TSTP Solution File: NUM066-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM066-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n009.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 : Mon Jul 18 09:38:40 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM066-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 17:53:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.39 # No SInE strategy applied
% 0.18/0.39 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 0.18/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.39 #
% 0.18/0.39 # Presaturation interreduction done
% 0.18/0.39 # Number of axioms: 143 Number of unprocessed: 142
% 0.18/0.39 # Tableaux proof search.
% 0.18/0.39 # APR header successfully linked.
% 0.18/0.39 # Hello from C++
% 0.18/0.39 # The folding up rule is enabled...
% 0.18/0.39 # Local unification is enabled...
% 0.18/0.39 # Any saturation attempts will use folding labels...
% 0.18/0.39 # 142 beginning clauses after preprocessing and clausification
% 0.18/0.39 # Creating start rules for all 4 conjectures.
% 0.18/0.39 # There are 4 start rule candidates:
% 0.18/0.39 # Found 32 unit axioms.
% 0.18/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.39 # 4 start rule tableaux created.
% 0.18/0.39 # 110 extension rule candidate clauses
% 0.18/0.39 # 32 unit axiom clauses
% 0.18/0.39
% 0.18/0.39 # Requested 8, 32 cores available to the main process.
% 0.18/0.39 # There are not enough tableaux to fork, creating more from the initial 4
% 0.18/0.39 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.39 # We now have 12 tableaux to operate on
% 0.18/0.47 # There were 2 total branch saturation attempts.
% 0.18/0.47 # There were 0 of these attempts blocked.
% 0.18/0.47 # There were 0 deferred branch saturation attempts.
% 0.18/0.47 # There were 0 free duplicated saturations.
% 0.18/0.47 # There were 2 total successful branch saturations.
% 0.18/0.47 # There were 0 successful branch saturations in interreduction.
% 0.18/0.47 # There were 0 successful branch saturations on the branch.
% 0.18/0.47 # There were 2 successful branch saturations after the branch.
% 0.18/0.47 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 # Begin clausification derivation
% 0.18/0.47
% 0.18/0.47 # End clausification derivation
% 0.18/0.47 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.47 cnf(i_0_322, negated_conjecture, (subclass(u,y))).
% 0.18/0.47 cnf(i_0_323, negated_conjecture, (member(v,u))).
% 0.18/0.47 cnf(i_0_321, negated_conjecture, (well_ordering(element_relation,y))).
% 0.18/0.47 cnf(i_0_324, negated_conjecture, (member(v,least(element_relation,u)))).
% 0.18/0.47 cnf(i_0_212, plain, (inductive(omega))).
% 0.18/0.47 cnf(i_0_231, plain, (function(choice))).
% 0.18/0.47 cnf(i_0_214, plain, (member(omega,universal_class))).
% 0.18/0.47 cnf(i_0_166, plain, (subclass(X1,universal_class))).
% 0.18/0.47 cnf(i_0_301, plain, (intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals)).
% 0.18/0.47 cnf(i_0_180, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_206, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_260, plain, (subclass(domain_relation,cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_306, plain, (subclass(rest_relation,cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_314, plain, (subclass(union_of_range_map,cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_173, plain, (member(unordered_pair(X1,X2),universal_class))).
% 0.18/0.47 cnf(i_0_254, plain, (subclass(compose_class(X1),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_302, plain, (subclass(rest_of(X1),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_266, plain, (intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation)).
% 0.18/0.47 cnf(i_0_219, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_257, plain, (subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))))).
% 0.18/0.47 cnf(i_0_267, plain, (subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))))).
% 0.18/0.47 cnf(i_0_237, plain, (intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation)).
% 0.18/0.47 cnf(i_0_194, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 0.18/0.47 cnf(i_0_197, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 0.18/0.47 cnf(i_0_239, plain, (intersection(domain_of(X1),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X1),identity_relation))))=cantor(X1))).
% 0.18/0.47 cnf(i_0_236, plain, (intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class)))))))=subset_relation)).
% 0.18/0.47 cnf(i_0_300, plain, (complement(intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class)))))))=kind_1_ordinals)).
% 0.18/0.47 cnf(i_0_317, plain, (domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(recursion(X1,successor_relation,union_of_range_map),cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))))))=ordinal_add(X1,X2))).
% 0.18/0.47 cnf(i_0_265, plain, (first(not_subclass_element(intersection(X1,cross_product(domain_of(domain_of(flip(cross_product(intersection(domain_of(flip(cross_product(X1,universal_class))),cross_product(unordered_pair(first(not_subclass_element(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)),first(not_subclass_element(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))),universal_class)),universal_class)))),unordered_pair(second(not_subclass_element(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)),second(not_subclass_element(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))))),null_class))=single_valued3(X1))).
% 0.18/0.47 cnf(i_0_168, plain, (subclass(X1,X1))).
% 0.18/0.47 cnf(i_0_191, plain, (intersection(cross_product(X1,X2),X3)=intersection(X3,cross_product(X1,X2)))).
% 0.18/0.47 cnf(i_0_318, plain, (recursion(null_class,domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(add_relation,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),union_of_range_map)=ordinal_multiply(X1,X2))).
% 0.18/0.47 cnf(i_0_233, plain, (function(X1)|~one_to_one(X1))).
% 0.18/0.47 cnf(i_0_240, plain, (function(X1)|~operation(X1))).
% 0.18/0.47 cnf(i_0_213, plain, (subclass(omega,X1)|~inductive(X1))).
% 0.18/0.47 cnf(i_0_296, plain, (well_ordering(element_relation,X1)|~member(X1,ordinal_numbers))).
% 0.18/0.47 cnf(i_0_209, plain, (member(null_class,X1)|~inductive(X1))).
% 0.18/0.47 cnf(i_0_186, plain, (~member(X1,complement(X2))|~member(X1,X2))).
% 0.18/0.47 cnf(i_0_309, plain, (function(X1)|~member(X2,recursion_equation_functions(X1)))).
% 0.18/0.47 cnf(i_0_310, plain, (function(X1)|~member(X1,recursion_equation_functions(X2)))).
% 0.18/0.47 cnf(i_0_244, plain, (function(X1)|~compatible(X1,X2,X3))).
% 0.18/0.47 cnf(i_0_271, plain, (function(X1)|~maps(X1,X2,X3))).
% 0.18/0.47 cnf(i_0_320, plain, (integer_of(X1)=null_class|member(X1,omega))).
% 0.18/0.47 cnf(i_0_319, plain, (integer_of(X1)=X1|~member(X1,omega))).
% 0.18/0.47 cnf(i_0_285, plain, (connected(X1,X2)|~well_ordering(X1,X2))).
% 0.18/0.47 cnf(i_0_249, plain, (operation(X1)|~homomorphism(X2,X3,X1))).
% 0.18/0.47 cnf(i_0_248, plain, (operation(X1)|~homomorphism(X2,X1,X3))).
% 0.18/0.47 cnf(i_0_229, plain, (intersection(X1,regular(X1))=null_class|X1=null_class)).
% 0.18/0.47 cnf(i_0_293, plain, (subclass(X1,X2)|~section(X3,X1,X2))).
% 0.18/0.47 cnf(i_0_272, plain, (domain_of(X1)=X2|~maps(X1,X2,X3))).
% 0.18/0.47 cnf(i_0_184, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 0.18/0.47 cnf(i_0_183, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 0.18/0.47 cnf(i_0_169, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))).
% 0.18/0.47 cnf(i_0_228, plain, (X1=null_class|member(regular(X1),X1))).
% 0.18/0.47 cnf(i_0_165, plain, (subclass(X1,X2)|~member(not_subclass_element(X1,X2),X2))).
% 0.18/0.47 cnf(i_0_311, plain, (member(domain_of(X1),ordinal_numbers)|~member(X1,recursion_equation_functions(X2)))).
% 0.18/0.47 cnf(i_0_250, plain, (compatible(X1,X2,X3)|~homomorphism(X1,X2,X3))).
% 0.18/0.47 cnf(i_0_290, plain, (well_ordering(X1,X2)|not_well_ordering(X1,X2)!=null_class|~connected(X1,X2))).
% 0.18/0.47 cnf(i_0_163, plain, (member(X1,X2)|~member(X1,X3)|~subclass(X3,X2))).
% 0.18/0.47 cnf(i_0_224, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))).
% 0.18/0.47 cnf(i_0_172, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_171, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_312, plain, (compose(X1,rest_of(X2))=X2|~member(X2,recursion_equation_functions(X1)))).
% 0.18/0.47 cnf(i_0_235, plain, (one_to_one(X1)|~function(domain_of(flip(cross_product(X1,universal_class))))|~function(X1))).
% 0.18/0.47 cnf(i_0_192, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))).
% 0.18/0.47 cnf(i_0_245, plain, (domain_of(domain_of(X1))=domain_of(X2)|~compatible(X2,X1,X3))).
% 0.18/0.47 cnf(i_0_170, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))).
% 0.18/0.47 cnf(i_0_164, plain, (member(not_subclass_element(X1,X2),X1)|subclass(X1,X2))).
% 0.18/0.47 cnf(i_0_187, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_185, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 0.18/0.47 cnf(i_0_241, plain, (cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1)))=domain_of(X1)|~operation(X1))).
% 0.18/0.47 cnf(i_0_223, plain, (single_valued_class(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))).
% 0.18/0.47 cnf(i_0_277, plain, (irreflexive(X1,X2)|~subclass(intersection(X1,cross_product(X2,X2)),complement(identity_relation)))).
% 0.18/0.47 cnf(i_0_234, plain, (function(domain_of(flip(cross_product(X1,universal_class))))|~one_to_one(X1))).
% 0.18/0.47 cnf(i_0_181, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))).
% 0.18/0.47 cnf(i_0_291, plain, (well_ordering(X1,X2)|subclass(not_well_ordering(X1,X2),X2)|~connected(X1,X2))).
% 0.18/0.47 cnf(i_0_298, plain, (member(X1,ordinal_numbers)|~well_ordering(element_relation,X1)|~member(X1,universal_class)|~subclass(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X1))).
% 0.18/0.47 cnf(i_0_216, plain, (member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),universal_class)|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_226, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_295, plain, (section(X1,X2,X3)|~subclass(domain_of(intersection(X1,cross_product(X3,X2))),X2)|~subclass(X2,X3))).
% 0.18/0.47 cnf(i_0_313, plain, (member(X1,recursion_equation_functions(X2))|compose(X2,rest_of(X1))!=X1|~function(X1)|~function(X2)|~member(domain_of(X1),ordinal_numbers))).
% 0.18/0.47 cnf(i_0_261, plain, (domain_of(X1)=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_relation))).
% 0.18/0.47 cnf(i_0_297, plain, (subclass(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X1)|~member(X1,ordinal_numbers))).
% 0.18/0.47 cnf(i_0_286, plain, (X1=null_class|member(least(X2,X1),X1)|~well_ordering(X2,X3)|~subclass(X1,X3))).
% 0.18/0.47 cnf(i_0_299, plain, (X1=ordinal_numbers|member(X1,ordinal_numbers)|~well_ordering(element_relation,X1)|~subclass(domain_of(intersection(element_relation,cross_product(universal_class,X1))),X1))).
% 0.18/0.47 cnf(i_0_287, plain, (member(least(X1,X2),X2)|~well_ordering(X1,X3)|~member(X4,X2)|~subclass(X2,X3))).
% 0.18/0.47 cnf(i_0_276, plain, (subclass(intersection(X1,cross_product(X2,X2)),complement(identity_relation))|~irreflexive(X1,X2))).
% 0.18/0.47 cnf(i_0_193, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))).
% 0.18/0.47 cnf(i_0_222, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~single_valued_class(X1))).
% 0.18/0.47 cnf(i_0_307, plain, (rest_of(X1)=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),rest_relation))).
% 0.18/0.47 cnf(i_0_283, plain, (asymmetric(X1,X2)|intersection(intersection(X1,domain_of(flip(cross_product(X1,universal_class)))),cross_product(X2,X2))!=null_class)).
% 0.18/0.47 cnf(i_0_211, plain, (inductive(X1)|~member(null_class,X1)|~subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1))).
% 0.18/0.47 cnf(i_0_177, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))).
% 0.18/0.47 cnf(i_0_225, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))).
% 0.18/0.47 cnf(i_0_294, plain, (subclass(domain_of(intersection(X1,cross_product(X2,X3))),X3)|~section(X1,X3,X2))).
% 0.18/0.47 cnf(i_0_303, plain, (member(X1,domain_of(X2))|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),rest_of(X2)))).
% 0.18/0.47 cnf(i_0_176, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))).
% 0.18/0.47 cnf(i_0_273, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),X2)|~maps(X1,X3,X2))).
% 0.18/0.47 cnf(i_0_242, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X1)))|~operation(X1))).
% 0.18/0.47 cnf(i_0_210, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))).
% 0.18/0.47 cnf(i_0_255, plain, (compose(X1,X2)=X3|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose_class(X1)))).
% 0.18/0.47 cnf(i_0_274, plain, (maps(X1,domain_of(X1),X2)|~function(X1)|~subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),X2))).
% 0.18/0.47 cnf(i_0_243, plain, (operation(X1)|cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1)))!=domain_of(X1)|~function(X1)|~subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X1))))).
% 0.18/0.47 cnf(i_0_292, plain, (well_ordering(X1,X2)|domain_of(intersection(X1,cross_product(not_well_ordering(X1,X2),unordered_pair(X3,X3))))!=null_class|~connected(X1,X2)|~member(X3,not_well_ordering(X1,X2)))).
% 0.18/0.47 cnf(i_0_282, plain, (intersection(intersection(X1,domain_of(flip(cross_product(X1,universal_class)))),cross_product(X2,X2))=null_class|~asymmetric(X1,X2))).
% 0.18/0.47 cnf(i_0_304, plain, (intersection(X1,cross_product(X2,universal_class))=X3|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),rest_of(X1)))).
% 0.18/0.47 cnf(i_0_246, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X2)))|~compatible(X1,X3,X2))).
% 0.18/0.47 cnf(i_0_289, plain, (~well_ordering(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(least(X1,X4),least(X1,X4)))),X1)|~member(X3,X4)|~subclass(X4,X2))).
% 0.18/0.47 cnf(i_0_207, plain, (complement(intersection(complement(X1),complement(unordered_pair(X1,X1))))=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))).
% 0.18/0.47 cnf(i_0_179, plain, (unordered_pair(unordered_pair(first(X1),first(X1)),unordered_pair(first(X1),unordered_pair(second(X1),second(X1))))=X1|~member(X1,cross_product(X2,X3)))).
% 0.18/0.47 cnf(i_0_262, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(X1),domain_of(X1)))),domain_relation)|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_281, plain, (transitive(X1,X2)|~subclass(compose(intersection(X1,cross_product(X2,X2)),intersection(X1,cross_product(X2,X2))),intersection(X1,cross_product(X2,X2))))).
% 0.18/0.47 cnf(i_0_247, plain, (compatible(X1,X2,X3)|domain_of(domain_of(X2))!=domain_of(X1)|~function(X1)|~subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X3))))).
% 0.18/0.47 cnf(i_0_279, plain, (connected(X1,X2)|~subclass(cross_product(X2,X2),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class)))))))))))).
% 0.18/0.47 cnf(i_0_227, plain, (member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),universal_class)|~function(X1)|~member(X2,universal_class))).
% 0.18/0.47 cnf(i_0_308, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(rest_of(X1),rest_of(X1)))),rest_relation)|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_218, plain, (member(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X1),universal_class)),universal_class))))),universal_class)|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_288, plain, (domain_of(intersection(X1,cross_product(X2,unordered_pair(least(X1,X2),least(X1,X2)))))=null_class|~well_ordering(X1,X3)|~subclass(X2,X3))).
% 0.18/0.47 cnf(i_0_178, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3))).
% 0.18/0.47 cnf(i_0_315, plain, (domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(X1,universal_class)))))))=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),union_of_range_map))).
% 0.18/0.47 cnf(i_0_182, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))|~member(X1,X2))).
% 0.18/0.47 cnf(i_0_268, plain, (member(X1,domain_of(X2))|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3)))))),application_function))).
% 0.18/0.47 cnf(i_0_258, plain, (compose(X1,X2)=X3|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))))),composition_function))).
% 0.18/0.47 cnf(i_0_280, plain, (subclass(compose(intersection(X1,cross_product(X2,X2)),intersection(X1,cross_product(X2,X2))),intersection(X1,cross_product(X2,X2)))|~transitive(X1,X2))).
% 0.18/0.47 cnf(i_0_278, plain, (subclass(cross_product(X1,X1),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X2),complement(domain_of(flip(cross_product(X2,universal_class))))))))))|~connected(X2,X1))).
% 0.18/0.47 cnf(i_0_232, plain, (X1=null_class|member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),X1)|~member(X1,universal_class))).
% 0.18/0.47 cnf(i_0_269, plain, (domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))))))=X3|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))))),application_function))).
% 0.18/0.47 cnf(i_0_221, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(X3,X4))|~member(X2,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(domain_of(domain_of(flip(cross_product(intersection(X4,cross_product(unordered_pair(X1,X1),universal_class)),universal_class)))),universal_class)),universal_class)))))|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_220, plain, (member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X4,X4),universal_class)),universal_class)))),universal_class)),universal_class)))))|~member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X1,X1))),compose(X2,X3)))).
% 0.18/0.47 cnf(i_0_252, plain, (homomorphism(X1,X2,X3)|member(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),domain_of(X2))|~compatible(X1,X2,X3)|~operation(X3)|~operation(X2))).
% 0.18/0.47 cnf(i_0_259, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(compose(X1,X2),compose(X1,X2)))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(compose(X1,X2),compose(X1,X2))))))),composition_function)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_195, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(X2,X2))),rotate(X4)))).
% 0.18/0.47 cnf(i_0_198, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),flip(X4)))).
% 0.18/0.47 cnf(i_0_196, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X4))).
% 0.18/0.47 cnf(i_0_199, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),flip(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),X4))).
% 0.18/0.47 cnf(i_0_270, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X2,X2),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X2,X2),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X2,X2),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(X2,X2),universal_class)),universal_class))))))))))))),application_function)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))))),cross_product(universal_class,cross_product(universal_class,universal_class)))|~member(X2,domain_of(X1)))).
% 0.18/0.47 cnf(i_0_253, plain, (homomorphism(X1,X2,X3)|domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)),universal_class)),universal_class))))))))))),universal_class)),universal_class)))))))!=domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3)))),unordered_pair(unordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X3)),unordered_pair(not_homomorphism1(X1,X2,X3),unordered_pair(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X3))))),universal_class)),universal_class)))))))),universal_class)),universal_class)))))))|~compatible(X1,X2,X3)|~operation(X3)|~operation(X2))).
% 0.18/0.47 cnf(i_0_251, plain, (domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(unordered_pair(unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X3,X3),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X3,X3),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X3,X3),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X4,X4),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X4,X4),universal_class)),universal_class)))))))))),unordered_pair(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X3,X3),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X3,X3),universal_class)),universal_class)))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X3,X3),universal_class)),universal_class))))))),unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X4,X4),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(X4,X4),universal_class)),universal_class))))))))))),universal_class)),universal_class)))))))=domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class)),universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X5,cross_product(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4)))),universal_class)),universal_class)))))))),universal_class)),universal_class)))))))|~homomorphism(X2,X5,X1)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),domain_of(X5)))).
% 0.18/0.47 cnf(i_0_305, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(intersection(X2,cross_product(X1,universal_class)),intersection(X2,cross_product(X1,universal_class))))),rest_of(X2))|~member(X1,domain_of(X2)))).
% 0.18/0.47 cnf(i_0_256, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(compose(X2,X1),compose(X2,X1)))),compose_class(X2))|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(compose(X2,X1),compose(X2,X1)))),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_208, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(complement(intersection(complement(X1),complement(unordered_pair(X1,X1)))),complement(intersection(complement(X1),complement(unordered_pair(X1,X1))))))),successor_relation)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(complement(intersection(complement(X1),complement(unordered_pair(X1,X1)))),complement(intersection(complement(X1),complement(unordered_pair(X1,X1))))))),cross_product(universal_class,universal_class)))).
% 0.18/0.47 cnf(i_0_316, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(X1,universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(X1,universal_class)))))))))),union_of_range_map)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(X1,universal_class))))))),domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(X1,universal_class)))))))))),cross_product(universal_class,universal_class)))).
% 0.18/0.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.18/0.47 # Begin printing tableau
% 0.18/0.47 # Found 5 steps
% 0.18/0.47 cnf(i_0_324, negated_conjecture, (member(v,least(element_relation,u))), inference(start_rule)).
% 0.18/0.47 cnf(i_0_331, plain, (member(v,least(element_relation,u))), inference(extension_rule, [i_0_182])).
% 0.18/0.47 cnf(i_0_546, plain, (member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(least(element_relation,u),least(element_relation,u)))),element_relation)), inference(extension_rule, [i_0_186])).
% 0.18/0.47 cnf(i_0_547, plain, (~member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(least(element_relation,u),least(element_relation,u)))),cross_product(universal_class,universal_class))), inference(etableau_closure_rule, [i_0_547, ...])).
% 0.18/0.47 cnf(i_0_613, plain, (~member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(least(element_relation,u),least(element_relation,u)))),complement(element_relation))), inference(etableau_closure_rule, [i_0_613, ...])).
% 0.18/0.47 # End printing tableau
% 0.18/0.47 # SZS output end
% 0.18/0.47 # Branches closed with saturation will be marked with an "s"
% 0.18/0.48 # Child (18862) has found a proof.
% 0.18/0.48
% 0.18/0.48 # Proof search is over...
% 0.18/0.48 # Freeing feature tree
%------------------------------------------------------------------------------