0.12/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % 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 : n005.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 : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 17:06:48 EDT 2021 0.14/0.36 % CPUTime : 0.22/0.41 # No SInE strategy applied 0.22/0.41 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.22/0.41 # and selection function SelectComplexExceptUniqMaxHorn. 0.22/0.41 # 0.22/0.41 # Presaturation interreduction done 0.22/0.41 # Number of axioms: 197 Number of unprocessed: 171 0.22/0.41 # Tableaux proof search. 0.22/0.41 # APR header successfully linked. 0.22/0.41 # Hello from C++ 0.22/0.42 # The folding up rule is enabled... 0.22/0.42 # Local unification is enabled... 0.22/0.42 # Any saturation attempts will use folding labels... 0.22/0.42 # 171 beginning clauses after preprocessing and clausification 0.22/0.42 # Creating start rules for all 3 conjectures. 0.22/0.42 # There are 3 start rule candidates: 0.22/0.42 # Found 34 unit axioms. 0.22/0.42 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. 0.22/0.42 # 3 start rule tableaux created. 0.22/0.42 # 137 extension rule candidate clauses 0.22/0.42 # 34 unit axiom clauses 0.22/0.42 0.22/0.42 # Requested 8, 32 cores available to the main process. 0.22/0.42 # There are not enough tableaux to fork, creating more from the initial 3 0.22/0.42 # Returning from population with 22 new_tableaux and 0 remaining starting tableaux. 0.22/0.42 # We now have 22 tableaux to operate on 0.22/0.46 # There were 1 total branch saturation attempts. 0.22/0.46 # There were 0 of these attempts blocked. 0.22/0.46 # There were 0 deferred branch saturation attempts. 0.22/0.46 # There were 0 free duplicated saturations. 0.22/0.46 # There were 1 total successful branch saturations. 0.22/0.46 # There were 0 successful branch saturations in interreduction. 0.22/0.46 # There were 0 successful branch saturations on the branch. 0.22/0.46 # There were 1 successful branch saturations after the branch. 0.22/0.46 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.46 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.46 # Begin clausification derivation 0.22/0.46 0.22/0.46 # End clausification derivation 0.22/0.46 # Begin listing active clauses obtained from FOF to CNF conversion 0.22/0.46 cnf(i_0_123, negated_conjecture, (complements_of_subsets(esk22_0,esk23_0)=empty_set)). 0.22/0.46 cnf(i_0_124, negated_conjecture, (element(esk23_0,powerset(powerset(esk22_0))))). 0.22/0.46 cnf(i_0_150, plain, (empty(empty_set))). 0.22/0.46 cnf(i_0_164, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))). 0.22/0.46 cnf(i_0_27, plain, (empty(esk3_0))). 0.22/0.46 cnf(i_0_209, plain, (set_difference(empty_set,X1)=empty_set)). 0.22/0.46 cnf(i_0_23, lemma, (subset(empty_set,X1))). 0.22/0.46 cnf(i_0_198, plain, (empty(esk29_1(X1)))). 0.22/0.46 cnf(i_0_19, lemma, (union(powerset(X1))=X1)). 0.22/0.46 cnf(i_0_108, plain, (set_difference(X1,empty_set)=X1)). 0.22/0.46 cnf(i_0_51, plain, (set_union2(X1,empty_set)=X1)). 0.22/0.46 cnf(i_0_181, plain, (subset(X1,X1))). 0.22/0.46 cnf(i_0_30, plain, (element(esk5_1(X1),X1))). 0.22/0.46 cnf(i_0_199, plain, (element(esk29_1(X1),powerset(X1)))). 0.22/0.46 cnf(i_0_130, plain, (set_union2(X1,X1)=X1)). 0.22/0.46 cnf(i_0_99, plain, (in(X1,esk18_1(X1)))). 0.22/0.46 cnf(i_0_121, lemma, (in(X1,esk21_1(X1)))). 0.22/0.46 cnf(i_0_174, plain, (set_difference(X1,X1)=empty_set)). 0.22/0.46 cnf(i_0_25, lemma, (subset(X1,set_union2(X1,X2)))). 0.22/0.46 cnf(i_0_42, lemma, (subset(set_difference(X1,X2),X1))). 0.22/0.46 cnf(i_0_22, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))). 0.22/0.46 cnf(i_0_204, plain, (in(X1,unordered_pair(X2,X1)))). 0.22/0.46 cnf(i_0_203, plain, (in(X1,unordered_pair(X1,X2)))). 0.22/0.46 cnf(i_0_149, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))). 0.22/0.46 cnf(i_0_141, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). 0.22/0.46 cnf(i_0_160, plain, (set_union2(X1,X2)=set_union2(X2,X1))). 0.22/0.46 cnf(i_0_201, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))). 0.22/0.46 cnf(i_0_122, negated_conjecture, (esk23_0!=empty_set)). 0.22/0.46 cnf(i_0_144, plain, (~empty(esk24_0))). 0.22/0.46 cnf(i_0_26, plain, (~proper_subset(X1,X1))). 0.22/0.46 cnf(i_0_24, plain, (~empty(powerset(X1)))). 0.22/0.46 cnf(i_0_132, lemma, (unordered_pair(X1,X1)!=empty_set)). 0.22/0.46 cnf(i_0_28, plain, (~in(X1,empty_set))). 0.22/0.46 cnf(i_0_166, plain, (~empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))))). 0.22/0.46 cnf(i_0_129, plain, (X1=empty_set|~empty(X1))). 0.22/0.46 cnf(i_0_84, lemma, (empty_set=X1|~subset(X1,empty_set))). 0.22/0.46 cnf(i_0_200, lemma, (~proper_subset(X1,X2)|~subset(X2,X1))). 0.22/0.46 cnf(i_0_193, plain, (~in(X1,X2)|~empty(X2))). 0.22/0.46 cnf(i_0_111, plain, (~in(X1,X2)|~in(X2,X1))). 0.22/0.46 cnf(i_0_98, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))). 0.22/0.46 cnf(i_0_195, plain, (empty(X1)|~empty(esk28_1(X1)))). 0.22/0.46 cnf(i_0_94, plain, (subset(X1,X2)|~proper_subset(X1,X2))). 0.22/0.46 cnf(i_0_68, plain, (element(X1,X2)|~in(X1,X2))). 0.22/0.46 cnf(i_0_92, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). 0.22/0.46 cnf(i_0_91, plain, (element(X1,powerset(X2))|~subset(X1,X2))). 0.22/0.46 cnf(i_0_145, plain, (X1=X2|~empty(X2)|~empty(X1))). 0.22/0.46 cnf(i_0_89, plain, (empty(X1)|~empty(set_union2(X2,X1)))). 0.22/0.46 cnf(i_0_49, plain, (empty(X1)|~empty(set_union2(X1,X2)))). 0.22/0.46 cnf(i_0_128, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))). 0.22/0.46 cnf(i_0_172, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))). 0.22/0.46 cnf(i_0_67, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)). 0.22/0.46 cnf(i_0_66, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))). 0.22/0.46 cnf(i_0_29, plain, (empty_set=X1|in(esk4_1(X1),X1))). 0.22/0.46 cnf(i_0_117, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))). 0.22/0.46 cnf(i_0_116, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)). 0.22/0.46 cnf(i_0_202, plain, (disjoint(X1,X2)|~disjoint(X2,X1))). 0.22/0.46 cnf(i_0_126, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_196, plain, (empty(X1)|element(esk28_1(X1),powerset(X1)))). 0.22/0.46 cnf(i_0_134, plain, (empty(X1)|~empty(X2)|~element(X1,X2))). 0.22/0.46 cnf(i_0_73, lemma, (element(X1,powerset(X2))|~in(esk14_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_69, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))). 0.22/0.46 cnf(i_0_16, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). 0.22/0.46 cnf(i_0_54, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))). 0.22/0.46 cnf(i_0_55, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))). 0.22/0.46 cnf(i_0_105, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))). 0.22/0.46 cnf(i_0_2, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_133, plain, (element(X1,X2)|~empty(X2)|~empty(X1))). 0.22/0.46 cnf(i_0_125, plain, (~in(X1,X2)|~empty(X3)|~element(X2,powerset(X3)))). 0.22/0.46 cnf(i_0_21, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))). 0.22/0.46 cnf(i_0_146, plain, (subset(X1,X2)|~in(esk25_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_107, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))). 0.22/0.46 cnf(i_0_161, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))). 0.22/0.46 cnf(i_0_151, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))). 0.22/0.46 cnf(i_0_159, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)). 0.22/0.46 cnf(i_0_75, lemma, (subset(X1,union(X2))|~in(X1,X2))). 0.22/0.46 cnf(i_0_95, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))). 0.22/0.46 cnf(i_0_192, lemma, (~in(X1,subset_complement(X2,X3))|~in(X1,X3)|~element(X3,powerset(X2)))). 0.22/0.46 cnf(i_0_85, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))). 0.22/0.46 cnf(i_0_34, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))). 0.22/0.46 cnf(i_0_1, plain, (in(X1,X2)|empty(X2)|~element(X1,X2))). 0.22/0.46 cnf(i_0_178, plain, (element(X1,X2)|~in(X1,X3)|~element(X3,powerset(X2)))). 0.22/0.46 cnf(i_0_148, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))). 0.22/0.46 cnf(i_0_142, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))). 0.22/0.46 cnf(i_0_104, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))). 0.22/0.46 cnf(i_0_13, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))). 0.22/0.46 cnf(i_0_119, lemma, (in(powerset(X1),esk21_1(X2))|~in(X1,esk21_1(X2)))). 0.22/0.46 cnf(i_0_52, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))). 0.22/0.46 cnf(i_0_158, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))). 0.22/0.46 cnf(i_0_88, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))). 0.22/0.46 cnf(i_0_170, plain, (in(X1,powerset(X2))|~subset(X1,X2))). 0.22/0.46 cnf(i_0_169, plain, (subset(X1,X2)|~in(X1,powerset(X2)))). 0.22/0.46 cnf(i_0_74, lemma, (in(esk14_2(X1,X2),X1)|element(X1,powerset(X2)))). 0.22/0.46 cnf(i_0_72, lemma, (in(X1,X2)|~in(X1,X3)|~element(X3,powerset(X2)))). 0.22/0.46 cnf(i_0_10, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))). 0.22/0.46 cnf(i_0_185, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))). 0.22/0.46 cnf(i_0_211, plain, (X1=X2|~in(esk31_2(X1,X2),X2)|~in(esk31_2(X1,X2),X1))). 0.22/0.46 cnf(i_0_44, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))). 0.22/0.46 cnf(i_0_38, lemma, (unordered_pair(X1,X1)=X2|empty_set=X2|~subset(X2,unordered_pair(X1,X1)))). 0.22/0.46 cnf(i_0_127, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))). 0.22/0.46 cnf(i_0_65, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))). 0.22/0.46 cnf(i_0_205, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X2,X3)))). 0.22/0.46 cnf(i_0_45, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))). 0.22/0.46 cnf(i_0_147, plain, (subset(X1,X2)|in(esk25_2(X1,X2),X1))). 0.22/0.46 cnf(i_0_35, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))). 0.22/0.46 cnf(i_0_41, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))). 0.22/0.46 cnf(i_0_70, lemma, (disjoint(X1,X2)|in(esk13_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_71, lemma, (disjoint(X1,X2)|in(esk13_2(X1,X2),X1))). 0.22/0.46 cnf(i_0_53, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))). 0.22/0.46 cnf(i_0_197, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))). 0.22/0.46 cnf(i_0_180, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))). 0.22/0.46 cnf(i_0_101, plain, (in(X1,esk19_2(X2,X3))|~subset(X1,X3)|~in(X3,esk18_1(X2)))). 0.22/0.46 cnf(i_0_173, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))). 0.22/0.46 cnf(i_0_102, plain, (in(esk19_2(X1,X2),esk18_1(X1))|~in(X2,esk18_1(X1)))). 0.22/0.46 cnf(i_0_168, plain, (powerset(X1)=X2|~subset(esk27_2(X1,X2),X1)|~in(esk27_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_139, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))). 0.22/0.46 cnf(i_0_137, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))). 0.22/0.46 cnf(i_0_138, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))). 0.22/0.46 cnf(i_0_80, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))). 0.22/0.46 cnf(i_0_208, plain, (X1=unordered_pair(X2,X3)|esk30_3(X2,X3,X1)!=X3|~in(esk30_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_207, plain, (X1=unordered_pair(X2,X3)|esk30_3(X2,X3,X1)!=X2|~in(esk30_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_115, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))). 0.22/0.46 cnf(i_0_179, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))). 0.22/0.46 cnf(i_0_100, plain, (are_equipotent(X1,esk18_1(X2))|in(X1,esk18_1(X2))|~subset(X1,esk18_1(X2)))). 0.22/0.46 cnf(i_0_120, lemma, (are_equipotent(X1,esk21_1(X2))|in(X1,esk21_1(X2))|~subset(X1,esk21_1(X2)))). 0.22/0.46 cnf(i_0_79, plain, (in(X1,esk17_3(X2,union(X2),X1))|~in(X1,union(X2)))). 0.22/0.46 cnf(i_0_114, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))). 0.22/0.46 cnf(i_0_155, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))). 0.22/0.46 cnf(i_0_103, plain, (in(X1,esk18_1(X2))|~subset(X1,X3)|~in(X3,esk18_1(X2)))). 0.22/0.46 cnf(i_0_118, lemma, (in(X1,esk21_1(X2))|~subset(X1,X3)|~in(X3,esk21_1(X2)))). 0.22/0.46 cnf(i_0_78, plain, (in(esk17_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))). 0.22/0.46 cnf(i_0_12, plain, (X1=unordered_pair(X2,X2)|esk2_2(X2,X1)!=X2|~in(esk2_2(X2,X1),X1))). 0.22/0.46 cnf(i_0_11, plain, (esk2_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk2_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_106, lemma, (disjoint(X1,X2)|in(esk20_2(X1,X2),set_difference(X1,set_difference(X1,X2))))). 0.22/0.46 cnf(i_0_83, plain, (union(X1)=X2|~in(esk15_2(X1,X2),X3)|~in(esk15_2(X1,X2),X2)|~in(X3,X1))). 0.22/0.46 cnf(i_0_47, plain, (X1=set_union2(X2,X3)|~in(esk7_3(X2,X3,X1),X1)|~in(esk7_3(X2,X3,X1),X3))). 0.22/0.46 cnf(i_0_76, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))). 0.22/0.46 cnf(i_0_9, plain, (complements_of_subsets(X1,X2)=X3|element(esk1_3(X1,X2,X3),powerset(X1))|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_20, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))). 0.22/0.46 cnf(i_0_188, lemma, (empty_set=X1|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))). 0.22/0.46 cnf(i_0_62, plain, (in(esk8_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). 0.22/0.46 cnf(i_0_50, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))). 0.22/0.46 cnf(i_0_48, plain, (X1=set_union2(X2,X3)|~in(esk7_3(X2,X3,X1),X1)|~in(esk7_3(X2,X3,X1),X2))). 0.22/0.46 cnf(i_0_4, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))). 0.22/0.46 cnf(i_0_3, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))). 0.22/0.46 cnf(i_0_157, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))). 0.22/0.46 cnf(i_0_36, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))). 0.22/0.46 cnf(i_0_61, plain, (in(esk9_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). 0.22/0.46 cnf(i_0_43, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))). 0.22/0.46 cnf(i_0_210, plain, (X1=X2|in(esk31_2(X1,X2),X1)|in(esk31_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_31, plain, (X1=set_difference(X2,X3)|in(esk6_3(X2,X3,X1),X1)|~in(esk6_3(X2,X3,X1),X3))). 0.22/0.46 cnf(i_0_131, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))). 0.22/0.46 cnf(i_0_167, plain, (powerset(X1)=X2|subset(esk27_2(X1,X2),X1)|in(esk27_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_81, plain, (union(X1)=X2|in(esk16_2(X1,X2),X1)|in(esk15_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_6, plain, (in(X1,complements_of_subsets(X2,X3))|~in(subset_complement(X2,X1),X3)|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2)))). 0.22/0.46 cnf(i_0_82, plain, (union(X1)=X2|in(esk15_2(X1,X2),esk16_2(X1,X2))|in(esk15_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_63, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). 0.22/0.46 cnf(i_0_206, plain, (esk30_3(X1,X2,X3)=X1|esk30_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk30_3(X1,X2,X3),X3))). 0.22/0.46 cnf(i_0_154, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk26_3(X2,X3,X1),X1)|~in(esk26_3(X2,X3,X1),X3)|~in(esk26_3(X2,X3,X1),X2))). 0.22/0.46 cnf(i_0_8, plain, (complements_of_subsets(X1,X2)=X3|~in(subset_complement(X1,esk1_3(X1,X2,X3)),X2)|~in(esk1_3(X1,X2,X3),X3)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_32, plain, (X1=set_difference(X2,X3)|in(esk6_3(X2,X3,X1),X2)|in(esk6_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_5, plain, (in(subset_complement(X1,X2),X3)|~in(X2,complements_of_subsets(X1,X3))|~element(X3,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_58, plain, (X1=cartesian_product2(X2,X3)|in(esk11_3(X2,X3,X1),X2)|in(esk10_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_57, plain, (X1=cartesian_product2(X2,X3)|in(esk12_3(X2,X3,X1),X3)|in(esk10_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_152, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk26_3(X2,X3,X1),X3)|in(esk26_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_153, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk26_3(X2,X3,X1),X2)|in(esk26_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_59, plain, (X1=cartesian_product2(X2,X3)|esk10_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk10_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). 0.22/0.46 cnf(i_0_33, plain, (X1=set_difference(X2,X3)|in(esk6_3(X2,X3,X1),X3)|~in(esk6_3(X2,X3,X1),X1)|~in(esk6_3(X2,X3,X1),X2))). 0.22/0.46 cnf(i_0_7, plain, (complements_of_subsets(X1,X2)=X3|in(subset_complement(X1,esk1_3(X1,X2,X3)),X2)|in(esk1_3(X1,X2,X3),X3)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_46, plain, (X1=set_union2(X2,X3)|in(esk7_3(X2,X3,X1),X2)|in(esk7_3(X2,X3,X1),X3)|in(esk7_3(X2,X3,X1),X1))). 0.22/0.46 cnf(i_0_56, plain, (unordered_pair(unordered_pair(esk11_3(X1,X2,X3),esk11_3(X1,X2,X3)),unordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)))=esk10_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk10_3(X1,X2,X3),X3))). 0.22/0.46 cnf(i_0_60, plain, (unordered_pair(unordered_pair(esk8_4(X1,X2,cartesian_product2(X1,X2),X3),esk8_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk8_4(X1,X2,cartesian_product2(X1,X2),X3),esk9_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). 0.22/0.46 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.22/0.46 # Begin printing tableau 0.22/0.46 # Found 5 steps 0.22/0.46 cnf(i_0_122, negated_conjecture, (esk23_0!=empty_set), inference(start_rule)). 0.22/0.46 cnf(i_0_249, plain, (esk23_0!=empty_set), inference(extension_rule, [i_0_210])). 0.22/0.46 cnf(i_0_532, plain, (in(esk31_2(esk23_0,empty_set),empty_set)), inference(closure_rule, [i_0_28])). 0.22/0.46 cnf(i_0_531, plain, (in(esk31_2(esk23_0,empty_set),esk23_0)), inference(extension_rule, [i_0_193])). 0.22/0.46 cnf(i_0_615, plain, (~empty(esk23_0)), inference(etableau_closure_rule, [i_0_615, ...])). 0.22/0.46 # End printing tableau 0.22/0.46 # SZS output end 0.22/0.46 # Branches closed with saturation will be marked with an "s" 0.22/0.46 # There were 1 total branch saturation attempts. 0.22/0.46 # There were 0 of these attempts blocked. 0.22/0.46 # There were 0 deferred branch saturation attempts. 0.22/0.46 # There were 0 free duplicated saturations. 0.22/0.46 # There were 1 total successful branch saturations. 0.22/0.46 # There were 0 successful branch saturations in interreduction. 0.22/0.46 # There were 0 successful branch saturations on the branch. 0.22/0.46 # There were 1 successful branch saturations after the branch. 0.22/0.46 # There were 1 total branch saturation attempts. 0.22/0.46 # There were 0 of these attempts blocked. 0.22/0.46 # There were 0 deferred branch saturation attempts. 0.22/0.46 # There were 0 free duplicated saturations. 0.22/0.46 # There were 1 total successful branch saturations. 0.22/0.46 # There were 0 successful branch saturations in interreduction. 0.22/0.46 # There were 0 successful branch saturations on the branch. 0.22/0.46 # There were 1 successful branch saturations after the branch. 0.22/0.46 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.46 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.46 # Begin clausification derivation 0.22/0.46 0.22/0.46 # End clausification derivation 0.22/0.46 # Begin listing active clauses obtained from FOF to CNF conversion 0.22/0.46 cnf(i_0_123, negated_conjecture, (complements_of_subsets(esk22_0,esk23_0)=empty_set)). 0.22/0.46 cnf(i_0_124, negated_conjecture, (element(esk23_0,powerset(powerset(esk22_0))))). 0.22/0.46 cnf(i_0_150, plain, (empty(empty_set))). 0.22/0.46 cnf(i_0_164, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))). 0.22/0.46 cnf(i_0_27, plain, (empty(esk3_0))). 0.22/0.46 cnf(i_0_209, plain, (set_difference(empty_set,X1)=empty_set)). 0.22/0.46 cnf(i_0_23, lemma, (subset(empty_set,X1))). 0.22/0.46 cnf(i_0_198, plain, (empty(esk29_1(X1)))). 0.22/0.46 cnf(i_0_19, lemma, (union(powerset(X1))=X1)). 0.22/0.46 cnf(i_0_108, plain, (set_difference(X1,empty_set)=X1)). 0.22/0.46 cnf(i_0_51, plain, (set_union2(X1,empty_set)=X1)). 0.22/0.46 cnf(i_0_181, plain, (subset(X1,X1))). 0.22/0.46 cnf(i_0_30, plain, (element(esk5_1(X1),X1))). 0.22/0.46 cnf(i_0_199, plain, (element(esk29_1(X1),powerset(X1)))). 0.22/0.46 cnf(i_0_130, plain, (set_union2(X1,X1)=X1)). 0.22/0.46 cnf(i_0_99, plain, (in(X1,esk18_1(X1)))). 0.22/0.46 cnf(i_0_121, lemma, (in(X1,esk21_1(X1)))). 0.22/0.46 cnf(i_0_174, plain, (set_difference(X1,X1)=empty_set)). 0.22/0.46 cnf(i_0_25, lemma, (subset(X1,set_union2(X1,X2)))). 0.22/0.46 cnf(i_0_42, lemma, (subset(set_difference(X1,X2),X1))). 0.22/0.46 cnf(i_0_22, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))). 0.22/0.46 cnf(i_0_204, plain, (in(X1,unordered_pair(X2,X1)))). 0.22/0.46 cnf(i_0_203, plain, (in(X1,unordered_pair(X1,X2)))). 0.22/0.46 cnf(i_0_149, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))). 0.22/0.46 cnf(i_0_141, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). 0.22/0.46 cnf(i_0_160, plain, (set_union2(X1,X2)=set_union2(X2,X1))). 0.22/0.46 cnf(i_0_201, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))). 0.22/0.46 cnf(i_0_122, negated_conjecture, (esk23_0!=empty_set)). 0.22/0.46 cnf(i_0_144, plain, (~empty(esk24_0))). 0.22/0.46 cnf(i_0_26, plain, (~proper_subset(X1,X1))). 0.22/0.46 cnf(i_0_24, plain, (~empty(powerset(X1)))). 0.22/0.46 cnf(i_0_132, lemma, (unordered_pair(X1,X1)!=empty_set)). 0.22/0.46 cnf(i_0_28, plain, (~in(X1,empty_set))). 0.22/0.46 cnf(i_0_166, plain, (~empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))))). 0.22/0.46 cnf(i_0_129, plain, (X1=empty_set|~empty(X1))). 0.22/0.46 cnf(i_0_84, lemma, (empty_set=X1|~subset(X1,empty_set))). 0.22/0.46 cnf(i_0_200, lemma, (~proper_subset(X1,X2)|~subset(X2,X1))). 0.22/0.46 cnf(i_0_193, plain, (~in(X1,X2)|~empty(X2))). 0.22/0.46 cnf(i_0_111, plain, (~in(X1,X2)|~in(X2,X1))). 0.22/0.46 cnf(i_0_98, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))). 0.22/0.46 cnf(i_0_195, plain, (empty(X1)|~empty(esk28_1(X1)))). 0.22/0.46 cnf(i_0_94, plain, (subset(X1,X2)|~proper_subset(X1,X2))). 0.22/0.46 cnf(i_0_68, plain, (element(X1,X2)|~in(X1,X2))). 0.22/0.46 cnf(i_0_92, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). 0.22/0.46 cnf(i_0_91, plain, (element(X1,powerset(X2))|~subset(X1,X2))). 0.22/0.46 cnf(i_0_145, plain, (X1=X2|~empty(X2)|~empty(X1))). 0.22/0.46 cnf(i_0_89, plain, (empty(X1)|~empty(set_union2(X2,X1)))). 0.22/0.46 cnf(i_0_49, plain, (empty(X1)|~empty(set_union2(X1,X2)))). 0.22/0.46 cnf(i_0_128, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))). 0.22/0.46 cnf(i_0_172, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))). 0.22/0.46 cnf(i_0_67, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)). 0.22/0.46 cnf(i_0_66, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))). 0.22/0.46 cnf(i_0_29, plain, (empty_set=X1|in(esk4_1(X1),X1))). 0.22/0.46 cnf(i_0_117, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))). 0.22/0.46 cnf(i_0_116, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)). 0.22/0.46 cnf(i_0_202, plain, (disjoint(X1,X2)|~disjoint(X2,X1))). 0.22/0.46 cnf(i_0_126, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 0.22/0.46 cnf(i_0_196, plain, (empty(X1)|element(esk28_1(X1),powerset(X1)))). 0.22/0.46 cnf(i_0_134, plain, (empty(X1)|~empty(X2)|~element(X1,X2))). 0.22/0.46 cnf(i_0_73, lemma, (element(X1,powerset(X2))|~in(esk14_2(X1,X2),X2))). 0.22/0.46 cnf(i_0_69, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))). 0.22/0.46 cnf(i_0_16, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). 0.22/0.46 cnf(i_0_54, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))). 0.22/0.46 cnf(i_0_55, lemma, (in(X1,X2)|~subset(unor# Child (3613) has found a proof. 0.22/0.46 0.22/0.47 # Proof search is over... 0.22/0.47 # Freeing feature tree 0.22/0.47 EOF