TSTP Solution File: NUM412+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM412+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 : n008.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 : Mon Jul 18 09:40:46 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % 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 : n008.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 : Wed Jul 6 19:13:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.37 # No SInE strategy applied
% 0.19/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.19/0.37 # and selection function SelectCQArNTNpEqFirst.
% 0.19/0.37 #
% 0.19/0.37 # Presaturation interreduction done
% 0.19/0.37 # Number of axioms: 95 Number of unprocessed: 87
% 0.19/0.37 # Tableaux proof search.
% 0.19/0.37 # APR header successfully linked.
% 0.19/0.37 # Hello from C++
% 0.19/0.37 # The folding up rule is enabled...
% 0.19/0.37 # Local unification is enabled...
% 0.19/0.37 # Any saturation attempts will use folding labels...
% 0.19/0.37 # 87 beginning clauses after preprocessing and clausification
% 0.19/0.37 # Creating start rules for all 3 conjectures.
% 0.19/0.37 # There are 3 start rule candidates:
% 0.19/0.37 # Found 53 unit axioms.
% 0.19/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.37 # 3 start rule tableaux created.
% 0.19/0.37 # 34 extension rule candidate clauses
% 0.19/0.37 # 53 unit axiom clauses
% 0.19/0.37
% 0.19/0.37 # Requested 8, 32 cores available to the main process.
% 0.19/0.37 # There are not enough tableaux to fork, creating more from the initial 3
% 0.19/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.37 # We now have 11 tableaux to operate on
% 0.19/0.38 # There were 1 total branch saturation attempts.
% 0.19/0.38 # There were 0 of these attempts blocked.
% 0.19/0.38 # There were 0 deferred branch saturation attempts.
% 0.19/0.38 # There were 0 free duplicated saturations.
% 0.19/0.38 # There were 1 total successful branch saturations.
% 0.19/0.38 # There were 0 successful branch saturations in interreduction.
% 0.19/0.38 # There were 0 successful branch saturations on the branch.
% 0.19/0.38 # There were 1 successful branch saturations after the branch.
% 0.19/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 # Begin clausification derivation
% 0.19/0.38
% 0.19/0.38 # End clausification derivation
% 0.19/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38 cnf(i_0_91, negated_conjecture, (ordinal(esk19_0))).
% 0.19/0.38 cnf(i_0_92, negated_conjecture, (transfinite_sequence_of(esk18_0,esk17_0))).
% 0.19/0.38 cnf(i_0_28, plain, (ordinal(empty_set))).
% 0.19/0.38 cnf(i_0_46, plain, (ordinal(esk4_0))).
% 0.19/0.38 cnf(i_0_24, plain, (empty(empty_set))).
% 0.19/0.38 cnf(i_0_55, plain, (ordinal(esk8_0))).
% 0.19/0.38 cnf(i_0_68, plain, (ordinal(esk12_0))).
% 0.19/0.38 cnf(i_0_50, plain, (empty(esk5_0))).
% 0.19/0.38 cnf(i_0_51, plain, (empty(esk6_0))).
% 0.19/0.38 cnf(i_0_53, plain, (empty(esk7_0))).
% 0.19/0.38 cnf(i_0_58, plain, (empty(esk8_0))).
% 0.19/0.38 cnf(i_0_33, plain, (function(empty_set))).
% 0.19/0.38 cnf(i_0_44, plain, (function(esk3_0))).
% 0.19/0.38 cnf(i_0_52, plain, (function(esk7_0))).
% 0.19/0.38 cnf(i_0_60, plain, (function(esk8_0))).
% 0.19/0.38 cnf(i_0_66, plain, (function(esk11_0))).
% 0.19/0.38 cnf(i_0_74, plain, (function(esk14_0))).
% 0.19/0.38 cnf(i_0_78, plain, (function(esk15_0))).
% 0.19/0.38 cnf(i_0_80, plain, (function(esk16_0))).
% 0.19/0.38 cnf(i_0_30, plain, (epsilon_transitive(empty_set))).
% 0.19/0.38 cnf(i_0_48, plain, (epsilon_transitive(esk4_0))).
% 0.19/0.38 cnf(i_0_57, plain, (epsilon_transitive(esk8_0))).
% 0.19/0.38 cnf(i_0_70, plain, (epsilon_transitive(esk12_0))).
% 0.19/0.38 cnf(i_0_29, plain, (epsilon_connected(empty_set))).
% 0.19/0.38 cnf(i_0_47, plain, (epsilon_connected(esk4_0))).
% 0.19/0.38 cnf(i_0_56, plain, (epsilon_connected(esk8_0))).
% 0.19/0.38 cnf(i_0_69, plain, (epsilon_connected(esk12_0))).
% 0.19/0.38 cnf(i_0_23, plain, (relation(empty_set))).
% 0.19/0.38 cnf(i_0_45, plain, (relation(esk3_0))).
% 0.19/0.38 cnf(i_0_49, plain, (relation(esk5_0))).
% 0.19/0.38 cnf(i_0_54, plain, (relation(esk7_0))).
% 0.19/0.38 cnf(i_0_61, plain, (relation(esk8_0))).
% 0.19/0.38 cnf(i_0_62, plain, (relation(esk9_0))).
% 0.19/0.38 cnf(i_0_67, plain, (relation(esk11_0))).
% 0.19/0.38 cnf(i_0_73, plain, (relation(esk13_0))).
% 0.19/0.38 cnf(i_0_76, plain, (relation(esk14_0))).
% 0.19/0.38 cnf(i_0_79, plain, (relation(esk15_0))).
% 0.19/0.38 cnf(i_0_82, plain, (relation(esk16_0))).
% 0.19/0.38 cnf(i_0_32, plain, (one_to_one(empty_set))).
% 0.19/0.38 cnf(i_0_59, plain, (one_to_one(esk8_0))).
% 0.19/0.38 cnf(i_0_65, plain, (one_to_one(esk11_0))).
% 0.19/0.38 cnf(i_0_77, plain, (transfinite_sequence(esk15_0))).
% 0.19/0.38 cnf(i_0_22, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.38 cnf(i_0_72, plain, (relation_empty_yielding(esk13_0))).
% 0.19/0.38 cnf(i_0_75, plain, (relation_empty_yielding(esk14_0))).
% 0.19/0.38 cnf(i_0_81, plain, (relation_non_empty(esk16_0))).
% 0.19/0.38 cnf(i_0_84, plain, (subset(X1,X1))).
% 0.19/0.38 cnf(i_0_20, plain, (transfinite_sequence_of(esk1_1(X1),X1))).
% 0.19/0.38 cnf(i_0_21, plain, (element(esk2_1(X1),X1))).
% 0.19/0.38 cnf(i_0_90, negated_conjecture, (~transfinite_sequence_of(tseq_dom_restriction(esk18_0,esk19_0),esk17_0))).
% 0.19/0.38 cnf(i_0_63, plain, (~empty(esk9_0))).
% 0.19/0.38 cnf(i_0_64, plain, (~empty(esk10_0))).
% 0.19/0.38 cnf(i_0_71, plain, (~empty(esk12_0))).
% 0.19/0.38 cnf(i_0_96, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.38 cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.38 cnf(i_0_95, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.38 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.38 cnf(i_0_18, plain, (function(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_19, plain, (relation(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.19/0.38 cnf(i_0_17, plain, (transfinite_sequence(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_97, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.38 cnf(i_0_85, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.38 cnf(i_0_41, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.19/0.38 cnf(i_0_43, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.19/0.38 cnf(i_0_42, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.19/0.38 cnf(i_0_88, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.38 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_16, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 0.19/0.38 cnf(i_0_87, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.38 cnf(i_0_40, plain, (with_non_empty_elements(relation_rng(X1))|~relation_non_empty(X1)|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_86, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.38 cnf(i_0_94, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.38 cnf(i_0_36, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_25, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 0.19/0.38 cnf(i_0_89, plain, (transfinite_sequence_of(X1,X2)|~subset(X3,X2)|~transfinite_sequence_of(X1,X3))).
% 0.19/0.38 cnf(i_0_13, plain, (transfinite_sequence_of(X1,X2)|~subset(relation_rng(X1),X2)|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_83, plain, (tseq_dom_restriction(X1,X2)=relation_dom_restriction(X1,X2)|~transfinite_sequence(X1)|~relation(X1)|~ordinal(X2)|~function(X1))).
% 0.19/0.38 cnf(i_0_15, plain, (transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))|~transfinite_sequence(X1)|~relation(X1)|~ordinal(X2)|~function(X1))).
% 0.19/0.38 cnf(i_0_14, plain, (subset(relation_rng(X1),X2)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_93, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.38 # Begin printing tableau
% 0.19/0.38 # Found 7 steps
% 0.19/0.38 cnf(i_0_91, negated_conjecture, (ordinal(esk19_0)), inference(start_rule)).
% 0.19/0.38 cnf(i_0_100, plain, (ordinal(esk19_0)), inference(extension_rule, [i_0_15])).
% 0.19/0.38 cnf(i_0_356, plain, (~transfinite_sequence(esk15_0)), inference(closure_rule, [i_0_77])).
% 0.19/0.38 cnf(i_0_357, plain, (~relation(esk15_0)), inference(closure_rule, [i_0_79])).
% 0.19/0.38 cnf(i_0_359, plain, (~function(esk15_0)), inference(closure_rule, [i_0_78])).
% 0.19/0.38 cnf(i_0_355, plain, (transfinite_sequence_of(tseq_dom_restriction(esk15_0,esk19_0),relation_rng(esk15_0))), inference(extension_rule, [i_0_18])).
% 0.19/0.38 cnf(i_0_383, plain, (function(tseq_dom_restriction(esk15_0,esk19_0))), inference(etableau_closure_rule, [i_0_383, ...])).
% 0.19/0.38 # End printing tableau
% 0.19/0.38 # SZS output end
% 0.19/0.38 # Branches closed with saturation will be marked with an "s"
% 0.19/0.38 # There were 1 total branch saturation attempts.
% 0.19/0.38 # There were 0 of these attempts blocked.
% 0.19/0.38 # There were 0 deferred branch saturation attempts.
% 0.19/0.38 # There were 0 free duplicated saturations.
% 0.19/0.38 # There were 1 total successful branch saturations.
% 0.19/0.38 # There were 0 successful branch saturations in interreduction.
% 0.19/0.38 # There were 0 successful branch saturations on the branch.
% 0.19/0.38 # There were 1 successful branch saturations after the branch.
% 0.19/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 # Begin clausification derivation
% 0.19/0.38
% 0.19/0.38 # End clausification derivation
% 0.19/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38 cnf(i_0_91, negated_conjecture, (ordinal(esk19_0))).
% 0.19/0.38 cnf(i_0_92, negated_conjecture, (transfinite_sequence_of(esk18_0,esk17_0))).
% 0.19/0.38 cnf(i_0_28, plain, (ordinal(empty_set))).
% 0.19/0.38 cnf(i_0_46, plain, (ordinal(esk4_0))).
% 0.19/0.38 cnf(i_0_24, plain, (empty(empty_set))).
% 0.19/0.38 cnf(i_0_55, plain, (ordinal(esk8_0))).
% 0.19/0.38 cnf(i_0_68, plain, (ordinal(esk12_0))).
% 0.19/0.38 cnf(i_0_50, plain, (empty(esk5_0))).
% 0.19/0.38 cnf(i_0_51, plain, (empty(esk6_0))).
% 0.19/0.38 cnf(i_0_53, plain, (empty(esk7_0))).
% 0.19/0.38 cnf(i_0_58, plain, (empty(esk8_0))).
% 0.19/0.38 cnf(i_0_33, plain, (function(empty_set))).
% 0.19/0.38 cnf(i_0_44, plain, (function(esk3_0))).
% 0.19/0.38 cnf(i_0_52, plain, (function(esk7_0))).
% 0.19/0.38 cnf(i_0_60, plain, (function(esk8_0))).
% 0.19/0.38 cnf(i_0_66, plain, (function(esk11_0))).
% 0.19/0.38 cnf(i_0_74, plain, (function(esk14_0))).
% 0.19/0.38 cnf(i_0_78, plain, (function(esk15_0))).
% 0.19/0.38 cnf(i_0_80, plain, (function(esk16_0))).
% 0.19/0.38 cnf(i_0_30, plain, (epsilon_transitive(empty_set))).
% 0.19/0.38 cnf(i_0_48, plain, (epsilon_transitive(esk4_0))).
% 0.19/0.38 cnf(i_0_57, plain, (epsilon_transitive(esk8_0))).
% 0.19/0.38 cnf(i_0_70, plain, (epsilon_transitive(esk12_0))).
% 0.19/0.38 cnf(i_0_29, plain, (epsilon_connected(empty_set))).
% 0.19/0.38 cnf(i_0_47, plain, (epsilon_connected(esk4_0))).
% 0.19/0.38 cnf(i_0_56, plain, (epsilon_connected(esk8_0))).
% 0.19/0.38 cnf(i_0_69, plain, (epsilon_connected(esk12_0))).
% 0.19/0.38 cnf(i_0_23, plain, (relation(empty_set))).
% 0.19/0.38 cnf(i_0_45, plain, (relation(esk3_0))).
% 0.19/0.38 cnf(i_0_49, plain, (relation(esk5_0))).
% 0.19/0.38 cnf(i_0_54, plain, (relation(esk7_0))).
% 0.19/0.38 cnf(i_0_61, plain, (relation(esk8_0))).
% 0.19/0.38 cnf(i_0_62, plain, (relation(esk9_0))).
% 0.19/0.38 cnf(i_0_67, plain, (relation(esk11_0))).
% 0.19/0.38 cnf(i_0_73, plain, (relation(esk13_0))).
% 0.19/0.38 cnf(i_0_76, plain, (relation(esk14_0))).
% 0.19/0.38 cnf(i_0_79, plain, (relation(esk15_0))).
% 0.19/0.38 cnf(i_0_82, plain, (relation(esk16_0))).
% 0.19/0.38 cnf(i_0_32, plain, (one_to_one(empty_set))).
% 0.19/0.38 cnf(i_0_59, plain, (one_to_one(esk8_0))).
% 0.19/0.38 cnf(i_0_65, plain, (one_to_one(esk11_0))).
% 0.19/0.38 cnf(i_0_77, plain, (transfinite_sequence(esk15_0))).
% 0.19/0.38 cnf(i_0_22, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.38 cnf(i_0_72, plain, (relation_empty_yielding(esk13_0))).
% 0.19/0.38 cnf(i_0_75, plain, (relation_empty_yielding(esk14_0))).
% 0.19/0.38 cnf(i_0_81, plain, (relation_non_empty(esk16_0))).
% 0.19/0.38 cnf(i_0_84, plain, (subset(X1,X1))).
% 0.19/0.38 cnf(i_0_20, plain, (transfinite_sequence_of(esk1_1(X1),X1))).
% 0.19/0.38 cnf(i_0_21, plain, (element(esk2_1(X1),X1))).
% 0.19/0.38 cnf(i_0_90, negated_conjecture, (~transfinite_sequence_of(tseq_dom_restriction(esk18_0,esk19_0),esk17_0))).
% 0.19/0.38 cnf(i_0_63, plain, (~empty(esk9_0))).
% 0.19/0.38 cnf(i_0_64, plain, (~empty(esk10_0))).
% 0.19/0.38 cnf(i_0_71, plain, (~empty(esk12_0))).
% 0.19/0.38 cnf(i_0_96, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.38 cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.38 cnf(i_0_95, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.38 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.38 cnf(i_0_18, plain, (function(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_19, plain, (relation(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.19/0.38 cnf(i_0_17, plain, (transfinite_sequence(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_97, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.38 cnf(i_0_85, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.38 cnf(i_0_41, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.19/0.38 cnf(i_0_43, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.19/0.38 cnf(i_0_42, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.19/0.38 cnf(i_0_88, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.38 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_16, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 0.19/0.38 cnf(i_0_87, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.38 cnf(i_0_40, plain, (with_non_empty_elem# There were 1 total branch saturation attempts.
% 0.19/0.38 # There were 0 of these attempts blocked.
% 0.19/0.38 # There were 0 deferred branch saturation attempts.
% 0.19/0.38 # There were 0 free duplicated saturations.
% 0.19/0.38 # There were 1 total successful branch saturations.
% 0.19/0.38 # There were 0 successful branch saturations in interreduction.
% 0.19/0.38 # There were 0 successful branch saturations on the branch.
% 0.19/0.38 # There were 1 successful branch saturations after the branch.
% 0.19/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 # Begin clausification derivation
% 0.19/0.38
% 0.19/0.38 # End clausification derivation
% 0.19/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38 cnf(i_0_91, negated_conjecture, (ordinal(esk19_0))).
% 0.19/0.38 cnf(i_0_92, negated_conjecture, (transfinite_sequence_of(esk18_0,esk17_0))).
% 0.19/0.38 cnf(i_0_28, plain, (ordinal(empty_set))).
% 0.19/0.38 cnf(i_0_46, plain, (ordinal(esk4_0))).
% 0.19/0.38 cnf(i_0_24, plain, (empty(empty_set))).
% 0.19/0.38 cnf(i_0_55, plain, (ordinal(esk8_0))).
% 0.19/0.38 cnf(i_0_68, plain, (ordinal(esk12_0))).
% 0.19/0.38 cnf(i_0_50, plain, (empty(esk5_0))).
% 0.19/0.38 cnf(i_0_51, plain, (empty(esk6_0))).
% 0.19/0.38 cnf(i_0_53, plain, (empty(esk7_0))).
% 0.19/0.38 cnf(i_0_58, plain, (empty(esk8_0))).
% 0.19/0.38 cnf(i_0_33, plain, (function(empty_set))).
% 0.19/0.38 cnf(i_0_44, plain, (function(esk3_0))).
% 0.19/0.38 cnf(i_0_52, plain, (function(esk7_0))).
% 0.19/0.38 cnf(i_0_60, plain, (function(esk8_0))).
% 0.19/0.38 cnf(i_0_66, plain, (function(esk11_0))).
% 0.19/0.38 cnf(i_0_74, plain, (function(esk14_0))).
% 0.19/0.38 cnf(i_0_78, plain, (function(esk15_0))).
% 0.19/0.38 cnf(i_0_80, plain, (function(esk16_0))).
% 0.19/0.38 cnf(i_0_30, plain, (epsilon_transitive(empty_set))).
% 0.19/0.38 cnf(i_0_48, plain, (epsilon_transitive(esk4_0))).
% 0.19/0.38 cnf(i_0_57, plain, (epsilon_transitive(esk8_0))).
% 0.19/0.38 cnf(i_0_70, plain, (epsilon_transitive(esk12_0))).
% 0.19/0.38 cnf(i_0_29, plain, (epsilon_connected(empty_set))).
% 0.19/0.38 cnf(i_0_47, plain, (epsilon_connected(esk4_0))).
% 0.19/0.38 cnf(i_0_56, plain, (epsilon_connected(esk8_0))).
% 0.19/0.38 cnf(i_0_69, plain, (epsilon_connected(esk12_0))).
% 0.19/0.38 cnf(i_0_23, plain, (relation(empty_set))).
% 0.19/0.38 cnf(i_0_45, plain, (relation(esk3_0))).
% 0.19/0.38 cnf(i_0_49, plain, (relation(esk5_0))).
% 0.19/0.38 cnf(i_0_54, plain, (relation(esk7_0))).
% 0.19/0.38 cnf(i_0_61, plain, (relation(esk8_0))).
% 0.19/0.38 cnf(i_0_62, plain, (relation(esk9_0))).
% 0.19/0.38 cnf(i_0_67, plain, (relation(esk11_0))).
% 0.19/0.38 cnf(i_0_73, plain, (relation(esk13_0))).
% 0.19/0.38 cnf(i_0_76, plain, (relation(esk14_0))).
% 0.19/0.38 cnf(i_0_79, plain, (relation(esk15_0))).
% 0.19/0.38 cnf(i_0_82, plain, (relation(esk16_0))).
% 0.19/0.38 cnf(i_0_32, plain, (one_to_one(empty_set))).
% 0.19/0.38 cnf(i_0_59, plain, (one_to_one(esk8_0))).
% 0.19/0.38 cnf(i_0_65, plain, (one_to_one(esk11_0))).
% 0.19/0.38 cnf(i_0_77, plain, (transfinite_sequence(esk15_0))).
% 0.19/0.38 cnf(i_0_22, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.38 cnf(i_0_72, plain, (relation_empty_yielding(esk13_0))).
% 0.19/0.38 cnf(i_0_75, plain, (relation_empty_yielding(esk14_0))).
% 0.19/0.38 cnf(i_0_81, plain, (relation_non_empty(esk16_0))).
% 0.19/0.38 cnf(i_0_84, plain, (subset(X1,X1))).
% 0.19/0.38 cnf(i_0_20, plain, (transfinite_sequence_of(esk1_1(X1),X1))).
% 0.19/0.38 cnf(i_0_21, plain, (element(esk2_1(X1),X1))).
% 0.19/0.38 cnf(i_0_90, negated_conjecture, (~transfinite_sequence_of(tseq_dom_restriction(esk18_0,esk19_0),esk17_0))).
% 0.19/0.38 cnf(i_0_63, plain, (~empty(esk9_0))).
% 0.19/0.38 cnf(i_0_64, plain, (~empty(esk10_0))).
% 0.19/0.38 cnf(i_0_71, plain, (~empty(esk12_0))).
% 0.19/0.38 cnf(i_0_96, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.38 cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.38 cnf(i_0_95, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.38 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.38 cnf(i_0_18, plain, (function(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_19, plain, (relation(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.19/0.38 cnf(i_0_17, plain, (transfinite_sequence(X1)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_97, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.38 cnf(i_0_85, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.38 cnf(i_0_41, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.19/0.38 cnf(i_0_43, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.19/0.38 cnf(i_0_42, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.19/0.38 cnf(i_0_88, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.38 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.19/0.38 cnf(i_0_16, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 0.19/0.38 cnf(i_0_87, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.38 cnf(i_0_40, plain, (with_non_empty_elements(relation_rng(X1))|~relation_non_empty(X1)|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_86, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.38 cnf(i_0_94, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.38 cnf(i_0_36, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_25, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 0.19/0.38 cnf(i_0_89, plain, (transfinite_sequence_of(X1,X2)|~subset(X3,X2)|~transfinite_sequence_of(X1,X3))).
% 0.19/0.38 cnf(i_0_13, plain, (transfinite_sequence_of(X1,X2)|~subset(relation_rng(X1),X2)|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_83, plain, (tseq_dom_restriction(X1,X2)=relation_dom_restriction(X1,X2)|~transfinite_sequence(X1)|~relation(X1)|~ordinal(X2)|~function(X1))).
% 0.19/0.38 cnf(i_0_15, plain, (transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))|~transfinite_sequence(X1)|~relation(X1)|~ordinal(X2)|~function(X1))).
% 0.19/0.38 cnf(i_0_14, plain, (subset(relation_rng(X1),X2)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_93, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.38 # Begin printing tableau
% 0.19/0.38 # Found 5 steps
% 0.19/0.38 cnf(i_0_92, negated_conjecture, (transfinite_sequence_of(esk18_0,esk17_0)), inference(start_rule)).
% 0.19/0.38 cnf(i_0_99, plain, (transfinite_sequence_of(esk18_0,esk17_0)), inference(extension_rule, [i_0_89])).
% 0.19/0.38 cnf(i_0_254, plain, (transfinite_sequence_of(esk18_0,esk17_0)), inference(extension_rule, [i_0_18])).
% 0.19/0.38 cnf(i_0_255, plain, (~subset(esk17_0,esk17_0)), inference(closure_rule, [i_0_84])).
% 0.19/0.38 cnf(i_0_383, plain, (function(esk18_0)), inference(etableau_closure_rule, [i_0_383, ...])).
% 0.19/0.38 # End printing tableau
% 0.19/0.38 # SZS output end
% 0.19/0.38 # Branches closed with saturation will be marked with an "s"
% 0.19/0.38 ents(relation_rng(X1))|~relation_non_empty(X1)|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_86, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.38 cnf(i_0_94, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.38 cnf(i_0_36, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_25, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 0.19/0.38 cnf(i_0_89, plain, (transfinite_sequence_of(X1,X2)|~subset(X3,X2)|~transfinite_sequence_of(X1,X3))).
% 0.19/0.38 cnf(i_0_13, plain, (transfinite_sequence_of(X1,X2)|~subset(relation_rng(X1),X2)|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.19/0.38 cnf(i_0_83, plain, (tseq_dom_restriction(X1,X2)=relation_dom_restriction(X1,X2)|~transfinite_sequence(X1)|~relation(X1)|~ordinal(X2)|~function(X1))).
% 0.19/0.38 cnf(i_0_15, plain, (transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))|~transfinite_sequence(X1)|~relation(X1)|~ordinal(X2)|~function(X1))).
% 0.19/0.38 cnf(i_0_14, plain, (subset(relation_rng(X1),X2)|~transfinite_sequence_of(X1,X2))).
% 0.19/0.38 cnf(i_0_93, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.38 # Begin printing tableau
% 0.19/0.38 # Found 4 steps
% 0.19/0.38 cnf(i_0_92, negated_conjecture, (transfinite_sequence_of(esk18_0,esk17_0)), inference(start_rule)).
% 0.19/0.38 cnf(i_0_99, plain, (transfinite_sequence_of(esk18_0,esk17_0)), inference(extension_rule, [i_0_14])).
% 0.19/0.38 cnf(i_0_272, plain, (subset(relation_rng(esk18_0),esk17_0)), inference(extension_rule, [i_0_87])).
% 0.19/0.38 cnf(i_0_412, plain, (element(relation_rng(esk18_0),powerset(esk17_0))), inference(etableau_closure_rule, [i_0_412, ...])).
% 0.19/0.38 # End printing tableau
% 0.19/0.38 # SZS output end
% 0.19/0.38 # Branches closed with saturation will be marked with an "s"
% 0.19/0.38 # Child (11809) has found a proof.
% 0.19/0.38
% 0.19/0.38 # Proof search is over...
% 0.19/0.38 # Freeing feature tree
%------------------------------------------------------------------------------