TSTP Solution File: SET523-6 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET523-6 : 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 : n008.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 01:00:35 EDT 2022
% Result : Unsatisfiable 74.48s 9.84s
% Output : CNFRefutation 74.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET523-6 : 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 : n008.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 : Mon Jul 11 06:02:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.40 # No SInE strategy applied
% 0.14/0.40 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.14/0.40 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.14/0.40 #
% 0.14/0.40 # Presaturation interreduction done
% 0.14/0.40 # Number of axioms: 97 Number of unprocessed: 96
% 0.14/0.40 # Tableaux proof search.
% 0.14/0.40 # APR header successfully linked.
% 0.14/0.40 # Hello from C++
% 0.20/0.40 # The folding up rule is enabled...
% 0.20/0.40 # Local unification is enabled...
% 0.20/0.40 # Any saturation attempts will use folding labels...
% 0.20/0.40 # 96 beginning clauses after preprocessing and clausification
% 0.20/0.40 # Creating start rules for all 2 conjectures.
% 0.20/0.40 # There are 2 start rule candidates:
% 0.20/0.40 # Found 23 unit axioms.
% 0.20/0.40 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.40 # 2 start rule tableaux created.
% 0.20/0.40 # 73 extension rule candidate clauses
% 0.20/0.40 # 23 unit axiom clauses
% 0.20/0.40
% 0.20/0.40 # Requested 8, 32 cores available to the main process.
% 0.20/0.40 # There are not enough tableaux to fork, creating more from the initial 2
% 0.20/0.40 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.40 # We now have 14 tableaux to operate on
% 74.48/9.84 # There were 9 total branch saturation attempts.
% 74.48/9.84 # There were 0 of these attempts blocked.
% 74.48/9.84 # There were 0 deferred branch saturation attempts.
% 74.48/9.84 # There were 0 free duplicated saturations.
% 74.48/9.84 # There were 2 total successful branch saturations.
% 74.48/9.84 # There were 0 successful branch saturations in interreduction.
% 74.48/9.84 # There were 0 successful branch saturations on the branch.
% 74.48/9.84 # There were 2 successful branch saturations after the branch.
% 74.48/9.84 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.48/9.84 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.48/9.84 # Begin clausification derivation
% 74.48/9.84
% 74.48/9.84 # End clausification derivation
% 74.48/9.84 # Begin listing active clauses obtained from FOF to CNF conversion
% 74.48/9.84 cnf(i_0_227, negated_conjecture, (member(x,y))).
% 74.48/9.84 cnf(i_0_228, negated_conjecture, (member(complement(x),z))).
% 74.48/9.84 cnf(i_0_164, plain, (inductive(omega))).
% 74.48/9.84 cnf(i_0_183, plain, (function(choice))).
% 74.48/9.84 cnf(i_0_166, plain, (member(omega,universal_class))).
% 74.48/9.84 cnf(i_0_118, plain, (subclass(X1,universal_class))).
% 74.48/9.84 cnf(i_0_125, plain, (member(unordered_pair(X1,X2),universal_class))).
% 74.48/9.84 cnf(i_0_132, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))).
% 74.48/9.84 cnf(i_0_158, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))).
% 74.48/9.84 cnf(i_0_212, plain, (subclass(domain_relation,cross_product(universal_class,universal_class)))).
% 74.48/9.84 cnf(i_0_206, plain, (subclass(compose_class(X1),cross_product(universal_class,universal_class)))).
% 74.48/9.84 cnf(i_0_171, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))).
% 74.48/9.84 cnf(i_0_218, plain, (intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation)).
% 74.48/9.84 cnf(i_0_209, plain, (subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))))).
% 74.48/9.84 cnf(i_0_219, plain, (subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))))).
% 74.48/9.84 cnf(i_0_146, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 74.48/9.84 cnf(i_0_189, plain, (intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation)=identity_relation)).
% 74.48/9.84 cnf(i_0_149, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))).
% 74.48/9.84 cnf(i_0_191, plain, (intersection(domain_of(X1),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X1),identity_relation))))=cantor(X1))).
% 74.48/9.85 cnf(i_0_188, 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)).
% 74.48/9.85 cnf(i_0_217, 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))).
% 74.48/9.85 cnf(i_0_120, plain, (subclass(X1,X1))).
% 74.48/9.85 cnf(i_0_143, plain, (intersection(cross_product(X1,X2),X3)=intersection(X3,cross_product(X1,X2)))).
% 74.48/9.85 cnf(i_0_161, plain, (member(null_class,X1)|~inductive(X1))).
% 74.48/9.85 cnf(i_0_185, plain, (function(X1)|~one_to_one(X1))).
% 74.48/9.85 cnf(i_0_192, plain, (function(X1)|~operation(X1))).
% 74.48/9.85 cnf(i_0_138, plain, (~member(X1,complement(X2))|~member(X1,X2))).
% 74.48/9.85 cnf(i_0_180, plain, (X1=null_class|member(regular(X1),X1))).
% 74.48/9.85 cnf(i_0_139, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))).
% 74.48/9.85 cnf(i_0_165, plain, (subclass(omega,X1)|~inductive(X1))).
% 74.48/9.85 cnf(i_0_181, plain, (intersection(X1,regular(X1))=null_class|X1=null_class)).
% 74.48/9.85 cnf(i_0_196, plain, (function(X1)|~compatible(X1,X2,X3))).
% 74.48/9.85 cnf(i_0_201, plain, (operation(X1)|~homomorphism(X2,X3,X1))).
% 74.48/9.85 cnf(i_0_200, plain, (operation(X1)|~homomorphism(X2,X1,X3))).
% 74.48/9.85 cnf(i_0_136, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 74.48/9.85 cnf(i_0_124, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))).
% 74.48/9.85 cnf(i_0_123, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))).
% 74.48/9.85 cnf(i_0_135, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 74.48/9.85 cnf(i_0_122, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))).
% 74.48/9.85 cnf(i_0_202, plain, (compatible(X1,X2,X3)|~homomorphism(X1,X2,X3))).
% 74.48/9.85 cnf(i_0_116, plain, (member(not_subclass_element(X1,X2),X1)|subclass(X1,X2))).
% 74.48/9.85 cnf(i_0_117, plain, (subclass(X1,X2)|~member(not_subclass_element(X1,X2),X2))).
% 74.48/9.85 cnf(i_0_223, plain, (function(X1)|~maps(X1,X2,X3))).
% 74.48/9.85 cnf(i_0_224, plain, (domain_of(X1)=X2|~maps(X1,X2,X3))).
% 74.48/9.85 cnf(i_0_137, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 74.48/9.85 cnf(i_0_176, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))).
% 74.48/9.85 cnf(i_0_121, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))).
% 74.48/9.85 cnf(i_0_197, plain, (domain_of(domain_of(X1))=domain_of(X2)|~compatible(X2,X1,X3))).
% 74.48/9.85 cnf(i_0_115, plain, (member(X1,X2)|~member(X1,X3)|~subclass(X3,X2))).
% 74.48/9.85 cnf(i_0_193, plain, (cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1)))=domain_of(X1)|~operation(X1))).
% 74.48/9.85 cnf(i_0_186, plain, (function(domain_of(flip(cross_product(X1,universal_class))))|~one_to_one(X1))).
% 74.48/9.85 cnf(i_0_168, plain, (member(domain_of(intersection(element_relation,cross_product(universal_class,X1))),universal_class)|~member(X1,universal_class))).
% 74.48/9.85 cnf(i_0_187, plain, (one_to_one(X1)|~function(domain_of(flip(cross_product(X1,universal_class))))|~function(X1))).
% 74.48/9.85 cnf(i_0_145, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))).
% 74.48/9.85 cnf(i_0_174, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~single_valued_class(X1))).
% 74.48/9.85 cnf(i_0_144, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))).
% 74.48/9.85 cnf(i_0_133, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))).
% 74.48/9.85 cnf(i_0_177, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))).
% 74.48/9.85 cnf(i_0_213, plain, (domain_of(X1)=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_relation))).
% 74.48/9.85 cnf(i_0_175, plain, (single_valued_class(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation))).
% 74.48/9.85 cnf(i_0_225, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),X2)|~maps(X1,X3,X2))).
% 74.48/9.85 cnf(i_0_129, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))).
% 74.48/9.85 cnf(i_0_128, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))).
% 74.48/9.85 cnf(i_0_194, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X1)))|~operation(X1))).
% 74.48/9.85 cnf(i_0_131, 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)))).
% 74.48/9.85 cnf(i_0_207, plain, (compose(X1,X2)=X3|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),compose_class(X1)))).
% 74.48/9.85 cnf(i_0_130, 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))).
% 74.48/9.85 cnf(i_0_214, 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))).
% 74.48/9.85 cnf(i_0_159, 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))).
% 74.48/9.85 cnf(i_0_170, 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))).
% 74.48/9.85 cnf(i_0_179, 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))).
% 74.48/9.85 cnf(i_0_178, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))).
% 74.48/9.85 cnf(i_0_198, plain, (subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),domain_of(domain_of(X2)))|~compatible(X1,X3,X2))).
% 74.48/9.85 cnf(i_0_226, plain, (maps(X1,domain_of(X1),X2)|~function(X1)|~subclass(domain_of(domain_of(flip(cross_product(X1,universal_class)))),X2))).
% 74.48/9.85 cnf(i_0_162, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))).
% 74.48/9.85 cnf(i_0_163, 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))).
% 74.48/9.85 cnf(i_0_199, 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))))).
% 74.48/9.85 cnf(i_0_134, 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))).
% 74.48/9.85 cnf(i_0_195, 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))))).
% 74.48/9.85 cnf(i_0_184, 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))).
% 74.48/9.85 cnf(i_0_208, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose_class(X3))|compose(X3,X1)!=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class)))).
% 74.48/9.85 cnf(i_0_160, 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)))).
% 74.48/9.85 cnf(i_0_210, 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))).
% 74.48/9.85 cnf(i_0_220, 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))).
% 74.48/9.85 cnf(i_0_204, 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))).
% 74.48/9.85 cnf(i_0_172, 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)))).
% 74.48/9.85 cnf(i_0_221, 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))).
% 74.48/9.85 cnf(i_0_211, 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)))).
% 74.48/9.85 cnf(i_0_173, 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)))).
% 74.48/9.85 cnf(i_0_147, 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)))).
% 74.48/9.85 cnf(i_0_150, 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)))).
% 74.48/9.85 cnf(i_0_148, 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))).
% 74.48/9.85 cnf(i_0_151, 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))).
% 74.48/9.85 cnf(i_0_222, 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)))).
% 74.48/9.85 cnf(i_0_203, 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)))).
% 74.48/9.85 cnf(i_0_205, 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))).
% 74.48/9.85 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 74.48/9.85 # Begin printing tableau
% 74.48/9.85 # Found 9 steps
% 74.48/9.85 cnf(i_0_227, negated_conjecture, (member(x,y)), inference(start_rule)).
% 74.48/9.85 cnf(i_0_232, plain, (member(x,y)), inference(extension_rule, [i_0_115])).
% 74.48/9.85 cnf(i_0_466, plain, (~subclass(y,universal_class)), inference(closure_rule, [i_0_118])).
% 74.48/9.85 cnf(i_0_464, plain, (member(x,universal_class)), inference(extension_rule, [i_0_139])).
% 74.48/9.85 cnf(i_0_389304, plain, (member(x,complement(universal_class))), inference(extension_rule, [i_0_137])).
% 74.48/9.85 cnf(i_0_389344, plain, (~member(x,y)), inference(closure_rule, [i_0_227])).
% 74.48/9.85 cnf(i_0_389305, plain, (member(x,universal_class)), inference(extension_rule, [i_0_124])).
% 74.48/9.85 cnf(i_0_389342, plain, (member(x,intersection(y,complement(universal_class)))), inference(etableau_closure_rule, [i_0_389342, ...])).
% 74.48/9.85 cnf(i_0_389363, plain, (member(x,unordered_pair(X5,x))), inference(etableau_closure_rule, [i_0_389363, ...])).
% 74.48/9.85 # End printing tableau
% 74.48/9.85 # SZS output end
% 74.48/9.85 # Branches closed with saturation will be marked with an "s"
% 74.48/9.85 # Child (1707) has found a proof.
% 74.48/9.85
% 74.48/9.85 # Proof search is over...
% 74.48/9.85 # Freeing feature tree
%------------------------------------------------------------------------------