TSTP Solution File: SEU290+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU290+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 : 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 : Tue Jul 19 09:25:32 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU290+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
% 0.12/0.33 % 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 : Sat Jun 18 23:24:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.12/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.37 #
% 0.12/0.37 # Number of axioms: 89 Number of unprocessed: 89
% 0.12/0.37 # Tableaux proof search.
% 0.12/0.37 # APR header successfully linked.
% 0.12/0.37 # Hello from C++
% 0.12/0.37 # The folding up rule is enabled...
% 0.12/0.37 # Local unification is enabled...
% 0.12/0.37 # Any saturation attempts will use folding labels...
% 0.12/0.37 # 89 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 6 conjectures.
% 0.12/0.37 # There are 6 start rule candidates:
% 0.12/0.37 # Found 49 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 6 start rule tableaux created.
% 0.12/0.37 # 40 extension rule candidate clauses
% 0.12/0.37 # 49 unit axiom clauses
% 0.12/0.37
% 0.12/0.37 # Requested 8, 32 cores available to the main process.
% 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 6
% 0.12/0.37 # Returning from population with 16 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 16 tableaux to operate on
% 0.19/0.47 # Creating equality axioms
% 0.19/0.47 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.47 # There were 1 total branch saturation attempts.
% 0.19/0.47 # There were 0 of these attempts blocked.
% 0.19/0.47 # There were 0 deferred branch saturation attempts.
% 0.19/0.47 # There were 0 free duplicated saturations.
% 0.19/0.47 # There were 1 total successful branch saturations.
% 0.19/0.47 # There were 0 successful branch saturations in interreduction.
% 0.19/0.47 # There were 0 successful branch saturations on the branch.
% 0.19/0.47 # There were 1 successful branch saturations after the branch.
% 0.19/0.47 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # Begin clausification derivation
% 0.19/0.47
% 0.19/0.47 # End clausification derivation
% 0.19/0.47 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.47 cnf(i_0_93, negated_conjecture, (esk22_0!=empty_set)).
% 0.19/0.47 cnf(i_0_35, plain, (empty(empty_set))).
% 0.19/0.47 cnf(i_0_37, plain, (empty(empty_set))).
% 0.19/0.47 cnf(i_0_39, plain, (empty(empty_set))).
% 0.19/0.47 cnf(i_0_53, plain, (empty(esk9_0))).
% 0.19/0.47 cnf(i_0_58, plain, (empty(esk10_0))).
% 0.19/0.47 cnf(i_0_61, plain, (empty(esk12_0))).
% 0.19/0.47 cnf(i_0_63, plain, (empty(esk13_0))).
% 0.19/0.47 cnf(i_0_47, plain, (function(esk7_0))).
% 0.19/0.47 cnf(i_0_55, plain, (function(esk9_0))).
% 0.19/0.47 cnf(i_0_62, plain, (function(esk13_0))).
% 0.19/0.47 cnf(i_0_74, plain, (function(esk18_0))).
% 0.19/0.47 cnf(i_0_78, plain, (function(esk20_0))).
% 0.19/0.47 cnf(i_0_97, negated_conjecture, (function(esk24_0))).
% 0.19/0.47 cnf(i_0_34, plain, (relation(empty_set))).
% 0.19/0.47 cnf(i_0_38, plain, (relation(empty_set))).
% 0.19/0.47 cnf(i_0_48, plain, (relation(esk7_0))).
% 0.19/0.47 cnf(i_0_56, plain, (relation(esk9_0))).
% 0.19/0.47 cnf(i_0_57, plain, (relation(esk10_0))).
% 0.19/0.47 cnf(i_0_64, plain, (relation(esk13_0))).
% 0.19/0.47 cnf(i_0_68, plain, (relation(esk15_0))).
% 0.19/0.47 cnf(i_0_75, plain, (relation(esk18_0))).
% 0.19/0.47 cnf(i_0_77, plain, (relation(esk19_0))).
% 0.19/0.47 cnf(i_0_80, plain, (relation(esk20_0))).
% 0.19/0.47 cnf(i_0_54, plain, (one_to_one(esk9_0))).
% 0.19/0.47 cnf(i_0_73, plain, (one_to_one(esk18_0))).
% 0.19/0.47 cnf(i_0_33, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.47 cnf(i_0_76, plain, (relation_empty_yielding(esk19_0))).
% 0.19/0.47 cnf(i_0_79, plain, (relation_empty_yielding(esk20_0))).
% 0.19/0.47 cnf(i_0_69, plain, (~empty(esk15_0))).
% 0.19/0.47 cnf(i_0_72, plain, (~empty(esk17_0))).
% 0.19/0.47 cnf(i_0_91, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.47 cnf(i_0_70, plain, (empty(esk16_1(X1)))).
% 0.19/0.47 cnf(i_0_94, negated_conjecture, (in(esk23_0,esk21_0))).
% 0.19/0.47 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.47 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 0.19/0.47 cnf(i_0_84, plain, (subset(X1,X1))).
% 0.19/0.47 cnf(i_0_99, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.47 cnf(i_0_36, plain, (~empty(powerset(X1)))).
% 0.19/0.47 cnf(i_0_46, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_44, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_45, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_43, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_31, plain, (element(esk5_1(X1),X1))).
% 0.19/0.47 cnf(i_0_59, plain, (empty(X1)|~empty(esk11_1(X1)))).
% 0.19/0.47 cnf(i_0_5, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 0.19/0.47 cnf(i_0_71, plain, (element(esk16_1(X1),powerset(X1)))).
% 0.19/0.47 cnf(i_0_42, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.19/0.47 cnf(i_0_41, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.19/0.47 cnf(i_0_98, plain, (~empty(X2)|~in(X1,X2))).
% 0.19/0.47 cnf(i_0_50, plain, (function(esk8_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_65, plain, (function(esk14_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_51, plain, (relation(esk8_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_66, plain, (relation(esk14_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_60, plain, (empty(X1)|element(esk11_1(X1),powerset(X1)))).
% 0.19/0.47 cnf(i_0_85, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.47 cnf(i_0_86, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.19/0.47 cnf(i_0_87, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.47 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.19/0.47 cnf(i_0_88, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.47 cnf(i_0_95, negated_conjecture, (relation_of2_as_subset(esk24_0,esk21_0,esk22_0))).
% 0.19/0.47 cnf(i_0_96, negated_conjecture, (quasi_total(esk24_0,esk21_0,esk22_0))).
% 0.19/0.47 cnf(i_0_40, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 0.19/0.47 cnf(i_0_92, negated_conjecture, (~in(apply(esk24_0,esk23_0),relation_rng(esk24_0)))).
% 0.19/0.47 cnf(i_0_90, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.47 cnf(i_0_89, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.47 cnf(i_0_32, plain, (relation_of2_as_subset(esk6_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_49, plain, (quasi_total(esk8_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_30, plain, (relation_of2(esk4_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_52, plain, (relation_of2(esk8_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_67, plain, (relation_of2(esk14_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_17, plain, (in(X3,X4)|X4!=relation_rng(X2)|X3!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 0.19/0.47 cnf(i_0_15, plain, (X2=relation_rng(X1# Creating equality axioms
% 0.19/0.47 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.47 )|in(esk2_2(X1,X2),X2)|in(esk3_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1))).
% 0.19/0.47 cnf(i_0_14, plain, (X2=relation_rng(X1)|apply(X1,esk3_2(X1,X2))=esk2_2(X1,X2)|in(esk2_2(X1,X2),X2)|~function(X1)|~relation(X1))).
% 0.19/0.47 cnf(i_0_4, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.19/0.47 cnf(i_0_82, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_83, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_81, plain, (relation_dom_as_subset(X2,X3,X1)=relation_dom(X1)|~relation_of2(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_8, plain, (X2=empty_set|quasi_total(X1,X2,X3)|X3!=empty_set|X1!=empty_set|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_29, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_16, plain, (X2=relation_rng(X1)|esk2_2(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~in(esk2_2(X1,X2),X2))).
% 0.19/0.47 cnf(i_0_18, plain, (apply(X2,esk1_3(X2,X3,X1))=X1|X3!=relation_rng(X2)|~function(X2)|~relation(X2)|~in(X1,X3))).
% 0.19/0.47 cnf(i_0_19, plain, (in(esk1_3(X1,X2,X3),relation_dom(X1))|X2!=relation_rng(X1)|~function(X1)|~relation(X1)|~in(X3,X2))).
% 0.19/0.47 cnf(i_0_9, plain, (X2=empty_set|X1=empty_set|X3!=empty_set|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_26, plain, (element(relation_dom_as_subset(X2,X3,X1),powerset(X2))|~relation_of2(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_13, plain, (X3=empty_set|relation_dom_as_subset(X2,X3,X1)=X2|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_12, plain, (X2=empty_set|quasi_total(X3,X1,X2)|relation_dom_as_subset(X1,X2,X3)!=X1|~relation_of2_as_subset(X3,X1,X2))).
% 0.19/0.47 cnf(i_0_11, plain, (relation_dom_as_subset(X2,X3,X1)=X2|X2!=empty_set|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_10, plain, (quasi_total(X3,X1,X2)|X1!=empty_set|relation_dom_as_subset(X1,X2,X3)!=X1|~relation_of2_as_subset(X3,X1,X2))).
% 0.19/0.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.47 # Begin printing tableau
% 0.19/0.47 # Found 4 steps
% 0.19/0.47 cnf(i_0_93, negated_conjecture, (esk22_0!=empty_set), inference(start_rule)).
% 0.19/0.47 cnf(i_0_105, plain, (esk22_0!=empty_set), inference(extension_rule, [i_0_91])).
% 0.19/0.47 cnf(i_0_476, plain, (~empty(esk22_0)), inference(extension_rule, [i_0_59])).
% 0.19/0.47 cnf(i_0_493, plain, (~empty(esk11_1(esk22_0))), inference(etableau_closure_rule, [i_0_493, ...])).
% 0.19/0.47 # End printing tableau
% 0.19/0.47 # SZS output end
% 0.19/0.47 # Branches closed with saturation will be marked with an "s"
% 0.19/0.47 # There were 1 total branch saturation attempts.
% 0.19/0.47 # There were 0 of these attempts blocked.
% 0.19/0.47 # There were 0 deferred branch saturation attempts.
% 0.19/0.47 # There were 0 free duplicated saturations.
% 0.19/0.47 # There were 1 total successful branch saturations.
% 0.19/0.47 # There were 0 successful branch saturations in interreduction.
% 0.19/0.47 # There were 0 successful branch saturations on the branch.
% 0.19/0.47 # There were 1 successful branch saturations after the branch.
% 0.19/0.47 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # Begin clausification derivation
% 0.19/0.47
% 0.19/0.47 # End clausification derivation
% 0.19/0.47 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.47 cnf(i_0_93, negated_conjecture, (esk22_0!=empty_set)).
% 0.19/0.47 cnf(i_0_35, plain, (empty(empty_set))).
% 0.19/0.47 cnf(i_0_37, plain, (empty(empty_set))).
% 0.19/0.47 cnf(i_0_39, plain, (empty(empty_set))).
% 0.19/0.47 cnf(i_0_53, plain, (empty(esk9_0))).
% 0.19/0.47 cnf(i_0_58, plain, (empty(esk10_0))).
% 0.19/0.47 cnf(i_0_61, plain, (empty(esk12_0))).
% 0.19/0.47 cnf(i_0_63, plain, (empty(esk13_0))).
% 0.19/0.47 cnf(i_0_47, plain, (function(esk7_0))).
% 0.19/0.47 cnf(i_0_55, plain, (function(esk9_0))).
% 0.19/0.47 cnf(i_0_62, plain, (function(esk13_0))).
% 0.19/0.47 cnf(i_0_74, plain, (function(esk18_0))).
% 0.19/0.47 cnf(i_0_78, plain, (function(esk20_0))).
% 0.19/0.47 cnf(i_0_97, negated_conjecture, (function(esk24_0))).
% 0.19/0.47 cnf(i_0_34, plain, (relation(empty_set))).
% 0.19/0.47 cnf(i_0_38, plain, (relation(empty_set))).
% 0.19/0.47 cnf(i_0_48, plain, (relation(esk7_0))).
% 0.19/0.47 cnf(i_0_56, plain, (relation(esk9_0))).
% 0.19/0.47 cnf(i_0_57, plain, (relation(esk10_0))).
% 0.19/0.47 cnf(i_0_64, plain, (relation(esk13_0))).
% 0.19/0.47 cnf(i_0_68, plain, (relation(esk15_0))).
% 0.19/0.47 cnf(i_0_75, plain, (relation(esk18_0))).
% 0.19/0.47 cnf(i_0_77, plain, (relation(esk19_0))).
% 0.19/0.47 cnf(i_0_80, plain, (relation(esk20_0))).
% 0.19/0.47 cnf(i_0_54, plain, (one_to_one(esk9_0))).
% 0.19/0.47 cnf(i_0_73, plain, (one_to_one(esk18_0))).
% 0.19/0.47 cnf(i_0_33, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.47 cnf(i_0_76, plain, (relation_empty_yielding(esk19_0))).
% 0.19/0.47 cnf(i_0_79, plain, (relation_empty_yielding(esk20_0))).
% 0.19/0.47 cnf(i_0_69, plain, (~empty(esk15_0))).
% 0.19/0.47 cnf(i_0_72, plain, (~empty(esk17_0))).
% 0.19/0.47 cnf(i_0_91, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.47 cnf(i_0_70, plain, (empty(esk16_1(X1)))).
% 0.19/0.47 cnf(i_0_94, negated_conjecture, (in(esk23_0,esk21_0))).
% 0.19/0.47 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.47 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 0.19/0.47 cnf(i_0_84, plain, (subset(X1,X1))).
% 0.19/0.47 cnf(i_0_99, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.47 cnf(i_0_36, plain, (~empty(powerset(X1)))).
% 0.19/0.47 cnf(i_0_46, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_44, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_45, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_43, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.19/0.47 cnf(i_0_31, plain, (element(esk5_1(X1),X1))).
% 0.19/0.47 cnf(i_0_59, plain, (empty(X1)|~empty(esk11_1(X1)))).
% 0.19/0.47 cnf(i_0_5, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 0.19/0.47 cnf(i_0_71, plain, (element(esk16_1(X1),powerset(X1)))).
% 0.19/0.47 cnf(i_0_42, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.19/0.47 cnf(i_0_41, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.19/0.47 cnf(i_0_98, plain, (~empty(X2)|~in(X1,X2))).
% 0.19/0.47 cnf(i_0_50, plain, (function(esk8_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_65, plain, (function(esk14_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_51, plain, (relation(esk8_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_66, plain, (relation(esk14_2(X1,X2)))).
% 0.19/0.47 cnf(i_0_60, plain, (empty(X1)|element(esk11_1(X1),powerset(X1)))).
% 0.19/0.47 cnf(i_0_85, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.47 cnf(i_0_86, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.19/0.47 cnf(i_0_87, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.47 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.19/0.47 cnf(i_0_88, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.47 cnf(i_0_95, negated_conjecture, (relation_of2_as_subset(esk24_0,esk21_0,esk22_0))).
% 0.19/0.47 cnf(i_0_96, negated_conjecture, (quasi_total(esk24_0,esk21_0,esk22_0))).
% 0.19/0.47 cnf(i_0_40, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 0.19/0.47 cnf(i_0_92, negated_conjecture, (~in(apply(esk24_0,esk23_0),relation_rng(esk24_0)))).
% 0.19/0.47 cnf(i_0_90, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.47 cnf(i_0_89, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.47 cnf(i_0_32, plain, (relation_of2_as_subset(esk6_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_49, plain, (quasi_total(esk8_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_30, plain, (relation_of2(esk4_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_52, plain, (relation_of2(esk8_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_67, plain, (relation_of2(esk14_2(X1,X2),X1,X2))).
% 0.19/0.47 cnf(i_0_17, plain, (in(X3,X4)|X4!=relation_rng(X2)|X3!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 0.19/0.47 cnf(i_0_15, plain, (X2=relation_rng(X1)|in(esk2_2(X1,X2),X2)|in(esk3_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1))).
% 0.19/0.47 cnf(i_0_14, plain, (X2=relation_rng(X1)|apply(X1,esk3_2(X1,X2))=esk2_2(X1,X2)|in(esk2_2(X1,X2),X2)|~function(X1)|~relation(X1))).
% 0.19/0.47 cnf(i_0_4, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.19/0.47 cnf(i_0_82, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_83, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_81, plain, (relation_dom_as_subset(X2,X3,X1)=relation_dom(X1)|~relation_of2(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_8, plain, (X2=empty_set|quasi_total(X1,X2,X3)|X3!=empty_set|X1!=empty_set|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_29, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_16, plain, (X2=relation_rng(X1)|esk2_2(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~in(esk2_2(X1,X2),X2))).
% 0.19/0.47 cnf(i_0_18, plain, (apply(X2,esk1_3(X2,X3,X1))=X1|X3!=relation_rng(X2)|~function(X2)|~relation(X2)|~in(X1,X3))).
% 0.19/0.47 cnf(i_0_19, plain, (in(esk1_3(X1,X2,X3),relation_dom(X1))|X2!=relation_rng(X1)|~function(X1)|~relation(X1)|~in(X3,X2))).
% 0.19/0.47 cnf(i_0_9, plain, (X2=empty_set|X1=empty_set|X3!=empty_set|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_26, plain, (element(relation_dom_as_subset(X2,X3,X1),powerset(X2))|~relation_of2(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_13, plain, (X3=empty_set|relation_dom_as_subset(X2,X3,X1)=X2|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_12, plain, (X2=empty_set|quasi_total(X3,X1,X2)|relation_dom_as_subset(X1,X2,X3)!=X1|~relation_of2_as_subset(X3,X1,X2))).
% 0.19/0.47 cnf(i_0_11, plain, (relation_dom_as_subset(X2,X3,X1)=X2|X2!=empty_set|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.47 cnf(i_0_10, plain, (quasi_total(X3,X1,X2)|X1!=empty_set|relation_dom_as_subset(X1,X2,X3)!=X1|~relation_of2_as_subset(X3,X1,X2))).
% 0.19/0.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.47 # Begin printing tableau
% 0.19/0.47 # Found 4 steps
% 0.19/0.47 cnf(i_0_94, negated_conjecture, (in(esk23_0,esk21_0)), inference(start_rule)).
% 0.19/0.47 cnf(i_0_103, plain, (in(esk23_0,esk21_0)), inference(extension_rule, [i_0_98])).
% 0.19/0.47 cnf(i_0_504, plain, (~empty(esk21_0)), inference(extension_rule, [i_0_59])).
% 0.19/0.47 cnf(i_0_524, plain, (~empty(esk11_1(esk21_0))), inference(etableau_closure_rule, [i_0_524, ...])).
% 0.19/0.47 # End printing tableau
% 0.19/0.47 # SZS output end
% 0.19/0.47 # Branches closed with saturation will be marked with an "s"
% 0.19/0.47 # Child (8043) has found a proof.
% 0.19/0.47
% 0.19/0.47 # Proof search is over...
% 0.19/0.47 # Freeing feature tree
%------------------------------------------------------------------------------