TSTP Solution File: SEU169+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU169+2 : 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 : n018.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 09:24:26 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 04:25:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.40 # No SInE strategy applied
% 0.21/0.40 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.40 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.21/0.40 #
% 0.21/0.40 # Presaturation interreduction done
% 0.21/0.40 # Number of axioms: 172 Number of unprocessed: 148
% 0.21/0.40 # Tableaux proof search.
% 0.21/0.40 # APR header successfully linked.
% 0.21/0.40 # Hello from C++
% 0.21/0.40 # The folding up rule is enabled...
% 0.21/0.40 # Local unification is enabled...
% 0.21/0.40 # Any saturation attempts will use folding labels...
% 0.21/0.40 # 148 beginning clauses after preprocessing and clausification
% 0.21/0.40 # Creating start rules for all 3 conjectures.
% 0.21/0.40 # There are 3 start rule candidates:
% 0.21/0.40 # Found 32 unit axioms.
% 0.21/0.40 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.21/0.40 # 3 start rule tableaux created.
% 0.21/0.40 # 116 extension rule candidate clauses
% 0.21/0.40 # 32 unit axiom clauses
% 0.21/0.40
% 0.21/0.40 # Requested 8, 32 cores available to the main process.
% 0.21/0.40 # There are not enough tableaux to fork, creating more from the initial 3
% 0.21/0.40 # Returning from population with 16 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.40 # We now have 16 tableaux to operate on
% 0.21/0.42 # There were 1 total branch saturation attempts.
% 0.21/0.42 # There were 0 of these attempts blocked.
% 0.21/0.42 # There were 0 deferred branch saturation attempts.
% 0.21/0.42 # There were 0 free duplicated saturations.
% 0.21/0.42 # There were 1 total successful branch saturations.
% 0.21/0.42 # There were 0 successful branch saturations in interreduction.
% 0.21/0.42 # There were 0 successful branch saturations on the branch.
% 0.21/0.42 # There were 1 successful branch saturations after the branch.
% 0.21/0.42 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 # Begin clausification derivation
% 0.21/0.42
% 0.21/0.42 # End clausification derivation
% 0.21/0.42 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.42 cnf(i_0_99, negated_conjecture, (in(esk20_0,esk19_0))).
% 0.21/0.42 cnf(i_0_100, negated_conjecture, (element(esk19_0,powerset(esk18_0)))).
% 0.21/0.42 cnf(i_0_83, plain, (empty(empty_set))).
% 0.21/0.42 cnf(i_0_111, plain, (empty(esk22_0))).
% 0.21/0.42 cnf(i_0_180, lemma, (union(powerset(X1))=X1)).
% 0.21/0.42 cnf(i_0_162, plain, (set_difference(empty_set,X1)=empty_set)).
% 0.21/0.42 cnf(i_0_137, lemma, (subset(empty_set,X1))).
% 0.21/0.42 cnf(i_0_113, plain, (subset(X1,X1))).
% 0.21/0.42 cnf(i_0_131, lemma, (powerset(empty_set)=unordered_pair(empty_set,empty_set))).
% 0.21/0.42 cnf(i_0_126, lemma, (in(X1,esk24_1(X1)))).
% 0.21/0.42 cnf(i_0_185, plain, (in(X1,esk28_1(X1)))).
% 0.21/0.42 cnf(i_0_81, plain, (element(esk17_1(X1),X1))).
% 0.21/0.42 cnf(i_0_129, plain, (set_union2(X1,empty_set)=X1)).
% 0.21/0.42 cnf(i_0_153, plain, (set_difference(X1,empty_set)=X1)).
% 0.21/0.42 cnf(i_0_87, plain, (set_union2(X1,X1)=X1)).
% 0.21/0.42 cnf(i_0_173, lemma, (subset(X1,set_union2(X1,X2)))).
% 0.21/0.42 cnf(i_0_141, lemma, (subset(set_difference(X1,X2),X1))).
% 0.21/0.42 cnf(i_0_134, plain, (set_difference(X1,X1)=empty_set)).
% 0.21/0.42 cnf(i_0_26, plain, (in(X1,unordered_pair(X2,X1)))).
% 0.21/0.42 cnf(i_0_149, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 0.21/0.42 cnf(i_0_27, plain, (in(X1,unordered_pair(X1,X2)))).
% 0.21/0.42 cnf(i_0_158, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 0.21/0.42 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.21/0.42 cnf(i_0_4, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.21/0.42 cnf(i_0_5, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 0.21/0.42 cnf(i_0_98, negated_conjecture, (~in(esk20_0,esk18_0))).
% 0.21/0.42 cnf(i_0_112, plain, (~empty(esk23_0))).
% 0.21/0.42 cnf(i_0_82, plain, (~empty(powerset(X1)))).
% 0.21/0.42 cnf(i_0_89, plain, (~proper_subset(X1,X1))).
% 0.21/0.42 cnf(i_0_90, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 0.21/0.42 cnf(i_0_14, plain, (~in(X1,empty_set))).
% 0.21/0.42 cnf(i_0_84, plain, (~empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))))).
% 0.21/0.42 cnf(i_0_170, plain, (X1=empty_set|~empty(X1))).
% 0.21/0.42 cnf(i_0_172, plain, (~empty(X1)|~in(X2,X1))).
% 0.21/0.42 cnf(i_0_165, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 0.21/0.42 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.21/0.42 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 0.21/0.42 cnf(i_0_157, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 0.21/0.42 cnf(i_0_109, plain, (empty(X1)|~empty(esk21_1(X1)))).
% 0.21/0.42 cnf(i_0_69, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 0.21/0.42 cnf(i_0_86, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.21/0.42 cnf(i_0_85, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.21/0.42 cnf(i_0_20, plain, (empty(X1)|~element(X1,X2)|~empty(X2))).
% 0.21/0.42 cnf(i_0_19, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 0.21/0.42 cnf(i_0_176, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.21/0.42 cnf(i_0_13, plain, (X1=empty_set|in(esk2_1(X1),X1))).
% 0.21/0.42 cnf(i_0_92, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_168, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 0.21/0.42 cnf(i_0_97, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 0.21/0.42 cnf(i_0_22, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.21/0.42 cnf(i_0_175, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 0.21/0.42 cnf(i_0_21, plain, (element(X1,X2)|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_110, plain, (element(esk21_1(X1),powerset(X1))|empty(X1))).
% 0.21/0.42 cnf(i_0_174, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 0.21/0.42 cnf(i_0_114, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 0.21/0.42 cnf(i_0_154, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 0.21/0.42 cnf(i_0_124, lemma, (in(powerset(X1),esk24_1(X2))|~in(X1,esk24_1(X2)))).
% 0.21/0.42 cnf(i_0_147, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 0.21/0.42 cnf(i_0_148, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 0.21/0.42 cnf(i_0_6, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_43, plain, (subset(X1,X2)|~in(esk11_2(X1,X2),X2))).
% 0.21/0.42 cnf(i_0_163, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 0.21/0.42 cnf(i_0_96, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_122, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_105, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_67, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_186, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 0.21/0.42 cnf(i_0_178, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 0.21/0.42 cnf(i_0_171, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 0.21/0.42 cnf(i_0_62, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 0.21/0.42 cnf(i_0_17, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_45, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.21/0.42 cnf(i_0_130, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_166, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_12, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 0.21/0.42 cnf(i_0_18, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 0.21/0.42 cnf(i_0_94, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_65, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 0.21/0.42 cnf(i_0_118, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 0.21/0.42 cnf(i_0_44, plain, (subset(X1,X2)|in(esk11_2(X1,X2),X1))).
% 0.21/0.42 cnf(i_0_155, lemma, (disjoint(X1,X2)|in(esk26_2(X1,X2),X2))).
% 0.21/0.42 cnf(i_0_156, lemma, (disjoint(X1,X2)|in(esk26_2(X1,X2),X1))).
% 0.21/0.42 cnf(i_0_32, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 0.21/0.42 cnf(i_0_93, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 0.21/0.42 cnf(i_0_136, plain, (X1=X2|~in(esk25_2(X1,X2),X2)|~in(esk25_2(X1,X2),X1))).
% 0.21/0.42 cnf(i_0_33, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_63, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 0.21/0.42 cnf(i_0_183, plain, (in(esk29_2(X1,X2),esk28_1(X1))|~in(X2,esk28_1(X1)))).
% 0.21/0.42 cnf(i_0_91, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_28, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 0.21/0.42 cnf(i_0_146, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 0.21/0.42 cnf(i_0_177, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_133, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_167, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 0.21/0.42 cnf(i_0_182, plain, (in(X1,esk29_2(X2,X3))|~subset(X1,X3)|~in(X3,esk28_1(X2)))).
% 0.21/0.42 cnf(i_0_55, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 0.21/0.42 cnf(i_0_66, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 0.21/0.42 cnf(i_0_104, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 0.21/0.42 cnf(i_0_16, plain, (X1=powerset(X2)|~subset(esk3_2(X2,X1),X2)|~in(esk3_2(X2,X1),X1))).
% 0.21/0.42 cnf(i_0_24, plain, (X1=unordered_pair(X2,X3)|esk4_3(X2,X3,X1)!=X3|~in(esk4_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_25, plain, (X1=unordered_pair(X2,X3)|esk4_3(X2,X3,X1)!=X2|~in(esk4_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_120, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_125, lemma, (in(X1,esk24_1(X2))|~subset(X1,X3)|~in(X3,esk24_1(X2)))).
% 0.21/0.42 cnf(i_0_184, plain, (in(X1,esk28_1(X2))|~subset(X1,X3)|~in(X3,esk28_1(X2)))).
% 0.21/0.42 cnf(i_0_57, plain, (in(X1,esk13_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 0.21/0.42 cnf(i_0_56, plain, (in(esk13_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 0.21/0.42 cnf(i_0_107, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 0.21/0.42 cnf(i_0_108, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 0.21/0.42 cnf(i_0_119, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 0.21/0.42 cnf(i_0_50, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 0.21/0.42 cnf(i_0_9, plain, (esk1_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk1_2(X1,X2),X2))).
% 0.21/0.42 cnf(i_0_138, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_10, plain, (X1=unordered_pair(X2,X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.21/0.42 cnf(i_0_123, lemma, (are_equipotent(X1,esk24_1(X2))|in(X1,esk24_1(X2))|~subset(X1,esk24_1(X2)))).
% 0.21/0.42 cnf(i_0_181, plain, (are_equipotent(X1,esk28_1(X2))|in(X1,esk28_1(X2))|~subset(X1,esk28_1(X2)))).
% 0.21/0.42 cnf(i_0_54, plain, (X1=union(X2)|~in(esk14_2(X2,X1),X3)|~in(esk14_2(X2,X1),X1)|~in(X3,X2))).
% 0.21/0.42 cnf(i_0_61, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_34, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 0.21/0.42 cnf(i_0_135, plain, (X1=X2|in(esk25_2(X1,X2),X1)|in(esk25_2(X1,X2),X2))).
% 0.21/0.42 cnf(i_0_164, lemma, (disjoint(X1,X2)|in(esk27_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 0.21/0.42 cnf(i_0_30, plain, (X1=set_union2(X2,X3)|~in(esk5_3(X2,X3,X1),X1)|~in(esk5_3(X2,X3,X1),X3))).
% 0.21/0.42 cnf(i_0_31, plain, (X1=set_union2(X2,X3)|~in(esk5_3(X2,X3,X1),X1)|~in(esk5_3(X2,X3,X1),X2))).
% 0.21/0.42 cnf(i_0_139, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 0.21/0.42 cnf(i_0_140, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 0.21/0.42 cnf(i_0_49, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 0.21/0.42 cnf(i_0_121, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_42, plain, (in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 0.21/0.42 cnf(i_0_101, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_128, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 0.21/0.42 cnf(i_0_41, plain, (in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 0.21/0.42 cnf(i_0_58, plain, (X1=set_difference(X2,X3)|in(esk16_3(X2,X3,X1),X1)|~in(esk16_3(X2,X3,X1),X3))).
% 0.21/0.42 cnf(i_0_132, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 0.21/0.42 cnf(i_0_52, plain, (X1=union(X2)|in(esk15_2(X2,X1),X2)|in(esk14_2(X2,X1),X1))).
% 0.21/0.42 cnf(i_0_15, plain, (X1=powerset(X2)|subset(esk3_2(X2,X1),X2)|in(esk3_2(X2,X1),X1))).
% 0.21/0.42 cnf(i_0_53, plain, (X1=union(X2)|in(esk14_2(X2,X1),esk15_2(X2,X1))|in(esk14_2(X2,X1),X1))).
% 0.21/0.42 cnf(i_0_106, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 0.21/0.42 cnf(i_0_37, plain, (X1=cartesian_product2(X2,X3)|in(esk9_3(X2,X3,X1),X2)|in(esk8_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_48, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk12_3(X2,X3,X1),X1)|~in(esk12_3(X2,X3,X1),X3)|~in(esk12_3(X2,X3,X1),X2))).
% 0.21/0.42 cnf(i_0_38, plain, (X1=cartesian_product2(X2,X3)|esk8_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk8_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 0.21/0.42 cnf(i_0_36, plain, (X1=cartesian_product2(X2,X3)|in(esk10_3(X2,X3,X1),X3)|in(esk8_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_59, plain, (X1=set_difference(X2,X3)|in(esk16_3(X2,X3,X1),X2)|in(esk16_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_23, plain, (esk4_3(X1,X2,X3)=X1|esk4_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk4_3(X1,X2,X3),X3))).
% 0.21/0.42 cnf(i_0_47, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk12_3(X2,X3,X1),X2)|in(esk12_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_60, plain, (X1=set_difference(X2,X3)|in(esk16_3(X2,X3,X1),X3)|~in(esk16_3(X2,X3,X1),X1)|~in(esk16_3(X2,X3,X1),X2))).
% 0.21/0.42 cnf(i_0_46, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk12_3(X2,X3,X1),X3)|in(esk12_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_29, plain, (X1=set_union2(X2,X3)|in(esk5_3(X2,X3,X1),X2)|in(esk5_3(X2,X3,X1),X3)|in(esk5_3(X2,X3,X1),X1))).
% 0.21/0.42 cnf(i_0_35, plain, (unordered_pair(unordered_pair(esk9_3(X1,X2,X3),esk9_3(X1,X2,X3)),unordered_pair(esk9_3(X1,X2,X3),esk10_3(X1,X2,X3)))=esk8_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk8_3(X1,X2,X3),X3))).
% 0.21/0.42 cnf(i_0_40, plain, (unordered_pair(unordered_pair(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),esk6_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),esk7_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 0.21/0.42 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.42 # Begin printing tableau
% 0.21/0.42 # Found 4 steps
% 0.21/0.42 cnf(i_0_98, negated_conjecture, (~in(esk20_0,esk18_0)), inference(start_rule)).
% 0.21/0.42 cnf(i_0_222, plain, (~in(esk20_0,esk18_0)), inference(extension_rule, [i_0_50])).
% 0.21/0.42 cnf(i_0_403, plain, (~in(esk20_0,set_difference(X6,set_difference(X6,esk18_0)))), inference(extension_rule, [i_0_147])).
% 0.21/0.42 cnf(i_0_1194, plain, (~subset(unordered_pair(X7,esk20_0),set_difference(X6,set_difference(X6,esk18_0)))), inference(etableau_closure_rule, [i_0_1194, ...])).
% 0.21/0.42 # End printing tableau
% 0.21/0.42 # SZS output end
% 0.21/0.42 # Branches closed with saturation will be marked with an "s"
% 0.21/0.42 # Child (28339) has found a proof.
% 0.21/0.42
% 0.21/0.42 # Proof search is over...
% 0.21/0.42 # Freeing feature tree
%------------------------------------------------------------------------------