0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.14/0.34 % Computer : n027.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1200 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Jul 13 16:53:25 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.38 # No SInE strategy applied 0.14/0.38 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y 0.14/0.38 # and selection function SelectMaxLComplexAvoidPosPred. 0.14/0.38 # 0.14/0.38 # Presaturation interreduction done 0.14/0.38 # Number of axioms: 84 Number of unprocessed: 83 0.14/0.38 # Tableaux proof search. 0.14/0.38 # APR header successfully linked. 0.14/0.38 # Hello from C++ 0.14/0.39 # The folding up rule is enabled... 0.14/0.39 # Local unification is enabled... 0.14/0.39 # Any saturation attempts will use folding labels... 0.14/0.39 # 83 beginning clauses after preprocessing and clausification 0.14/0.39 # Creating start rules for all 3 conjectures. 0.14/0.39 # There are 3 start rule candidates: 0.14/0.39 # Found 15 unit axioms. 0.14/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. 0.14/0.39 # 3 start rule tableaux created. 0.14/0.39 # 68 extension rule candidate clauses 0.14/0.39 # 15 unit axiom clauses 0.14/0.39 0.14/0.39 # Requested 8, 32 cores available to the main process. 0.14/0.39 # There are not enough tableaux to fork, creating more from the initial 3 0.14/0.39 # Returning from population with 34 new_tableaux and 0 remaining starting tableaux. 0.14/0.39 # We now have 34 tableaux to operate on 0.21/0.41 # There were 1 total branch saturation attempts. 0.21/0.41 # There were 0 of these attempts blocked. 0.21/0.41 # There were 0 deferred branch saturation attempts. 0.21/0.41 # There were 0 free duplicated saturations. 0.21/0.41 # There were 1 total successful branch saturations. 0.21/0.41 # There were 0 successful branch saturations in interreduction. 0.21/0.41 # There were 0 successful branch saturations on the branch. 0.21/0.41 # There were 1 successful branch saturations after the branch. 0.21/0.41 # There were 1 total branch saturation attempts. 0.21/0.41 # There were 0 of these attempts blocked. 0.21/0.41 # There were 0 deferred branch saturation attempts. 0.21/0.41 # There were 0 free duplicated saturations. 0.21/0.41 # There were 1 total successful branch saturations. 0.21/0.41 # There were 0 successful branch saturations in interreduction. 0.21/0.41 # There were 0 successful branch saturations on the branch. 0.21/0.41 # There were 1 successful branch saturations after the branch. 0.21/0.41 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # Begin clausification derivation 0.21/0.41 0.21/0.41 # End clausification derivation 0.21/0.41 # Begin listing active clauses obtained from FOF to CNF conversion 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class))). 0.21/0.41 cnf(i_0_91, negated_conjecture, (unordered_pair(esk9_0,esk9_0)=unordered_pair(esk8_0,esk8_0))). 0.21/0.41 cnf(i_0_49, plain, (member(esk4_0,universal_class))). 0.21/0.41 cnf(i_0_41, plain, (function(esk3_0))). 0.21/0.41 cnf(i_0_51, plain, (inductive(esk4_0))). 0.21/0.41 cnf(i_0_5, plain, (member(unordered_pair(X1,X2),universal_class))). 0.21/0.41 cnf(i_0_4, plain, (subclass(X1,universal_class))). 0.21/0.41 cnf(i_0_72, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_52, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_48, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_33, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_14, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_58, plain, (subclass(X1,X1))). 0.21/0.41 cnf(i_0_90, negated_conjecture, (esk9_0!=esk8_0)). 0.21/0.41 cnf(i_0_45, plain, (~member(X1,null_class))). 0.21/0.41 cnf(i_0_31, plain, (member(null_class,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_78, plain, (null_class=X1|member(esk6_1(X1),universal_class))). 0.21/0.41 cnf(i_0_13, plain, (member(power_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_86, plain, (member(sum_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_85, plain, (member(X1,universal_class)|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_50, plain, (subclass(esk4_0,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_77, plain, (null_class=X1|member(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_79, plain, (member(X1,universal_class)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_19, plain, (member(X1,universal_class)|~member(X1,domain_of(X2)))). 0.21/0.41 cnf(i_0_43, plain, (member(X1,universal_class)|~member(X1,complement(X2)))). 0.21/0.41 cnf(i_0_42, plain, (~member(X1,complement(X2))|~member(X1,X2))). 0.21/0.41 cnf(i_0_57, plain, (member(esk5_1(X1),universal_class)|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_76, plain, (null_class=X1|disjoint(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_84, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_80, plain, (subclass(X1,X2)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_65, plain, (member(X1,union(X2,X3))|~member(X1,X3))). 0.21/0.41 cnf(i_0_66, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 0.21/0.41 cnf(i_0_1, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 0.21/0.41 cnf(i_0_2, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 0.21/0.41 cnf(i_0_36, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))). 0.21/0.41 cnf(i_0_60, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))). 0.21/0.41 cnf(i_0_88, plain, (subclass(X1,X2)|member(esk7_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_21, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_22, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_87, plain, (subclass(X1,X2)|~member(esk7_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_44, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_39, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_38, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_89, plain, (member(X1,X2)|~subclass(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_81, plain, (member(X1,power_class(X2))|~subclass(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_3, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). 0.21/0.41 cnf(i_0_67, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))). 0.21/0.41 cnf(i_0_23, plain, (~disjoint(X1,X2)|~member(X3,X2)|~member(X3,X1))). 0.21/0.41 cnf(i_0_37, plain, (member(X1,sum_class(X2))|~member(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_70, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_73, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2# SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # Begin clausification derivation 0.21/0.41 0.21/0.41 # End clausification derivation 0.21/0.41 # Begin listing active clauses obtained from FOF to CNF conversion 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class))). 0.21/0.41 cnf(i_0_91, negated_conjecture, (unordered_pair(esk9_0,esk9_0)=unordered_pair(esk8_0,esk8_0))). 0.21/0.41 cnf(i_0_49, plain, (member(esk4_0,universal_class))). 0.21/0.41 cnf(i_0_41, plain, (function(esk3_0))). 0.21/0.41 cnf(i_0_51, plain, (inductive(esk4_0))). 0.21/0.41 cnf(i_0_5, plain, (member(unordered_pair(X1,X2),universal_class))). 0.21/0.41 cnf(i_0_4, plain, (subclass(X1,universal_class))). 0.21/0.41 cnf(i_0_72, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_52, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_48, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_33, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_14, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_58, plain, (subclass(X1,X1))). 0.21/0.41 cnf(i_0_90, negated_conjecture, (esk9_0!=esk8_0)). 0.21/0.41 cnf(i_0_45, plain, (~member(X1,null_class))). 0.21/0.41 cnf(i_0_31, plain, (member(null_class,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_78, plain, (null_class=X1|member(esk6_1(X1),universal_class))). 0.21/0.41 cnf(i_0_13, plain, (member(power_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_86, plain, (member(sum_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_85, plain, (member(X1,universal_class)|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_50, plain, (subclass(esk4_0,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_77, plain, (null_class=X1|member(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_79, plain, (member(X1,universal_class)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_19, plain, (member(X1,universal_class)|~member(X1,domain_of(X2)))). 0.21/0.41 cnf(i_0_43, plain, (member(X1,universal_class)|~member(X1,complement(X2)))). 0.21/0.41 cnf(i_0_42, plain, (~member(X1,complement(X2))|~member(X1,X2))). 0.21/0.41 cnf(i_0_57, plain, (member(esk5_1(X1),universal_class)|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_76, plain, (null_class=X1|disjoint(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_84, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_80, plain, (subclass(X1,X2)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_65, plain, (member(X1,union(X2,X3))|~member(X1,X3))). 0.21/0.41 cnf(i_0_66, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 0.21/0.41 cnf(i_0_1, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 0.21/0.41 cnf(i_0_2, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 0.21/0.41 cnf(i_0_36, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))). 0.21/0.41 cnf(i_0_60, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))). 0.21/0.41 cnf(i_0_88, plain, (subclass(X1,X2)|member(esk7_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_21, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_22, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_87, plain, (subclass(X1,X2)|~member(esk7_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_44, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_39, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_38, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_89, plain, (member(X1,X2)|~subclass(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_81, plain, (member(X1,power_class(X2))|~subclass(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_3, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). 0.21/0.41 cnf(i_0_67, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))). 0.21/0.41 cnf(i_0_23, plain, (~disjoint(X1,X2)|~member(X3,X2)|~member(X3,X1))). 0.21/0.41 cnf(i_0_37, plain, (member(X1,sum_class(X2))|~member(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_70, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_73, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),element_relation))). 0.21/0.41 cnf(i_0_68, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))). 0.21/0.41 cnf(i_0_18, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))). 0.21/0.41 cnf(i_0_74, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))). 0.21/0.41 cnf(i_0_47, plain, (first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X1|~member(X2,universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_75, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation)|~member(X2,universal_class)|~member(X1,X2))). 0.21/0.41 cnf(i_0_55, plain, (member(X1,identity_relation)|X1!=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2)))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_46, plain, (second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X2|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_35, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))). 0.21/0.41 cnf(i_0_20, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_63, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(X3,X4)))). 0.21/0.41 cnf(i_0_25, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))). 0.21/0.41 cnf(i_0_24, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))). 0.21/0.41 cnf(i_0_69, plain, (X1=union(X2,unordered_pair(X2,X2))|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_26, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4))|~member(X1,X3)|~member(X2,X4))). 0.21/0.41 cnf(i_0_71, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation)|X2!=union(X1,unordered_pair(X1,X1))|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_17, plain, (member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),universal_class)|~function(X1)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_32, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_56, plain, (unordered_pair(unordered_pair(esk5_1(X1),esk5_1(X1)),unordered_pair(esk5_1(X1),unordered_pair(esk5_1(X1),esk5_1(X1))))=X1|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_34, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_53, plain, (unordered_pair(unordered_pair(first(X1),first(X1)),unordered_pair(first(X1),unordered_pair(second(X1),second(X1))))=X1|~member(X1,cross_product(X2,X3)))). 0.21/0.41 cnf(i_0_30, plain, (inductive(X1)|~subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~member(null_class,X1))). 0.21/0.41 cnf(i_0_40, plain, (X1=null_class|member(sum_class(domain_of(domain_of(flip(cross_product(intersection(esk3_0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_62, plain, (member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X4,X4),universal_class)),universal_class)))),universal_class)),universal_class)))))|~member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X1,X1))),compose(X2,X3)))). 0.21/0.41 cnf(i_0_64, 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(X1,universal_class))). 0.21/0.41 cnf(i_0_10, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(X2,X2))),rotate(X4)))). 0.21/0.41 cnf(i_0_6, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),flip(X4)))). 0.21/0.41 cnf(i_0_7, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_11, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_8, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),flip(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),X4))). 0.21/0.41 cnf(i_0_12, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X4))). 0.21/0.41 cnf(i_0_82, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_83, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))). 0.21/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.21/0.41 # Begin printing tableau 0.21/0.41 # Found 4 steps 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class)), inference(start_rule)). 0.21/0.41 cnf(i_0_99, plain, (member(esk8_0,universal_class)), inference(extension_rule, [i_0_82])). 0.21/0.41 cnf(i_0_576, plain, (member(esk8_0,unordered_pair(X7,esk8_0))), inference(extension_rule, [i_0_42])). 0.21/0.41 cnf(i_0_600, plain, (~member(esk8_0,complement(unordered_pair(X7,esk8_0)))), inference(etableau_closure_rule, [i_0_600, ...])). 0.21/0.41 # End printing tableau 0.21/0.41 # SZS output end 0.21/0.41 # Branches closed with saturation will be marked with an "s" 0.21/0.41 # There were 1 total branch saturation attempts. 0.21/0.41 # There were 0 of these attempts blocked. 0.21/0.41 # There were 0 deferred branch saturation attempts. 0.21/0.41 # There were 0 free duplicated saturations. 0.21/0.41 # There were 1 total successful branch saturations. 0.21/0.41 # There were 0 successful branch saturations in interreduction. 0.21/0.41 # There were 0 successful branch saturations on the branch. 0.21/0.41 # There were 1 successful branch saturations after the branch. 0.21/0.41 # There were 1 total branch saturation attempts. 0.21/0.41 # There were 0 of these attempts blocked. 0.21/0.41 # There were 0 deferred branch saturation attempts. 0.21/0.41 # There were 0 free duplicated saturations. 0.21/0.41 # There were 1 total successful branch saturations. 0.21/0.41 # There were 0 successful branch saturations in interreduction. 0.21/0.41 # There were 0 successful branch saturations on the branch. 0.21/0.41 # There were 1 successful branch saturations after the branch. 0.21/0.41 ),unordered_pair(X2,unordered_pair(X1,X1))),element_relation))). 0.21/0.41 cnf(i_0_68, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))). 0.21/0.41 cnf(i_0_18, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))). 0.21/0.41 cnf(i_0_74, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))). 0.21/0.41 cnf(i_0_47, plain, (first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X1|~member(X2,universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_75, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation)|~member(X2,universal_class)|~member(X1,X2))). 0.21/0.41 cnf(i_0_55, plain, (member(X1,identity_relation)|X1!=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2)))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_46, plain, (second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X2|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_35, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))). 0.21/0.41 cnf(i_0_20, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_63, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(X3,X4)))). 0.21/0.41 cnf(i_0_25, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))). 0.21/0.41 cnf(i_0_24, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))). 0.21/0.41 cnf(i_0_69, plain, (X1=union(X2,unordered_pair(X2,X2))|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_26, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4))|~member(X1,X3)|~member(X2,X4))). 0.21/0.41 cnf(i_0_71, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation)|X2!=union(X1,unordered_pair(X1,X1))|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_17, plain, (member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),universal_class)|~function(X1)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_32, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_56, plain, (unordered_pair(unordered_pair(esk5_1(X1),esk5_1(X1)),unordered_pair(esk5_1(X1),unordered_pair(esk5_1(X1),esk5_1(X1))))=X1|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_34, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_53, plain, (unordered_pair(unordered_pair(first(X1),first(X1)),unordered_pair(first(X1),unordered_pair(second(X1),second(X1))))=X1|~member(X1,cross_product(X2,X3)))). 0.21/0.41 cnf(i_0_30, plain, (inductive(X1)|~subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~member(null_class,X1))). 0.21/0.41 cnf(i_0_40, plain, (X1=null_class|member(sum_class(domain_of(domain_of(flip(cross_product(intersection(esk3_0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_62, 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),unorder# SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # Begin clausification derivation 0.21/0.41 0.21/0.41 # End clausification derivation 0.21/0.41 # Begin listing active clauses obtained from FOF to CNF conversion 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class))). 0.21/0.41 cnf(i_0_91, negated_conjecture, (unordered_pair(esk9_0,esk9_0)=unordered_pair(esk8_0,esk8_0))). 0.21/0.41 cnf(i_0_49, plain, (member(esk4_0,universal_class))). 0.21/0.41 cnf(i_0_41, plain, (function(esk3_0))). 0.21/0.41 cnf(i_0_51, plain, (inductive(esk4_0))). 0.21/0.41 cnf(i_0_5, plain, (member(unordered_pair(X1,X2),universal_class))). 0.21/0.41 cnf(i_0_4, plain, (subclass(X1,universal_class))). 0.21/0.41 cnf(i_0_72, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_52, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_48, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_33, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_14, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_58, plain, (subclass(X1,X1))). 0.21/0.41 cnf(i_0_90, negated_conjecture, (esk9_0!=esk8_0)). 0.21/0.41 cnf(i_0_45, plain, (~member(X1,null_class))). 0.21/0.41 cnf(i_0_31, plain, (member(null_class,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_78, plain, (null_class=X1|member(esk6_1(X1),universal_class))). 0.21/0.41 cnf(i_0_13, plain, (member(power_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_86, plain, (member(sum_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_85, plain, (member(X1,universal_class)|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_50, plain, (subclass(esk4_0,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_77, plain, (null_class=X1|member(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_79, plain, (member(X1,universal_class)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_19, plain, (member(X1,universal_class)|~member(X1,domain_of(X2)))). 0.21/0.41 cnf(i_0_43, plain, (member(X1,universal_class)|~member(X1,complement(X2)))). 0.21/0.41 cnf(i_0_42, plain, (~member(X1,complement(X2))|~member(X1,X2))). 0.21/0.41 cnf(i_0_57, plain, (member(esk5_1(X1),universal_class)|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_76, plain, (null_class=X1|disjoint(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_84, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_80, plain, (subclass(X1,X2)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_65, plain, (member(X1,union(X2,X3))|~member(X1,X3))). 0.21/0.41 cnf(i_0_66, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 0.21/0.41 cnf(i_0_1, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 0.21/0.41 cnf(i_0_2, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 0.21/0.41 cnf(i_0_36, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))). 0.21/0.41 cnf(i_0_60, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))). 0.21/0.41 cnf(i_0_88, plain, (subclass(X1,X2)|member(esk7_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_21, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_22, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_87, plain, (subclass(X1,X2)|~member(esk7_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_44, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_39, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_38, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_89, plain, (member(X1,X2)|~subclass(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_81, plain, (member(X1,power_class(X2))|~subclass(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_3, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). 0.21/0.41 cnf(i_0_67, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))). 0.21/0.41 cnf(i_0_23, plain, (~disjoint(X1,X2)|~member(X3,X2)|~member(X3,X1))). 0.21/0.41 cnf(i_0_37, plain, (member(X1,sum_class(X2))|~member(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_70, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_73, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2# There were 1 total branch saturation attempts. 0.21/0.41 # There were 0 of these attempts blocked. 0.21/0.41 # There were 0 deferred branch saturation attempts. 0.21/0.41 # There were 0 free duplicated saturations. 0.21/0.41 # There were 1 total successful branch saturations. 0.21/0.41 # There were 0 successful branch saturations in interreduction. 0.21/0.41 # There were 0 successful branch saturations on the branch. 0.21/0.41 # There were 1 successful branch saturations after the branch. 0.21/0.41 ed_pair(X4,unordered_pair(X1,X1))),compose(X2,X3)))). 0.21/0.41 cnf(i_0_64, 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(X1,universal_class))). 0.21/0.41 cnf(i_0_10, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(X2,X2))),rotate(X4)))). 0.21/0.41 cnf(i_0_6, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),flip(X4)))). 0.21/0.41 cnf(i_0_7, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_11, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_8, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),flip(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),X4))). 0.21/0.41 cnf(i_0_12, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X4))). 0.21/0.41 cnf(i_0_82, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_83, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))). 0.21/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.21/0.41 # Begin printing tableau 0.21/0.41 # Found 4 steps 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class)), inference(start_rule)). 0.21/0.41 cnf(i_0_99, plain, (member(esk8_0,universal_class)), inference(extension_rule, [i_0_83])). 0.21/0.41 cnf(i_0_578, plain, (member(esk8_0,unordered_pair(esk8_0,X7))), inference(extension_rule, [i_0_42])). 0.21/0.41 cnf(i_0_600, plain, (~member(esk8_0,complement(unordered_pair(esk8_0,X7)))), inference(etableau_closure_rule, [i_0_600, ...])). 0.21/0.41 # End printing tableau 0.21/0.41 # SZS output end 0.21/0.41 # Branches closed with saturation will be marked with an "s" 0.21/0.41 ),unordered_pair(X2,unordered_pair(X1,X1))),element_relation))). 0.21/0.41 cnf(i_0_68, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))). 0.21/0.41 cnf(i_0_18, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))). 0.21/0.41 cnf(i_0_74, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))). 0.21/0.41 cnf(i_0_47, plain, (first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X1|~member(X2,universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_75, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation)|~member(X2,universal_class)|~member(X1,X2))). 0.21/0.41 cnf(i_0_55, plain, (member(X1,identity_relation)|X1!=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2)))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_46, plain, (second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X2|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_35, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))). 0.21/0.41 cnf(i_0_20, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_63, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(X3,X4)))). 0.21/0.41 cnf(i_0_25, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))). 0.21/0.41 cnf(i_0_24, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))). 0.21/0.41 cnf(i_0_69, plain, (X1=union(X2,unordered_pair(X2,X2))|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_26, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4))|~member(X1,X3)|~member(X2,X4))). 0.21/0.41 cnf(i_0_71, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation)|X2!=union(X1,unordered_pair(X1,X1))|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_17, plain, (member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),universal_class)|~function(X1)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_32, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_56, plain, (unordered_pair(unordered_pair(esk5_1(X1),esk5_1(X1)),unordered_pair(esk5_1(X1),unordered_pair(esk5_1(X1),esk5_1(X1))))=X1|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_34, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_53, plain, (unordered_pair(unordered_pair(first(X1),first(X1)),unordered_pair(first(X1),unordered_pair(second(X1),second(X1))))=X1|~member(X1,cross_product(X2,X3)))). 0.21/0.41 cnf(i_0_30, plain, (inductive(X1)|~subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~member(null_class,X1))). 0.21/0.41 cnf(i_0_40, plain, (X1=null_class|member(sum_class(domain_of(domain_of(flip(cross_product(intersection(esk3_0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_62, 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),unorder# SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.41 # Begin clausification derivation 0.21/0.41 0.21/0.41 # End clausification derivation 0.21/0.41 # Begin listing active clauses obtained from FOF to CNF conversion 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class))). 0.21/0.41 cnf(i_0_91, negated_conjecture, (unordered_pair(esk9_0,esk9_0)=unordered_pair(esk8_0,esk8_0))). 0.21/0.41 cnf(i_0_49, plain, (member(esk4_0,universal_class))). 0.21/0.41 cnf(i_0_41, plain, (function(esk3_0))). 0.21/0.41 cnf(i_0_51, plain, (inductive(esk4_0))). 0.21/0.41 cnf(i_0_5, plain, (member(unordered_pair(X1,X2),universal_class))). 0.21/0.41 cnf(i_0_4, plain, (subclass(X1,universal_class))). 0.21/0.41 cnf(i_0_72, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_52, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_48, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_33, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_14, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). 0.21/0.41 cnf(i_0_58, plain, (subclass(X1,X1))). 0.21/0.41 cnf(i_0_90, negated_conjecture, (esk9_0!=esk8_0)). 0.21/0.41 cnf(i_0_45, plain, (~member(X1,null_class))). 0.21/0.41 cnf(i_0_31, plain, (member(null_class,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_78, plain, (null_class=X1|member(esk6_1(X1),universal_class))). 0.21/0.41 cnf(i_0_13, plain, (member(power_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_86, plain, (member(sum_class(X1),universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_85, plain, (member(X1,universal_class)|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_50, plain, (subclass(esk4_0,X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_77, plain, (null_class=X1|member(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_79, plain, (member(X1,universal_class)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_19, plain, (member(X1,universal_class)|~member(X1,domain_of(X2)))). 0.21/0.41 cnf(i_0_43, plain, (member(X1,universal_class)|~member(X1,complement(X2)))). 0.21/0.41 cnf(i_0_42, plain, (~member(X1,complement(X2))|~member(X1,X2))). 0.21/0.41 cnf(i_0_57, plain, (member(esk5_1(X1),universal_class)|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_76, plain, (null_class=X1|disjoint(esk6_1(X1),X1))). 0.21/0.41 cnf(i_0_84, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))). 0.21/0.41 cnf(i_0_80, plain, (subclass(X1,X2)|~member(X1,power_class(X2)))). 0.21/0.41 cnf(i_0_65, plain, (member(X1,union(X2,X3))|~member(X1,X3))). 0.21/0.41 cnf(i_0_66, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 0.21/0.41 cnf(i_0_1, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 0.21/0.41 cnf(i_0_2, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 0.21/0.41 cnf(i_0_36, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))). 0.21/0.41 cnf(i_0_60, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))). 0.21/0.41 cnf(i_0_88, plain, (subclass(X1,X2)|member(esk7_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_21, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_22, plain, (disjoint(X1,X2)|member(esk1_2(X1,X2),X1))). 0.21/0.41 cnf(i_0_87, plain, (subclass(X1,X2)|~member(esk7_2(X1,X2),X2))). 0.21/0.41 cnf(i_0_44, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_39, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_38, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum_class(X2)))). 0.21/0.41 cnf(i_0_89, plain, (member(X1,X2)|~subclass(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_81, plain, (member(X1,power_class(X2))|~subclass(X1,X2)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_3, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). 0.21/0.41 cnf(i_0_67, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))). 0.21/0.41 cnf(i_0_23, plain, (~disjoint(X1,X2)|~member(X3,X2)|~member(X3,X1))). 0.21/0.41 cnf(i_0_37, plain, (member(X1,sum_class(X2))|~member(X3,X2)|~member(X1,X3))). 0.21/0.41 cnf(i_0_70, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_73, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2ed_pair(X4,unordered_pair(X1,X1))),compose(X2,X3)))). 0.21/0.41 cnf(i_0_64, 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(X1,universal_class))). 0.21/0.41 cnf(i_0_10, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(X2,X2))),rotate(X4)))). 0.21/0.41 cnf(i_0_6, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),flip(X4)))). 0.21/0.41 cnf(i_0_7, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_11, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_8, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),flip(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),X4))). 0.21/0.41 cnf(i_0_12, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X4))). 0.21/0.41 cnf(i_0_82, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_83, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))). 0.21/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.21/0.41 # Begin printing tableau 0.21/0.41 # Found 5 steps 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class)), inference(start_rule)). 0.21/0.41 cnf(i_0_99, plain, (member(esk8_0,universal_class)), inference(extension_rule, [i_0_17])). 0.21/0.41 cnf(i_0_540, plain, (~function(esk3_0)), inference(closure_rule, [i_0_41])). 0.21/0.41 cnf(i_0_539, plain, (member(domain_of(domain_of(flip(cross_product(intersection(esk3_0,cross_product(esk8_0,universal_class)),universal_class)))),universal_class)), inference(extension_rule, [i_0_13])). 0.21/0.41 cnf(i_0_584, plain, (member(power_class(domain_of(domain_of(flip(cross_product(intersection(esk3_0,cross_product(esk8_0,universal_class)),universal_class))))),universal_class)), inference(etableau_closure_rule, [i_0_584, ...])). 0.21/0.41 # End printing tableau 0.21/0.41 # SZS output end 0.21/0.41 # Branches closed with saturation will be marked with an "s" 0.21/0.41 ),unordered_pair(X2,unordered_pair(X1,X1))),element_relation))). 0.21/0.41 cnf(i_0_68, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))). 0.21/0.41 cnf(i_0_18, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))). 0.21/0.41 cnf(i_0_74, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))). 0.21/0.41 cnf(i_0_47, plain, (first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X1|~member(X2,universal_class)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_75, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation)|~member(X2,universal_class)|~member(X1,X2))). 0.21/0.41 cnf(i_0_55, plain, (member(X1,identity_relation)|X1!=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2)))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_46, plain, (second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X2|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_35, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))). 0.21/0.41 cnf(i_0_20, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_63, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(X3,X4)))). 0.21/0.41 cnf(i_0_25, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))). 0.21/0.41 cnf(i_0_24, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))). 0.21/0.41 cnf(i_0_69, plain, (X1=union(X2,unordered_pair(X2,X2))|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). 0.21/0.41 cnf(i_0_26, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4))|~member(X1,X3)|~member(X2,X4))). 0.21/0.41 cnf(i_0_71, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation)|X2!=union(X1,unordered_pair(X1,X1))|~member(X1,universal_class)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_17, plain, (member(domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X2,universal_class)),universal_class)))),universal_class)|~function(X1)|~member(X2,universal_class))). 0.21/0.41 cnf(i_0_32, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))). 0.21/0.41 cnf(i_0_56, plain, (unordered_pair(unordered_pair(esk5_1(X1),esk5_1(X1)),unordered_pair(esk5_1(X1),unordered_pair(esk5_1(X1),esk5_1(X1))))=X1|~member(X1,identity_relation))). 0.21/0.41 cnf(i_0_34, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))). 0.21/0.41 cnf(i_0_53, plain, (unordered_pair(unordered_pair(first(X1),first(X1)),unordered_pair(first(X1),unordered_pair(second(X1),second(X1))))=X1|~member(X1,cross_product(X2,X3)))). 0.21/0.41 cnf(i_0_30, plain, (inductive(X1)|~subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~member(null_class,X1))). 0.21/0.41 cnf(i_0_40, plain, (X1=null_class|member(sum_class(domain_of(domain_of(flip(cross_product(intersection(esk3_0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_62, plain, (member(X1,domain_of(domain_of(flip(cross_product(intersection(X2,cross_product(domain_of(domain_of(flip(cross_product(intersection(X3,cross_product(unordered_pair(X4,X4),universal_class)),universal_class)))),universal_class)),universal_class)))))|~member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X1,X1))),compose(X2,X3)))). 0.21/0.41 cnf(i_0_64, 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(X1,universal_class))). 0.21/0.41 cnf(i_0_10, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),unordered_pair(X2,X2))),rotate(X4)))). 0.21/0.41 cnf(i_0_6, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),X4)|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),flip(X4)))). 0.21/0.41 cnf(i_0_7, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_11, 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))),cross_product(cross_product(universal_class,universal_class),universal_class))|~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)))). 0.21/0.41 cnf(i_0_8, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),flip(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X3,X3))),X4))). 0.21/0.41 cnf(i_0_12, plain, (member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),rotate(X4))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))),cross_product(cross_product(universal_class,universal_class),universal_class))|~member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X1,X1))),X4))). 0.21/0.41 cnf(i_0_82, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))). 0.21/0.41 cnf(i_0_83, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))). 0.21/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.21/0.41 # Begin printing tableau 0.21/0.41 # Found 5 steps 0.21/0.41 cnf(i_0_92, negated_conjecture, (member(esk8_0,universal_class)), inference(start_rule)). 0.21/0.41 cnf(i_0_99, plain, (member(esk8_0,universal_class)), inference(extension_rule, [i_0_26])). 0.21/0.41 cnf(i_0_533, plain, (~member(esk4_0,universal_class)), inference(closure_rule, [i_0_49])). 0.21/0.41 cnf(i_0_532, plain, (member(unordered_pair(unordered_pair(esk4_0,esk4_0),unordered_pair(esk4_0,unordered_pair(esk8_0,esk8_0))),cross_product(universal_class,universal_class))), inference(extension_rule, [i_0_42])). 0.21/0.41 cnf(i_0_600, plain, (~member(unordered_pair(unordered_pair(esk4_0,esk4_0),unordered_pair(esk4_0,unordered_pair(esk8_0,esk8_0))),complement(cross_product(universal_class,universal_class)))), inference(etableau_closure_rule, [i_0_600, ...])). 0.21/0.41 # End printing tableau 0.21/0.41 # SZS output end 0.21/0.41 # Branches closed with saturation will be marked with an "s" 0.21/0.41 # Child (14719) has found a proof. 0.21/0.41 0.21/0.41 # Proof search is over... 0.21/0.41 # Freeing feature tree 0.21/0.41 EOF