%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SET066-7 : 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 : n022.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 00:57:16 EDT 2022 % Result : Unsatisfiable 63.52s 9.39s % Output : CNFRefutation 63.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SET066-7 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.08/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sun Jul 10 17:41:25 EDT 2022 % 0.14/0.35 % CPUTime : % 0.14/0.39 # No SInE strategy applied % 0.14/0.39 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y % 0.14/0.39 # and selection function SelectMaxLComplexAvoidPosPred. % 0.14/0.39 # % 0.14/0.39 # Presaturation interreduction done % 0.14/0.39 # Number of axioms: 93 Number of unprocessed: 90 % 0.14/0.39 # Tableaux proof search. % 0.14/0.39 # APR header successfully linked. % 0.14/0.39 # Hello from C++ % 1.22/1.43 # The folding up rule is enabled... % 1.22/1.43 # Local unification is enabled... % 1.22/1.43 # Any saturation attempts will use folding labels... % 1.22/1.43 # 90 beginning clauses after preprocessing and clausification % 1.22/1.43 # Creating start rules for all 1 conjectures. % 1.22/1.43 # There are 1 start rule candidates: % 1.22/1.43 # Found 20 unit axioms. % 1.22/1.43 # 1 start rule tableaux created. % 1.22/1.43 # 70 extension rule candidate clauses % 1.22/1.43 # 20 unit axiom clauses % 1.22/1.43 % 1.22/1.43 # Requested 8, 32 cores available to the main process. % 1.22/1.43 # There are not enough tableaux to fork, creating more from the initial 1 % 1.33/1.50 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux. % 1.33/1.50 # We now have 12 tableaux to operate on % 63.52/9.39 # There were 22 total branch saturation attempts. % 63.52/9.39 # There were 15 of these attempts blocked. % 63.52/9.39 # There were 0 deferred branch saturation attempts. % 63.52/9.39 # There were 0 free duplicated saturations. % 63.52/9.39 # There were 2 total successful branch saturations. % 63.52/9.39 # There were 0 successful branch saturations in interreduction. % 63.52/9.39 # There were 0 successful branch saturations on the branch. % 63.52/9.39 # There were 2 successful branch saturations after the branch. % 63.52/9.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 63.52/9.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 63.52/9.39 # Begin clausification derivation % 63.52/9.39 % 63.52/9.39 # End clausification derivation % 63.52/9.39 # Begin listing active clauses obtained from FOF to CNF conversion % 63.52/9.39 cnf(i_0_177, plain, (function(choice))). % 63.52/9.39 cnf(i_0_204, plain, (subclass(X1,X1))). % 63.52/9.39 cnf(i_0_158, plain, (inductive(omega))). % 63.52/9.39 cnf(i_0_215, plain, (member(null_class,universal_class))). % 63.52/9.39 cnf(i_0_160, plain, (member(omega,universal_class))). % 63.52/9.39 cnf(i_0_112, plain, (subclass(X1,universal_class))). % 63.52/9.39 cnf(i_0_212, plain, (subclass(null_class,X1))). % 63.52/9.39 cnf(i_0_119, plain, (member(unordered_pair(X1,X2),universal_class))). % 63.52/9.39 cnf(i_0_126, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))). % 63.52/9.39 cnf(i_0_152, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))). % 63.52/9.39 cnf(i_0_165, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))). % 63.52/9.39 cnf(i_0_183, plain, (intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation)). % 63.52/9.39 cnf(i_0_140, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). % 63.52/9.39 cnf(i_0_143, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). % 63.52/9.39 cnf(i_0_185, plain, (intersection(domain_of(X1),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X1),identity_relation))))=cantor(X1))). % 63.52/9.39 cnf(i_0_182, 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)). % 63.52/9.39 cnf(i_0_137, plain, (intersection(cross_product(X1,X2),X3)=intersection(X3,cross_product(X1,X2)))). % 63.52/9.39 cnf(i_0_216, negated_conjecture, (unordered_pair(x,y)!=unordered_pair(y,x))). % 63.52/9.39 cnf(i_0_211, plain, (~member(X1,null_class))). % 63.52/9.39 cnf(i_0_210, plain, (~member(X1,intersection(complement(X2),X2)))). % 63.52/9.39 cnf(i_0_179, plain, (function(X1)|~one_to_one(X1))). % 63.52/9.39 cnf(i_0_186, plain, (function(X1)|~operation(X1))). % 63.52/9.39 cnf(i_0_213, plain, (X1=null_class|~subclass(X1,null_class))). % 63.52/9.39 cnf(i_0_175, plain, (intersection(X1,regular(X1))=null_class|X1=null_class)). % 63.52/9.39 cnf(i_0_159, plain, (subclass(omega,X1)|~inductive(X1))). % 63.52/9.39 cnf(i_0_155, plain, (member(null_class,X1)|~inductive(X1))). % 63.52/9.39 cnf(i_0_195, plain, (operation(X1)|~homomorphism(X2,X3,X1))). % 63.52/9.39 cnf(i_0_194, plain, (operation(X1)|~homomorphism(X2,X1,X3))). % 63.52/9.39 cnf(i_0_116, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))). % 63.52/9.39 cnf(i_0_190, plain, (function(X1)|~compatible(X1,X2,X3))). % 63.52/9.39 cnf(i_0_174, plain, (X1=null_class|member(regular(X1),X1))). % 63.52/9.39 cnf(i_0_214, plain, (X1=null_class|member(not_subclass_element(X1,null_class),X1))). % 63.52/9.39 cnf(i_0_196, plain, (compatible(X1,X2,X3)|~homomorphism(X1,X2,X3))). % 63.52/9.39 cnf(i_0_132, plain, (~member(X1,complement(X2))|~member(X1,X2))). % 63.52/9.39 cnf(i_0_118, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))). % 63.52/9.39 cnf(i_0_117, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))). % 63.52/9.39 cnf(i_0_170, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))). % 63.52/9.39 cnf(i_0_191, plain, (domain_of(domain_of(X1))=domain_of(X2)|~compatible(X2,X1,X3))). % 63.52/9.39 cnf(i_0_110, plain, (member(not_subclass_element(X1,X2),X1)|subclass(X1,X2))). % 63.52/9.39 cnf(i_0_115, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))). % 63.52/9.39 cnf(i_0_130, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). % 63.52/9.39 cnf(i_0_129, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). % 63.52/9.39 cnf(i_0_133, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))). % 63.52/9.39 cnf(i_0_111, plain, (subclass(X1,X2)|~member(not_subclass_element(X1,X2),X2))). % 63.52/9.39 cnf(i_0_180, plain, (function(domain_of(flip(cross_product(X1,universal_class))))|~one_to_one(X1))). % 63.52/9.39 cnf(i_0_205, plain, (subclass(X1,X2)|~subclass(X3,X2)|~subclass(X1,X3))). % 63.52/9.39 cnf(i_0_131, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). % 63.52/9.39 cnf(i_0_109, plain, (member(X1,X2)|~member(X1,X3)|~subclass(X3,X2))). % 63.52/9.39 cnf(i_0_138, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))). % 63.52/9.39 cnf(i_0_127, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))). % 63.52/9.39 cnf(i_0_187, plain, (cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1)))=domain_of(X1)|~operation(X1))). % 63.52/9.39 cnf(i_0_162, plain, (member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),universal_class)|~member(X1,universal_class))). % 63.52/9.39 cnf(i_0_181, plain, (one_to_one(X1)|~function(domain_of(flip(cross_product(X1,universal_class))))|~function(X1))). % 63.52/9.39 cnf(i_0_206, plain, (X1=X2|member(not_subclass_element(X1,X2),X1)|member(not_subclass_element(X2,X1),X2))). % 63.52/9.39 cnf(i_0_123, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))). % 63.52/9.39 cnf(i_0_122, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))). % 63.52/9.39 cnf(i_0_203, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(X3,X4)))). % 63.52/9.39 cnf(i_0_202, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4)))). % 63.52/9.39 cnf(i_0_139, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))). % 63.52/9.39 cnf(i_0_207, plain, (X1=X2|member(not_subclass_element(X2,X1),X2)|~member(not_subclass_element(X1,X2),X2))). % 63.52/9.39 cnf(i_0_168, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~single_valued_class(X1))). % 63.52/9.39 cnf(i_0_209, plain, (X1=X2|~member(not_subclass_element(X2,X1),X1)|~member(not_subclass_element(X1,X2),X2))). % 63.52/9.39 cnf(i_0_201, 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)))). % 63.52/9.39 cnf(i_0_200, 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)))). % 63.52/9.39 cnf(i_0_124, 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))). % 63.52/9.39 cnf(i_0_153, 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))). % 63.52/9.39 cnf(i_0_171, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))). % 63.52/9.39 cnf(i_0_169, plain, (single_valued_class(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))). % 63.52/9.39 cnf(i_0_188, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X1)))|~operation(X1))). % 63.52/9.39 cnf(i_0_192, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X2)))|~compatible(X1,X3,X2))). % 63.52/9.39 cnf(i_0_125, 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)))). % 63.52/9.39 cnf(i_0_156, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))). % 63.52/9.39 cnf(i_0_128, 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))). % 63.52/9.39 cnf(i_0_173, 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))). % 63.52/9.39 cnf(i_0_172, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))). % 63.52/9.39 cnf(i_0_157, 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))). % 63.52/9.39 cnf(i_0_164, 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))). % 63.52/9.39 cnf(i_0_193, 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))))). % 63.52/9.39 cnf(i_0_154, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation)|complement(intersection(complement(X1),complement(unordered_pair(X1,X1))))!=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)))). % 63.52/9.39 cnf(i_0_189, 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))))). % 63.52/9.39 cnf(i_0_178, 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))). % 63.52/9.39 cnf(i_0_198, 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))). % 63.52/9.39 cnf(i_0_166, 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)))). % 63.52/9.39 cnf(i_0_141, 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)))). % 63.52/9.39 cnf(i_0_144, 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)))). % 63.52/9.39 cnf(i_0_167, 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)))). % 63.52/9.39 cnf(i_0_142, 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))). % 63.52/9.39 cnf(i_0_145, 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))). % 63.52/9.39 cnf(i_0_197, 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)))). % 63.52/9.39 cnf(i_0_199, 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))). % 63.52/9.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 63.52/9.39 # Begin printing tableau % 63.52/9.39 # Found 8 steps % 63.52/9.39 cnf(i_0_216, negated_conjecture, (unordered_pair(x,y)!=unordered_pair(y,x)), inference(start_rule)). % 63.52/9.39 cnf(i_0_219, plain, (unordered_pair(x,y)!=unordered_pair(y,x)), inference(extension_rule, [i_0_115])). % 63.52/9.39 cnf(i_0_260, plain, (~subclass(unordered_pair(y,x),unordered_pair(x,y))), inference(extension_rule, [i_0_110])). % 63.52/9.39 cnf(i_0_410213, plain, (member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))), inference(extension_rule, [i_0_131])). % 63.52/9.39 cnf(i_0_507468, plain, (member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),intersection(complement(unordered_pair(y,x)),unordered_pair(y,x)))), inference(closure_rule, [i_0_210])). % 63.52/9.39 cnf(i_0_261, plain, (~subclass(unordered_pair(x,y),unordered_pair(y,x))), inference(extension_rule, [i_0_111])). % 63.52/9.39 cnf(i_0_507470, plain, (~member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),complement(unordered_pair(y,x)))), inference(etableau_closure_rule, [i_0_507470, ...])). % 63.52/9.39 cnf(i_0_507592, plain, (~member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))), inference(etableau_closure_rule, [i_0_507592, ...])). % 63.52/9.39 # End printing tableau % 63.52/9.39 # SZS output end % 63.52/9.39 # Branches closed with saturation will be marked with an "s" % 64.19/9.41 # Child (12928) has found a proof. % 64.19/9.41 % 64.19/9.41 # Proof search is over... % 64.19/9.41 # Freeing feature tree %------------------------------------------------------------------------------