0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.13/0.35 Computer : n018.cluster.edu 0.13/0.35 Model : x86_64 x86_64 0.13/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 RAMPerCPU : 8042.1875MB 0.13/0.35 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 03:33:30 EDT 2022 0.13/0.35 % CPUTime : 0.21/0.41 # No SInE strategy applied 0.21/0.41 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 0.21/0.41 # and selection function SelectNewComplexAHP. 0.21/0.41 # 0.21/0.41 # Presaturation interreduction done 0.21/0.41 # Number of axioms: 238 Number of unprocessed: 207 0.21/0.41 # Tableaux proof search. 0.21/0.41 # APR header successfully linked. 0.21/0.41 # Hello from C++ 0.21/0.42 # The folding up rule is enabled... 0.21/0.42 # Local unification is enabled... 0.21/0.42 # Any saturation attempts will use folding labels... 0.21/0.42 # 207 beginning clauses after preprocessing and clausification 0.21/0.42 # Creating start rules for all 3 conjectures. 0.21/0.42 # There are 3 start rule candidates: 0.21/0.42 # Found 37 unit axioms. 0.21/0.42 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. 0.21/0.42 # 3 start rule tableaux created. 0.21/0.42 # 170 extension rule candidate clauses 0.21/0.42 # 37 unit axiom clauses 0.21/0.42 0.21/0.42 # Requested 8, 32 cores available to the main process. 0.21/0.42 # There are not enough tableaux to fork, creating more from the initial 3 0.21/0.42 # Returning from population with 19 new_tableaux and 0 remaining starting tableaux. 0.21/0.42 # We now have 19 tableaux to operate on 4.35/1.15 # There were 1 total branch saturation attempts. 4.35/1.15 # There were 0 of these attempts blocked. 4.35/1.15 # There were 0 deferred branch saturation attempts. 4.35/1.15 # There were 0 free duplicated saturations. 4.35/1.15 # There were 1 total successful branch saturations. 4.35/1.15 # There were 0 successful branch saturations in interreduction. 4.35/1.15 # There were 0 successful branch saturations on the branch. 4.35/1.15 # There were 1 successful branch saturations after the branch. 4.35/1.15 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.35/1.15 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.35/1.15 # Begin clausification derivation 4.35/1.15 4.35/1.15 # End clausification derivation 4.35/1.15 # Begin listing active clauses obtained from FOF to CNF conversion 4.35/1.15 cnf(i_0_161, negated_conjecture, (relation(esk26_0))). 4.35/1.15 cnf(i_0_214, plain, (relation(esk42_0))). 4.35/1.15 cnf(i_0_144, plain, (empty(empty_set))). 4.35/1.15 cnf(i_0_99, plain, (empty(esk15_0))). 4.35/1.15 cnf(i_0_213, plain, (empty(esk42_0))). 4.35/1.15 cnf(i_0_22, plain, (empty(esk6_1(X1)))). 4.35/1.15 cnf(i_0_244, lemma, (subset(empty_set,X1))). 4.35/1.15 cnf(i_0_205, plain, (subset(X1,X1))). 4.35/1.15 cnf(i_0_1, lemma, (in(X1,esk1_1(X1)))). 4.35/1.15 cnf(i_0_114, plain, (in(X1,esk17_1(X1)))). 4.35/1.15 cnf(i_0_32, lemma, (union(powerset(X1))=X1)). 4.35/1.15 cnf(i_0_151, plain, (set_difference(empty_set,X1)=empty_set)). 4.35/1.15 cnf(i_0_139, plain, (set_union2(X1,empty_set)=X1)). 4.35/1.15 cnf(i_0_52, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))). 4.35/1.15 cnf(i_0_42, plain, (set_difference(X1,empty_set)=X1)). 4.35/1.15 cnf(i_0_231, plain, (set_union2(X1,X1)=X1)). 4.35/1.15 cnf(i_0_248, plain, (element(X1,powerset(X1)))). 4.35/1.15 cnf(i_0_82, plain, (element(esk11_1(X1),X1))). 4.35/1.15 cnf(i_0_23, plain, (element(esk6_1(X1),powerset(X1)))). 4.35/1.15 cnf(i_0_176, lemma, (subset(X1,set_union2(X1,X2)))). 4.35/1.15 cnf(i_0_227, lemma, (subset(set_difference(X1,X2),X1))). 4.35/1.15 cnf(i_0_72, plain, (set_difference(X1,X1)=empty_set)). 4.35/1.15 cnf(i_0_140, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))). 4.35/1.15 cnf(i_0_162, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))). 4.35/1.15 cnf(i_0_24, plain, (set_meet(empty_set)=empty_set)). 4.35/1.15 cnf(i_0_91, plain, (in(X1,unordered_pair(X2,X1)))). 4.35/1.15 cnf(i_0_160, negated_conjecture, (in(unordered_pair(unordered_pair(esk24_0,esk24_0),unordered_pair(esk24_0,esk25_0)),esk26_0))). 4.35/1.15 cnf(i_0_90, plain, (in(X1,unordered_pair(X1,X2)))). 4.35/1.15 cnf(i_0_94, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). 4.35/1.15 cnf(i_0_223, plain, (set_union2(X1,X2)=set_union2(X2,X1))). 4.35/1.15 cnf(i_0_80, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))). 4.35/1.15 cnf(i_0_83, plain, (~empty(esk12_0))). 4.35/1.15 cnf(i_0_138, plain, (~empty(powerset(X1)))). 4.35/1.15 cnf(i_0_121, plain, (~proper_subset(X1,X1))). 4.35/1.15 cnf(i_0_133, lemma, (unordered_pair(X1,X1)!=empty_set)). 4.35/1.15 cnf(i_0_232, plain, (~empty(unordered_pair(X1,X2)))). 4.35/1.15 cnf(i_0_184, plain, (~in(X1,empty_set))). 4.35/1.15 cnf(i_0_159, negated_conjecture, (~in(esk24_0,relation_field(esk26_0))|~in(esk25_0,relation_field(esk26_0)))). 4.35/1.15 cnf(i_0_247, plain, (empty_set=X1|~empty(X1))). 4.35/1.15 cnf(i_0_245, plain, (~empty(X1)|~in(X2,X1))). 4.35/1.15 cnf(i_0_113, lemma, (~proper_subset(X1,X2)|~subset(X2,X1))). 4.35/1.15 cnf(i_0_165, plain, (empty(X1)|~empty(esk27_1(X1)))). 4.35/1.15 cnf(i_0_204, plain, (~in(X1,X2)|~in(X2,X1))). 4.35/1.15 cnf(i_0_198, lemma, (empty_set=X1|~subset(X1,empty_set))). 4.35/1.15 cnf(i_0_170, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))). 4.35/1.15 cnf(i_0_109, plain, (empty(X1)|~empty(set_union2(X2,X1)))). 4.35/1.15 cnf(i_0_79, plain, (empty(X1)|~empty(set_union2(X1,X2)))). 4.35/1.15 cnf(i_0_111, plain, (subset(X1,X2)|~proper_subset(X1,X2))). 4.35/1.15 cnf(i_0_142, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))). 4.35/1.15 cnf(i_0_177, plain, (relation(X1)|in(esk33_1(X1),X1))). 4.35/1.15 cnf(i_0_167, plain, (element(X1,X2)|~in(X1,X2))). 4.35/1.15 cnf(i_0_225, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))). 4.35/1.15 cnf(i_0_100, lemma, (X1=X2|unordered_pair(X1,X3)!=unordered_pair(X2,X2))). 4.35/1.15 cnf(i_0_105, plain, (X1=X2|~empty(X2)|~empty(X1))). 4.35/1.15 cnf(i_0_185, plain, (empty_set=X1|in(esk34_1(X1),X1))). 4.35/1.15 cnf(i_0_181, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)). 4.35/1.15 cnf(i_0_228, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). 4.35/1.15 cnf(i_0_186, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))). 4.35/1.15 cnf(i_0_143, plain, (relation(set_union2(X1,X2))|~relation(X1)|~relation(X2))). 4.35/1.15 cnf(i_0_56, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))). 4.35/1.15 cnf(i_0_57, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))). 4.35/1.15 cnf(i_0_76, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))). 4.35/1.15 cnf(i_0_128, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). 4.35/1.15 cnf(i_0_77, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)). 4.35/1.15 cnf(i_0_46, plain, (empty(X1)|~empty(X2)|~element(X1,X2))). 4.35/1.15 cnf(i_0_254, plain, (subset(X1,X2)|~in(esk45_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_53, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))). 4.35/1.15 cnf(i_0_235, lemma, (~disjoint(X1,X2)|~in(X3,X1)|~in(X3,X2))). 4.35/1.15 cnf(i_0_45, plain, (element(X1,X2)|~empty(X2)|~empty(X1))). 4.35/1.15 cnf(i_0_211, plain, (disjoint(X1,X2)|~disjoint(X2,X1))). 4.35/1.15 cnf(i_0_95, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))). 4.35/1.15 cnf(i_0_132, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). 4.35/1.15 cnf(i_0_150, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))). 4.35/1.15 cnf(i_0_178, plain, (relation(X1)|esk33_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))). 4.35/1.15 cnf(i_0_182, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))). 4.35/1.15 cnf(i_0_55, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))). 4.35/1.15 cnf(i_0_164, plain, (empty(X1)|element(esk27_1(X1),powerset(X1)))). 4.35/1.15 cnf(i_0_108, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))). 4.35/1.15 cnf(i_0_78, lemma, (subset(X1,union(X2))|~in(X1,X2))). 4.35/1.15 cnf(i_0_229, plain, (element(X1,powerset(X2))|~subset(X1,X2))). 4.35/1.15 cnf(i_0_70, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))). 4.35/1.15 cnf(i_0_246, lemma, (X1=X2|X3=X2|unordered_pair(X1,X3)!=unordered_pair(X2,X4))). 4.35/1.15 cnf(i_0_148, lemma, (element(X1,powerset(X2))|~in(esk23_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_47, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). 4.35/1.15 cnf(i_0_183, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))). 4.35/1.15 cnf(i_0_60, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)). 4.35/1.15 cnf(i_0_119, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))). 4.35/1.15 cnf(i_0_43, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). 4.35/1.15 cnf(i_0_112, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))). 4.35/1.15 cnf(i_0_188, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))). 4.35/1.15 cnf(i_0_253, plain, (in(X1,X2)|~in(X1,X3)|~subset(X3,X2))). 4.35/1.15 cnf(i_0_50, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))). 4.35/1.15 cnf(i_0_171, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_3, lemma, (in(powerset(X1),esk1_1(X2))|~in(X1,esk1_1(X2)))). 4.35/1.15 cnf(i_0_255, plain, (in(esk45_2(X1,X2),X1)|subset(X1,X2))). 4.35/1.15 cnf(i_0_129, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_92, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))). 4.35/1.15 cnf(i_0_69, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). 4.35/1.15 cnf(i_0_233, lemma, (disjoint(X1,X2)|in(esk43_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_166, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))). 4.35/1.15 cnf(i_0_58, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))). 4.35/1.15 cnf(i_0_38, lemma, (unordered_pair(X1,X1)=X2|X2=empty_set|~subset(X2,unordered_pair(X1,X1)))). 4.35/1.15 cnf(i_0_234, lemma, (disjoint(X1,X2)|in(esk43_2(X1,X2),X1))). 4.35/1.15 cnf(i_0_252, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). 4.35/1.15 cnf(i_0_102, plain, (X1=X2|~in(esk16_2(X1,X2),X2)|~in(esk16_2(X1,X2),X1))). 4.35/1.15 cnf(i_0_187, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))). 4.35/1.15 cnf(i_0_157, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). 4.35/1.15 cnf(i_0_156, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). 4.35/1.15 cnf(i_0_149, lemma, (element(X1,powerset(X2))|in(esk23_2(X1,X2),X1))). 4.35/1.15 cnf(i_0_59, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))). 4.35/1.15 cnf(i_0_98, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))). 4.35/1.15 cnf(i_0_104, lemma, (subset(set_union2(X1,X2),X3)|~subset(X1,X3)|~subset(X2,X3))). 4.35/1.15 cnf(i_0_117, plain, (in(esk18_2(X1,X2),esk17_1(X1))|~in(X2,esk17_1(X1)))). 4.35/1.15 cnf(i_0_6, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))). 4.35/1.15 cnf(i_0_5, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))). 4.35/1.15 cnf(i_0_41, lemma, (subset(relation_dom(X1),relation_dom(X2))|~relation(X2)|~relation(X1)|~subset(X1,X2))). 4.35/1.15 cnf(i_0_147, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))). 4.35/1.15 cnf(i_0_168, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))). 4.35/1.15 cnf(i_0_40, lemma, (subset(relation_rng(X1),relation_rng(X2))|~relation(X2)|~relation(X1)|~subset(X1,X2))). 4.35/1.15 cnf(i_0_217, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))). 4.35/1.15 cnf(i_0_20, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))). 4.35/1.15 cnf(i_0_249, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_116, plain, (in(X1,esk18_2(X2,X3))|~in(X3,esk17_1(X2))|~subset(X1,X3))). 4.35/1.15 cnf(i_0_218, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)))). 4.35/1.15 cnf(i_0_219, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))). 4.35/1.15 cnf(i_0_257, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))). 4.35/1.15 cnf(i_0_201, plain, (powerset(X1)=X2|~in(esk40_2(X1,X2),X2)|~subset(esk40_2(X1,X2),X1))). 4.35/1.15 cnf(i_0_4, lemma, (in(X1,esk1_1(X2))|~in(X3,esk1_1(X2))|~subset(X1,X3))). 4.35/1.15 cnf(i_0_115, plain, (in(X1,esk17_1(X2))|~in(X3,esk17_1(X2))|~subset(X1,X3))). 4.35/1.15 cnf(i_0_54, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_256, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))). 4.35/1.15 cnf(i_0_207, plain, (unordered_pair(X1,X1)=X2|esk41_2(X1,X2)!=X1|~in(esk41_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_206, plain, (unordered_pair(X1,X1)=X2|esk41_2(X1,X2)=X1|in(esk41_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_97, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))). 4.35/1.15 cnf(i_0_93, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_88, plain, (unordered_pair(X1,X2)=X3|esk13_3(X1,X2,X3)!=X2|~in(esk13_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_87, plain, (unordered_pair(X1,X2)=X3|esk13_3(X1,X2,X3)!=X1|~in(esk13_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_2, lemma, (are_equipotent(X1,esk1_1(X2))|in(X1,esk1_1(X2))|~subset(X1,esk1_1(X2)))). 4.35/1.15 cnf(i_0_118, plain, (are_equipotent(X1,esk17_1(X2))|in(X1,esk17_1(X2))|~subset(X1,esk17_1(X2)))). 4.35/1.15 cnf(i_0_16, plain, (X1=union(X2)|~in(esk4_2(X2,X1),X3)|~in(esk4_2(X2,X1),X1)|~in(X3,X2))). 4.35/1.15 cnf(i_0_152, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_169, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))). 4.35/1.15 cnf(i_0_212, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 4.35/1.15 cnf(i_0_21, lemma, (in(X1,X2)|subset(X2,set_difference(X3,unordered_pair(X1,X1)))|~subset(X2,X3))). 4.35/1.15 cnf(i_0_101, plain, (X1=X2|in(esk16_2(X1,X2),X1)|in(esk16_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_96, lemma, (disjoint(X1,X2)|in(esk14_2(X1,X2),set_difference(X1,set_difference(X1,X2))))). 4.35/1.15 cnf(i_0_216, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))). 4.35/1.15 cnf(i_0_158, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))). 4.35/1.15 cnf(i_0_10, plain, (X1=set_union2(X2,X3)|~in(esk2_3(X2,X3,X1),X1)|~in(esk2_3(X2,X3,X1),X3))). 4.35/1.15 cnf(i_0_9, plain, (X1=set_union2(X2,X3)|~in(esk2_3(X2,X3,X1),X1)|~in(esk2_3(X2,X3,X1),X2))). 4.35/1.15 cnf(i_0_27, plain, (set_meet(X1)=X2|X1=empty_set|~in(esk8_2(X1,X2),esk9_2(X1,X2))|~in(esk8_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_7, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X1,X3)|~in(X2,X4))). 4.35/1.15 cnf(i_0_210, lemma, (empty_set=X1|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))). 4.35/1.15 cnf(i_0_15, plain, (X1=union(X2)|in(esk5_2(X2,X1),X2)|in(esk4_2(X2,X1),X1))). 4.35/1.15 cnf(i_0_14, plain, (X1=union(X2)|in(esk4_2(X2,X1),esk5_2(X2,X1))|in(esk4_2(X2,X1),X1))). 4.35/1.15 cnf(i_0_199, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 4.35/1.15 cnf(i_0_175, plain, (relation_rng(X1)=X2|~relation(X1)|~in(unordered_pair(unordered_pair(X3,esk28_2(X1,X2)),unordered_pair(X3,X3)),X1)|~in(esk28_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_28, plain, (set_meet(X1)=X2|X1=empty_set|in(esk9_2(X1,X2),X1)|~in(esk8_2(X1,X2),X2))). 4.35/1.15 cnf(i_0_226, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))). 4.35/1.15 cnf(i_0_200, plain, (powerset(X1)=X2|in(esk40_2(X1,X2),X2)|subset(esk40_2(X1,X2),X1))). 4.35/1.15 cnf(i_0_237, plain, (set_difference(X1,X2)=X3|in(esk44_3(X1,X2,X3),X3)|~in(esk44_3(X1,X2,X3),X2))). 4.35/1.15 cnf(i_0_137, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk20_2(X2,X1),X3),unordered_pair(esk20_2(X2,X1),esk20_2(X2,X1))),X2)|~in(esk20_2(X2,X1),X1))). 4.35/1.15 cnf(i_0_26, plain, (set_meet(X1)=X2|X1=empty_set|in(esk8_2(X1,X2),X2)|in(esk8_2(X1,X2),X3)|~in(X3,X1))). 4.35/1.15 cnf(i_0_120, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|empty_set=X2|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_85, lemma, (subset_difference(X1,X1,union_of_subsets(X1,X2))=meet_of_subsets(X1,complements_of_subsets(X1,X2))|empty_set=X2|~element(X2,powerset(powerset(X1))))). 4.35/1.15 cnf(i_0_63, plain, (X1=complements_of_subsets(X2,X3)|element(esk10_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))). 4.35/1.15 cnf(i_0_127, plain, (set_difference(X1,set_difference(X1,X2))=X3|~in(esk19_3(X1,X2,X3),X3)|~in(esk19_3(X1,X2,X3),X2)|~in(esk19_3(X1,X2,X3),X1))). 4.35/1.15 cnf(i_0_193, plain, (X1=cartesian_product2(X2,X3)|in(esk36_3(X2,X3,X1),X2)|in(esk35_3(X2,X3,X1),X1))). 4.35/1.15 cnf(i_0_194, plain, (X1=cartesian_product2(X2,X3)|in(esk37_3(X2,X3,X1),X3)|in(esk35_3(X2,X3,X1),X1))). 4.35/1.15 cnf(i_0_238, plain, (set_difference(X1,X2)=X3|in(esk44_3(X1,X2,X3),X1)|in(esk44_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_86, plain, (esk13_3(X1,X2,X3)=X1|esk13_3(X1,X2,X3)=X2|unordered_pair(X1,X2)=X3|in(esk13_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_125, plain, (set_difference(X1,set_difference(X1,X2))=X3|in(esk19_3(X1,X2,X3),X1)|in(esk19_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_179, plain, (unordered_pair(unordered_pair(esk31_2(X1,X2),esk31_2(X1,X2)),unordered_pair(esk31_2(X1,X2),esk32_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))). 4.35/1.15 cnf(i_0_62, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk10_3(X2,X3,X1)),X3)|~in(esk10_3(X2,X3,X1),X1))). 4.35/1.15 cnf(i_0_196, plain, (X1=cartesian_product2(X2,X3)|esk35_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk35_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). 4.35/1.15 cnf(i_0_239, plain, (set_difference(X1,X2)=X3|in(esk44_3(X1,X2,X3),X2)|~in(esk44_3(X1,X2,X3),X3)|~in(esk44_3(X1,X2,X3),X1))). 4.35/1.15 cnf(i_0_126, plain, (set_difference(X1,set_difference(X1,X2))=X3|in(esk19_3(X1,X2,X3),X2)|in(esk19_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_8, plain, (X1=set_union2(X2,X3)|in(esk2_3(X2,X3,X1),X2)|in(esk2_3(X2,X3,X1),X3)|in(esk2_3(X2,X3,X1),X1))). 4.35/1.15 cnf(i_0_136, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk20_2(X2,X1),esk20_2(X2,X1)),unordered_pair(esk20_2(X2,X1),esk21_2(X2,X1))),X2)|in(esk20_2(X2,X1),X1)|~relation(X2))). 4.35/1.15 cnf(i_0_174, plain, (relation_rng(X1)=X2|in(unordered_pair(unordered_pair(esk28_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2))),X1)|in(esk28_2(X1,X2),X2)|~relation(X1))). 4.35/1.15 cnf(i_0_61, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk10_3(X2,X3,X1)),X3)|in(esk10_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))). 4.35/1.15 cnf(i_0_195, plain, (unordered_pair(unordered_pair(esk36_3(X1,X2,X3),esk36_3(X1,X2,X3)),unordered_pair(esk36_3(X1,X2,X3),esk37_3(X1,X2,X3)))=esk35_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk35_3(X1,X2,X3),X3))). 4.35/1.15 cnf(i_0_208, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))). 4.35/1.15 cnf(i_0_241, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))). 4.35/1.15 cnf(i_0_202, plain, (subset(X1,X2)|~in(X1,powerset(X2)))). 4.35/1.15 cnf(i_0_242, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))). 4.35/1.15 cnf(i_0_203, plain, (in(X1,powerset(X2))|~subset(X1,X2))). 4.35/1.15 cnf(i_0_123, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))). 4.35/1.15 cnf(i_0_13, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))). 4.35/1.15 cnf(i_0_89, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X2,X3)))). 4.35/1.15 cnf(i_0_12, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))). 4.35/1.15 cnf(i_0_11, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X2,X3)))). 4.35/1.15 cnf(i_0_17, plain, (in(X1,union(X2))|~in(X1,X3)|~in(X3,X2))). 4.35/1.15 cnf(i_0_31, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))). 4.35/1.15 cnf(i_0_240, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))). 4.35/1.15 cnf(i_0_29, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk7_3(X1,set_meet(X1),X2)))). 4.35/1.15 cnf(i_0_18, plain, (in(X1,esk3_3(X2,union(X2),X1))|~in(X1,union(X2)))). 4.35/1.15 cnf(i_0_19, plain, (in(esk3_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))). 4.35/1.15 cnf(i_0_124, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X2)|~in(X1,X3))). 4.35/1.15 cnf(i_0_30, plain, (X1=empty_set|in(esk7_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))). 4.35/1.15 cnf(i_0_189, plain, (in(esk38_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). 4.35/1.15 cnf(i_0_190, plain, (in(esk39_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). 4.35/1.15 cnf(i_0_135, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk22_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))). 4.35/1.15 cnf(i_0_64, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))). 4.35/1.15 cnf(i_0_65, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))). 4.35/1.15 cnf(i_0_172, plain, (in(unordered_pair(unordered_pair(X1,esk30_3(X2,relation_rng(X2),X1)),unordered_pair(esk30_3(X2,relation_rng(X2),X1),esk30_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))). 4.35/1.15 cnf(i_0_191, plain, (unordered_pair(unordered_pair(esk38_4(X1,X2,cartesian_product2(X1,X2),X3),esk38_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk38_4(X1,X2,cartesian_product2(X1,X2),X3),esk39_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). 4.35/1.15 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 4.35/1.15 # Begin printing tableau 4.35/1.15 # Found 5 steps 4.35/1.15 cnf(i_0_161, negated_conjecture, (relation(esk26_0)), inference(start_rule)). 4.35/1.15 cnf(i_0_309, plain, (relation(esk26_0)), inference(extension_rule, [i_0_143])). 4.35/1.15 cnf(i_0_810, plain, (~relation(esk42_0)), inference(closure_rule, [i_0_214])). 4.35/1.15 cnf(i_0_808, plain, (relation(set_union2(esk26_0,esk42_0))), inference(extension_rule, [i_0_47])). 4.35/1.15 cnf(i_0_908, plain, (set_union2(relation_dom(set_union2(esk26_0,esk42_0)),relation_rng(set_union2(esk26_0,esk42_0)))=relation_field(set_union2(esk26_0,esk42_0))), inference(etableau_closure_rule, [i_0_908, ...])). 4.35/1.15 # End printing tableau 4.35/1.15 # SZS output end 4.35/1.15 # Branches closed with saturation will be marked with an "s" 4.35/1.15 # Child (31093) has found a proof. 4.35/1.15 4.35/1.15 # Proof search is over... 4.35/1.15 # Freeing feature tree 4.35/1.16 EOF