TSTP Solution File: SET108-7 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET108-7 : 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 : n023.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 00:57:58 EDT 2022
% Result : Unsatisfiable 7.62s 1.31s
% Output : CNFRefutation 7.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET108-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Sun Jul 10 14:44:55 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.18/0.36 # No SInE strategy applied
% 0.18/0.36 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 0.18/0.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.36 #
% 0.18/0.36 # Presaturation interreduction done
% 0.18/0.36 # Number of axioms: 139 Number of unprocessed: 131
% 0.18/0.36 # Tableaux proof search.
% 0.18/0.36 # APR header successfully linked.
% 0.18/0.36 # Hello from C++
% 0.18/0.36 # The folding up rule is enabled...
% 0.18/0.36 # Local unification is enabled...
% 0.18/0.36 # Any saturation attempts will use folding labels...
% 0.18/0.36 # 131 beginning clauses after preprocessing and clausification
% 0.18/0.36 # Creating start rules for all 2 conjectures.
% 0.18/0.36 # There are 2 start rule candidates:
% 0.18/0.36 # Found 29 unit axioms.
% 0.18/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.36 # 2 start rule tableaux created.
% 0.18/0.36 # 102 extension rule candidate clauses
% 0.18/0.36 # 29 unit axiom clauses
% 0.18/0.36
% 0.18/0.36 # Requested 8, 32 cores available to the main process.
% 0.18/0.36 # There are not enough tableaux to fork, creating more from the initial 2
% 0.18/0.36 # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.36 # We now have 9 tableaux to operate on
% 7.62/1.31 # There were 1 total branch saturation attempts.
% 7.62/1.31 # There were 0 of these attempts blocked.
% 7.62/1.31 # There were 0 deferred branch saturation attempts.
% 7.62/1.31 # There were 0 free duplicated saturations.
% 7.62/1.31 # There were 1 total successful branch saturations.
% 7.62/1.31 # There were 0 successful branch saturations in interreduction.
% 7.62/1.31 # There were 0 successful branch saturations on the branch.
% 7.62/1.31 # There were 1 successful branch saturations after the branch.
% 7.62/1.31 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.62/1.31 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.62/1.31 # Begin clausification derivation
% 7.62/1.31
% 7.62/1.31 # End clausification derivation
% 7.62/1.31 # Begin listing active clauses obtained from FOF to CNF conversion
% 7.62/1.31 cnf(i_0_204, plain, (inductive(omega))).
% 7.62/1.31 cnf(i_0_261, plain, (member(null_class,universal_class))).
% 7.62/1.31 cnf(i_0_206, plain, (member(omega,universal_class))).
% 7.62/1.31 cnf(i_0_307, negated_conjecture, (member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_223, plain, (function(choice))).
% 7.62/1.31 cnf(i_0_158, plain, (subclass(X1,universal_class))).
% 7.62/1.31 cnf(i_0_258, plain, (subclass(null_class,X1))).
% 7.62/1.31 cnf(i_0_250, plain, (subclass(X1,X1))).
% 7.62/1.31 cnf(i_0_172, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_198, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_165, plain, (member(unordered_pair(X1,X2),universal_class))).
% 7.62/1.31 cnf(i_0_278, plain, (member(null_class,unordered_pair(null_class,null_class)))).
% 7.62/1.31 cnf(i_0_186, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 7.62/1.31 cnf(i_0_189, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 7.62/1.31 cnf(i_0_211, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_264, plain, (subclass(unordered_pair(X1,X1),unordered_pair(X2,X1)))).
% 7.62/1.31 cnf(i_0_263, plain, (subclass(unordered_pair(X1,X1),unordered_pair(X1,X2)))).
% 7.62/1.31 cnf(i_0_229, plain, (intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation)).
% 7.62/1.31 cnf(i_0_275, plain, (member(unordered_pair(X1,X1),unordered_pair(X2,unordered_pair(X1,X1))))).
% 7.62/1.31 cnf(i_0_300, plain, (member(unordered_pair(X1,X1),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))))).
% 7.62/1.31 cnf(i_0_298, plain, (complement(intersection(complement(unordered_pair(X1,X1)),complement(unordered_pair(X2,X2))))=unordered_pair(X1,X2))).
% 7.62/1.31 cnf(i_0_301, plain, (member(unordered_pair(X1,unordered_pair(X2,X2)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))))).
% 7.62/1.31 cnf(i_0_228, 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)).
% 7.62/1.31 cnf(i_0_231, plain, (intersection(domain_of(X1),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X1),identity_relation))))=cantor(X1))).
% 7.62/1.31 cnf(i_0_262, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 7.62/1.31 cnf(i_0_183, plain, (intersection(cross_product(X1,X2),X3)=intersection(X3,cross_product(X1,X2)))).
% 7.62/1.31 cnf(i_0_257, plain, (~member(X1,null_class))).
% 7.62/1.31 cnf(i_0_256, plain, (~member(X1,intersection(complement(X2),X2)))).
% 7.62/1.31 cnf(i_0_308, negated_conjecture, (~member(unordered_pair(unordered_pair(first(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z)))),first(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))))),unordered_pair(first(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z)))),unordered_pair(second(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z)))),second(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))))))),cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_225, plain, (function(X1)|~one_to_one(X1))).
% 7.62/1.31 cnf(i_0_232, plain, (function(X1)|~operation(X1))).
% 7.62/1.31 cnf(i_0_271, plain, (unordered_pair(X1,X2)!=null_class|~member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_201, plain, (member(null_class,X1)|~inductive(X1))).
% 7.62/1.31 cnf(i_0_205, plain, (subclass(omega,X1)|~inductive(X1))).
% 7.62/1.31 cnf(i_0_270, plain, (unordered_pair(X1,X2)!=null_class|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_178, plain, (~member(X1,complement(X2))|~member(X1,X2))).
% 7.62/1.31 cnf(i_0_216, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))).
% 7.62/1.31 cnf(i_0_259, plain, (X1=null_class|~subclass(X1,null_class))).
% 7.62/1.31 cnf(i_0_279, plain, (X1=X2|~member(X1,unordered_pair(X2,X2)))).
% 7.62/1.31 cnf(i_0_280, plain, (unordered_pair(X1,X1)=null_class|member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_236, plain, (function(X1)|~compatible(X1,X2,X3))).
% 7.62/1.31 cnf(i_0_241, plain, (operation(X1)|~homomorphism(X2,X3,X1))).
% 7.62/1.31 cnf(i_0_240, plain, (operation(X1)|~homomorphism(X2,X1,X3))).
% 7.62/1.31 cnf(i_0_176, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 7.62/1.31 cnf(i_0_164, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_163, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_221, plain, (intersection(X1,regular(X1))=null_class|X1=null_class)).
% 7.62/1.31 cnf(i_0_286, plain, (member_of(X1)=X1|member(member_of(X1),universal_class))).
% 7.62/1.31 cnf(i_0_175, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 7.62/1.31 cnf(i_0_157, plain, (subclass(X1,X2)|~member(not_subclass_element(X1,X2),X2))).
% 7.62/1.31 cnf(i_0_161, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))).
% 7.62/1.31 cnf(i_0_242, plain, (compatible(X1,X2,X3)|~homomorphism(X1,X2,X3))).
% 7.62/1.31 cnf(i_0_289, plain, (member_of(X1)=X1|member(member_of1(X1),universal_class))).
% 7.62/1.31 cnf(i_0_284, plain, (member(member_of(unordered_pair(X1,X1)),universal_class)|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_291, plain, (member(X1,universal_class)|unordered_pair(member_of(X1),member_of(X1))!=X1)).
% 7.62/1.31 cnf(i_0_220, plain, (X1=null_class|member(regular(X1),X1))).
% 7.62/1.31 cnf(i_0_288, plain, (member_of(unordered_pair(X1,X1))=X1|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_227, plain, (one_to_one(X1)|~function(domain_of(flip(cross_product(X1,universal_class))))|~function(X1))).
% 7.62/1.31 cnf(i_0_184, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))).
% 7.62/1.31 cnf(i_0_237, plain, (domain_of(domain_of(X1))=domain_of(X2)|~compatible(X2,X1,X3))).
% 7.62/1.31 cnf(i_0_162, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))).
% 7.62/1.31 cnf(i_0_267, plain, (unordered_pair(X1,X2)=null_class|member(X1,universal_class)|member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_282, plain, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X2)|~member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_208, plain, (member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),universal_class)|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_287, plain, (unordered_pair(member_of(X1),member_of(X1))=X1|member_of(X1)=X1)).
% 7.62/1.31 cnf(i_0_260, plain, (X1=null_class|member(not_subclass_element(X1,null_class),X1))).
% 7.62/1.31 cnf(i_0_215, plain, (single_valued_class(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))).
% 7.62/1.31 cnf(i_0_251, plain, (subclass(X1,X2)|~subclass(X3,X2)|~subclass(X1,X3))).
% 7.62/1.31 cnf(i_0_155, plain, (member(X1,X2)|~member(X1,X3)|~subclass(X3,X2))).
% 7.62/1.31 cnf(i_0_293, plain, (subclass(unordered_pair(X1,X1),X2)|~member(X1,X2))).
% 7.62/1.31 cnf(i_0_265, plain, (unordered_pair(X1,X2)=unordered_pair(X1,X1)|member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_266, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X2)|member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_179, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_226, plain, (function(domain_of(flip(cross_product(X1,universal_class))))|~one_to_one(X1))).
% 7.62/1.31 cnf(i_0_290, plain, (unordered_pair(member_of1(X1),member_of1(X1))=X1|member_of(X1)=X1)).
% 7.62/1.31 cnf(i_0_255, plain, (X1=X2|~member(not_subclass_element(X2,X1),X1)|~member(not_subclass_element(X1,X2),X2))).
% 7.62/1.31 cnf(i_0_156, plain, (member(not_subclass_element(X1,X2),X1)|subclass(X1,X2))).
% 7.62/1.31 cnf(i_0_177, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 7.62/1.31 cnf(i_0_273, plain, (subclass(unordered_pair(X1,X2),X3)|~member(X2,X3)|~member(X1,X3))).
% 7.62/1.31 cnf(i_0_173, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))).
% 7.62/1.31 cnf(i_0_249, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(X3,X4)))).
% 7.62/1.31 cnf(i_0_233, plain, (cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1)))=domain_of(X1)|~operation(X1))).
% 7.62/1.31 cnf(i_0_294, plain, (unordered_pair(X1,X1)=X2|X2=null_class|~subclass(X2,unordered_pair(X1,X1)))).
% 7.62/1.31 cnf(i_0_218, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_283, plain, (X1=X2|X3=X2|unordered_pair(X1,X3)!=unordered_pair(X2,X2)|~member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_272, plain, (unordered_pair(X1,X2)!=null_class|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4)))).
% 7.62/1.31 cnf(i_0_292, plain, (member_of(X1)=X2|unordered_pair(member_of(X1),member_of(X1))!=X1|~member(X2,X1))).
% 7.62/1.31 cnf(i_0_248, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4)))).
% 7.62/1.31 cnf(i_0_169, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))).
% 7.62/1.31 cnf(i_0_168, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))).
% 7.62/1.31 cnf(i_0_247, plain, (member(X1,unordered_pair(X2,X1))|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(X3,X4)))).
% 7.62/1.31 cnf(i_0_252, plain, (X1=X2|member(not_subclass_element(X1,X2),X1)|member(not_subclass_element(X2,X1),X2))).
% 7.62/1.31 cnf(i_0_214, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~single_valued_class(X1))).
% 7.62/1.31 cnf(i_0_203, 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))).
% 7.62/1.31 cnf(i_0_253, plain, (X1=X2|member(not_subclass_element(X2,X1),X2)|~member(not_subclass_element(X1,X2),X2))).
% 7.62/1.31 cnf(i_0_217, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))).
% 7.62/1.31 cnf(i_0_185, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_246, plain, (member(X1,unordered_pair(X1,X2))|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4)))).
% 7.62/1.31 cnf(i_0_268, plain, (X1=X2|unordered_pair(X3,X1)!=unordered_pair(X3,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_269, plain, (X1=X2|unordered_pair(X1,X3)!=unordered_pair(X2,X3)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)))).
% 7.62/1.31 cnf(i_0_285, plain, (unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1)))=unordered_pair(X1,X1)|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_235, 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))))).
% 7.62/1.31 cnf(i_0_234, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X1)))|~operation(X1))).
% 7.62/1.31 cnf(i_0_239, 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))))).
% 7.62/1.31 cnf(i_0_306, plain, (X1=X2|unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1)))!=unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X2,X2)))|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_219, 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))).
% 7.62/1.31 cnf(i_0_171, 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)))).
% 7.62/1.31 cnf(i_0_305, plain, (X1=X2|unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3)))!=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X4,X4)))|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_302, plain, (unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))=unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,null_class))|member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_304, plain, (unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))=unordered_pair(null_class,unordered_pair(null_class,null_class))|member(X1,universal_class)|member(X2,universal_class))).
% 7.62/1.31 cnf(i_0_202, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))).
% 7.62/1.31 cnf(i_0_238, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X2)))|~compatible(X1,X3,X2))).
% 7.62/1.31 cnf(i_0_297, plain, (unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))=X1|X1=null_class|not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))),X1),null_class)!=not_subclass_element(X1,null_class))).
% 7.62/1.31 cnf(i_0_174, 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))).
% 7.62/1.31 cnf(i_0_170, 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))).
% 7.62/1.31 cnf(i_0_210, 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))).
% 7.62/1.31 cnf(i_0_303, plain, (unordered_pair(null_class,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)))=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))|member(X2,universal_class)|~member(X1,universal_class))).
% 7.62/1.31 cnf(i_0_199, 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))).
% 7.62/1.31 cnf(i_0_224, 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))).
% 7.62/1.31 cnf(i_0_296, plain, (unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))=X1|X1=null_class|member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))),X1),null_class),X1))).
% 7.62/1.31 cnf(i_0_213, 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)))).
% 7.62/1.31 cnf(i_0_212, 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)))).
% 7.62/1.31 cnf(i_0_295, plain, (unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))=X1|X1=null_class|member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))),X1)))).
% 7.62/1.31 cnf(i_0_244, 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))).
% 7.62/1.31 cnf(i_0_187, 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)))).
% 7.62/1.31 cnf(i_0_190, 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)))).
% 7.62/1.31 cnf(i_0_188, 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))).
% 7.62/1.31 cnf(i_0_191, 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))).
% 7.62/1.31 cnf(i_0_243, 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)))).
% 7.62/1.31 cnf(i_0_245, 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))).
% 7.62/1.31 cnf(i_0_200, 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)))).
% 7.62/1.31 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 7.62/1.31 # Begin printing tableau
% 7.62/1.31 # Found 4 steps
% 7.62/1.31 cnf(i_0_307, negated_conjecture, (member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),cross_product(universal_class,universal_class))), inference(start_rule)).
% 7.62/1.31 cnf(i_0_313, plain, (member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),cross_product(universal_class,universal_class))), inference(extension_rule, [i_0_178])).
% 7.62/1.31 cnf(i_0_577, plain, (~member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),complement(cross_product(universal_class,universal_class)))), inference(extension_rule, [i_0_176])).
% 7.62/1.31 cnf(i_0_606, plain, (~member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),intersection(X6,complement(cross_product(universal_class,universal_class))))), inference(etableau_closure_rule, [i_0_606, ...])).
% 7.62/1.31 # End printing tableau
% 7.62/1.31 # SZS output end
% 7.62/1.31 # Branches closed with saturation will be marked with an "s"
% 7.62/1.32 # Child (17434) has found a proof.
% 7.62/1.32
% 7.62/1.32 # Proof search is over...
% 7.62/1.32 # Freeing feature tree
%------------------------------------------------------------------------------