cnf(i_0_662, plain, (~element(bottom_of_relstr(boole_POSet(esk28_0)),esk29_0)), inference(etableau_closure_rule, [i_0_662, ...])).
% 0.13/0.40 # End printing tableau
% 0.13/0.40 # SZS output end
% 0.13/0.40 # Branches closed with saturation will be marked with an "s"
% 0.13/0.40 # Child (9183) has found a proof.
% 0.13/0.40
% 0.13/0.40 # Proof search is over...
% 0.13/0.40 # Freeing feature tree
%------------------------------------------------------------------------------