TSTP Solution File: SEU098+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU098+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n010.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 09:23:48 EDT 2022
% Result : Theorem 0.22s 0.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU098+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 23:27:08 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.39 # No SInE strategy applied
% 0.22/0.39 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.22/0.39 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.22/0.39 #
% 0.22/0.39 # Presaturation interreduction done
% 0.22/0.39 # Number of axioms: 172 Number of unprocessed: 159
% 0.22/0.39 # Tableaux proof search.
% 0.22/0.39 # APR header successfully linked.
% 0.22/0.39 # Hello from C++
% 0.22/0.39 # The folding up rule is enabled...
% 0.22/0.39 # Local unification is enabled...
% 0.22/0.39 # Any saturation attempts will use folding labels...
% 0.22/0.39 # 159 beginning clauses after preprocessing and clausification
% 0.22/0.39 # Creating start rules for all 4 conjectures.
% 0.22/0.39 # There are 4 start rule candidates:
% 0.22/0.39 # Found 100 unit axioms.
% 0.22/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.22/0.39 # 4 start rule tableaux created.
% 0.22/0.39 # 59 extension rule candidate clauses
% 0.22/0.39 # 100 unit axiom clauses
% 0.22/0.39
% 0.22/0.39 # Requested 8, 32 cores available to the main process.
% 0.22/0.39 # There are not enough tableaux to fork, creating more from the initial 4
% 0.22/0.39 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.22/0.39 # We now have 14 tableaux to operate on
% 0.22/0.42 # There were 2 total branch saturation attempts.
% 0.22/0.42 # There were 0 of these attempts blocked.
% 0.22/0.42 # There were 0 deferred branch saturation attempts.
% 0.22/0.42 # There were 0 free duplicated saturations.
% 0.22/0.42 # There were 2 total successful branch saturations.
% 0.22/0.42 # There were 0 successful branch saturations in interreduction.
% 0.22/0.42 # There were 0 successful branch saturations on the branch.
% 0.22/0.42 # There were 2 successful branch saturations after the branch.
% 0.22/0.42 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 # Begin clausification derivation
% 0.22/0.42
% 0.22/0.42 # End clausification derivation
% 0.22/0.42 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.42 cnf(i_0_168, negated_conjecture, (function(esk30_0))).
% 0.22/0.42 cnf(i_0_169, negated_conjecture, (relation(esk30_0))).
% 0.22/0.42 cnf(i_0_71, plain, (finite(esk5_0))).
% 0.22/0.42 cnf(i_0_49, plain, (function(empty_set))).
% 0.22/0.42 cnf(i_0_74, plain, (function(esk6_0))).
% 0.22/0.42 cnf(i_0_76, plain, (function(esk7_0))).
% 0.22/0.42 cnf(i_0_105, plain, (function(esk15_0))).
% 0.22/0.42 cnf(i_0_44, plain, (ordinal(empty_set))).
% 0.22/0.42 cnf(i_0_67, plain, (ordinal(esk4_0))).
% 0.22/0.42 cnf(i_0_113, plain, (function(esk16_0))).
% 0.22/0.42 cnf(i_0_117, plain, (function(esk17_0))).
% 0.22/0.42 cnf(i_0_134, plain, (function(esk23_0))).
% 0.22/0.42 cnf(i_0_145, plain, (function(esk27_0))).
% 0.22/0.42 cnf(i_0_149, plain, (function(esk28_0))).
% 0.22/0.42 cnf(i_0_151, plain, (function(esk29_0))).
% 0.22/0.42 cnf(i_0_38, plain, (relation(empty_set))).
% 0.22/0.42 cnf(i_0_78, plain, (ordinal(esk8_0))).
% 0.22/0.42 cnf(i_0_82, plain, (ordinal(esk9_0))).
% 0.22/0.42 cnf(i_0_75, plain, (relation(esk6_0))).
% 0.22/0.42 cnf(i_0_77, plain, (relation(esk7_0))).
% 0.22/0.42 cnf(i_0_85, plain, (relation(esk10_0))).
% 0.22/0.42 cnf(i_0_107, plain, (relation(esk15_0))).
% 0.22/0.42 cnf(i_0_114, plain, (relation(esk16_0))).
% 0.22/0.42 cnf(i_0_90, plain, (ordinal(esk13_0))).
% 0.22/0.42 cnf(i_0_108, plain, (ordinal(esk16_0))).
% 0.22/0.42 cnf(i_0_118, plain, (relation(esk17_0))).
% 0.22/0.42 cnf(i_0_119, plain, (relation(esk18_0))).
% 0.22/0.42 cnf(i_0_135, plain, (relation(esk23_0))).
% 0.22/0.42 cnf(i_0_141, plain, (relation(esk25_0))).
% 0.22/0.42 cnf(i_0_147, plain, (relation(esk27_0))).
% 0.22/0.42 cnf(i_0_150, plain, (relation(esk28_0))).
% 0.22/0.42 cnf(i_0_153, plain, (relation(esk29_0))).
% 0.22/0.42 cnf(i_0_125, plain, (ordinal(esk21_0))).
% 0.22/0.42 cnf(i_0_136, plain, (ordinal(esk24_0))).
% 0.22/0.42 cnf(i_0_95, plain, (finite(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_101, plain, (function(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_46, plain, (epsilon_transitive(empty_set))).
% 0.22/0.42 cnf(i_0_69, plain, (epsilon_transitive(esk4_0))).
% 0.22/0.42 cnf(i_0_80, plain, (epsilon_transitive(esk8_0))).
% 0.22/0.42 cnf(i_0_84, plain, (epsilon_transitive(esk9_0))).
% 0.22/0.42 cnf(i_0_92, plain, (epsilon_transitive(esk13_0))).
% 0.22/0.42 cnf(i_0_102, plain, (relation(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_110, plain, (epsilon_transitive(esk16_0))).
% 0.22/0.42 cnf(i_0_45, plain, (epsilon_connected(empty_set))).
% 0.22/0.42 cnf(i_0_109, plain, (epsilon_connected(esk16_0))).
% 0.22/0.42 cnf(i_0_127, plain, (epsilon_transitive(esk21_0))).
% 0.22/0.42 cnf(i_0_138, plain, (epsilon_transitive(esk24_0))).
% 0.22/0.42 cnf(i_0_68, plain, (epsilon_connected(esk4_0))).
% 0.22/0.42 cnf(i_0_79, plain, (epsilon_connected(esk8_0))).
% 0.22/0.42 cnf(i_0_83, plain, (epsilon_connected(esk9_0))).
% 0.22/0.42 cnf(i_0_39, plain, (empty(empty_set))).
% 0.22/0.42 cnf(i_0_91, plain, (epsilon_connected(esk13_0))).
% 0.22/0.42 cnf(i_0_126, plain, (epsilon_connected(esk21_0))).
% 0.22/0.42 cnf(i_0_137, plain, (epsilon_connected(esk24_0))).
% 0.22/0.42 cnf(i_0_86, plain, (empty(esk10_0))).
% 0.22/0.42 cnf(i_0_89, plain, (empty(esk12_0))).
% 0.22/0.42 cnf(i_0_106, plain, (empty(esk15_0))).
% 0.22/0.42 cnf(i_0_111, plain, (empty(esk16_0))).
% 0.22/0.42 cnf(i_0_48, plain, (one_to_one(empty_set))).
% 0.22/0.42 cnf(i_0_112, plain, (one_to_one(esk16_0))).
% 0.22/0.42 cnf(i_0_128, plain, (empty(esk21_0))).
% 0.22/0.42 cnf(i_0_66, plain, (natural(esk4_0))).
% 0.22/0.42 cnf(i_0_124, plain, (natural(esk21_0))).
% 0.22/0.42 cnf(i_0_133, plain, (one_to_one(esk23_0))).
% 0.22/0.42 cnf(i_0_37, plain, (relation_empty_yielding(empty_set))).
% 0.22/0.42 cnf(i_0_116, plain, (transfinite_sequence(esk17_0))).
% 0.22/0.42 cnf(i_0_148, plain, (transfinite_sequence(esk28_0))).
% 0.22/0.42 cnf(i_0_152, plain, (relation_non_empty(esk29_0))).
% 0.22/0.42 cnf(i_0_140, plain, (relation_empty_yielding(esk25_0))).
% 0.22/0.42 cnf(i_0_146, plain, (relation_empty_yielding(esk27_0))).
% 0.22/0.42 cnf(i_0_73, plain, (function_yielding(esk6_0))).
% 0.22/0.42 cnf(i_0_81, plain, (being_limit_ordinal(esk9_0))).
% 0.22/0.42 cnf(i_0_158, plain, (subset(X1,X1))).
% 0.22/0.42 cnf(i_0_115, plain, (ordinal_yielding(esk17_0))).
% 0.22/0.42 cnf(i_0_28, plain, (function(first_projection(X1,X2)))).
% 0.22/0.42 cnf(i_0_29, plain, (relation(first_projection(X1,X2)))).
% 0.22/0.42 cnf(i_0_94, plain, (element(esk13_0,positive_rationals))).
% 0.22/0.42 cnf(i_0_129, plain, (element(esk21_0,positive_rationals))).
% 0.22/0.42 cnf(i_0_97, plain, (ordinal(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_99, plain, (epsilon_transitive(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_98, plain, (epsilon_connected(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_103, plain, (empty(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_121, plain, (empty(esk19_1(X1)))).
% 0.22/0.42 cnf(i_0_96, plain, (natural(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_100, plain, (one_to_one(esk14_1(X1)))).
% 0.22/0.42 cnf(i_0_35, plain, (element(esk2_1(X1),X1))).
% 0.22/0.42 cnf(i_0_104, plain, (element(esk14_1(X1),powerset(X1)))).
% 0.22/0.42 cnf(i_0_122, plain, (element(esk19_1(X1),powerset(X1)))).
% 0.22/0.42 cnf(i_0_34, plain, (relation_of2(esk1_2(X1,X2),X1,X2))).
% 0.22/0.42 cnf(i_0_36, plain, (relation_of2_as_subset(esk3_2(X1,X2),X1,X2))).
% 0.22/0.42 cnf(i_0_31, plain, (quasi_total(first_projection(X1,X2),cartesian_product2(X1,X2),X1))).
% 0.22/0.42 cnf(i_0_30, plain, (relation_of2_as_subset(first_projection(X1,X2),cartesian_product2(X1,X2),X1))).
% 0.22/0.42 cnf(i_0_72, plain, (~empty(esk5_0))).
% 0.22/0.42 cnf(i_0_120, plain, (~empty(esk18_0))).
% 0.22/0.42 cnf(i_0_63, plain, (~empty(positive_rationals))).
% 0.22/0.42 cnf(i_0_70, plain, (~empty(esk4_0))).
% 0.22/0.42 cnf(i_0_93, plain, (~empty(esk13_0))).
% 0.22/0.42 cnf(i_0_123, plain, (~empty(esk20_0))).
% 0.22/0.42 cnf(i_0_139, plain, (~empty(esk24_0))).
% 0.22/0.42 cnf(i_0_42, plain, (~empty(powerset(X1)))).
% 0.22/0.42 cnf(i_0_166, negated_conjecture, (finite(relation_dom(esk30_0))|finite(esk30_0))).
% 0.22/0.42 cnf(i_0_167, negated_conjecture, (~finite(relation_dom(esk30_0))|~finite(esk30_0))).
% 0.22/0.42 cnf(i_0_5, plain, (finite(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_6, plain, (function(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_9, plain, (relation(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_61, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.22/0.42 cnf(i_0_175, plain, (X1=empty_set|~empty(X1))).
% 0.22/0.42 cnf(i_0_165, plain, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1)))).
% 0.22/0.42 cnf(i_0_20, plain, (ordinal(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.22/0.42 cnf(i_0_22, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.22/0.42 cnf(i_0_21, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_130, plain, (finite(esk22_1(X1))|empty(X1))).
% 0.22/0.42 cnf(i_0_142, plain, (finite(esk26_1(X1))|empty(X1))).
% 0.22/0.42 cnf(i_0_177, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.22/0.42 cnf(i_0_62, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.22/0.42 cnf(i_0_64, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.22/0.42 cnf(i_0_160, plain, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 0.22/0.42 cnf(i_0_65, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.22/0.42 cnf(i_0_41, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 0.22/0.42 cnf(i_0_16, plain, (one_to_one(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_87, plain, (empty(X1)|~empty(esk11_1(X1)))).
% 0.22/0.42 cnf(i_0_19, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.22/0.42 cnf(i_0_131, plain, (empty(X1)|~empty(esk22_1(X1)))).
% 0.22/0.42 cnf(i_0_143, plain, (empty(X1)|~empty(esk26_1(X1)))).
% 0.22/0.42 cnf(i_0_58, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.22/0.42 cnf(i_0_40, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 0.22/0.42 cnf(i_0_163, plain, (element(X1,X2)|~in(X1,X2))).
% 0.22/0.42 cnf(i_0_176, plain, (~empty(X1)|~in(X2,X1))).
% 0.22/0.42 cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))).
% 0.22/0.42 cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))).
% 0.22/0.42 cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))).
% 0.22/0.42 cnf(i_0_55, plain, (ordinal(relation_dom(X1))|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.22/0.42 cnf(i_0_57, plain, (epsilon_transitive(relation_dom(X1))|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.22/0.42 cnf(i_0_56, plain, (epsilon_connected(relation_dom(X1))|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.22/0.42 cnf(i_0_11, plain, (natural(X1)|~empty(X1))).
% 0.22/0.42 cnf(i_0_60, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.22/0.42 cnf(i_0_171, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.22/0.42 cnf(i_0_15, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 0.22/0.42 cnf(i_0_172, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.22/0.42 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.22/0.42 cnf(i_0_88, plain, (empty(X1)|element(esk11_1(X1),powerset(X1)))).
% 0.22/0.42 cnf(i_0_132, plain, (empty(X1)|element(esk22_1(X1),powerset(X1)))).
% 0.22/0.42 cnf(i_0_144, plain, (empty(X1)|element(esk26_1(X1),powerset(X1)))).
% 0.22/0.42 cnf(i_0_59, plain, (with_non_empty_elements(relation_rng(X1))|~relation_non_empty(X1)|~relation(X1)|~function(X1))).
% 0.22/0.42 cnf(i_0_157, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.22/0.42 cnf(i_0_23, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))).
% 0.22/0.42 cnf(i_0_156, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.22/0.42 cnf(i_0_170, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.22/0.42 cnf(i_0_54, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 0.22/0.42 cnf(i_0_10, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.22/0.42 cnf(i_0_164, plain, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 0.22/0.42 cnf(i_0_33, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.22/0.42 cnf(i_0_173, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.22/0.42 cnf(i_0_154, plain, (function_image(X1,X2,X3,X4)=relation_image(X3,X4)|~relation_of2(X3,X1,X2)|~quasi_total(X3,X1,X2)|~function(X3))).
% 0.22/0.42 cnf(i_0_174, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 0.22/0.42 cnf(i_0_159, plain, (function_image(cartesian_product2(relation_dom(X1),relation_rng(X1)),relation_dom(X1),first_projection(relation_dom(X1),relation_rng(X1)),X1)=relation_dom(X1)|~relation(X1)|~function(X1))).
% 0.22/0.42 cnf(i_0_27, plain, (element(function_image(X1,X2,X3,X4),powerset(X2))|~relation_of2(X3,X1,X2)|~quasi_total(X3,X1,X2)|~function(X3))).
% 0.22/0.42 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.22/0.42 # Begin printing tableau
% 0.22/0.42 # Found 8 steps
% 0.22/0.42 cnf(i_0_166, negated_conjecture, (finite(relation_dom(esk30_0))|finite(esk30_0)), inference(start_rule)).
% 0.22/0.42 cnf(i_0_180, plain, (finite(relation_dom(esk30_0))), inference(extension_rule, [i_0_160])).
% 0.22/0.42 cnf(i_0_519, plain, (finite(relation_dom(esk30_0))), inference(extension_rule, [i_0_165])).
% 0.22/0.42 cnf(i_0_520, plain, (~subset(relation_dom(esk30_0),relation_dom(esk30_0))), inference(closure_rule, [i_0_158])).
% 0.22/0.42 cnf(i_0_645, plain, (~relation(esk30_0)), inference(closure_rule, [i_0_169])).
% 0.22/0.42 cnf(i_0_646, plain, (~function(esk30_0)), inference(closure_rule, [i_0_168])).
% 0.22/0.42 cnf(i_0_181, plain, (finite(esk30_0)), inference(etableau_closure_rule, [i_0_181, ...])).
% 0.22/0.42 cnf(i_0_644, plain, (finite(relation_rng(esk30_0))), inference(etableau_closure_rule, [i_0_644, ...])).
% 0.22/0.42 # End printing tableau
% 0.22/0.42 # SZS output end
% 0.22/0.42 # Branches closed with saturation will be marked with an "s"
% 0.22/0.43 # Child (20894) has found a proof.
% 0.22/0.43
% 0.22/0.43 # Proof search is over...
% 0.22/0.43 # Freeing feature tree
%------------------------------------------------------------------------------