0.07/0.12	% 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
0.13/0.34	Computer   : n005.cluster.edu
0.13/0.34	Model      : x86_64 x86_64
0.13/0.34	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	RAMPerCPU  : 8042.1875MB
0.13/0.34	OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Aug  9 03:22:04 EDT 2022
0.13/0.34	% 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: 265 Number of unprocessed: 233
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	# 233 beginning clauses after preprocessing and clausification
0.19/0.42	# Creating start rules for all 1 conjectures.
0.19/0.42	# There are 1 start rule candidates:
0.19/0.42	# Found 38 unit axioms.
0.19/0.42	# 1 start rule tableaux created.
0.19/0.42	# 195 extension rule candidate clauses
0.19/0.42	# 38 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 1
0.19/0.42	# Returning from population with 32 new_tableaux and 0 remaining starting tableaux.
0.19/0.42	# We now have 32 tableaux to operate on
1.14/0.56	# There were 1 total branch saturation attempts.
1.14/0.56	# There were 0 of these attempts blocked.
1.14/0.56	# There were 0 deferred branch saturation attempts.
1.14/0.56	# There were 0 free duplicated saturations.
1.14/0.56	# There were 1 total successful branch saturations.
1.14/0.56	# There were 0 successful branch saturations in interreduction.
1.14/0.56	# There were 0 successful branch saturations on the branch.
1.14/0.56	# There were 1 successful branch saturations after the branch.
1.14/0.56	# SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
1.14/0.56	# SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
1.14/0.56	# Begin clausification derivation
1.14/0.56	
1.14/0.56	# End clausification derivation
1.14/0.56	# Begin listing active clauses obtained from FOF to CNF conversion
1.14/0.56	cnf(i_0_107, plain, (relation(empty_set))).
1.14/0.56	cnf(i_0_108, plain, (empty(empty_set))).
1.14/0.56	cnf(i_0_36, plain, (relation(esk6_0))).
1.14/0.56	cnf(i_0_162, plain, (relation(esk31_0))).
1.14/0.56	cnf(i_0_37, plain, (empty(esk6_0))).
1.14/0.56	cnf(i_0_204, plain, (empty(esk39_0))).
1.14/0.56	cnf(i_0_45, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
1.14/0.56	cnf(i_0_169, plain, (set_difference(empty_set,X1)=empty_set)).
1.14/0.56	cnf(i_0_8, lemma, (subset(empty_set,X1))).
1.14/0.56	cnf(i_0_202, plain, (set_union2(X1,empty_set)=X1)).
1.14/0.56	cnf(i_0_82, plain, (set_difference(X1,empty_set)=X1)).
1.14/0.56	cnf(i_0_247, plain, (empty(esk43_1(X1)))).
1.14/0.56	cnf(i_0_174, lemma, (union(powerset(X1))=X1)).
1.14/0.56	cnf(i_0_217, plain, (subset(X1,X1))).
1.14/0.56	cnf(i_0_147, plain, (set_union2(X1,X1)=X1)).
1.14/0.56	cnf(i_0_34, plain, (set_difference(X1,X1)=empty_set)).
1.14/0.56	cnf(i_0_256, plain, (element(X1,powerset(X1)))).
1.14/0.56	cnf(i_0_44, plain, (in(X1,esk7_1(X1)))).
1.14/0.56	cnf(i_0_226, lemma, (in(X1,esk41_1(X1)))).
1.14/0.56	cnf(i_0_167, plain, (element(esk33_1(X1),X1))).
1.14/0.56	cnf(i_0_248, plain, (element(esk43_1(X1),powerset(X1)))).
1.14/0.56	cnf(i_0_1, lemma, (subset(X1,set_union2(X1,X2)))).
1.14/0.56	cnf(i_0_155, lemma, (subset(set_difference(X1,X2),X1))).
1.14/0.56	cnf(i_0_249, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
1.14/0.56	cnf(i_0_215, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
1.14/0.56	cnf(i_0_191, plain, (set_meet(empty_set)=empty_set)).
1.14/0.56	cnf(i_0_126, plain, (in(X1,unordered_pair(X2,X1)))).
1.14/0.56	cnf(i_0_127, plain, (in(X1,unordered_pair(X1,X2)))).
1.14/0.56	cnf(i_0_242, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
1.14/0.56	cnf(i_0_221, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
1.14/0.56	cnf(i_0_50, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
1.14/0.56	cnf(i_0_163, plain, (~empty(esk31_0))).
1.14/0.56	cnf(i_0_212, plain, (~empty(esk40_0))).
1.14/0.56	cnf(i_0_214, plain, (~empty(powerset(X1)))).
1.14/0.56	cnf(i_0_211, plain, (~proper_subset(X1,X1))).
1.14/0.56	cnf(i_0_9, lemma, (unordered_pair(X1,X1)!=empty_set)).
1.14/0.56	cnf(i_0_31, plain, (~empty(unordered_pair(X1,X2)))).
1.14/0.56	cnf(i_0_240, plain, (~in(X1,empty_set))).
1.14/0.56	cnf(i_0_146, negated_conjecture, (relation_rng(empty_set)!=empty_set|relation_dom(empty_set)!=empty_set)).
1.14/0.56	cnf(i_0_78, plain, (empty_set=X1|~empty(X1))).
1.14/0.56	cnf(i_0_253, plain, (relation(X1)|~empty(X1))).
1.14/0.56	cnf(i_0_105, lemma, (empty_set=X1|~subset(X1,empty_set))).
1.14/0.56	cnf(i_0_199, plain, (~empty(X1)|~in(X2,X1))).
1.14/0.56	cnf(i_0_220, lemma, (~proper_subset(X1,X2)|~subset(X2,X1))).
1.14/0.56	cnf(i_0_65, plain, (empty(X1)|~empty(esk10_1(X1)))).
1.14/0.56	cnf(i_0_116, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
1.14/0.56	cnf(i_0_117, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
1.14/0.56	cnf(i_0_4, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
1.14/0.56	cnf(i_0_175, plain, (X1=X2|~empty(X2)|~empty(X1))).
1.14/0.56	cnf(i_0_111, plain, (~in(X1,X2)|~in(X2,X1))).
1.14/0.56	cnf(i_0_265, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
1.14/0.56	cnf(i_0_18, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
1.14/0.56	cnf(i_0_246, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
1.14/0.56	cnf(i_0_5, plain, (relation(relation_inverse(X1))|~relation(X1))).
1.14/0.56	cnf(i_0_219, plain, (empty(X1)|~empty(relation_dom(X1))|~relation(X1))).
1.14/0.56	cnf(i_0_245, plain, (empty(X1)|~empty(relation_rng(X1))|~relation(X1))).
1.14/0.56	cnf(i_0_195, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
1.14/0.56	cnf(i_0_32, lemma, (~in(X1,X2)|~disjoint(unordered_pair(X1,X1),X2))).
1.14/0.56	cnf(i_0_209, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
1.14/0.56	cnf(i_0_3, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
1.14/0.56	cnf(i_0_76, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
1.14/0.56	cnf(i_0_203, plain, (element(X1,X2)|~in(X1,X2))).
1.14/0.56	cnf(i_0_239, plain, (empty_set=X1|in(esk42_1(X1),X1))).
1.14/0.56	cnf(i_0_69, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
1.14/0.56	cnf(i_0_16, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
1.14/0.56	cnf(i_0_236, plain, (~empty(X1)|~in(X2,X3)|~element(X3,powerset(X1)))).
1.14/0.56	cnf(i_0_193, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
1.14/0.56	cnf(i_0_77, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
1.14/0.56	cnf(i_0_55, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
1.14/0.56	cnf(i_0_39, lemma, (X1=X2|unordered_pair(X1,X2)!=unordered_pair(X3,X3))).
1.14/0.56	cnf(i_0_267, plain, (in(esk49_1(X1),X1)|relation(X1))).
1.14/0.56	cnf(i_0_26, plain, (empty(X1)|~empty(X2)|~element(X1,X2))).
1.14/0.56	cnf(i_0_176, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
1.14/0.56	cnf(i_0_99, lemma, (~in(X1,X2)|~in(X1,X3)|~disjoint(X3,X2))).
1.14/0.56	cnf(i_0_283, plain, (subset(X1,X2)|~in(esk51_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_93, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
1.14/0.56	cnf(i_0_254, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
1.14/0.56	cnf(i_0_51, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
1.14/0.56	cnf(i_0_137, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
1.14/0.56	cnf(i_0_136, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
1.14/0.56	cnf(i_0_62, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
1.14/0.56	cnf(i_0_94, lemma, (subset(X1,union(X2))|~in(X1,X2))).
1.14/0.56	cnf(i_0_68, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
1.14/0.56	cnf(i_0_25, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
1.14/0.56	cnf(i_0_153, lemma, (~in(X1,set_difference(X2,set_difference(X2,X3)))|~disjoint(X2,X3))).
1.14/0.56	cnf(i_0_237, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
1.14/0.56	cnf(i_0_216, lemma, (~in(X1,subset_complement(X2,X3))|~in(X1,X3)|~element(X3,powerset(X2)))).
1.14/0.56	cnf(i_0_164, lemma, (element(X1,powerset(X2))|~in(esk32_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_132, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
1.14/0.56	cnf(i_0_194, plain, (X1=X2|proper_subset(X2,X1)|~subset(X2,X1))).
1.14/0.56	cnf(i_0_110, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
1.14/0.56	cnf(i_0_52, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
1.14/0.56	cnf(i_0_64, plain, (empty(X1)|element(esk10_1(X1),powerset(X1)))).
1.14/0.56	cnf(i_0_95, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_79, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_28, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
1.14/0.56	cnf(i_0_284, plain, (in(esk51_2(X1,X2),X1)|subset(X1,X2))).
1.14/0.56	cnf(i_0_166, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_250, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_172, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
1.14/0.56	cnf(i_0_234, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))).
1.14/0.56	cnf(i_0_101, lemma, (in(esk18_2(X1,X2),X2)|disjoint(X1,X2))).
1.14/0.56	cnf(i_0_24, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
1.14/0.56	cnf(i_0_273, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
1.14/0.56	cnf(i_0_282, plain, (in(X1,X2)|~in(X1,X3)|~subset(X3,X2))).
1.14/0.56	cnf(i_0_100, lemma, (in(esk18_2(X1,X2),X1)|disjoint(X1,X2))).
1.14/0.56	cnf(i_0_228, lemma, (unordered_pair(X1,X1)=X2|X2=empty_set|~subset(X2,unordered_pair(X1,X1)))).
1.14/0.56	cnf(i_0_133, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
1.14/0.56	cnf(i_0_124, lemma, (in(X1,X2)|disjoint(unordered_pair(X1,X1),X2))).
1.14/0.56	cnf(i_0_266, plain, (relation(X1)|esk49_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
1.14/0.56	cnf(i_0_17, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
1.14/0.56	cnf(i_0_238, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
1.14/0.56	cnf(i_0_63, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
1.14/0.56	cnf(i_0_223, lemma, (in(powerset(X1),esk41_1(X2))|~in(X1,esk41_1(X2)))).
1.14/0.56	cnf(i_0_10, plain, (element(X1,X2)|~in(X1,X3)|~element(X3,powerset(X2)))).
1.14/0.56	cnf(i_0_165, lemma, (in(esk32_2(X1,X2),X1)|element(X1,powerset(X2)))).
1.14/0.56	cnf(i_0_139, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
1.14/0.56	cnf(i_0_170, lemma, (subset(relation_dom(X1),relation_dom(X2))|~relation(X2)|~relation(X1)|~subset(X1,X2))).
1.14/0.56	cnf(i_0_171, lemma, (subset(relation_rng(X1),relation_rng(X2))|~relation(X2)|~relation(X1)|~subset(X1,X2))).
1.14/0.56	cnf(i_0_255, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~relation(X2)|~relation(X1)|~subset(relation_rng(X1),relation_dom(X2)))).
1.14/0.56	cnf(i_0_74, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_200, lemma, (in(X1,X2)|~in(X1,X3)|~element(X3,powerset(X2)))).
1.14/0.56	cnf(i_0_183, plain, (X1=X2|~in(esk35_2(X1,X2),X2)|~in(esk35_2(X1,X2),X1))).
1.14/0.56	cnf(i_0_83, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
1.14/0.56	cnf(i_0_35, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~relation(X1)|~relation(X2)|~subset(relation_dom(X2),relation_rng(X1)))).
1.14/0.56	cnf(i_0_103, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_205, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_41, plain, (in(esk8_2(X1,X2),esk7_1(X1))|~in(X2,esk7_1(X1)))).
1.14/0.56	cnf(i_0_2, lemma, (subset(set_union2(X1,X2),X3)|~subset(X1,X3)|~subset(X2,X3))).
1.14/0.56	cnf(i_0_138, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X1,X3)|~in(X2,X3))).
1.14/0.56	cnf(i_0_7, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))).
1.14/0.56	cnf(i_0_40, plain, (in(X1,esk8_2(X2,X3))|~in(X3,esk7_1(X2))|~subset(X1,X3))).
1.14/0.56	cnf(i_0_154, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
1.14/0.56	cnf(i_0_173, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_75, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_129, plain, (X1=unordered_pair(X2,X3)|esk24_3(X2,X3,X1)!=X3|~in(esk24_3(X2,X3,X1),X1))).
1.14/0.56	cnf(i_0_244, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
1.14/0.56	cnf(i_0_113, plain, (powerset(X1)=X2|~in(esk19_2(X1,X2),X2)|~subset(esk19_2(X1,X2),X1))).
1.14/0.56	cnf(i_0_43, plain, (in(X1,esk7_1(X2))|~in(X3,esk7_1(X2))|~subset(X1,X3))).
1.14/0.56	cnf(i_0_225, lemma, (in(X1,esk41_1(X2))|~in(X3,esk41_1(X2))|~subset(X1,X3))).
1.14/0.56	cnf(i_0_207, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
1.14/0.56	cnf(i_0_243, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
1.14/0.56	cnf(i_0_130, plain, (X1=unordered_pair(X2,X3)|esk24_3(X2,X3,X1)!=X2|~in(esk24_3(X2,X3,X1),X1))).
1.14/0.56	cnf(i_0_59, plain, (unordered_pair(X1,X1)=X2|esk9_2(X1,X2)!=X1|~in(esk9_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_42, plain, (are_equipotent(X1,esk7_1(X2))|in(X1,esk7_1(X2))|~subset(X1,esk7_1(X2)))).
1.14/0.56	cnf(i_0_206, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
1.14/0.56	cnf(i_0_224, lemma, (are_equipotent(X1,esk41_1(X2))|in(X1,esk41_1(X2))|~subset(X1,esk41_1(X2)))).
1.14/0.56	cnf(i_0_48, lemma, (in(X1,relation_dom(X2))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)|~relation(X2))).
1.14/0.56	cnf(i_0_49, lemma, (in(X1,relation_rng(X2))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)|~relation(X2))).
1.14/0.56	cnf(i_0_135, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X2,powerset(X1))|~element(X3,powerset(X1)))).
1.14/0.56	cnf(i_0_58, plain, (esk9_2(X1,X2)=X1|unordered_pair(X1,X1)=X2|in(esk9_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_81, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_197, lemma, (in(X1,relation_field(X2))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)|~relation(X2))).
1.14/0.56	cnf(i_0_198, lemma, (in(X1,relation_field(X2))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)|~relation(X2))).
1.14/0.56	cnf(i_0_260, plain, (X1=union(X2)|~in(esk45_2(X2,X1),X3)|~in(esk45_2(X2,X1),X1)|~in(X3,X2))).
1.14/0.56	cnf(i_0_6, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
1.14/0.56	cnf(i_0_152, lemma, (in(esk29_2(X1,X2),set_difference(X1,set_difference(X1,X2)))|disjoint(X1,X2))).
1.14/0.56	cnf(i_0_189, plain, (set_meet(X1)=X2|X1=empty_set|~in(esk36_2(X1,X2),esk37_2(X1,X2))|~in(esk36_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_97, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)))).
1.14/0.56	cnf(i_0_98, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
1.14/0.56	cnf(i_0_54, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X1,X3)|~subset(X2,X4))).
1.14/0.56	cnf(i_0_84, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X2)|~subset(X1,X3))).
1.14/0.56	cnf(i_0_279, plain, (set_union2(X1,X2)=X3|~in(esk50_3(X1,X2,X3),X3)|~in(esk50_3(X1,X2,X3),X2))).
1.14/0.56	cnf(i_0_278, plain, (set_union2(X1,X2)=X3|~in(esk50_3(X1,X2,X3),X3)|~in(esk50_3(X1,X2,X3),X1))).
1.14/0.56	cnf(i_0_272, lemma, (in(X1,X2)|subset(X2,set_difference(X3,unordered_pair(X1,X1)))|~subset(X2,X3))).
1.14/0.56	cnf(i_0_168, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
1.14/0.56	cnf(i_0_190, plain, (set_meet(X1)=X2|X1=empty_set|in(esk37_2(X1,X2),X1)|~in(esk36_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_182, plain, (X1=X2|in(esk35_2(X1,X2),X1)|in(esk35_2(X1,X2),X2))).
1.14/0.56	cnf(i_0_106, lemma, (empty_set=X1|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
1.14/0.56	cnf(i_0_149, plain, (relation_rng(X1)=X2|~in(unordered_pair(unordered_pair(X3,esk27_2(X1,X2)),unordered_pair(X3,X3)),X1)|~in(esk27_2(X1,X2),X2)|~relation(X1))).
1.14/0.56	cnf(i_0_258, plain, (X1=union(X2)|in(esk46_2(X2,X1),X2)|in(esk45_2(X2,X1),X1))).
1.14/0.56	cnf(i_0_53, 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))))).
1.14/0.56	cnf(i_0_80, 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))))).
1.14/0.56	cnf(i_0_222, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
1.14/0.56	cnf(i_0_112, plain, (powerset(X1)=X2|in(esk19_2(X1,X2),X2)|subset(esk19_2(X1,X2),X1))).
1.14/0.56	cnf(i_0_188, plain, (set_meet(X1)=X2|X1=empty_set|in(esk36_2(X1,X2),X2)|in(esk36_2(X1,X2),X3)|~in(X3,X1))).
1.14/0.56	cnf(i_0_259, plain, (X1=union(X2)|in(esk45_2(X2,X1),esk46_2(X2,X1))|in(esk45_2(X2,X1),X1))).
1.14/0.56	cnf(i_0_143, plain, (X1=set_difference(X2,X3)|in(esk25_3(X2,X3,X1),X1)|~in(esk25_3(X2,X3,X1),X3))).
1.14/0.56	cnf(i_0_13, plain, (relation_dom(X1)=X2|~in(unordered_pair(unordered_pair(esk2_2(X1,X2),X3),unordered_pair(esk2_2(X1,X2),esk2_2(X1,X2))),X1)|~in(esk2_2(X1,X2),X2)|~relation(X1))).
1.14/0.56	cnf(i_0_208, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X1,X3)|~in(X2,X4))).
1.14/0.56	cnf(i_0_128, plain, (esk24_3(X1,X2,X3)=X1|esk24_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk24_3(X1,X2,X3),X3))).
1.14/0.56	cnf(i_0_179, plain, (X1=complements_of_subsets(X2,X3)|element(esk34_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
1.14/0.56	cnf(i_0_19, lemma, (empty_set=X1|in(unordered_pair(unordered_pair(esk4_1(X1),esk4_1(X1)),unordered_pair(esk4_1(X1),esk5_1(X1))),X1)|~relation(X1))).
1.14/0.56	cnf(i_0_144, plain, (X1=set_difference(X2,X3)|in(esk25_3(X2,X3,X1),X2)|in(esk25_3(X2,X3,X1),X1))).
1.14/0.56	cnf(i_0_85, plain, (X1=cartesian_product2(X2,X3)|in(esk16_3(X2,X3,X1),X2)|in(esk15_3(X2,X3,X1),X1))).
1.14/0.56	cnf(i_0_161, plain, (set_difference(X1,set_difference(X1,X2))=X3|~in(esk30_3(X1,X2,X3),X3)|~in(esk30_3(X1,X2,X3),X2)|~in(esk30_3(X1,X2,X3),X1))).
1.14/0.56	cnf(i_0_178, plain, (X1=complements_of_subsets(X2,X3)|~in(subset_complement(X2,esk34_3(X2,X3,X1)),X3)|~in(esk34_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
1.14/0.56	cnf(i_0_88, plain, (X1=cartesian_product2(X2,X3)|unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))!=esk15_3(X2,X3,X1)|~in(esk15_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
1.14/0.56	cnf(i_0_86, plain, (X1=cartesian_product2(X2,X3)|in(esk17_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1))).
1.14/0.56	cnf(i_0_159, plain, (set_difference(X1,set_difference(X1,X2))=X3|in(esk30_3(X1,X2,X3),X1)|in(esk30_3(X1,X2,X3),X3))).
1.14/0.56	cnf(i_0_145, 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))).
1.14/0.56	cnf(i_0_268, plain, (unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2)))=X2|~in(X2,X1)|~relation(X1))).
1.14/0.56	cnf(i_0_160, plain, (set_difference(X1,set_difference(X1,X2))=X3|in(esk30_3(X1,X2,X3),X2)|in(esk30_3(X1,X2,X3),X3))).
1.14/0.56	cnf(i_0_277, plain, (set_union2(X1,X2)=X3|in(esk50_3(X1,X2,X3),X1)|in(esk50_3(X1,X2,X3),X2)|in(esk50_3(X1,X2,X3),X3))).
1.14/0.56	cnf(i_0_177, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk34_3(X2,X3,X1)),X3)|in(esk34_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
1.14/0.56	cnf(i_0_12, plain, (relation_dom(X1)=X2|in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk2_2(X1,X2)),unordered_pair(esk2_2(X1,X2),esk3_2(X1,X2))),X1)|in(esk2_2(X1,X2),X2)|~relation(X1))).
1.14/0.56	cnf(i_0_148, plain, (relation_rng(X1)=X2|in(unordered_pair(unordered_pair(esk27_2(X1,X2),esk28_2(X1,X2)),unordered_pair(esk28_2(X1,X2),esk28_2(X1,X2))),X1)|in(esk27_2(X1,X2),X2)|~relation(X1))).
1.14/0.56	cnf(i_0_73, plain, (X1=relation_inverse(X2)|~in(unordered_pair(unordered_pair(esk11_2(X2,X1),esk11_2(X2,X1)),unordered_pair(esk11_2(X2,X1),esk12_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk11_2(X2,X1),esk12_2(X2,X1)),unordered_pair(esk12_2(X2,X1),esk12_2(X2,X1))),X2)|~relation(X1)|~relation(X2))).
1.14/0.56	cnf(i_0_87, plain, (unordered_pair(unordered_pair(esk16_3(X1,X2,X3),esk16_3(X1,X2,X3)),unordered_pair(esk16_3(X1,X2,X3),esk17_3(X1,X2,X3)))=esk15_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk15_3(X1,X2,X3),X3))).
1.14/0.56	cnf(i_0_123, plain, (relation_composition(X1,X2)=X3|~in(unordered_pair(unordered_pair(esk20_3(X1,X2,X3),esk20_3(X1,X2,X3)),unordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))),X3)|~in(unordered_pair(unordered_pair(esk20_3(X1,X2,X3),X4),unordered_pair(esk20_3(X1,X2,X3),esk20_3(X1,X2,X3))),X1)|~in(unordered_pair(unordered_pair(X4,esk21_3(X1,X2,X3)),unordered_pair(X4,X4)),X2)|~relation(X3)|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_72, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk11_2(X2,X1),esk12_2(X2,X1)),unordered_pair(esk12_2(X2,X1),esk12_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk11_2(X2,X1),esk11_2(X2,X1)),unordered_pair(esk11_2(X2,X1),esk12_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
1.14/0.56	cnf(i_0_121, plain, (relation_composition(X1,X2)=X3|in(unordered_pair(unordered_pair(esk20_3(X1,X2,X3),esk20_3(X1,X2,X3)),unordered_pair(esk20_3(X1,X2,X3),esk22_3(X1,X2,X3))),X1)|in(unordered_pair(unordered_pair(esk20_3(X1,X2,X3),esk20_3(X1,X2,X3)),unordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_122, plain, (relation_composition(X1,X2)=X3|in(unordered_pair(unordered_pair(esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)),unordered_pair(esk22_3(X1,X2,X3),esk22_3(X1,X2,X3))),X2)|in(unordered_pair(unordered_pair(esk20_3(X1,X2,X3),esk20_3(X1,X2,X3)),unordered_pair(esk20_3(X1,X2,X3),esk21_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2)|~relation(X1))).
1.14/0.56	cnf(i_0_140, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
1.14/0.56	cnf(i_0_114, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
1.14/0.56	cnf(i_0_56, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
1.14/0.56	cnf(i_0_141, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
1.14/0.56	cnf(i_0_115, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
1.14/0.56	cnf(i_0_125, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
1.14/0.56	cnf(i_0_276, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
1.14/0.56	cnf(i_0_275, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
1.14/0.56	cnf(i_0_185, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk38_3(X1,set_meet(X1),X2)))).
1.14/0.56	cnf(i_0_157, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
1.14/0.56	cnf(i_0_274, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X2,X3)))).
1.14/0.56	cnf(i_0_263, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
1.14/0.56	cnf(i_0_142, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
1.14/0.56	cnf(i_0_262, plain, (in(X1,esk44_3(X2,union(X2),X1))|~in(X1,union(X2)))).
1.14/0.56	cnf(i_0_261, plain, (in(esk44_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
1.14/0.56	cnf(i_0_187, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
1.14/0.56	cnf(i_0_186, plain, (X1=empty_set|in(esk38_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
1.14/0.56	cnf(i_0_158, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X2)|~in(X1,X3))).
1.14/0.56	cnf(i_0_89, plain, (in(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
1.14/0.56	cnf(i_0_90, plain, (in(esk14_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
1.14/0.56	cnf(i_0_180, plain, (in(X1,complements_of_subsets(X2,X3))|~in(subset_complement(X2,X1),X3)|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2)))).
1.14/0.56	cnf(i_0_70, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_inverse(X3))|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~relation(X3))).
1.14/0.56	cnf(i_0_181, plain, (in(subset_complement(X1,X2),X3)|~in(X2,complements_of_subsets(X1,X3))|~element(X3,powerset(powerset(X1))))).
1.14/0.56	cnf(i_0_14, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk1_3(X2,relation_dom(X2),X1))),X2)|~in(X1,relation_dom(X2))|~relation(X2))).
1.14/0.56	cnf(i_0_71, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),relation_inverse(X3))|~relation(X3))).
1.14/0.56	cnf(i_0_151, 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)|~in(X1,relation_rng(X2))|~relation(X2))).
1.14/0.56	cnf(i_0_118, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk23_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(X2,X3))|~relation(X3)|~relation(X2))).
1.14/0.56	cnf(i_0_91, plain, (unordered_pair(unordered_pair(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),esk13_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),esk14_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
1.14/0.56	cnf(i_0_120, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(X3,X4))|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X4)|~relation(X3)|~relation(X4))).
1.14/0.56	cnf(i_0_119, plain, (in(unordered_pair(unordered_pair(X1,esk23_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk23_5(X2,X3,relation_composition(X2,X3),X4,X1),esk23_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_composition(X2,X3))|~relation(X3)|~relation(X2))).
1.14/0.56	# End listing active clauses.  There is an equivalent clause to each of these in the clausification!
1.14/0.56	# Begin printing tableau
1.14/0.56	# Found 8 steps
1.14/0.56	cnf(i_0_146, negated_conjecture, (relation_rng(empty_set)!=empty_set|relation_dom(empty_set)!=empty_set), inference(start_rule)).
1.14/0.56	cnf(i_0_338, plain, (relation_rng(empty_set)!=empty_set), inference(extension_rule, [i_0_148])).
1.14/0.56	cnf(i_0_767, plain, (in(unordered_pair(unordered_pair(esk27_2(empty_set,empty_set),esk28_2(empty_set,empty_set)),unordered_pair(esk28_2(empty_set,empty_set),esk28_2(empty_set,empty_set))),empty_set)), inference(closure_rule, [i_0_240])).
1.14/0.56	cnf(i_0_768, plain, (in(esk27_2(empty_set,empty_set),empty_set)), inference(closure_rule, [i_0_240])).
1.14/0.56	cnf(i_0_769, plain, (~relation(empty_set)), inference(closure_rule, [i_0_107])).
1.14/0.56	cnf(i_0_339, plain, (relation_dom(empty_set)!=empty_set), inference(extension_rule, [i_0_78])).
1.14/0.56	cnf(i_0_888, plain, (~empty(relation_dom(empty_set))), inference(extension_rule, [i_0_65])).
1.14/0.56	cnf(i_0_898, plain, (~empty(esk10_1(relation_dom(empty_set)))), inference(etableau_closure_rule, [i_0_898, ...])).
1.14/0.56	# End printing tableau
1.14/0.56	# SZS output end
1.14/0.56	# Branches closed with saturation will be marked with an "s"
1.14/0.56	# Child (26049) has found a proof.
1.14/0.56	
1.14/0.56	# Proof search is over...
1.14/0.56	# Freeing feature tree
1.14/0.57	EOF