%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU188+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 : n032.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 09:24:36 EDT 2022 % Result : Theorem 0.11s 0.41s % Output : CNFRefutation 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEU188+2 : TPTP v8.1.0. Released v3.3.0. % 0.00/0.08 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.07/0.26 % Computer : n032.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 600 % 0.07/0.26 % DateTime : Sun Jun 19 23:02:18 EDT 2022 % 0.07/0.26 % CPUTime : % 0.11/0.33 # No SInE strategy applied % 0.11/0.33 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S % 0.11/0.33 # and selection function SelectNewComplexAHP. % 0.11/0.33 # % 0.11/0.33 # Presaturation interreduction done % 0.11/0.33 # Number of axioms: 273 Number of unprocessed: 241 % 0.11/0.33 # Tableaux proof search. % 0.11/0.33 # APR header successfully linked. % 0.11/0.33 # Hello from C++ % 0.11/0.33 # The folding up rule is enabled... % 0.11/0.33 # Local unification is enabled... % 0.11/0.33 # Any saturation attempts will use folding labels... % 0.11/0.33 # 241 beginning clauses after preprocessing and clausification % 0.11/0.33 # Creating start rules for all 3 conjectures. % 0.11/0.33 # There are 3 start rule candidates: % 0.11/0.33 # Found 42 unit axioms. % 0.11/0.33 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.11/0.33 # 3 start rule tableaux created. % 0.11/0.33 # 199 extension rule candidate clauses % 0.11/0.33 # 42 unit axiom clauses % 0.11/0.33 % 0.11/0.33 # Requested 8, 32 cores available to the main process. % 0.11/0.33 # There are not enough tableaux to fork, creating more from the initial 3 % 0.11/0.33 # Returning from population with 31 new_tableaux and 0 remaining starting tableaux. % 0.11/0.33 # We now have 31 tableaux to operate on % 0.11/0.41 # There were 1 total branch saturation attempts. % 0.11/0.41 # There were 0 of these attempts blocked. % 0.11/0.41 # There were 0 deferred branch saturation attempts. % 0.11/0.41 # There were 0 free duplicated saturations. % 0.11/0.41 # There were 1 total successful branch saturations. % 0.11/0.41 # There were 0 successful branch saturations in interreduction. % 0.11/0.41 # There were 0 successful branch saturations on the branch. % 0.11/0.41 # There were 1 successful branch saturations after the branch. % 0.11/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.41 # Begin clausification derivation % 0.11/0.41 % 0.11/0.41 # End clausification derivation % 0.11/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.11/0.41 cnf(i_0_267, lemma, (relation_dom(empty_set)=empty_set)). % 0.11/0.41 cnf(i_0_266, lemma, (relation_rng(empty_set)=empty_set)). % 0.11/0.41 cnf(i_0_140, plain, (relation(empty_set))). % 0.11/0.41 cnf(i_0_272, negated_conjecture, (relation(esk50_0))). % 0.11/0.41 cnf(i_0_133, plain, (empty(empty_set))). % 0.11/0.41 cnf(i_0_174, plain, (relation(esk38_0))). % 0.11/0.41 cnf(i_0_179, plain, (relation(esk41_0))). % 0.11/0.41 cnf(i_0_206, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))). % 0.11/0.41 cnf(i_0_175, plain, (empty(esk38_0))). % 0.11/0.41 cnf(i_0_178, plain, (empty(esk40_0))). % 0.11/0.41 cnf(i_0_258, plain, (set_difference(empty_set,X1)=empty_set)). % 0.11/0.41 cnf(i_0_218, lemma, (subset(empty_set,X1))). % 0.11/0.41 cnf(i_0_203, plain, (set_union2(X1,empty_set)=X1)). % 0.11/0.41 cnf(i_0_238, plain, (set_difference(X1,empty_set)=X1)). % 0.11/0.41 cnf(i_0_181, plain, (empty(esk42_1(X1)))). % 0.11/0.41 cnf(i_0_187, plain, (subset(X1,X1))). % 0.11/0.41 cnf(i_0_286, lemma, (union(powerset(X1))=X1)). % 0.11/0.41 cnf(i_0_149, plain, (set_union2(X1,X1)=X1)). % 0.11/0.41 cnf(i_0_200, lemma, (in(X1,esk44_1(X1)))). % 0.11/0.41 cnf(i_0_291, plain, (in(X1,esk51_1(X1)))). % 0.11/0.41 cnf(i_0_114, plain, (element(X1,powerset(X1)))). % 0.11/0.41 cnf(i_0_131, plain, (element(esk36_1(X1),X1))). % 0.11/0.41 cnf(i_0_214, plain, (set_difference(X1,X1)=empty_set)). % 0.11/0.41 cnf(i_0_182, plain, (element(esk42_1(X1),powerset(X1)))). % 0.11/0.41 cnf(i_0_279, lemma, (subset(X1,set_union2(X1,X2)))). % 0.11/0.41 cnf(i_0_224, lemma, (subset(set_difference(X1,X2),X1))). % 0.11/0.41 cnf(i_0_234, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))). % 0.11/0.41 cnf(i_0_245, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))). % 0.11/0.41 cnf(i_0_13, plain, (set_meet(empty_set)=empty_set)). % 0.11/0.41 cnf(i_0_38, plain, (in(X1,unordered_pair(X2,X1)))). % 0.11/0.41 cnf(i_0_39, plain, (in(X1,unordered_pair(X1,X2)))). % 0.11/0.41 cnf(i_0_4, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.11/0.41 cnf(i_0_5, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.11/0.41 cnf(i_0_6, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))). % 0.11/0.41 cnf(i_0_270, negated_conjecture, (esk50_0!=empty_set)). % 0.11/0.41 cnf(i_0_180, plain, (~empty(esk41_0))). % 0.11/0.41 cnf(i_0_183, plain, (~empty(esk43_0))). % 0.11/0.41 cnf(i_0_132, plain, (~empty(powerset(X1)))). % 0.11/0.41 cnf(i_0_154, plain, (~proper_subset(X1,X1))). % 0.11/0.41 cnf(i_0_155, lemma, (unordered_pair(X1,X1)!=empty_set)). % 0.11/0.41 cnf(i_0_138, plain, (~empty(unordered_pair(X1,X2)))). % 0.11/0.41 cnf(i_0_26, plain, (~in(X1,empty_set))). % 0.11/0.41 cnf(i_0_271, negated_conjecture, (relation_rng(esk50_0)=empty_set|relation_dom(esk50_0)=empty_set)). % 0.11/0.41 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.11/0.41 cnf(i_0_276, plain, (X1=empty_set|~empty(X1))). % 0.11/0.41 cnf(i_0_244, lemma, (X1=empty_set|~subset(X1,empty_set))). % 0.11/0.41 cnf(i_0_145, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.11/0.41 cnf(i_0_278, plain, (~empty(X1)|~in(X2,X1))). % 0.11/0.41 cnf(i_0_268, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))). % 0.11/0.41 cnf(i_0_176, plain, (empty(X1)|~empty(esk39_1(X1)))). % 0.11/0.41 cnf(i_0_147, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.11/0.41 cnf(i_0_122, plain, (relation(relation_inverse(X1))|~relation(X1))). % 0.11/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.11/0.41 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))). % 0.11/0.41 cnf(i_0_139, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.11/0.41 cnf(i_0_137, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.11/0.41 cnf(i_0_146, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.11/0.41 cnf(i_0_148, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.11/0.41 cnf(i_0_143, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.11/0.41 cnf(i_0_282, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.11/0.41 cnf(i_0_144, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.11/0.41 cnf(i_0_107, plain, (subset(X1,X2)|~proper_subset(X1,X2))). % 0.11/0.41 cnf(i_0_157, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))). % 0.11/0.41 cnf(i_0_225, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))). % 0.11/0.41 cnf(i_0_226, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))). % 0.11/0.41 cnf(i_0_152, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))). % 0.11/0.41 cnf(i_0_162, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)). % 0.11/0.41 cnf(i_0_204, plain, (element(X1,X2)|~in(X1,X2))). % 0.11/0.41 cnf(i_0_240, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.11/0.41 cnf(i_0_25, plain, (X1=empty_set|in(esk8_1(X1),X1))). % 0.11/0.41 cnf(i_0_135, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_125, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_161, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_11, plain, (relation(X1)|in(esk3_1(X1),X1))). % 0.11/0.41 cnf(i_0_274, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))). % 0.11/0.41 cnf(i_0_281, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))). % 0.11/0.41 cnf(i_0_265, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.11/0.41 cnf(i_0_280, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)). % 0.11/0.41 cnf(i_0_196, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_252, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))). % 0.11/0.41 cnf(i_0_87, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). % 0.11/0.41 cnf(i_0_32, plain, (empty(X1)|~element(X1,X2)|~empty(X2))). % 0.11/0.41 cnf(i_0_188, plain, (disjoint(X1,X2)|~disjoint(X2,X1))). % 0.11/0.41 cnf(i_0_241, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))). % 0.11/0.41 cnf(i_0_232, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))). % 0.11/0.41 cnf(i_0_292, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))). % 0.11/0.41 cnf(i_0_284, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))). % 0.11/0.41 cnf(i_0_7, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_92, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)). % 0.11/0.41 cnf(i_0_233, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))). % 0.11/0.41 cnf(i_0_55, plain, (subset(X1,X2)|~in(esk17_2(X1,X2),X2))). % 0.11/0.41 cnf(i_0_168, lemma, (subset(X1,union(X2))|~in(X1,X2))). % 0.11/0.41 cnf(i_0_239, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_142, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))). % 0.11/0.41 cnf(i_0_31, plain, (element(X1,X2)|~empty(X2)|~empty(X1))). % 0.11/0.41 cnf(i_0_177, plain, (element(esk39_1(X1),powerset(X1))|empty(X1))). % 0.11/0.41 cnf(i_0_260, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))). % 0.11/0.41 cnf(i_0_263, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))). % 0.11/0.41 cnf(i_0_172, lemma, (element(X1,powerset(X2))|~in(esk37_2(X1,X2),X2))). % 0.11/0.41 cnf(i_0_277, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))). % 0.11/0.41 cnf(i_0_105, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_211, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_210, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_209, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))). % 0.11/0.41 cnf(i_0_34, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.11/0.41 cnf(i_0_57, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))). % 0.11/0.41 cnf(i_0_205, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_248, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_249, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_251, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))). % 0.11/0.41 cnf(i_0_254, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))). % 0.11/0.41 cnf(i_0_269, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_159, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))). % 0.11/0.41 cnf(i_0_10, plain, (relation(X1)|esk3_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))). % 0.11/0.41 cnf(i_0_158, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))). % 0.11/0.41 cnf(i_0_93, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))). % 0.11/0.41 cnf(i_0_184, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_185, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_192, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))). % 0.11/0.41 cnf(i_0_56, plain, (subset(X1,X2)|in(esk17_2(X1,X2),X1))). % 0.11/0.41 cnf(i_0_198, lemma, (in(powerset(X1),esk44_1(X2))|~in(X1,esk44_1(X2)))). % 0.11/0.41 cnf(i_0_242, lemma, (disjoint(X1,X2)|in(esk46_2(X1,X2),X2))). % 0.11/0.41 cnf(i_0_167, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))). % 0.11/0.41 cnf(i_0_85, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))). % 0.11/0.41 cnf(i_0_243, lemma, (disjoint(X1,X2)|in(esk46_2(X1,X2),X1))). % 0.11/0.41 cnf(i_0_163, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.11/0.41 cnf(i_0_259, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.11/0.41 cnf(i_0_217, plain, (X1=X2|~in(esk45_2(X1,X2),X2)|~in(esk45_2(X1,X2),X1))). % 0.11/0.41 cnf(i_0_273, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))). % 0.11/0.41 cnf(i_0_213, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_156, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))). % 0.11/0.41 cnf(i_0_173, lemma, (element(X1,powerset(X2))|in(esk37_2(X1,X2),X1))). % 0.11/0.41 cnf(i_0_231, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))). % 0.11/0.41 cnf(i_0_151, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))). % 0.11/0.41 cnf(i_0_283, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_289, plain, (in(esk52_2(X1,X2),esk51_1(X1))|~in(X2,esk51_1(X1)))). % 0.11/0.41 cnf(i_0_119, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))). % 0.11/0.41 cnf(i_0_153, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_194, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_246, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))). % 0.11/0.41 cnf(i_0_288, plain, (in(X1,esk52_2(X2,X3))|~subset(X1,X3)|~in(X3,esk51_1(X2)))). % 0.11/0.41 cnf(i_0_28, plain, (X1=powerset(X2)|~subset(esk9_2(X2,X1),X2)|~in(esk9_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_199, lemma, (in(X1,esk44_1(X2))|~subset(X1,X3)|~in(X3,esk44_1(X2)))). % 0.11/0.41 cnf(i_0_193, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))). % 0.11/0.41 cnf(i_0_126, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_127, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_221, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_290, plain, (in(X1,esk51_1(X2))|~subset(X1,X3)|~in(X3,esk51_1(X2)))). % 0.11/0.41 cnf(i_0_170, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))). % 0.11/0.41 cnf(i_0_171, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))). % 0.11/0.41 cnf(i_0_197, lemma, (are_equipotent(X1,esk44_1(X2))|in(X1,esk44_1(X2))|~subset(X1,esk44_1(X2)))). % 0.11/0.41 cnf(i_0_287, plain, (are_equipotent(X1,esk51_1(X2))|in(X1,esk51_1(X2))|~subset(X1,esk51_1(X2)))). % 0.11/0.41 cnf(i_0_208, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). % 0.11/0.41 cnf(i_0_207, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). % 0.11/0.41 cnf(i_0_21, plain, (esk7_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk7_2(X1,X2),X2))). % 0.11/0.41 cnf(i_0_36, plain, (X1=unordered_pair(X2,X3)|esk10_3(X2,X3,X1)!=X3|~in(esk10_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_37, plain, (X1=unordered_pair(X2,X3)|esk10_3(X2,X3,X1)!=X2|~in(esk10_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_129, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_22, plain, (X1=unordered_pair(X2,X2)|esk7_2(X2,X1)!=X2|~in(esk7_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_219, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). % 0.11/0.41 cnf(i_0_220, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). % 0.11/0.41 cnf(i_0_261, lemma, (disjoint(X1,X2)|in(esk47_2(X1,X2),set_difference(X1,set_difference(X1,X2))))). % 0.11/0.41 cnf(i_0_71, plain, (X1=union(X2)|~in(esk23_2(X2,X1),X3)|~in(esk23_2(X2,X1),X1)|~in(X3,X2))). % 0.11/0.41 cnf(i_0_247, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))). % 0.11/0.41 cnf(i_0_186, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). % 0.11/0.41 cnf(i_0_222, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))). % 0.11/0.41 cnf(i_0_16, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk5_2(X2,X1),esk6_2(X2,X1))|~in(esk5_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_195, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_202, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_164, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_223, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))). % 0.11/0.41 cnf(i_0_42, plain, (X1=set_union2(X2,X3)|~in(esk11_3(X2,X3,X1),X1)|~in(esk11_3(X2,X3,X1),X3))). % 0.11/0.41 cnf(i_0_43, plain, (X1=set_union2(X2,X3)|~in(esk11_3(X2,X3,X1),X1)|~in(esk11_3(X2,X3,X1),X2))). % 0.11/0.41 cnf(i_0_216, plain, (X1=X2|in(esk45_2(X1,X2),X1)|in(esk45_2(X1,X2),X2))). % 0.11/0.41 cnf(i_0_128, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). % 0.11/0.41 cnf(i_0_262, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))). % 0.11/0.41 cnf(i_0_27, plain, (X1=powerset(X2)|subset(esk9_2(X2,X1),X2)|in(esk9_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_69, plain, (X1=union(X2)|in(esk24_2(X2,X1),X2)|in(esk23_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_82, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk27_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk27_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_17, plain, (X1=set_meet(X2)|X2=empty_set|in(esk6_2(X2,X1),X2)|~in(esk5_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_212, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))). % 0.11/0.41 cnf(i_0_70, plain, (X1=union(X2)|in(esk23_2(X2,X1),esk24_2(X2,X1))|in(esk23_2(X2,X1),X1))). % 0.11/0.41 cnf(i_0_256, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))). % 0.11/0.41 cnf(i_0_255, 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))))). % 0.11/0.41 cnf(i_0_75, plain, (X1=set_difference(X2,X3)|in(esk25_3(X2,X3,X1),X1)|~in(esk25_3(X2,X3,X1),X3))). % 0.11/0.41 cnf(i_0_169, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 0.11/0.41 cnf(i_0_15, plain, (X1=set_meet(X2)|X2=empty_set|in(esk5_2(X2,X1),X1)|in(esk5_2(X2,X1),X3)|~in(X3,X2))). % 0.11/0.41 cnf(i_0_35, plain, (esk10_3(X1,X2,X3)=X1|esk10_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk10_3(X1,X2,X3),X3))). % 0.11/0.41 cnf(i_0_65, 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))). % 0.11/0.41 cnf(i_0_49, plain, (X1=cartesian_product2(X2,X3)|in(esk15_3(X2,X3,X1),X2)|in(esk14_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_102, plain, (X1=complements_of_subsets(X2,X3)|element(esk35_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))). % 0.11/0.41 cnf(i_0_264, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk48_1(X1),esk48_1(X1)),unordered_pair(esk48_1(X1),esk49_1(X1))),X1)|~relation(X1))). % 0.11/0.41 cnf(i_0_48, plain, (X1=cartesian_product2(X2,X3)|in(esk16_3(X2,X3,X1),X3)|in(esk14_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_76, plain, (X1=set_difference(X2,X3)|in(esk25_3(X2,X3,X1),X2)|in(esk25_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_59, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk18_3(X2,X3,X1),X2)|in(esk18_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_60, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk18_3(X2,X3,X1),X1)|~in(esk18_3(X2,X3,X1),X3)|~in(esk18_3(X2,X3,X1),X2))). % 0.11/0.41 cnf(i_0_101, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk35_3(X2,X3,X1)),X3)|~in(esk35_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_50, plain, (X1=cartesian_product2(X2,X3)|esk14_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk14_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). % 0.11/0.41 cnf(i_0_58, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk18_3(X2,X3,X1),X3)|in(esk18_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_77, plain, (X1=set_difference(X2,X3)|in(esk25_3(X2,X3,X1),X3)|~in(esk25_3(X2,X3,X1),X1)|~in(esk25_3(X2,X3,X1),X2))). % 0.11/0.41 cnf(i_0_12, plain, (unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))). % 0.11/0.41 cnf(i_0_41, plain, (X1=set_union2(X2,X3)|in(esk11_3(X2,X3,X1),X2)|in(esk11_3(X2,X3,X1),X3)|in(esk11_3(X2,X3,X1),X1))). % 0.11/0.41 cnf(i_0_100, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk35_3(X2,X3,X1)),X3)|in(esk35_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))). % 0.11/0.41 cnf(i_0_89, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk29_2(X2,X1),esk29_2(X2,X1)),unordered_pair(esk29_2(X2,X1),esk30_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk29_2(X2,X1),esk30_2(X2,X1)),unordered_pair(esk30_2(X2,X1),esk30_2(X2,X1))),X2))). % 0.11/0.41 cnf(i_0_64, 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))). % 0.11/0.41 cnf(i_0_81, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk27_2(X2,X1),esk28_2(X2,X1)),unordered_pair(esk28_2(X2,X1),esk28_2(X2,X1))),X2)|in(esk27_2(X2,X1),X1)|~relation(X2))). % 0.11/0.41 cnf(i_0_47, plain, (unordered_pair(unordered_pair(esk15_3(X1,X2,X3),esk15_3(X1,X2,X3)),unordered_pair(esk15_3(X1,X2,X3),esk16_3(X1,X2,X3)))=esk14_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk14_3(X1,X2,X3),X3))). % 0.11/0.41 cnf(i_0_88, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk29_2(X2,X1),esk30_2(X2,X1)),unordered_pair(esk30_2(X2,X1),esk30_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk29_2(X2,X1),esk29_2(X2,X1)),unordered_pair(esk29_2(X2,X1),esk30_2(X2,X1))),X1)|~relation(X1)|~relation(X2))). % 0.11/0.41 cnf(i_0_95, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk32_3(X2,X3,X1),esk32_3(X2,X3,X1)),unordered_pair(esk32_3(X2,X3,X1),esk34_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk32_3(X2,X3,X1),esk32_3(X2,X3,X1)),unordered_pair(esk32_3(X2,X3,X1),esk33_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))). % 0.11/0.41 cnf(i_0_96, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk32_3(X2,X3,X1),esk32_3(X2,X3,X1)),unordered_pair(esk32_3(X2,X3,X1),esk33_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk32_3(X2,X3,X1),X4),unordered_pair(esk32_3(X2,X3,X1),esk32_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk33_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))). % 0.11/0.41 cnf(i_0_94, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk33_3(X2,X3,X1),esk34_3(X2,X3,X1)),unordered_pair(esk34_3(X2,X3,X1),esk34_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk32_3(X2,X3,X1),esk32_3(X2,X3,X1)),unordered_pair(esk32_3(X2,X3,X1),esk33_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))). % 0.11/0.41 cnf(i_0_24, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))). % 0.11/0.41 cnf(i_0_79, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))). % 0.11/0.41 cnf(i_0_30, plain, (subset(X1,X2)|~in(X1,powerset(X2)))). % 0.11/0.41 cnf(i_0_80, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))). % 0.11/0.41 cnf(i_0_29, plain, (in(X1,powerset(X2))|~subset(X1,X2))). % 0.11/0.41 cnf(i_0_62, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))). % 0.11/0.41 cnf(i_0_44, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))). % 0.11/0.41 cnf(i_0_40, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))). % 0.11/0.41 cnf(i_0_45, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))). % 0.11/0.41 cnf(i_0_46, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))). % 0.11/0.41 cnf(i_0_72, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))). % 0.11/0.41 cnf(i_0_78, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))). % 0.11/0.41 cnf(i_0_18, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk4_3(X1,set_meet(X1),X2)))). % 0.11/0.41 cnf(i_0_20, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))). % 0.11/0.41 cnf(i_0_74, plain, (in(X1,esk22_3(X2,union(X2),X1))|~in(X1,union(X2)))). % 0.11/0.41 cnf(i_0_73, plain, (in(esk22_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))). % 0.11/0.41 cnf(i_0_61, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))). % 0.11/0.41 cnf(i_0_19, plain, (X1=empty_set|in(esk4_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))). % 0.11/0.41 cnf(i_0_54, plain, (in(esk12_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). % 0.11/0.41 cnf(i_0_53, plain, (in(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). % 0.11/0.41 cnf(i_0_103, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))). % 0.11/0.41 cnf(i_0_91, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),relation_inverse(X3)))). % 0.11/0.41 cnf(i_0_90, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_inverse(X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3))). % 0.11/0.41 cnf(i_0_97, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(X3,X4))|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X4)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3))). % 0.11/0.41 cnf(i_0_67, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk19_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))). % 0.11/0.41 cnf(i_0_104, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))). % 0.11/0.41 cnf(i_0_84, plain, (in(unordered_pair(unordered_pair(X1,esk26_3(X2,relation_rng(X2),X1)),unordered_pair(esk26_3(X2,relation_rng(X2),X1),esk26_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))). % 0.11/0.41 cnf(i_0_99, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk31_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(X2,X3)))). % 0.11/0.41 cnf(i_0_52, plain, (unordered_pair(unordered_pair(esk12_4(X1,X2,cartesian_product2(X1,X2),X3),esk12_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk12_4(X1,X2,cartesian_product2(X1,X2),X3),esk13_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). % 0.11/0.41 cnf(i_0_98, plain, (in(unordered_pair(unordered_pair(X1,esk31_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk31_5(X2,X3,relation_composition(X2,X3),X4,X1),esk31_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_composition(X2,X3)))). % 0.11/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.11/0.41 # Begin printing tableau % 0.11/0.41 # Found 7 steps % 0.11/0.41 cnf(i_0_270, negated_conjecture, (esk50_0!=empty_set), inference(start_rule)). % 0.11/0.41 cnf(i_0_348, plain, (esk50_0!=empty_set), inference(extension_rule, [i_0_19])). % 0.11/0.41 cnf(i_0_1973, plain, (in(esk4_3(esk50_0,set_meet(esk50_0),esk44_1(set_meet(esk50_0))),esk50_0)), inference(extension_rule, [i_0_278])). % 0.11/0.41 cnf(i_0_2023, plain, (~empty(esk50_0)), inference(extension_rule, [i_0_176])). % 0.11/0.41 cnf(i_0_1974, plain, (in(esk44_1(set_meet(esk50_0)),set_meet(esk50_0))), inference(extension_rule, [i_0_1])). % 0.11/0.41 cnf(i_0_2052, plain, (~in(set_meet(esk50_0),esk44_1(set_meet(esk50_0)))), inference(closure_rule, [i_0_200])). % 0.11/0.41 cnf(i_0_2036, plain, (~empty(esk39_1(esk50_0))), inference(etableau_closure_rule, [i_0_2036, ...])). % 0.11/0.41 # End printing tableau % 0.11/0.41 # SZS output end % 0.11/0.41 # Branches closed with saturation will be marked with an "s" % 0.11/0.41 # Child (25835) has found a proof. % 0.11/0.41 % 0.11/0.41 # Proof search is over... % 0.11/0.41 # Freeing feature tree %------------------------------------------------------------------------------