TSTP Solution File: SET135-6 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET135-6 : 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 : n018.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 00:58:13 EDT 2022
% Result : Unsatisfiable 14.70s 2.25s
% Output : CNFRefutation 14.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET135-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 07:51:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.12/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37 # Number of axioms: 78 Number of unprocessed: 77
% 0.12/0.37 # Tableaux proof search.
% 0.12/0.37 # APR header successfully linked.
% 0.12/0.37 # Hello from C++
% 0.12/0.37 # The folding up rule is enabled...
% 0.12/0.37 # Local unification is enabled...
% 0.12/0.37 # Any saturation attempts will use folding labels...
% 0.12/0.37 # 77 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 2 conjectures.
% 0.12/0.37 # There are 2 start rule candidates:
% 0.12/0.37 # Found 17 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 2 start rule tableaux created.
% 0.12/0.37 # 60 extension rule candidate clauses
% 0.12/0.37 # 17 unit axiom clauses
% 0.12/0.37
% 0.12/0.37 # Requested 8, 32 cores available to the main process.
% 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 2
% 0.12/0.37 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 15 tableaux to operate on
% 14.70/2.25 # There were 2 total branch saturation attempts.
% 14.70/2.25 # There were 0 of these attempts blocked.
% 14.70/2.25 # There were 0 deferred branch saturation attempts.
% 14.70/2.25 # There were 0 free duplicated saturations.
% 14.70/2.25 # There were 2 total successful branch saturations.
% 14.70/2.25 # There were 0 successful branch saturations in interreduction.
% 14.70/2.25 # There were 0 successful branch saturations on the branch.
% 14.70/2.25 # There were 2 successful branch saturations after the branch.
% 14.70/2.25 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.70/2.25 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.70/2.25 # Begin clausification derivation
% 14.70/2.25
% 14.70/2.25 # End clausification derivation
% 14.70/2.25 # Begin listing active clauses obtained from FOF to CNF conversion
% 14.70/2.25 cnf(i_0_187, negated_conjecture, (member(u,universal_class))).
% 14.70/2.25 cnf(i_0_146, plain, (member(omega,universal_class))).
% 14.70/2.25 cnf(i_0_98, plain, (subclass(X1,universal_class))).
% 14.70/2.25 cnf(i_0_144, plain, (inductive(omega))).
% 14.70/2.25 cnf(i_0_163, plain, (function(choice))).
% 14.70/2.25 cnf(i_0_105, plain, (member(unordered_pair(X1,X2),universal_class))).
% 14.70/2.25 cnf(i_0_112, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))).
% 14.70/2.25 cnf(i_0_138, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))).
% 14.70/2.25 cnf(i_0_151, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))).
% 14.70/2.25 cnf(i_0_126, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 14.70/2.25 cnf(i_0_129, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 14.70/2.25 cnf(i_0_169, plain, (intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation)).
% 14.70/2.25 cnf(i_0_188, negated_conjecture, (complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))=null_class)).
% 14.70/2.25 cnf(i_0_168, 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)).
% 14.70/2.25 cnf(i_0_171, plain, (intersection(domain_of(X1),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X1),identity_relation))))=cantor(X1))).
% 14.70/2.25 cnf(i_0_100, plain, (subclass(X1,X1))).
% 14.70/2.25 cnf(i_0_123, plain, (intersection(cross_product(X1,X2),X3)=intersection(X3,cross_product(X1,X2)))).
% 14.70/2.25 cnf(i_0_141, plain, (member(null_class,X1)|~inductive(X1))).
% 14.70/2.25 cnf(i_0_165, plain, (function(X1)|~one_to_one(X1))).
% 14.70/2.25 cnf(i_0_172, plain, (function(X1)|~operation(X1))).
% 14.70/2.25 cnf(i_0_118, plain, (~member(X1,complement(X2))|~member(X1,X2))).
% 14.70/2.25 cnf(i_0_161, plain, (intersection(X1,regular(X1))=null_class|X1=null_class)).
% 14.70/2.25 cnf(i_0_104, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))).
% 14.70/2.25 cnf(i_0_103, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))).
% 14.70/2.25 cnf(i_0_116, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 14.70/2.25 cnf(i_0_145, plain, (subclass(omega,X1)|~inductive(X1))).
% 14.70/2.25 cnf(i_0_160, plain, (X1=null_class|member(regular(X1),X1))).
% 14.70/2.25 cnf(i_0_115, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 14.70/2.25 cnf(i_0_102, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))).
% 14.70/2.25 cnf(i_0_176, plain, (function(X1)|~compatible(X1,X2,X3))).
% 14.70/2.25 cnf(i_0_181, plain, (operation(X1)|~homomorphism(X2,X3,X1))).
% 14.70/2.25 cnf(i_0_119, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))).
% 14.70/2.25 cnf(i_0_180, plain, (operation(X1)|~homomorphism(X2,X1,X3))).
% 14.70/2.25 cnf(i_0_156, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))).
% 14.70/2.25 cnf(i_0_182, plain, (compatible(X1,X2,X3)|~homomorphism(X1,X2,X3))).
% 14.70/2.25 cnf(i_0_96, plain, (member(not_subclass_element(X1,X2),X1)|subclass(X1,X2))).
% 14.70/2.25 cnf(i_0_97, plain, (subclass(X1,X2)|~member(not_subclass_element(X1,X2),X2))).
% 14.70/2.25 cnf(i_0_117, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 14.70/2.25 cnf(i_0_95, plain, (member(X1,X2)|~member(X1,X3)|~subclass(X3,X2))).
% 14.70/2.25 cnf(i_0_148, plain, (member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),universal_class)|~member(X1,universal_class))).
% 14.70/2.25 cnf(i_0_101, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))).
% 14.70/2.25 cnf(i_0_177, plain, (domain_of(domain_of(X1))=domain_of(X2)|~compatible(X2,X1,X3))).
% 14.70/2.25 cnf(i_0_124, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))).
% 14.70/2.25 cnf(i_0_113, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))).
% 14.70/2.25 cnf(i_0_125, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))).
% 14.70/2.25 cnf(i_0_166, plain, (function(domain_of(flip(cross_product(X1,universal_class))))|~one_to_one(X1))).
% 14.70/2.25 cnf(i_0_173, plain, (cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1)))=domain_of(X1)|~operation(X1))).
% 14.70/2.25 cnf(i_0_167, plain, (one_to_one(X1)|~function(domain_of(flip(cross_product(X1,universal_class))))|~function(X1))).
% 14.70/2.25 cnf(i_0_109, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))).
% 14.70/2.25 cnf(i_0_108, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))).
% 14.70/2.25 cnf(i_0_139, 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))).
% 14.70/2.25 cnf(i_0_110, 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))).
% 14.70/2.25 cnf(i_0_154, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~single_valued_class(X1))).
% 14.70/2.25 cnf(i_0_157, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))).
% 14.70/2.25 cnf(i_0_174, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X1)))|~operation(X1))).
% 14.70/2.25 cnf(i_0_155, plain, (single_valued_class(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))).
% 14.70/2.25 cnf(i_0_159, 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))).
% 14.70/2.25 cnf(i_0_150, 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))).
% 14.70/2.25 cnf(i_0_142, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))).
% 14.70/2.25 cnf(i_0_114, 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))).
% 14.70/2.25 cnf(i_0_158, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))).
% 14.70/2.25 cnf(i_0_178, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X2)))|~compatible(X1,X3,X2))).
% 14.70/2.25 cnf(i_0_111, 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)))).
% 14.70/2.25 cnf(i_0_143, 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))).
% 14.70/2.25 cnf(i_0_140, 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)))).
% 14.70/2.25 cnf(i_0_164, 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))).
% 14.70/2.25 cnf(i_0_179, 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))))).
% 14.70/2.25 cnf(i_0_175, 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))))).
% 14.70/2.25 cnf(i_0_152, 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)))).
% 14.70/2.25 cnf(i_0_184, 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))).
% 14.70/2.25 cnf(i_0_127, 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)))).
% 14.70/2.25 cnf(i_0_153, 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)))).
% 14.70/2.25 cnf(i_0_130, 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)))).
% 14.70/2.25 cnf(i_0_128, 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))).
% 14.70/2.25 cnf(i_0_131, 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))).
% 14.70/2.25 cnf(i_0_183, 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)))).
% 14.70/2.25 cnf(i_0_185, 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))).
% 14.70/2.25 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 14.70/2.25 # Begin printing tableau
% 14.70/2.25 # Found 5 steps
% 14.70/2.25 cnf(i_0_187, negated_conjecture, (member(u,universal_class)), inference(start_rule)).
% 14.70/2.25 cnf(i_0_192, plain, (member(u,universal_class)), inference(extension_rule, [i_0_114])).
% 14.70/2.25 cnf(i_0_434, plain, (member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(universal_class,universal_class))),element_relation)), inference(extension_rule, [i_0_118])).
% 14.70/2.25 cnf(i_0_435, plain, (~member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(universal_class,universal_class))),cross_product(universal_class,universal_class))), inference(etableau_closure_rule, [i_0_435, ...])).
% 14.70/2.25 cnf(i_0_495, plain, (~member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(universal_class,universal_class))),complement(element_relation))), inference(etableau_closure_rule, [i_0_495, ...])).
% 14.70/2.25 # End printing tableau
% 14.70/2.25 # SZS output end
% 14.70/2.25 # Branches closed with saturation will be marked with an "s"
% 14.70/2.26 # Child (3360) has found a proof.
% 14.70/2.26
% 14.70/2.26 # Proof search is over...
% 14.70/2.26 # Freeing feature tree
%------------------------------------------------------------------------------