TSTP Solution File: SEU176+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU176+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 : n014.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 09:24:30 EDT 2022
% Result : Theorem 6.84s 1.29s
% Output : CNFRefutation 6.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU176+2 : 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
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 17:03:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.39 # No SInE strategy applied
% 0.19/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.39 #
% 0.19/0.39 # Presaturation interreduction done
% 0.19/0.39 # Number of axioms: 214 Number of unprocessed: 187
% 0.19/0.39 # Tableaux proof search.
% 0.19/0.39 # APR header successfully linked.
% 0.19/0.39 # Hello from C++
% 0.19/0.39 # The folding up rule is enabled...
% 0.19/0.39 # Local unification is enabled...
% 0.19/0.39 # Any saturation attempts will use folding labels...
% 0.19/0.39 # 187 beginning clauses after preprocessing and clausification
% 0.19/0.39 # Creating start rules for all 3 conjectures.
% 0.19/0.39 # There are 3 start rule candidates:
% 0.19/0.39 # Found 36 unit axioms.
% 0.19/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.39 # 3 start rule tableaux created.
% 0.19/0.39 # 151 extension rule candidate clauses
% 0.19/0.39 # 36 unit axiom clauses
% 0.19/0.39
% 0.19/0.39 # Requested 8, 32 cores available to the main process.
% 0.19/0.39 # There are not enough tableaux to fork, creating more from the initial 3
% 0.19/0.39 # Returning from population with 17 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.39 # We now have 17 tableaux to operate on
% 6.84/1.29 # There were 1 total branch saturation attempts.
% 6.84/1.29 # There were 0 of these attempts blocked.
% 6.84/1.29 # There were 0 deferred branch saturation attempts.
% 6.84/1.29 # There were 0 free duplicated saturations.
% 6.84/1.29 # There were 1 total successful branch saturations.
% 6.84/1.29 # There were 0 successful branch saturations in interreduction.
% 6.84/1.29 # There were 0 successful branch saturations on the branch.
% 6.84/1.29 # There were 1 successful branch saturations after the branch.
% 6.84/1.29 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.84/1.29 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.84/1.29 # Begin clausification derivation
% 6.84/1.29
% 6.84/1.29 # End clausification derivation
% 6.84/1.29 # Begin listing active clauses obtained from FOF to CNF conversion
% 6.84/1.29 cnf(i_0_200, negated_conjecture, (element(esk31_0,powerset(powerset(esk30_0))))).
% 6.84/1.29 cnf(i_0_105, plain, (empty(empty_set))).
% 6.84/1.29 cnf(i_0_161, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 6.84/1.29 cnf(i_0_135, plain, (empty(esk24_0))).
% 6.84/1.29 cnf(i_0_202, plain, (set_difference(empty_set,X1)=empty_set)).
% 6.84/1.29 cnf(i_0_168, lemma, (subset(empty_set,X1))).
% 6.84/1.29 cnf(i_0_89, plain, (element(X1,powerset(X1)))).
% 6.84/1.29 cnf(i_0_224, lemma, (union(powerset(X1))=X1)).
% 6.84/1.29 cnf(i_0_158, plain, (set_union2(X1,empty_set)=X1)).
% 6.84/1.29 cnf(i_0_184, plain, (set_difference(X1,empty_set)=X1)).
% 6.84/1.29 cnf(i_0_136, plain, (empty(esk25_1(X1)))).
% 6.84/1.29 cnf(i_0_142, plain, (subset(X1,X1))).
% 6.84/1.29 cnf(i_0_103, plain, (element(esk21_1(X1),X1))).
% 6.84/1.29 cnf(i_0_9, plain, (set_meet(empty_set)=empty_set)).
% 6.84/1.29 cnf(i_0_109, plain, (set_union2(X1,X1)=X1)).
% 6.84/1.29 cnf(i_0_137, plain, (element(esk25_1(X1),powerset(X1)))).
% 6.84/1.29 cnf(i_0_155, lemma, (in(X1,esk27_1(X1)))).
% 6.84/1.29 cnf(i_0_229, plain, (in(X1,esk33_1(X1)))).
% 6.84/1.29 cnf(i_0_164, plain, (set_difference(X1,X1)=empty_set)).
% 6.84/1.29 cnf(i_0_217, lemma, (subset(X1,set_union2(X1,X2)))).
% 6.84/1.29 cnf(i_0_172, lemma, (subset(set_difference(X1,X2),X1))).
% 6.84/1.29 cnf(i_0_180, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 6.84/1.29 cnf(i_0_191, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 6.84/1.29 cnf(i_0_34, plain, (in(X1,unordered_pair(X2,X1)))).
% 6.84/1.29 cnf(i_0_35, plain, (in(X1,unordered_pair(X1,X2)))).
% 6.84/1.29 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 6.84/1.29 cnf(i_0_4, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 6.84/1.29 cnf(i_0_5, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 6.84/1.29 cnf(i_0_199, negated_conjecture, (esk31_0!=empty_set)).
% 6.84/1.29 cnf(i_0_198, negated_conjecture, (subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0))!=union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)))).
% 6.84/1.29 cnf(i_0_138, plain, (~empty(esk26_0))).
% 6.84/1.29 cnf(i_0_113, plain, (~proper_subset(X1,X1))).
% 6.84/1.29 cnf(i_0_104, plain, (~empty(powerset(X1)))).
% 6.84/1.29 cnf(i_0_114, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 6.84/1.29 cnf(i_0_22, plain, (~in(X1,empty_set))).
% 6.84/1.29 cnf(i_0_106, plain, (~empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))))).
% 6.84/1.29 cnf(i_0_214, plain, (X1=empty_set|~empty(X1))).
% 6.84/1.29 cnf(i_0_190, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 6.84/1.29 cnf(i_0_209, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 6.84/1.29 cnf(i_0_216, plain, (~empty(X1)|~in(X2,X1))).
% 6.84/1.29 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 6.84/1.29 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 6.84/1.29 cnf(i_0_133, plain, (empty(X1)|~empty(esk23_1(X1)))).
% 6.84/1.29 cnf(i_0_84, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 6.84/1.29 cnf(i_0_195, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 6.84/1.29 cnf(i_0_159, plain, (element(X1,X2)|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_220, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 6.84/1.29 cnf(i_0_108, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 6.84/1.29 cnf(i_0_107, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 6.84/1.29 cnf(i_0_116, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_186, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 6.84/1.29 cnf(i_0_185, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_121, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 6.84/1.29 cnf(i_0_21, plain, (X1=empty_set|in(esk5_1(X1),X1))).
% 6.84/1.29 cnf(i_0_212, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 6.84/1.29 cnf(i_0_219, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 6.84/1.29 cnf(i_0_98, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_99, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_120, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_218, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 6.84/1.29 cnf(i_0_143, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 6.84/1.29 cnf(i_0_187, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 6.84/1.29 cnf(i_0_6, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_139, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_140, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_101, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_134, plain, (element(esk23_1(X1),powerset(X1))|empty(X1))).
% 6.84/1.29 cnf(i_0_151, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_178, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 6.84/1.29 cnf(i_0_179, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 6.84/1.29 cnf(i_0_28, plain, (empty(X1)|~element(X1,X2)|~empty(X2))).
% 6.84/1.29 cnf(i_0_131, lemma, (element(X1,powerset(X2))|~in(esk22_2(X1,X2),X2))).
% 6.84/1.29 cnf(i_0_112, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_27, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 6.84/1.29 cnf(i_0_82, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_51, plain, (subset(X1,X2)|~in(esk14_2(X1,X2),X2))).
% 6.84/1.29 cnf(i_0_204, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 6.84/1.29 cnf(i_0_208, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 6.84/1.29 cnf(i_0_230, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 6.84/1.29 cnf(i_0_127, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_93, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 6.84/1.29 cnf(i_0_222, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 6.84/1.29 cnf(i_0_75, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 6.84/1.29 cnf(i_0_30, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 6.84/1.29 cnf(i_0_207, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 6.84/1.29 cnf(i_0_215, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 6.84/1.29 cnf(i_0_71, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_203, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_153, lemma, (in(powerset(X1),esk27_1(X2))|~in(X1,esk27_1(X2)))).
% 6.84/1.29 cnf(i_0_53, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_160, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_210, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_20, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 6.84/1.29 cnf(i_0_73, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))).
% 6.84/1.29 cnf(i_0_100, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 6.84/1.29 cnf(i_0_76, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 6.84/1.29 cnf(i_0_118, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_25, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_26, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 6.84/1.29 cnf(i_0_132, lemma, (element(X1,powerset(X2))|in(esk22_2(X1,X2),X1))).
% 6.84/1.29 cnf(i_0_122, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_147, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 6.84/1.29 cnf(i_0_111, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 6.84/1.29 cnf(i_0_167, plain, (X1=X2|~in(esk28_2(X1,X2),X2)|~in(esk28_2(X1,X2),X1))).
% 6.84/1.29 cnf(i_0_117, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 6.84/1.29 cnf(i_0_40, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_126, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 6.84/1.29 cnf(i_0_52, plain, (subset(X1,X2)|in(esk14_2(X1,X2),X1))).
% 6.84/1.29 cnf(i_0_36, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 6.84/1.29 cnf(i_0_41, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_188, lemma, (disjoint(X1,X2)|in(esk29_2(X1,X2),X2))).
% 6.84/1.29 cnf(i_0_72, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 6.84/1.29 cnf(i_0_163, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_115, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_189, lemma, (disjoint(X1,X2)|in(esk29_2(X1,X2),X1))).
% 6.84/1.29 cnf(i_0_211, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 6.84/1.29 cnf(i_0_177, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_221, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_192, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))).
% 6.84/1.29 cnf(i_0_226, plain, (in(X1,esk34_2(X2,X3))|~subset(X1,X3)|~in(X3,esk33_1(X2)))).
% 6.84/1.29 cnf(i_0_227, plain, (in(esk34_2(X1,X2),esk33_1(X1))|~in(X2,esk33_1(X1)))).
% 6.84/1.29 cnf(i_0_141, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 6.84/1.29 cnf(i_0_197, lemma, (subset_difference(X1,X1,union_of_subsets(X1,X2))=meet_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 6.84/1.29 cnf(i_0_24, plain, (X1=powerset(X2)|~subset(esk6_2(X2,X1),X2)|~in(esk6_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_14, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk1_3(X1,set_meet(X1),X2)))).
% 6.84/1.29 cnf(i_0_149, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_32, plain, (X1=unordered_pair(X2,X3)|esk7_3(X2,X3,X1)!=X3|~in(esk7_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_33, plain, (X1=unordered_pair(X2,X3)|esk7_3(X2,X3,X1)!=X2|~in(esk7_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_129, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 6.84/1.29 cnf(i_0_148, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 6.84/1.29 cnf(i_0_169, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_193, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 6.84/1.29 cnf(i_0_152, lemma, (are_equipotent(X1,esk27_1(X2))|in(X1,esk27_1(X2))|~subset(X1,esk27_1(X2)))).
% 6.84/1.29 cnf(i_0_225, plain, (are_equipotent(X1,esk33_1(X2))|in(X1,esk33_1(X2))|~subset(X1,esk33_1(X2)))).
% 6.84/1.29 cnf(i_0_64, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_130, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 6.84/1.29 cnf(i_0_58, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 6.84/1.29 cnf(i_0_154, lemma, (in(X1,esk27_1(X2))|~subset(X1,X3)|~in(X3,esk27_1(X2)))).
% 6.84/1.29 cnf(i_0_228, plain, (in(X1,esk33_1(X2))|~subset(X1,X3)|~in(X3,esk33_1(X2)))).
% 6.84/1.29 cnf(i_0_66, plain, (in(X1,esk16_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 6.84/1.29 cnf(i_0_65, plain, (in(esk16_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 6.84/1.29 cnf(i_0_18, plain, (X1=unordered_pair(X2,X2)|esk4_2(X2,X1)!=X2|~in(esk4_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_63, plain, (X1=union(X2)|~in(esk17_2(X2,X1),X3)|~in(esk17_2(X2,X1),X1)|~in(X3,X2))).
% 6.84/1.29 cnf(i_0_205, lemma, (disjoint(X1,X2)|in(esk32_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 6.84/1.29 cnf(i_0_79, plain, (X1=complements_of_subsets(X2,X3)|element(esk20_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 6.84/1.29 cnf(i_0_12, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk2_2(X2,X1),esk3_2(X2,X1))|~in(esk2_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_150, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_157, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_16, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 6.84/1.29 cnf(i_0_38, plain, (X1=set_union2(X2,X3)|~in(esk8_3(X2,X3,X1),X1)|~in(esk8_3(X2,X3,X1),X3))).
% 6.84/1.29 cnf(i_0_39, plain, (X1=set_union2(X2,X3)|~in(esk8_3(X2,X3,X1),X1)|~in(esk8_3(X2,X3,X1),X2))).
% 6.84/1.29 cnf(i_0_170, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 6.84/1.29 cnf(i_0_15, plain, (X1=empty_set|in(esk1_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 6.84/1.29 cnf(i_0_206, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 6.84/1.29 cnf(i_0_123, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 6.84/1.29 cnf(i_0_50, plain, (in(esk9_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 6.84/1.29 cnf(i_0_17, plain, (esk4_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk4_2(X1,X2),X2))).
% 6.84/1.29 cnf(i_0_171, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 6.84/1.29 cnf(i_0_57, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_70, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 6.84/1.29 cnf(i_0_42, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 6.84/1.29 cnf(i_0_13, plain, (X1=set_meet(X2)|X2=empty_set|in(esk3_2(X2,X1),X2)|~in(esk2_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_49, plain, (in(esk10_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 6.84/1.29 cnf(i_0_166, plain, (X1=X2|in(esk28_2(X1,X2),X1)|in(esk28_2(X1,X2),X2))).
% 6.84/1.29 cnf(i_0_23, plain, (X1=powerset(X2)|subset(esk6_2(X2,X1),X2)|in(esk6_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_67, plain, (X1=set_difference(X2,X3)|in(esk19_3(X2,X3,X1),X1)|~in(esk19_3(X2,X3,X1),X3))).
% 6.84/1.29 cnf(i_0_162, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 6.84/1.29 cnf(i_0_61, plain, (X1=union(X2)|in(esk18_2(X2,X1),X2)|in(esk17_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_62, plain, (X1=union(X2)|in(esk17_2(X2,X1),esk18_2(X2,X1))|in(esk17_2(X2,X1),X1))).
% 6.84/1.29 cnf(i_0_80, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 6.84/1.29 cnf(i_0_81, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 6.84/1.29 cnf(i_0_47, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 6.84/1.29 cnf(i_0_31, plain, (esk7_3(X1,X2,X3)=X1|esk7_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk7_3(X1,X2,X3),X3))).
% 6.84/1.29 cnf(i_0_56, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk15_3(X2,X3,X1),X1)|~in(esk15_3(X2,X3,X1),X3)|~in(esk15_3(X2,X3,X1),X2))).
% 6.84/1.29 cnf(i_0_78, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk20_3(X2,X3,X1)),X3)|~in(esk20_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_45, plain, (X1=cartesian_product2(X2,X3)|in(esk12_3(X2,X3,X1),X2)|in(esk11_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_11, plain, (X1=set_meet(X2)|X2=empty_set|in(esk2_2(X2,X1),X1)|in(esk2_2(X2,X1),X3)|~in(X3,X2))).
% 6.84/1.29 cnf(i_0_44, plain, (X1=cartesian_product2(X2,X3)|in(esk13_3(X2,X3,X1),X3)|in(esk11_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_68, plain, (X1=set_difference(X2,X3)|in(esk19_3(X2,X3,X1),X2)|in(esk19_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_55, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk15_3(X2,X3,X1),X2)|in(esk15_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_54, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk15_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_37, plain, (X1=set_union2(X2,X3)|in(esk8_3(X2,X3,X1),X2)|in(esk8_3(X2,X3,X1),X3)|in(esk8_3(X2,X3,X1),X1))).
% 6.84/1.29 cnf(i_0_46, plain, (X1=cartesian_product2(X2,X3)|esk11_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk11_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 6.84/1.29 cnf(i_0_69, plain, (X1=set_difference(X2,X3)|in(esk19_3(X2,X3,X1),X3)|~in(esk19_3(X2,X3,X1),X1)|~in(esk19_3(X2,X3,X1),X2))).
% 6.84/1.29 cnf(i_0_77, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk20_3(X2,X3,X1)),X3)|in(esk20_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 6.84/1.29 cnf(i_0_43, plain, (unordered_pair(unordered_pair(esk12_3(X1,X2,X3),esk12_3(X1,X2,X3)),unordered_pair(esk12_3(X1,X2,X3),esk13_3(X1,X2,X3)))=esk11_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk11_3(X1,X2,X3),X3))).
% 6.84/1.29 cnf(i_0_48, plain, (unordered_pair(unordered_pair(esk9_4(X1,X2,cartesian_product2(X1,X2),X3),esk9_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk9_4(X1,X2,cartesian_product2(X1,X2),X3),esk10_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 6.84/1.29 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 6.84/1.29 # Begin printing tableau
% 6.84/1.29 # Found 5 steps
% 6.84/1.29 cnf(i_0_198, negated_conjecture, (subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0))!=union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))), inference(start_rule)).
% 6.84/1.29 cnf(i_0_275, plain, (subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0))!=union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))), inference(extension_rule, [i_0_36])).
% 6.84/1.29 cnf(i_0_441, plain, (subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0))=union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))), inference(closure_rule, [i_0_198])).
% 6.84/1.29 cnf(i_0_443, plain, (~in(subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0)),unordered_pair(union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)),union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))))), inference(extension_rule, [i_0_178])).
% 6.84/1.29 cnf(i_0_746, plain, (~subset(unordered_pair(X6,subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0))),unordered_pair(union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)),union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))))), inference(etableau_closure_rule, [i_0_746, ...])).
% 6.84/1.29 # End printing tableau
% 6.84/1.29 # SZS output end
% 6.84/1.29 # Branches closed with saturation will be marked with an "s"
% 6.84/1.30 # Child (27910) has found a proof.
% 6.84/1.30
% 6.84/1.30 # Proof search is over...
% 6.84/1.30 # Freeing feature tree
%------------------------------------------------------------------------------