TSTP Solution File: SEU369+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU369+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:26:15 EDT 2022

% Result   : Theorem 9.21s 1.60s
% Output   : CNFRefutation 9.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU369+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 19:53:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.39  # No SInE strategy applied
% 0.20/0.39  # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 0.20/0.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.39  #
% 0.20/0.39  # Number of axioms: 376 Number of unprocessed: 376
% 0.20/0.39  # Tableaux proof search.
% 0.20/0.39  # APR header successfully linked.
% 0.20/0.39  # Hello from C++
% 0.20/0.40  # The folding up rule is enabled...
% 0.20/0.40  # Local unification is enabled...
% 0.20/0.40  # Any saturation attempts will use folding labels...
% 0.20/0.40  # 376 beginning clauses after preprocessing and clausification
% 0.20/0.40  # Creating start rules for all 4 conjectures.
% 0.20/0.40  # There are 4 start rule candidates:
% 0.20/0.40  # Found 206 unit axioms.
% 0.20/0.40  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.40  # 4 start rule tableaux created.
% 0.20/0.40  # 170 extension rule candidate clauses
% 0.20/0.40  # 206 unit axiom clauses
% 0.20/0.40  
% 0.20/0.40  # Requested 8, 32 cores available to the main process.
% 0.20/0.40  # There are not enough tableaux to fork, creating more from the initial 4
% 0.20/0.40  # Returning from population with 30 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.40  # We now have 30 tableaux to operate on
% 9.21/1.58  # Creating equality axioms
% 9.21/1.58  # Ran out of tableaux, making start rules for all clauses
% 9.21/1.60  # There were 1 total branch saturation attempts.
% 9.21/1.60  # There were 0 of these attempts blocked.
% 9.21/1.60  # There were 0 deferred branch saturation attempts.
% 9.21/1.60  # There were 0 free duplicated saturations.
% 9.21/1.60  # There were 1 total successful branch saturations.
% 9.21/1.60  # There were 0 successful branch saturations in interreduction.
% 9.21/1.60  # There were 0 successful branch saturations on the branch.
% 9.21/1.60  # There were 1 successful branch saturations after the branch.
% 9.21/1.60  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.21/1.60  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.21/1.60  # Begin clausification derivation
% 9.21/1.60  
% 9.21/1.60  # End clausification derivation
% 9.21/1.60  # Begin listing active clauses obtained from FOF to CNF conversion
% 9.21/1.60  cnf(i_0_113, plain, (rel_str(esk2_0))).
% 9.21/1.60  cnf(i_0_309, plain, (rel_str(esk13_0))).
% 9.21/1.60  cnf(i_0_311, plain, (rel_str(esk14_0))).
% 9.21/1.60  cnf(i_0_324, plain, (rel_str(esk17_0))).
% 9.21/1.60  cnf(i_0_333, plain, (rel_str(esk18_0))).
% 9.21/1.60  cnf(i_0_339, plain, (rel_str(esk19_0))).
% 9.21/1.60  cnf(i_0_356, plain, (rel_str(esk23_0))).
% 9.21/1.60  cnf(i_0_307, plain, (strict_rel_str(esk13_0))).
% 9.21/1.60  cnf(i_0_310, plain, (strict_rel_str(esk14_0))).
% 9.21/1.60  cnf(i_0_322, plain, (strict_rel_str(esk17_0))).
% 9.21/1.60  cnf(i_0_331, plain, (strict_rel_str(esk18_0))).
% 9.21/1.60  cnf(i_0_337, plain, (strict_rel_str(esk19_0))).
% 9.21/1.60  cnf(i_0_116, plain, (latt_str(esk5_0))).
% 9.21/1.60  cnf(i_0_259, plain, (latt_str(esk9_0))).
% 9.21/1.60  cnf(i_0_272, plain, (latt_str(esk10_0))).
% 9.21/1.60  cnf(i_0_286, plain, (latt_str(esk11_0))).
% 9.21/1.60  cnf(i_0_302, plain, (latt_str(esk12_0))).
% 9.21/1.60  cnf(i_0_358, plain, (latt_str(esk24_0))).
% 9.21/1.60  cnf(i_0_365, plain, (latt_str(esk27_0))).
% 9.21/1.60  cnf(i_0_375, plain, (latt_str(esk28_0))).
% 9.21/1.60  cnf(i_0_257, plain, (strict_latt_str(esk9_0))).
% 9.21/1.60  cnf(i_0_270, plain, (strict_latt_str(esk10_0))).
% 9.21/1.60  cnf(i_0_284, plain, (strict_latt_str(esk11_0))).
% 9.21/1.60  cnf(i_0_300, plain, (strict_latt_str(esk12_0))).
% 9.21/1.60  cnf(i_0_357, plain, (strict_latt_str(esk24_0))).
% 9.21/1.60  cnf(i_0_363, plain, (strict_latt_str(esk27_0))).
% 9.21/1.60  cnf(i_0_373, plain, (strict_latt_str(esk28_0))).
% 9.21/1.60  cnf(i_0_250, plain, (lattice(esk9_0))).
% 9.21/1.60  cnf(i_0_263, plain, (lattice(esk10_0))).
% 9.21/1.60  cnf(i_0_277, plain, (lattice(esk11_0))).
% 9.21/1.60  cnf(i_0_293, plain, (lattice(esk12_0))).
% 9.21/1.60  cnf(i_0_366, plain, (lattice(esk28_0))).
% 9.21/1.60  cnf(i_0_256, plain, (join_commutative(esk9_0))).
% 9.21/1.60  cnf(i_0_269, plain, (join_commutative(esk10_0))).
% 9.21/1.60  cnf(i_0_283, plain, (join_commutative(esk11_0))).
% 9.21/1.60  cnf(i_0_299, plain, (join_commutative(esk12_0))).
% 9.21/1.60  cnf(i_0_372, plain, (join_commutative(esk28_0))).
% 9.21/1.60  cnf(i_0_255, plain, (join_associative(esk9_0))).
% 9.21/1.60  cnf(i_0_268, plain, (join_associative(esk10_0))).
% 9.21/1.60  cnf(i_0_282, plain, (join_associative(esk11_0))).
% 9.21/1.60  cnf(i_0_298, plain, (join_associative(esk12_0))).
% 9.21/1.60  cnf(i_0_371, plain, (join_associative(esk28_0))).
% 9.21/1.60  cnf(i_0_254, plain, (meet_commutative(esk9_0))).
% 9.21/1.60  cnf(i_0_267, plain, (meet_commutative(esk10_0))).
% 9.21/1.60  cnf(i_0_281, plain, (meet_commutative(esk11_0))).
% 9.21/1.60  cnf(i_0_297, plain, (meet_commutative(esk12_0))).
% 9.21/1.60  cnf(i_0_370, plain, (meet_commutative(esk28_0))).
% 9.21/1.60  cnf(i_0_253, plain, (meet_associative(esk9_0))).
% 9.21/1.60  cnf(i_0_266, plain, (meet_associative(esk10_0))).
% 9.21/1.60  cnf(i_0_280, plain, (meet_associative(esk11_0))).
% 9.21/1.60  cnf(i_0_296, plain, (meet_associative(esk12_0))).
% 9.21/1.60  cnf(i_0_369, plain, (meet_associative(esk28_0))).
% 9.21/1.60  cnf(i_0_252, plain, (meet_absorbing(esk9_0))).
% 9.21/1.60  cnf(i_0_265, plain, (meet_absorbing(esk10_0))).
% 9.21/1.60  cnf(i_0_279, plain, (meet_absorbing(esk11_0))).
% 9.21/1.60  cnf(i_0_295, plain, (meet_absorbing(esk12_0))).
% 9.21/1.60  cnf(i_0_368, plain, (meet_absorbing(esk28_0))).
% 9.21/1.60  cnf(i_0_251, plain, (join_absorbing(esk9_0))).
% 9.21/1.60  cnf(i_0_264, plain, (join_absorbing(esk10_0))).
% 9.21/1.60  cnf(i_0_278, plain, (join_absorbing(esk11_0))).
% 9.21/1.60  cnf(i_0_294, plain, (join_absorbing(esk12_0))).
% 9.21/1.60  cnf(i_0_367, plain, (join_absorbing(esk28_0))).
% 9.21/1.60  cnf(i_0_247, plain, (lower_bounded_semilattstr(esk9_0))).
% 9.21/1.60  cnf(i_0_262, plain, (lower_bounded_semilattstr(esk10_0))).
% 9.21/1.60  cnf(i_0_276, plain, (lower_bounded_semilattstr(esk11_0))).
% 9.21/1.60  cnf(i_0_291, plain, (lower_bounded_semilattstr(esk12_0))).
% 9.21/1.60  cnf(i_0_246, plain, (upper_bounded_semilattstr(esk9_0))).
% 9.21/1.60  cnf(i_0_261, plain, (upper_bounded_semilattstr(esk10_0))).
% 9.21/1.60  cnf(i_0_275, plain, (upper_bounded_semilattstr(esk11_0))).
% 9.21/1.60  cnf(i_0_290, plain, (upper_bounded_semilattstr(esk12_0))).
% 9.21/1.60  cnf(i_0_260, plain, (bounded_lattstr(esk10_0))).
% 9.21/1.60  cnf(i_0_274, plain, (bounded_lattstr(esk11_0))).
% 9.21/1.60  cnf(i_0_289, plain, (bounded_lattstr(esk12_0))).
% 9.21/1.60  cnf(i_0_318, plain, (with_suprema_relstr(esk17_0))).
% 9.21/1.60  cnf(i_0_327, plain, (with_suprema_relstr(esk18_0))).
% 9.21/1.60  cnf(i_0_351, plain, (with_suprema_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_303, plain, (complete_relstr(esk13_0))).
% 9.21/1.60  cnf(i_0_316, plain, (complete_relstr(esk17_0))).
% 9.21/1.60  cnf(i_0_325, plain, (complete_relstr(esk18_0))).
% 9.21/1.60  cnf(i_0_349, plain, (complete_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_317, plain, (with_infima_relstr(esk17_0))).
% 9.21/1.60  cnf(i_0_326, plain, (with_infima_relstr(esk18_0))).
% 9.21/1.60  cnf(i_0_350, plain, (with_infima_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_306, plain, (reflexive_relstr(esk13_0))).
% 9.21/1.60  cnf(i_0_321, plain, (reflexive_relstr(esk17_0))).
% 9.21/1.60  cnf(i_0_330, plain, (reflexive_relstr(esk18_0))).
% 9.21/1.60  cnf(i_0_336, plain, (reflexive_relstr(esk19_0))).
% 9.21/1.60  cnf(i_0_354, plain, (reflexive_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_315, plain, (trivial_carrier(esk17_0))).
% 9.21/1.60  cnf(i_0_305, plain, (transitive_relstr(esk13_0))).
% 9.21/1.60  cnf(i_0_320, plain, (transitive_relstr(esk17_0))).
% 9.21/1.60  cnf(i_0_329, plain, (transitive_relstr(esk18_0))).
% 9.21/1.60  cnf(i_0_335, plain, (transitive_relstr(esk19_0))).
% 9.21/1.60  cnf(i_0_353, plain, (transitive_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_304, plain, (antisymmetric_relstr(esk13_0))).
% 9.21/1.60  cnf(i_0_319, plain, (antisymmetric_relstr(esk17_0))).
% 9.21/1.60  cnf(i_0_328, plain, (antisymmetric_relstr(esk18_0))).
% 9.21/1.60  cnf(i_0_334, plain, (antisymmetric_relstr(esk19_0))).
% 9.21/1.60  cnf(i_0_352, plain, (antisymmetric_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_346, plain, (bounded_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_348, plain, (lower_bounded_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_347, plain, (upper_bounded_relstr(esk23_0))).
% 9.21/1.60  cnf(i_0_287, plain, (boolean_lattstr(esk12_0))).
% 9.21/1.60  cnf(i_0_249, plain, (distributive_lattstr(esk9_0))).
% 9.21/1.60  cnf(i_0_292, plain, (distributive_lattstr(esk12_0))).
% 9.21/1.60  cnf(i_0_273, plain, (complemented_lattstr(esk11_0))).
% 9.21/1.60  cnf(i_0_288, plain, (complemented_lattstr(esk12_0))).
% 9.21/1.60  cnf(i_0_248, plain, (modular_lattstr(esk9_0))).
% 9.21/1.60  cnf(i_0_112, plain, (meet_semilatt_str(esk1_0))).
% 9.21/1.60  cnf(i_0_114, plain, (one_sorted_str(esk3_0))).
% 9.21/1.60  cnf(i_0_360, plain, (one_sorted_str(esk25_0))).
% 9.21/1.60  cnf(i_0_115, plain, (join_semilatt_str(esk4_0))).
% 9.21/1.60  cnf(i_0_143, plain, (empty(empty_set))).
% 9.21/1.60  cnf(i_0_314, plain, (empty(esk16_0))).
% 9.21/1.60  cnf(i_0_258, plain, (~empty_carrier(esk9_0))).
% 9.21/1.60  cnf(i_0_271, plain, (~empty_carrier(esk10_0))).
% 9.21/1.60  cnf(i_0_285, plain, (~empty_carrier(esk11_0))).
% 9.21/1.60  cnf(i_0_301, plain, (~empty_carrier(esk12_0))).
% 9.21/1.60  cnf(i_0_308, plain, (~empty_carrier(esk13_0))).
% 9.21/1.60  cnf(i_0_323, plain, (~empty_carrier(esk17_0))).
% 9.21/1.60  cnf(i_0_332, plain, (~empty_carrier(esk18_0))).
% 9.21/1.60  cnf(i_0_338, plain, (~empty_carrier(esk19_0))).
% 9.21/1.60  cnf(i_0_355, plain, (~empty_carrier(esk23_0))).
% 9.21/1.60  cnf(i_0_359, plain, (~empty_carrier(esk25_0))).
% 9.21/1.60  cnf(i_0_364, plain, (~empty_carrier(esk27_0))).
% 9.21/1.60  cnf(i_0_374, plain, (~empty_carrier(esk28_0))).
% 9.21/1.60  cnf(i_0_345, plain, (~empty(esk22_0))).
% 9.21/1.60  cnf(i_0_398, plain, (X1=empty_set|~empty(X1))).
% 9.21/1.60  cnf(i_0_73, plain, (latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_74, plain, (strict_latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_135, plain, (strict_latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_137, plain, (strict_latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_161, plain, (strict_latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_191, plain, (strict_latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_128, plain, (lattice(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_154, plain, (lattice(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_184, plain, (lattice(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_120, plain, (complete_latt_str(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_134, plain, (join_commutative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_160, plain, (join_commutative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_190, plain, (join_commutative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_133, plain, (join_associative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_159, plain, (join_associative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_189, plain, (join_associative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_132, plain, (meet_commutative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_158, plain, (meet_commutative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_188, plain, (meet_commutative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_131, plain, (meet_associative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_157, plain, (meet_associative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_187, plain, (meet_associative(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_130, plain, (meet_absorbing(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_156, plain, (meet_absorbing(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_186, plain, (meet_absorbing(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_129, plain, (join_absorbing(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_155, plain, (join_absorbing(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_185, plain, (join_absorbing(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_125, plain, (lower_bounded_semilattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_181, plain, (lower_bounded_semilattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_124, plain, (upper_bounded_semilattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_180, plain, (upper_bounded_semilattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_123, plain, (bounded_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_179, plain, (bounded_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_121, plain, (boolean_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_177, plain, (boolean_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_127, plain, (distributive_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_183, plain, (distributive_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_122, plain, (complemented_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_178, plain, (complemented_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_126, plain, (modular_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_182, plain, (modular_lattstr(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_343, plain, (empty(esk21_1(X1)))).
% 9.21/1.60  cnf(i_0_100, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 9.21/1.60  cnf(i_0_96, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 9.21/1.60  cnf(i_0_95, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_98, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_99, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 9.21/1.60  cnf(i_0_383, plain, (subset(X1,X1))).
% 9.21/1.60  cnf(i_0_402, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 9.21/1.60  cnf(i_0_136, plain, (~empty_carrier(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_138, plain, (~empty_carrier(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_162, plain, (~empty_carrier(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_192, plain, (~empty_carrier(boole_lattice(X1)))).
% 9.21/1.60  cnf(i_0_142, plain, (~empty(powerset(X1)))).
% 9.21/1.60  cnf(i_0_168, plain, (~empty(singleton(X1)))).
% 9.21/1.60  cnf(i_0_111, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_106, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_43, plain, (lower_bounded_relstr(X1)|~rel_str(X1)|~bounded_relstr(X1))).
% 9.21/1.60  cnf(i_0_42, plain, (upper_bounded_relstr(X1)|~rel_str(X1)|~bounded_relstr(X1))).
% 9.21/1.60  cnf(i_0_118, plain, (element(esk7_1(X1),X1))).
% 9.21/1.60  cnf(i_0_312, plain, (empty(X1)|~empty(esk15_1(X1)))).
% 9.21/1.60  cnf(i_0_15, plain, (~rel_str(X1)|~empty_carrier(X1)|~with_suprema_relstr(X1))).
% 9.21/1.60  cnf(i_0_27, plain, (~rel_str(X1)|~empty_carrier(X1)|~with_infima_relstr(X1))).
% 9.21/1.60  cnf(i_0_90, plain, (rel_str(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_91, plain, (strict_rel_str(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_228, plain, (strict_rel_str(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_239, plain, (strict_rel_str(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_232, plain, (with_suprema_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_230, plain, (complete_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_231, plain, (with_infima_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_227, plain, (reflexive_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_238, plain, (reflexive_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_226, plain, (transitive_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_237, plain, (transitive_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_225, plain, (antisymmetric_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_236, plain, (antisymmetric_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_233, plain, (bounded_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_235, plain, (lower_bounded_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_234, plain, (upper_bounded_relstr(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_21, plain, (empty_carrier(X1)|join_commutative(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_20, plain, (empty_carrier(X1)|join_associative(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_19, plain, (empty_carrier(X1)|meet_commutative(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_18, plain, (empty_carrier(X1)|meet_associative(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_17, plain, (empty_carrier(X1)|meet_absorbing(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_16, plain, (empty_carrier(X1)|join_absorbing(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_40, plain, (empty_carrier(X1)|lower_bounded_semilattstr(X1)|~latt_str(X1)|~bounded_lattstr(X1))).
% 9.21/1.60  cnf(i_0_47, plain, (empty_carrier(X1)|lower_bounded_semilattstr(X1)|~latt_str(X1)|~boolean_lattstr(X1))).
% 9.21/1.60  cnf(i_0_39, plain, (empty_carrier(X1)|upper_bounded_semilattstr(X1)|~latt_str(X1)|~bounded_lattstr(X1))).
% 9.21/1.60  cnf(i_0_46, plain, (empty_carrier(X1)|upper_bounded_semilattstr(X1)|~latt_str(X1)|~boolean_lattstr(X1))).
% 9.21/1.60  cnf(i_0_45, plain, (empty_carrier(X1)|bounded_lattstr(X1)|~latt_str(X1)|~boolean_lattstr(X1))).
% 9.21/1.60  cnf(i_0_25, plain, (empty_carrier(X1)|with_suprema_relstr(X1)|~rel_str(X1)|~complete_relstr(X1))).
% 9.21/1.60  cnf(i_0_24, plain, (empty_carrier(X1)|with_infima_relstr(X1)|~rel_str(X1)|~complete_relstr(X1))).
% 9.21/1.60  cnf(i_0_37, plain, (empty_carrier(X1)|bounded_relstr(X1)|~rel_str(X1)|~complete_relstr(X1))).
% 9.21/1.60  cnf(i_0_48, plain, (empty_carrier(X1)|distributive_lattstr(X1)|~latt_str(X1)|~boolean_lattstr(X1))).
% 9.21/1.60  cnf(i_0_44, plain, (empty_carrier(X1)|complemented_lattstr(X1)|~latt_str(X1)|~boolean_lattstr(X1))).
% 9.21/1.60  cnf(i_0_50, plain, (bounded_relstr(X1)|~rel_str(X1)|~lower_bounded_relstr(X1)|~upper_bounded_relstr(X1))).
% 9.21/1.60  cnf(i_0_344, plain, (element(esk21_1(X1),powerset(X1)))).
% 9.21/1.60  cnf(i_0_376, plain, (relation_of_lattice(X1)=k2_lattice3(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_62, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 9.21/1.60  cnf(i_0_141, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_361, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk26_1(X1)))).
% 9.21/1.60  cnf(i_0_85, plain, (empty_carrier(X1)|rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_89, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_152, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_211, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_148, plain, (empty_carrier(X1)|with_suprema_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_94, plain, (empty_carrier(X1)|relation(relation_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_147, plain, (empty_carrier(X1)|with_infima_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_88, plain, (empty_carrier(X1)|reflexive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_151, plain, (empty_carrier(X1)|reflexive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_210, plain, (empty_carrier(X1)|reflexive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_87, plain, (empty_carrier(X1)|transitive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_150, plain, (empty_carrier(X1)|transitive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_209, plain, (empty_carrier(X1)|transitive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_86, plain, (empty_carrier(X1)|antisymmetric_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_149, plain, (empty_carrier(X1)|antisymmetric_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_208, plain, (empty_carrier(X1)|antisymmetric_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_82, plain, (empty_carrier(X1)|reflexive(k2_lattice3(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_81, plain, (empty_carrier(X1)|antisymmetric(k2_lattice3(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_80, plain, (empty_carrier(X1)|transitive(k2_lattice3(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_399, plain, (~empty(X2)|~in(X1,X2))).
% 9.21/1.60  cnf(i_0_341, plain, (relation(esk20_2(X1,X2)))).
% 9.21/1.60  cnf(i_0_340, plain, (function(esk20_2(X1,X2)))).
% 9.21/1.60  cnf(i_0_13, plain, (empty_carrier(X1)|join_commutative(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_60, plain, (empty_carrier(X1)|join_commutative(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_12, plain, (empty_carrier(X1)|join_associative(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_59, plain, (empty_carrier(X1)|join_associative(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_11, plain, (empty_carrier(X1)|meet_commutative(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_58, plain, (empty_carrier(X1)|meet_commutative(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_10, plain, (empty_carrier(X1)|meet_associative(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_57, plain, (empty_carrier(X1)|meet_associative(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_9, plain, (empty_carrier(X1)|meet_absorbing(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_56, plain, (empty_carrier(X1)|meet_absorbing(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_8, plain, (empty_carrier(X1)|join_absorbing(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_55, plain, (empty_carrier(X1)|join_absorbing(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_6, plain, (empty_carrier(X1)|lower_bounded_semilattstr(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_5, plain, (empty_carrier(X1)|upper_bounded_semilattstr(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_4, plain, (empty_carrier(X1)|bounded_lattstr(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_35, plain, (empty_carrier(X1)|bounded_lattstr(X1)|~latt_str(X1)|~lower_bounded_semilattstr(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_30, plain, (empty_carrier(X1)|complete_relstr(X1)|~rel_str(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1))).
% 9.21/1.60  cnf(i_0_32, plain, (empty_carrier(X1)|transitive_relstr(X1)|~rel_str(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1))).
% 9.21/1.60  cnf(i_0_31, plain, (empty_carrier(X1)|antisymmetric_relstr(X1)|~rel_str(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1))).
% 9.21/1.60  cnf(i_0_53, plain, (empty_carrier(X1)|modular_lattstr(X1)|~latt_str(X1)|~lattice(X1)|~distributive_lattstr(X1))).
% 9.21/1.60  cnf(i_0_313, plain, (empty(X1)|element(esk15_1(X1),powerset(X1)))).
% 9.21/1.60  cnf(i_0_153, plain, (empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~empty_carrier(poset_of_lattice(X1)))).
% 9.21/1.60  cnf(i_0_212, plain, (empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~empty_carrier(poset_of_lattice(X1)))).
% 9.21/1.60  cnf(i_0_229, plain, (~empty_carrier(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_240, plain, (~empty_carrier(poset_of_lattice(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_223, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_206, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_175, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_216, plain, (empty_carrier(X1)|with_suprema_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_201, plain, (empty_carrier(X1)|with_suprema_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_170, plain, (empty_carrier(X1)|with_suprema_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_214, plain, (empty_carrier(X1)|complete_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_215, plain, (empty_carrier(X1)|with_infima_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_200, plain, (empty_carrier(X1)|with_infima_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_169, plain, (empty_carrier(X1)|with_infima_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_222, plain, (empty_carrier(X1)|reflexive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_205, plain, (empty_carrier(X1)|reflexive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_174, plain, (empty_carrier(X1)|reflexive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_221, plain, (empty_carrier(X1)|transitive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_204, plain, (empty_carrier(X1)|transitive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_173, plain, (empty_carrier(X1)|transitive_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_220, plain, (empty_carrier(X1)|antisymmetric_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_203, plain, (empty_carrier(X1)|antisymmetric_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_172, plain, (empty_carrier(X1)|antisymmetric_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_217, plain, (empty_carrier(X1)|bounded_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_219, plain, (empty_carrier(X1)|lower_bounded_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_202, plain, (empty_carrier(X1)|lower_bounded_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_218, plain, (empty_carrier(X1)|upper_bounded_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1))).
% 9.21/1.60  cnf(i_0_171, plain, (empty_carrier(X1)|upper_bounded_relstr(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1))).
% 9.21/1.60  cnf(i_0_386, plain, (element(X1,X2)|~in(X1,X2))).
% 9.21/1.60  cnf(i_0_51, plain, (empty_carrier(X1)|boolean_lattstr(X1)|~latt_str(X1)|~bounded_lattstr(X1)|~distributive_lattstr(X1)|~complemented_lattstr(X1))).
% 9.21/1.60  cnf(i_0_167, plain, (relation(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))).
% 9.21/1.60  cnf(i_0_166, plain, (reflexive(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))).
% 9.21/1.60  cnf(i_0_165, plain, (antisymmetric(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))).
% 9.21/1.60  cnf(i_0_164, plain, (transitive(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))).
% 9.21/1.60  cnf(i_0_389, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 9.21/1.60  cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~rel_str(X1)|~strict_rel_str(X1))).
% 9.21/1.60  cnf(i_0_224, plain, (empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1)|~empty_carrier(poset_of_lattice(X1)))).
% 9.21/1.60  cnf(i_0_207, plain, (empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~empty_carrier(poset_of_lattice(X1)))).
% 9.21/1.60  cnf(i_0_176, plain, (empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~empty_carrier(poset_of_lattice(X1)))).
% 9.21/1.60  cnf(i_0_394, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 9.21/1.60  cnf(i_0_393, negated_conjecture, (element(esk30_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0)))))).
% 9.21/1.60  cnf(i_0_392, negated_conjecture, (element(esk31_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0)))))).
% 9.21/1.60  cnf(i_0_3, plain, (~in(X2,X1)|~in(X1,X2))).
% 9.21/1.60  cnf(i_0_395, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 9.21/1.60  cnf(i_0_199, plain, (~empty(unordered_pair(X1,X2)))).
% 9.21/1.60  cnf(i_0_63, plain, (rel_str_of(the_carrier(X1),k2_lattice3(X1))=poset_of_lattice(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_362, plain, (empty_carrier(X1)|element(esk26_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 9.21/1.60  cnf(i_0_213, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 9.21/1.60  cnf(i_0_28, plain, (empty_carrier(X1)|lattice(X1)|~latt_str(X1)|~join_commutative(X1)|~join_associative(X1)|~meet_commutative(X1)|~meet_associative(X1)|~meet_absorbing(X1)|~join_absorbing(X1))).
% 9.21/1.60  cnf(i_0_397, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 9.21/1.60  cnf(i_0_65, plain, (cast_to_el_of_LattPOSet(X1,X2)=X2|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_396, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 9.21/1.60  cnf(i_0_390, negated_conjecture, (subset(esk30_0,esk31_0)|related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0))).
% 9.21/1.60  cnf(i_0_107, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 9.21/1.60  cnf(i_0_117, plain, (relation_of2(esk6_2(X1,X2),X1,X2))).
% 9.21/1.60  cnf(i_0_342, plain, (relation_of2(esk20_2(X1,X2),X1,X2))).
% 9.21/1.60  cnf(i_0_119, plain, (relation_of2_as_subset(esk8_2(X1,X2),X1,X2))).
% 9.21/1.60  cnf(i_0_2, plain, (latt_str_of(the_carrier(X1),the_L_join(X1),the_L_meet(X1))=X1|~latt_str(X1)|~strict_latt_str(X1))).
% 9.21/1.60  cnf(i_0_79, plain, (empty_carrier(X1)|v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_78, plain, (empty_carrier(X1)|relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|~latt_str(X1)|~lattice(X1))).
% 9.21/1.60  cnf(i_0_163, plain, (v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))).
% 9.21/1.60  cnf(i_0_92, plain, (empty_carrier(X1)|element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_69, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_70, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_23, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 9.21/1.60  cnf(i_0_391, negated_conjecture, (~subset(esk30_0,esk31_0)|~related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0))).
% 9.21/1.60  cnf(i_0_139, plain, (empty(X1)|strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_110, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_105, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_109, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_104, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 9.21/1.60  cnf(i_0_241, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 9.21/1.60  cnf(i_0_242, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 9.21/1.60  cnf(i_0_385, plain, (empty_carrier(X1)|related_reflexive(X1,X2,X2)|~rel_str(X1)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_140, plain, (empty(X1)|~relation_of2(X2,X1,X1)|~empty_carrier(rel_str_of(X1,X2)))).
% 9.21/1.60  cnf(i_0_378, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 9.21/1.60  cnf(i_0_377, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 9.21/1.60  cnf(i_0_145, plain, (strict_rel_str(rel_str_of(singleton(X1),X2))|~relation_of2(X2,singleton(X1),singleton(X1)))).
% 9.21/1.60  cnf(i_0_144, plain, (trivial_carrier(rel_str_of(singleton(X1),X2))|~relation_of2(X2,singleton(X1),singleton(X1)))).
% 9.21/1.60  cnf(i_0_384, plain, (empty_carrier(X1)|below_refl(X1,X2,X2)|~latt_str(X1)|~meet_commutative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_103, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 9.21/1.60  cnf(i_0_146, plain, (~empty_carrier(rel_str_of(singleton(X1),X2))|~relation_of2(X2,singleton(X1),singleton(X1)))).
% 9.21/1.60  cnf(i_0_387, plain, (below(boole_lattice(X3),X1,X2)|~subset(X1,X2)|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3))))).
% 9.21/1.60  cnf(i_0_388, plain, (subset(X2,X3)|~below(boole_lattice(X1),X2,X3)|~element(X3,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1))))).
% 9.21/1.60  cnf(i_0_198, plain, (strict_rel_str(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~relation_of2(X2,X1,X1)|~v1_partfun1(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_197, plain, (reflexive_relstr(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~relation_of2(X2,X1,X1)|~v1_partfun1(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_196, plain, (transitive_relstr(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~relation_of2(X2,X1,X1)|~v1_partfun1(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_195, plain, (antisymmetric_relstr(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~relation_of2(X2,X1,X1)|~v1_partfun1(X2,X1,X1))).
% 9.21/1.60  cnf(i_0_382, plain, (empty_carrier(X1)|related(X1,X2,X3)|~rel_str(X1)|~reflexive_relstr(X1)|~related_reflexive(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_381, plain, (empty_carrier(X1)|related_reflexive(X1,X2,X3)|~rel_str(X1)|~reflexive_relstr(X1)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_379, plain, (empty_carrier(X1)|below_refl(X1,X2,X3)|~latt_str(X1)|~meet_commutative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~below(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_380, plain, (empty_carrier(X1)|below(X1,X2,X3)|~latt_str(X1)|~meet_commutative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~below_refl(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_68, plain, (in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1))|~rel_str(X1)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_401, plain, (empty_carrier(X1)|related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|~latt_str(X1)|~lattice(X1)|~below_refl(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 9.21/1.60  cnf(i_0_67, plain, (related(X3,X1,X2)|~rel_str(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3)))).
% 9.21/1.60  cnf(i_0_400, plain, (empty_carrier(X1)|below_refl(X1,X2,X3)|~latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))).
% 9.21/1.60  cnf(i_0_71, plain, (latt_str(latt_str_of(X1,X2,X3))|~function(X3)|~function(X2)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1))).
% 9.21/1.60  cnf(i_0_72, plain, (strict_latt_str(latt_str_of(X1,X2,X3))|~function(X3)|~function(X2)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1))).
% 9.21/1.60  cnf(i_0_193, plain, (empty(X1)|strict_latt_str(latt_str_of(X1,X2,X3))|~function(X3)|~function(X2)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1))).
% 9.21/1.60  cnf(i_0_243, plain, (X1=X2|latt_str_of(X3,X4,X1)!=latt_str_of(X5,X6,X2)|~function(X4)|~function(X1)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3))).
% 9.21/1.60  cnf(i_0_244, plain, (X1=X2|latt_str_of(X3,X1,X4)!=latt_str_of(X5,X2,X6)|~function(X4)|~function(X1)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3))).
% 9.21/1.60  cnf(i_0_245, plain, (X1=X2|latt_str_of(X1,X3,X4)!=latt_str_of(X2,X5,X6)|~function(X4)|~function(X3)|~relation_of2(X4,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X4,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1))).
% 9.21/1.60  cnf(i_0_194, plain, (empty(X1)|~function(X3)|~function(X2)|~empty_carrier(latt_str_of(X1,X2,X3))|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1))).
% 9.21/1.60  cnf(i_0_6934, plain, (X181=X181)).
% 9.21/1.60  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 9.21/1.60  # Begin printing tableau
% 9.21/1.60  # Found 5 steps
% 9.21/1.60  cnf(i_0_6934, plain, (rel_str_of(X3,esk6_2(X3,X3))=rel_str_of(X3,esk6_2(X3,X3))), inference(start_rule)).
% 9.21/1.60  cnf(i_0_7934, plain, (rel_str_of(X3,esk6_2(X3,X3))=rel_str_of(X3,esk6_2(X3,X3))), inference(extension_rule, [i_0_241])).
% 9.21/1.60  cnf(i_0_8481, plain, (~relation_of2(esk6_2(X3,X3),X3,X3)), inference(closure_rule, [i_0_117])).
% 9.21/1.60  cnf(i_0_8479, plain, (esk6_2(X3,X3)=esk6_2(X3,X3)), inference(extension_rule, [i_0_6940])).
% 9.21/1.60  cnf(i_0_25074, plain, (the_carrier(esk6_2(X3,X3))=the_carrier(esk6_2(X3,X3))), inference(etableau_closure_rule, [i_0_25074, ...])).
% 9.21/1.60  # End printing tableau
% 9.21/1.60  # SZS output end
% 9.21/1.60  # Branches closed with saturation will be marked with an "s"
% 9.21/1.61  # Creating equality axioms
% 9.21/1.61  # Ran out of tableaux, making start rules for all clauses
% 9.21/1.61  # Creating equality axioms
% 9.21/1.61  # Ran out of tableaux, making start rules for all clauses
% 9.21/1.62  # Child (13909) has found a proof.
% 9.21/1.62  
% 9.21/1.62  # Proof search is over...
% 9.21/1.62  # Freeing feature tree
%------------------------------------------------------------------------------