%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU198+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 : n029.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 09:24:41 EDT 2022 % Result : Theorem 1.33s 0.58s % Output : CNFRefutation 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SEU198+2 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % 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 : n029.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 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sun Jun 19 02:04:59 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.41 # No SInE strategy applied % 0.19/0.41 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S % 0.19/0.41 # and selection function SelectNewComplexAHP. % 0.19/0.41 # % 0.19/0.41 # Presaturation interreduction done % 0.19/0.41 # Number of axioms: 322 Number of unprocessed: 289 % 0.19/0.41 # Tableaux proof search. % 0.19/0.41 # APR header successfully linked. % 0.19/0.41 # Hello from C++ % 0.19/0.42 # The folding up rule is enabled... % 0.19/0.42 # Local unification is enabled... % 0.19/0.42 # Any saturation attempts will use folding labels... % 0.19/0.42 # 289 beginning clauses after preprocessing and clausification % 0.19/0.42 # Creating start rules for all 2 conjectures. % 0.19/0.42 # There are 2 start rule candidates: % 0.19/0.42 # Found 45 unit axioms. % 0.19/0.42 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.19/0.42 # 2 start rule tableaux created. % 0.19/0.42 # 244 extension rule candidate clauses % 0.19/0.42 # 45 unit axiom clauses % 0.19/0.42 % 0.19/0.42 # Requested 8, 32 cores available to the main process. % 0.19/0.42 # There are not enough tableaux to fork, creating more from the initial 2 % 0.19/0.42 # Returning from population with 10 new_tableaux and 0 remaining starting tableaux. % 0.19/0.42 # We now have 10 tableaux to operate on % 1.33/0.58 # There were 1 total branch saturation attempts. % 1.33/0.58 # There were 0 of these attempts blocked. % 1.33/0.58 # There were 0 deferred branch saturation attempts. % 1.33/0.58 # There were 0 free duplicated saturations. % 1.33/0.58 # There were 1 total successful branch saturations. % 1.33/0.58 # There were 0 successful branch saturations in interreduction. % 1.33/0.58 # There were 0 successful branch saturations on the branch. % 1.33/0.58 # There were 1 successful branch saturations after the branch. % 1.33/0.58 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 1.33/0.58 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 1.33/0.58 # Begin clausification derivation % 1.33/0.58 % 1.33/0.58 # End clausification derivation % 1.33/0.58 # Begin listing active clauses obtained from FOF to CNF conversion % 1.33/0.58 cnf(i_0_230, negated_conjecture, (relation(esk55_0))). % 1.33/0.58 cnf(i_0_171, plain, (relation(empty_set))). % 1.33/0.58 cnf(i_0_207, plain, (relation(esk48_0))). % 1.33/0.58 cnf(i_0_212, plain, (relation(esk51_0))). % 1.33/0.58 cnf(i_0_305, lemma, (relation_dom(empty_set)=empty_set)). % 1.33/0.58 cnf(i_0_304, lemma, (relation_rng(empty_set)=empty_set)). % 1.33/0.58 cnf(i_0_164, plain, (empty(empty_set))). % 1.33/0.58 cnf(i_0_208, plain, (empty(esk48_0))). % 1.33/0.58 cnf(i_0_211, plain, (empty(esk50_0))). % 1.33/0.58 cnf(i_0_152, plain, (relation(identity_relation(X1)))). % 1.33/0.58 cnf(i_0_256, lemma, (subset(empty_set,X1))). % 1.33/0.58 cnf(i_0_220, plain, (subset(X1,X1))). % 1.33/0.58 cnf(i_0_317, lemma, (relation_rng(identity_relation(X1))=X1)). % 1.33/0.58 cnf(i_0_214, plain, (empty(esk52_1(X1)))). % 1.33/0.58 cnf(i_0_318, lemma, (relation_dom(identity_relation(X1))=X1)). % 1.33/0.58 cnf(i_0_337, lemma, (union(powerset(X1))=X1)). % 1.33/0.58 cnf(i_0_296, plain, (set_difference(empty_set,X1)=empty_set)). % 1.33/0.58 cnf(i_0_241, plain, (set_union2(X1,empty_set)=X1)). % 1.33/0.58 cnf(i_0_276, plain, (set_difference(X1,empty_set)=X1)). % 1.33/0.58 cnf(i_0_182, plain, (set_union2(X1,X1)=X1)). % 1.33/0.58 cnf(i_0_244, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))). % 1.33/0.58 cnf(i_0_238, lemma, (in(X1,esk56_1(X1)))). % 1.33/0.58 cnf(i_0_342, plain, (in(X1,esk62_1(X1)))). % 1.33/0.58 cnf(i_0_139, plain, (element(X1,powerset(X1)))). % 1.33/0.58 cnf(i_0_159, plain, (element(esk46_1(X1),X1))). % 1.33/0.58 cnf(i_0_323, lemma, (subset(X1,set_union2(X1,X2)))). % 1.33/0.58 cnf(i_0_262, lemma, (subset(set_difference(X1,X2),X1))). % 1.33/0.58 cnf(i_0_215, plain, (element(esk52_1(X1),powerset(X1)))). % 1.33/0.58 cnf(i_0_252, plain, (set_difference(X1,X1)=empty_set)). % 1.33/0.58 cnf(i_0_272, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))). % 1.33/0.58 cnf(i_0_283, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))). % 1.33/0.58 cnf(i_0_31, plain, (set_meet(empty_set)=empty_set)). % 1.33/0.58 cnf(i_0_60, plain, (in(X1,unordered_pair(X2,X1)))). % 1.33/0.58 cnf(i_0_61, plain, (in(X1,unordered_pair(X1,X2)))). % 1.33/0.58 cnf(i_0_4, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 1.33/0.58 cnf(i_0_5, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 1.33/0.58 cnf(i_0_6, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))). % 1.33/0.58 cnf(i_0_229, negated_conjecture, (~subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0))). % 1.33/0.58 cnf(i_0_213, plain, (~empty(esk51_0))). % 1.33/0.58 cnf(i_0_216, plain, (~empty(esk53_0))). % 1.33/0.58 cnf(i_0_163, plain, (~empty(powerset(X1)))). % 1.33/0.58 cnf(i_0_187, plain, (~proper_subset(X1,X1))). % 1.33/0.58 cnf(i_0_188, lemma, (unordered_pair(X1,X1)!=empty_set)). % 1.33/0.58 cnf(i_0_169, plain, (~empty(unordered_pair(X1,X2)))). % 1.33/0.58 cnf(i_0_44, plain, (~in(X1,empty_set))). % 1.33/0.58 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 1.33/0.58 cnf(i_0_315, plain, (X1=empty_set|~empty(X1))). % 1.33/0.58 cnf(i_0_178, plain, (relation(relation_rng(X1))|~empty(X1))). % 1.33/0.58 cnf(i_0_147, plain, (relation(relation_inverse(X1))|~relation(X1))). % 1.33/0.58 cnf(i_0_322, plain, (~empty(X1)|~in(X2,X1))). % 1.33/0.58 cnf(i_0_306, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))). % 1.33/0.58 cnf(i_0_209, plain, (empty(X1)|~empty(esk49_1(X1)))). % 1.33/0.58 cnf(i_0_282, lemma, (X1=empty_set|~subset(X1,empty_set))). % 1.33/0.58 cnf(i_0_157, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))). % 1.33/0.58 cnf(i_0_308, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))). % 1.33/0.58 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 1.33/0.58 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))). % 1.33/0.58 cnf(i_0_170, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 1.33/0.58 cnf(i_0_168, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 1.33/0.58 cnf(i_0_179, plain, (empty(relation_rng(X1))|~empty(X1))). % 1.33/0.58 cnf(i_0_176, plain, (relation(relation_dom(X1))|~empty(X1))). % 1.33/0.58 cnf(i_0_175, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 1.33/0.58 cnf(i_0_174, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 1.33/0.58 cnf(i_0_132, plain, (subset(X1,X2)|~proper_subset(X1,X2))). % 1.33/0.58 cnf(i_0_190, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))). % 1.33/0.58 cnf(i_0_177, plain, (empty(relation_dom(X1))|~empty(X1))). % 1.33/0.58 cnf(i_0_311, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))). % 1.33/0.58 cnf(i_0_309, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))). % 1.33/0.58 cnf(i_0_155, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))). % 1.33/0.58 cnf(i_0_195, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)). % 1.33/0.58 cnf(i_0_263, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))). % 1.33/0.58 cnf(i_0_310, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))). % 1.33/0.58 cnf(i_0_278, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 1.33/0.58 cnf(i_0_330, plain, (X1=X2|~empty(X2)|~empty(X1))). % 1.33/0.58 cnf(i_0_185, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))). % 1.33/0.58 cnf(i_0_242, plain, (element(X1,X2)|~in(X1,X2))). % 1.33/0.58 cnf(i_0_313, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))). % 1.33/0.58 cnf(i_0_325, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))). % 1.33/0.58 cnf(i_0_264, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))). % 1.33/0.58 cnf(i_0_166, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_150, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_13, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_248, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_43, plain, (X1=empty_set|in(esk14_1(X1),X1))). % 1.33/0.58 cnf(i_0_303, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 1.33/0.58 cnf(i_0_324, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)). % 1.33/0.58 cnf(i_0_54, plain, (empty(X1)|~element(X1,X2)|~empty(X2))). % 1.33/0.58 cnf(i_0_221, plain, (disjoint(X1,X2)|~disjoint(X2,X1))). % 1.33/0.58 cnf(i_0_29, plain, (relation(X1)|in(esk9_1(X1),X1))). % 1.33/0.58 cnf(i_0_201, lemma, (subset(X1,union(X2))|~in(X1,X2))). % 1.33/0.58 cnf(i_0_160, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 1.33/0.58 cnf(i_0_180, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 1.33/0.58 cnf(i_0_194, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_279, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))). % 1.33/0.58 cnf(i_0_270, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))). % 1.33/0.58 cnf(i_0_271, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))). % 1.33/0.58 cnf(i_0_234, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_329, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))). % 1.33/0.58 cnf(i_0_80, plain, (subset(X1,X2)|~in(esk27_2(X1,X2),X2))). % 1.33/0.58 cnf(i_0_298, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))). % 1.33/0.58 cnf(i_0_173, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))). % 1.33/0.58 cnf(i_0_301, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))). % 1.33/0.58 cnf(i_0_343, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))). % 1.33/0.58 cnf(i_0_336, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))). % 1.33/0.58 cnf(i_0_277, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_53, plain, (element(X1,X2)|~empty(X2)|~empty(X1))). % 1.33/0.58 cnf(i_0_130, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_332, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))). % 1.33/0.58 cnf(i_0_117, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)). % 1.33/0.58 cnf(i_0_205, lemma, (element(X1,powerset(X2))|~in(esk47_2(X1,X2),X2))). % 1.33/0.58 cnf(i_0_316, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))). % 1.33/0.58 cnf(i_0_243, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_287, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_228, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))). % 1.33/0.58 cnf(i_0_227, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))). % 1.33/0.58 cnf(i_0_210, plain, (element(esk49_1(X1),powerset(X1))|empty(X1))). % 1.33/0.58 cnf(i_0_161, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 1.33/0.58 cnf(i_0_181, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 1.33/0.58 cnf(i_0_290, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))). % 1.33/0.58 cnf(i_0_192, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))). % 1.33/0.58 cnf(i_0_247, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))). % 1.33/0.58 cnf(i_0_112, plain, (set_union2(relation_rng(X1),relation_dom(X1))=relation_field(X1)|~relation(X1))). % 1.33/0.58 cnf(i_0_335, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_56, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 1.33/0.58 cnf(i_0_328, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))). % 1.33/0.58 cnf(i_0_81, plain, (subset(X1,X2)|in(esk27_2(X1,X2),X1))). % 1.33/0.58 cnf(i_0_331, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_249, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_162, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_191, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))). % 1.33/0.58 cnf(i_0_82, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))). % 1.33/0.58 cnf(i_0_307, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_28, plain, (relation(X1)|esk9_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))). % 1.33/0.58 cnf(i_0_217, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))). % 1.33/0.58 cnf(i_0_280, lemma, (disjoint(X1,X2)|in(esk58_2(X1,X2),X2))). % 1.33/0.58 cnf(i_0_292, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_218, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))). % 1.33/0.58 cnf(i_0_281, lemma, (disjoint(X1,X2)|in(esk58_2(X1,X2),X1))). % 1.33/0.58 cnf(i_0_236, lemma, (in(powerset(X1),esk56_1(X2))|~in(X1,esk56_1(X2)))). % 1.33/0.58 cnf(i_0_110, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))). % 1.33/0.58 cnf(i_0_327, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))). % 1.33/0.58 cnf(i_0_251, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_225, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))). % 1.33/0.58 cnf(i_0_200, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))). % 1.33/0.58 cnf(i_0_312, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))). % 1.33/0.58 cnf(i_0_196, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 1.33/0.58 cnf(i_0_297, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 1.33/0.58 cnf(i_0_255, plain, (X1=X2|~in(esk57_2(X1,X2),X2)|~in(esk57_2(X1,X2),X1))). % 1.33/0.58 cnf(i_0_118, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))). % 1.33/0.58 cnf(i_0_269, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))). % 1.33/0.58 cnf(i_0_189, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))). % 1.33/0.58 cnf(i_0_232, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_206, lemma, (element(X1,powerset(X2))|in(esk47_2(X1,X2),X1))). % 1.33/0.58 cnf(i_0_284, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))). % 1.33/0.58 cnf(i_0_184, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))). % 1.33/0.58 cnf(i_0_231, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))). % 1.33/0.58 cnf(i_0_259, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_286, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_226, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))). % 1.33/0.58 cnf(i_0_289, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_340, plain, (in(esk63_2(X1,X2),esk62_1(X1))|~in(X2,esk62_1(X1)))). % 1.33/0.58 cnf(i_0_144, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))). % 1.33/0.58 cnf(i_0_339, plain, (in(X1,esk63_2(X2,X3))|~subset(X1,X3)|~in(X3,esk62_1(X2)))). % 1.33/0.58 cnf(i_0_46, plain, (X1=powerset(X2)|~subset(esk15_2(X2,X1),X2)|~in(esk15_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_237, lemma, (in(X1,esk56_1(X2))|~subset(X1,X3)|~in(X3,esk56_1(X2)))). % 1.33/0.58 cnf(i_0_186, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))). % 1.33/0.58 cnf(i_0_233, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_240, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_235, lemma, (are_equipotent(X1,esk56_1(X2))|in(X1,esk56_1(X2))|~subset(X1,esk56_1(X2)))). % 1.33/0.58 cnf(i_0_338, plain, (are_equipotent(X1,esk62_1(X2))|in(X1,esk62_1(X2))|~subset(X1,esk62_1(X2)))). % 1.33/0.58 cnf(i_0_151, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). % 1.33/0.58 cnf(i_0_341, plain, (in(X1,esk62_1(X2))|~subset(X1,X3)|~in(X3,esk62_1(X2)))). % 1.33/0.58 cnf(i_0_203, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))). % 1.33/0.58 cnf(i_0_204, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))). % 1.33/0.58 cnf(i_0_153, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). % 1.33/0.58 cnf(i_0_245, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). % 1.33/0.58 cnf(i_0_39, plain, (esk13_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk13_2(X1,X2),X2))). % 1.33/0.58 cnf(i_0_58, plain, (X1=unordered_pair(X2,X3)|esk18_3(X2,X3,X1)!=X3|~in(esk18_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_59, plain, (X1=unordered_pair(X2,X3)|esk18_3(X2,X3,X1)!=X2|~in(esk18_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_333, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))). % 1.33/0.58 cnf(i_0_40, plain, (X1=unordered_pair(X2,X2)|esk13_2(X2,X1)!=X2|~in(esk13_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_285, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))). % 1.33/0.58 cnf(i_0_197, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_156, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). % 1.33/0.58 cnf(i_0_246, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). % 1.33/0.58 cnf(i_0_257, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). % 1.33/0.58 cnf(i_0_258, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). % 1.33/0.58 cnf(i_0_96, plain, (X1=union(X2)|~in(esk33_2(X2,X1),X3)|~in(esk33_2(X2,X1),X1)|~in(X3,X2))). % 1.33/0.58 cnf(i_0_299, lemma, (disjoint(X1,X2)|in(esk59_2(X1,X2),set_difference(X1,set_difference(X1,X2))))). % 1.33/0.58 cnf(i_0_219, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). % 1.33/0.58 cnf(i_0_326, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))). % 1.33/0.58 cnf(i_0_321, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))). % 1.33/0.58 cnf(i_0_260, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))). % 1.33/0.58 cnf(i_0_261, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))). % 1.33/0.58 cnf(i_0_64, plain, (X1=set_union2(X2,X3)|~in(esk19_3(X2,X3,X1),X1)|~in(esk19_3(X2,X3,X1),X3))). % 1.33/0.58 cnf(i_0_254, plain, (X1=X2|in(esk57_2(X1,X2),X1)|in(esk57_2(X1,X2),X2))). % 1.33/0.58 cnf(i_0_34, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk11_2(X2,X1),esk12_2(X2,X1))|~in(esk11_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_154, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). % 1.33/0.58 cnf(i_0_65, plain, (X1=set_union2(X2,X3)|~in(esk19_3(X2,X3,X1),X1)|~in(esk19_3(X2,X3,X1),X2))). % 1.33/0.58 cnf(i_0_45, plain, (X1=powerset(X2)|subset(esk15_2(X2,X1),X2)|in(esk15_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_94, plain, (X1=union(X2)|in(esk34_2(X2,X1),X2)|in(esk33_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_250, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))). % 1.33/0.58 cnf(i_0_300, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))). % 1.33/0.58 cnf(i_0_35, plain, (X1=set_meet(X2)|X2=empty_set|in(esk12_2(X2,X1),X2)|~in(esk11_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_95, plain, (X1=union(X2)|in(esk33_2(X2,X1),esk34_2(X2,X1))|in(esk33_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_33, plain, (X1=set_meet(X2)|X2=empty_set|in(esk11_2(X2,X1),X1)|in(esk11_2(X2,X1),X3)|~in(X3,X2))). % 1.33/0.58 cnf(i_0_294, 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))))). % 1.33/0.58 cnf(i_0_107, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk37_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk37_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_77, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk25_2(X1,X2),esk25_2(X1,X2)),unordered_pair(esk25_2(X1,X2),esk26_2(X1,X2))),X2))). % 1.33/0.58 cnf(i_0_100, plain, (X1=set_difference(X2,X3)|in(esk35_3(X2,X3,X1),X1)|~in(esk35_3(X2,X3,X1),X3))). % 1.33/0.58 cnf(i_0_293, 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))))). % 1.33/0.58 cnf(i_0_202, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 1.33/0.58 cnf(i_0_127, plain, (X1=complements_of_subsets(X2,X3)|element(esk45_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))). % 1.33/0.58 cnf(i_0_57, plain, (esk18_3(X1,X2,X3)=X1|esk18_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk18_3(X1,X2,X3),X3))). % 1.33/0.58 cnf(i_0_90, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk30_2(X2,X1),X3),unordered_pair(esk30_2(X2,X1),esk30_2(X2,X1))),X2)|~in(esk30_2(X2,X1),X1))). % 1.33/0.58 cnf(i_0_320, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(identity_relation(X4),X3)))). % 1.33/0.58 cnf(i_0_85, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk28_3(X2,X3,X1),X1)|~in(esk28_3(X2,X3,X1),X3)|~in(esk28_3(X2,X3,X1),X2))). % 1.33/0.58 cnf(i_0_71, plain, (X1=cartesian_product2(X2,X3)|in(esk23_3(X2,X3,X1),X2)|in(esk22_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_70, plain, (X1=cartesian_product2(X2,X3)|in(esk24_3(X2,X3,X1),X3)|in(esk22_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_101, plain, (X1=set_difference(X2,X3)|in(esk35_3(X2,X3,X1),X2)|in(esk35_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_302, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk60_1(X1),esk60_1(X1)),unordered_pair(esk60_1(X1),esk61_1(X1))),X1)|~relation(X1))). % 1.33/0.58 cnf(i_0_84, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk28_3(X2,X3,X1),X2)|in(esk28_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_126, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk45_3(X2,X3,X1)),X3)|~in(esk45_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_72, plain, (X1=cartesian_product2(X2,X3)|esk22_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk22_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). % 1.33/0.58 cnf(i_0_9, plain, (X1=identity_relation(X2)|esk2_2(X2,X1)!=esk1_2(X2,X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|~in(esk1_2(X2,X1),X2))). % 1.33/0.58 cnf(i_0_102, plain, (X1=set_difference(X2,X3)|in(esk35_3(X2,X3,X1),X3)|~in(esk35_3(X2,X3,X1),X1)|~in(esk35_3(X2,X3,X1),X2))). % 1.33/0.58 cnf(i_0_83, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk28_3(X2,X3,X1),X3)|in(esk28_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_30, plain, (unordered_pair(unordered_pair(esk7_2(X1,X2),esk7_2(X1,X2)),unordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))). % 1.33/0.58 cnf(i_0_319, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(identity_relation(X3),X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)|~in(X1,X3))). % 1.33/0.58 cnf(i_0_63, plain, (X1=set_union2(X2,X3)|in(esk19_3(X2,X3,X1),X2)|in(esk19_3(X2,X3,X1),X3)|in(esk19_3(X2,X3,X1),X1))). % 1.33/0.58 cnf(i_0_78, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk25_2(X1,X2),esk25_2(X1,X2)),unordered_pair(esk25_2(X1,X2),esk26_2(X1,X2))),X1)|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_125, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk45_3(X2,X3,X1)),X3)|in(esk45_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))). % 1.33/0.58 cnf(i_0_106, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk37_2(X2,X1),esk38_2(X2,X1)),unordered_pair(esk38_2(X2,X1),esk38_2(X2,X1))),X2)|in(esk37_2(X2,X1),X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_7, plain, (esk2_2(X1,X2)=esk1_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)|~relation(X2))). % 1.33/0.58 cnf(i_0_8, plain, (X1=identity_relation(X2)|in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|in(esk1_2(X2,X1),X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_50, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk16_2(X1,X2),esk16_2(X1,X2)),unordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk16_2(X1,X2),esk16_2(X1,X2)),unordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))),X1))). % 1.33/0.58 cnf(i_0_114, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk39_2(X2,X1),esk39_2(X2,X1)),unordered_pair(esk39_2(X2,X1),esk40_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk39_2(X2,X1),esk40_2(X2,X1)),unordered_pair(esk40_2(X2,X1),esk40_2(X2,X1))),X2))). % 1.33/0.58 cnf(i_0_89, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk30_2(X2,X1),esk30_2(X2,X1)),unordered_pair(esk30_2(X2,X1),esk31_2(X2,X1))),X2)|in(esk30_2(X2,X1),X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_69, plain, (unordered_pair(unordered_pair(esk23_3(X1,X2,X3),esk23_3(X1,X2,X3)),unordered_pair(esk23_3(X1,X2,X3),esk24_3(X1,X2,X3)))=esk22_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk22_3(X1,X2,X3),X3))). % 1.33/0.58 cnf(i_0_23, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk6_3(X2,X3,X1),esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|in(esk6_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))). % 1.33/0.58 cnf(i_0_17, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|in(esk3_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_49, plain, (X1=X2|in(unordered_pair(unordered_pair(esk16_2(X1,X2),esk16_2(X1,X2)),unordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk16_2(X1,X2),esk16_2(X1,X2)),unordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))),X2)|~relation(X2)|~relation(X1))). % 1.33/0.58 cnf(i_0_113, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk39_2(X2,X1),esk40_2(X2,X1)),unordered_pair(esk40_2(X2,X1),esk40_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk39_2(X2,X1),esk39_2(X2,X1)),unordered_pair(esk39_2(X2,X1),esk40_2(X2,X1))),X1)|~relation(X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_18, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|~in(esk3_3(X2,X3,X1),X3))). % 1.33/0.58 cnf(i_0_24, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk6_3(X2,X3,X1),esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk6_3(X2,X3,X1),esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk5_3(X2,X3,X1))),X3)|~in(esk6_3(X2,X3,X1),X2))). % 1.33/0.58 cnf(i_0_121, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk42_3(X2,X3,X1),esk42_3(X2,X3,X1)),unordered_pair(esk42_3(X2,X3,X1),esk43_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk42_3(X2,X3,X1),X4),unordered_pair(esk42_3(X2,X3,X1),esk42_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk43_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))). % 1.33/0.58 cnf(i_0_16, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))). % 1.33/0.58 cnf(i_0_22, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk6_3(X2,X3,X1),esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk5_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk6_3(X2,X3,X1),esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))). % 1.33/0.58 cnf(i_0_120, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk42_3(X2,X3,X1),esk42_3(X2,X3,X1)),unordered_pair(esk42_3(X2,X3,X1),esk44_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk42_3(X2,X3,X1),esk42_3(X2,X3,X1)),unordered_pair(esk42_3(X2,X3,X1),esk43_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))). % 1.33/0.58 cnf(i_0_119, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk43_3(X2,X3,X1),esk44_3(X2,X3,X1)),unordered_pair(esk44_3(X2,X3,X1),esk44_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk42_3(X2,X3,X1),esk42_3(X2,X3,X1)),unordered_pair(esk42_3(X2,X3,X1),esk43_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))). % 1.33/0.58 cnf(i_0_104, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))). % 1.33/0.58 cnf(i_0_48, plain, (subset(X1,X2)|~in(X1,powerset(X2)))). % 1.33/0.58 cnf(i_0_42, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))). % 1.33/0.58 cnf(i_0_105, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))). % 1.33/0.58 cnf(i_0_47, plain, (in(X1,powerset(X2))|~subset(X1,X2))). % 1.33/0.58 cnf(i_0_62, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))). % 1.33/0.58 cnf(i_0_66, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))). % 1.33/0.58 cnf(i_0_67, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))). % 1.33/0.58 cnf(i_0_87, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))). % 1.33/0.58 cnf(i_0_68, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))). % 1.33/0.58 cnf(i_0_97, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))). % 1.33/0.58 cnf(i_0_103, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))). % 1.33/0.58 cnf(i_0_11, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))). % 1.33/0.58 cnf(i_0_36, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk10_3(X1,set_meet(X1),X2)))). % 1.33/0.58 cnf(i_0_12, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))). % 1.33/0.58 cnf(i_0_38, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))). % 1.33/0.58 cnf(i_0_99, plain, (in(X1,esk32_3(X2,union(X2),X1))|~in(X1,union(X2)))). % 1.33/0.58 cnf(i_0_98, plain, (in(esk32_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))). % 1.33/0.58 cnf(i_0_86, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))). % 1.33/0.58 cnf(i_0_27, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))). % 1.33/0.58 cnf(i_0_37, plain, (X1=empty_set|in(esk10_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))). % 1.33/0.58 cnf(i_0_76, plain, (in(esk20_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). % 1.33/0.58 cnf(i_0_75, plain, (in(esk21_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). % 1.33/0.58 cnf(i_0_21, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))). % 1.33/0.58 cnf(i_0_10, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))). % 1.33/0.58 cnf(i_0_92, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk29_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))). % 1.33/0.58 cnf(i_0_128, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))). % 1.33/0.58 cnf(i_0_20, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_dom_restriction(X3,X4)))). % 1.33/0.58 cnf(i_0_26, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_rng_restriction(X4,X3)))). % 1.33/0.58 cnf(i_0_116, 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)))). % 1.33/0.58 cnf(i_0_25, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_rng_restriction(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)|~in(X2,X3))). % 1.33/0.58 cnf(i_0_129, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))). % 1.33/0.58 cnf(i_0_115, 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))). % 1.33/0.58 cnf(i_0_19, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~in(X1,X4))). % 1.33/0.58 cnf(i_0_109, plain, (in(unordered_pair(unordered_pair(X1,esk36_3(X2,relation_rng(X2),X1)),unordered_pair(esk36_3(X2,relation_rng(X2),X1),esk36_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))). % 1.33/0.58 cnf(i_0_124, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk41_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)))). % 1.33/0.58 cnf(i_0_122, 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))). % 1.33/0.58 cnf(i_0_74, plain, (unordered_pair(unordered_pair(esk20_4(X1,X2,cartesian_product2(X1,X2),X3),esk20_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk20_4(X1,X2,cartesian_product2(X1,X2),X3),esk21_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). % 1.33/0.58 cnf(i_0_123, plain, (in(unordered_pair(unordered_pair(X1,esk41_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk41_5(X2,X3,relation_composition(X2,X3),X4,X1),esk41_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)))). % 1.33/0.58 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 1.33/0.58 # Begin printing tableau % 1.33/0.58 # Found 4 steps % 1.33/0.58 cnf(i_0_229, negated_conjecture, (~subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0)), inference(start_rule)). % 1.33/0.58 cnf(i_0_407, plain, (~subset(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0)), inference(extension_rule, [i_0_81])). % 1.33/0.58 cnf(i_0_600, plain, (in(esk27_2(relation_rng(relation_rng_restriction(esk54_0,esk55_0)),esk54_0),relation_rng(relation_rng_restriction(esk54_0,esk55_0)))), inference(extension_rule, [i_0_322])). % 1.33/0.58 cnf(i_0_1128, plain, (~empty(relation_rng(relation_rng_restriction(esk54_0,esk55_0)))), inference(etableau_closure_rule, [i_0_1128, ...])). % 1.33/0.58 # End printing tableau % 1.33/0.58 # SZS output end % 1.33/0.58 # Branches closed with saturation will be marked with an "s" % 1.33/0.58 # Child (20398) has found a proof. % 1.33/0.58 % 1.33/0.58 # Proof search is over... % 1.33/0.58 # Freeing feature tree %------------------------------------------------------------------------------