%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 00:56:30 EDT 2022 % Result : Theorem 0.12s 0.38s % Output : CNFRefutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.12/0.33 % Computer : n009.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jul 10 08:55:22 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.38 # No SInE strategy applied % 0.12/0.38 # Auto-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y % 0.12/0.38 # and selection function SelectMaxLComplexAvoidPosPred. % 0.12/0.38 # % 0.12/0.38 # Presaturation interreduction done % 0.12/0.38 # Number of axioms: 83 Number of unprocessed: 82 % 0.12/0.38 # Tableaux proof search. % 0.12/0.38 # APR header successfully linked. % 0.12/0.38 # Hello from C++ % 0.12/0.38 # The folding up rule is enabled... % 0.12/0.38 # Local unification is enabled... % 0.12/0.38 # Any saturation attempts will use folding labels... % 0.12/0.38 # 82 beginning clauses after preprocessing and clausification % 0.12/0.38 # Creating start rules for all 2 conjectures. % 0.12/0.38 # There are 2 start rule candidates: % 0.12/0.38 # Found 14 unit axioms. % 0.12/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.12/0.38 # 2 start rule tableaux created. % 0.12/0.38 # 68 extension rule candidate clauses % 0.12/0.38 # 14 unit axiom clauses % 0.12/0.38 % 0.12/0.38 # Requested 8, 32 cores available to the main process. % 0.12/0.38 # There are not enough tableaux to fork, creating more from the initial 2 % 0.12/0.38 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done. % 0.12/0.38 # There were 0 total branch saturation attempts. % 0.12/0.38 # There were 0 of these attempts blocked. % 0.12/0.38 # There were 0 deferred branch saturation attempts. % 0.12/0.38 # There were 0 free duplicated saturations. % 0.12/0.38 # There were 0 total successful branch saturations. % 0.12/0.38 # There were 0 successful branch saturations in interreduction. % 0.12/0.38 # There were 0 successful branch saturations on the branch. % 0.12/0.38 # There were 0 successful branch saturations after the branch. % 0.12/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.38 # Begin clausification derivation % 0.12/0.38 % 0.12/0.38 # End clausification derivation % 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.38 cnf(i_0_91, negated_conjecture, (member(esk8_0,universal_class))). % 0.12/0.38 cnf(i_0_61, plain, (member(esk2_0,universal_class))). % 0.12/0.38 cnf(i_0_4, plain, (subclass(X1,universal_class))). % 0.12/0.38 cnf(i_0_60, plain, (inductive(esk2_0))). % 0.12/0.38 cnf(i_0_89, plain, (function(esk7_0))). % 0.12/0.38 cnf(i_0_12, plain, (member(unordered_pair(X1,X2),universal_class))). % 0.12/0.38 cnf(i_0_24, plain, (subclass(element_relation,cross_product(universal_class,universal_class)))). % 0.12/0.38 cnf(i_0_48, plain, (subclass(successor_relation,cross_product(universal_class,universal_class)))). % 0.12/0.38 cnf(i_0_70, plain, (subclass(compose(X1,X2),cross_product(universal_class,universal_class)))). % 0.12/0.38 cnf(i_0_39, plain, (subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). % 0.12/0.38 cnf(i_0_43, plain, (subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)))). % 0.12/0.38 cnf(i_0_6, plain, (subclass(X1,X1))). % 0.12/0.38 cnf(i_0_32, plain, (~member(X1,null_class))). % 0.12/0.38 cnf(i_0_90, negated_conjecture, (~member(esk8_0,unordered_pair(esk8_0,esk8_0)))). % 0.12/0.38 cnf(i_0_59, plain, (subclass(esk2_0,X1)|~inductive(X1))). % 0.12/0.38 cnf(i_0_58, plain, (member(null_class,X1)|~inductive(X1))). % 0.12/0.38 cnf(i_0_86, plain, (X1=null_class|member(esk6_1(X1),universal_class))). % 0.12/0.38 cnf(i_0_65, plain, (member(sum_class(X1),universal_class)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_69, plain, (member(power_class(X1),universal_class)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_11, plain, (member(X1,universal_class)|~member(X1,unordered_pair(X2,X3)))). % 0.12/0.38 cnf(i_0_85, plain, (X1=null_class|member(esk6_1(X1),X1))). % 0.12/0.38 cnf(i_0_30, plain, (member(X1,universal_class)|~member(X1,complement(X2)))). % 0.12/0.38 cnf(i_0_35, plain, (member(X1,universal_class)|~member(X1,domain_of(X2)))). % 0.12/0.38 cnf(i_0_68, plain, (member(X1,universal_class)|~member(X1,power_class(X2)))). % 0.12/0.38 cnf(i_0_29, plain, (~member(X1,complement(X2))|~member(X1,X2))). % 0.12/0.38 cnf(i_0_76, plain, (member(esk4_1(X1),universal_class)|~member(X1,identity_relation))). % 0.12/0.38 cnf(i_0_84, plain, (X1=null_class|disjoint(esk6_1(X1),X1))). % 0.12/0.38 cnf(i_0_10, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))). % 0.12/0.38 cnf(i_0_67, plain, (subclass(X1,X2)|~member(X1,power_class(X2)))). % 0.12/0.38 cnf(i_0_44, plain, (member(X1,union(X2,X3))|~member(X1,X3))). % 0.12/0.38 cnf(i_0_45, plain, (member(X1,union(X2,X3))|~member(X1,X2))). % 0.12/0.38 cnf(i_0_26, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). % 0.12/0.38 cnf(i_0_27, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). % 0.12/0.38 cnf(i_0_28, plain, (member(X1,complement(X2))|member(X1,X2)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_79, plain, (subclass(X1,cross_product(universal_class,universal_class))|~function(X1))). % 0.12/0.38 cnf(i_0_5, plain, (X1=X2|~subclass(X2,X1)|~subclass(X1,X2))). % 0.12/0.38 cnf(i_0_2, plain, (member(esk1_2(X1,X2),X1)|subclass(X1,X2))). % 0.12/0.38 cnf(i_0_81, plain, (disjoint(X1,X2)|member(esk5_2(X1,X2),X2))). % 0.12/0.38 cnf(i_0_82, plain, (disjoint(X1,X2)|member(esk5_2(X1,X2),X1))). % 0.12/0.38 cnf(i_0_1, plain, (subclass(X1,X2)|~member(esk1_2(X1,X2),X2))). % 0.12/0.38 cnf(i_0_64, plain, (member(X1,esk3_2(X1,X2))|~member(X1,sum_class(X2)))). % 0.12/0.38 cnf(i_0_63, plain, (member(esk3_2(X1,X2),X2)|~member(X1,sum_class(X2)))). % 0.12/0.38 cnf(i_0_66, plain, (member(X1,power_class(X2))|~member(X1,universal_class)|~subclass(X1,X2))). % 0.12/0.38 cnf(i_0_3, plain, (member(X1,X2)|~member(X1,X3)|~subclass(X3,X2))). % 0.12/0.38 cnf(i_0_25, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))). % 0.12/0.38 cnf(i_0_46, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))). % 0.12/0.38 cnf(i_0_83, plain, (~disjoint(X1,X2)|~member(X3,X2)|~member(X3,X1))). % 0.12/0.38 cnf(i_0_62, plain, (member(X1,sum_class(X2))|~member(X3,X2)|~member(X1,X3))). % 0.12/0.38 cnf(i_0_23, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),element_relation))). % 0.12/0.38 cnf(i_0_51, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),successor_relation))). % 0.12/0.38 cnf(i_0_52, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))). % 0.12/0.38 cnf(i_0_34, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))!=null_class|~member(X2,domain_of(X1)))). % 0.12/0.38 cnf(i_0_22, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation))). % 0.12/0.38 cnf(i_0_19, plain, (first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X1|~member(X2,universal_class)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_18, plain, (second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))))=X2|~member(X2,universal_class)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_21, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),element_relation)|~member(X2,universal_class)|~member(X1,X2))). % 0.12/0.38 cnf(i_0_74, plain, (member(X1,identity_relation)|X1!=unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2)))|~member(X2,universal_class))). % 0.12/0.38 cnf(i_0_73, plain, (member(X1,universal_class)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),compose(X3,X4)))). % 0.12/0.38 cnf(i_0_78, plain, (subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~function(X1))). % 0.12/0.38 cnf(i_0_33, plain, (intersection(X1,cross_product(unordered_pair(X2,X2),universal_class))=null_class|member(X2,domain_of(X1))|~member(X2,universal_class))). % 0.12/0.38 cnf(i_0_16, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X1,X1))),cross_product(X4,X2)))). % 0.12/0.38 cnf(i_0_17, plain, (member(X1,X2)|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)))). % 0.12/0.38 cnf(i_0_50, plain, (union(X1,unordered_pair(X1,X1))=X2|~member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation))). % 0.12/0.38 cnf(i_0_15, 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))). % 0.12/0.38 cnf(i_0_49, plain, (member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),successor_relation)|union(X1,unordered_pair(X1,X1))!=X2|~member(X2,universal_class)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_80, 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))). % 0.12/0.38 cnf(i_0_75, plain, (unordered_pair(unordered_pair(esk4_1(X1),esk4_1(X1)),unordered_pair(esk4_1(X1),unordered_pair(esk4_1(X1),esk4_1(X1))))=X1|~member(X1,identity_relation))). % 0.12/0.38 cnf(i_0_57, plain, (subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X1,universal_class)),universal_class)))),X1)|~inductive(X1))). % 0.12/0.38 cnf(i_0_20, 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)))). % 0.12/0.38 cnf(i_0_77, plain, (function(X1)|~subclass(compose(X1,domain_of(flip(cross_product(X1,universal_class)))),identity_relation)|~subclass(X1,cross_product(universal_class,universal_class)))). % 0.12/0.38 cnf(i_0_56, 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))). % 0.12/0.38 cnf(i_0_88, plain, (X1=null_class|member(sum_class(domain_of(domain_of(flip(cross_product(intersection(esk7_0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_72, 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)))). % 0.12/0.38 cnf(i_0_71, 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))). % 0.12/0.38 cnf(i_0_37, 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)))). % 0.12/0.38 cnf(i_0_41, 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)))). % 0.12/0.38 cnf(i_0_38, 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)))). % 0.12/0.38 cnf(i_0_42, 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)))). % 0.12/0.38 cnf(i_0_36, 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))). % 0.12/0.38 cnf(i_0_40, 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))). % 0.12/0.38 cnf(i_0_8, plain, (member(X1,unordered_pair(X2,X1))|~member(X1,universal_class))). % 0.12/0.38 cnf(i_0_9, plain, (member(X1,unordered_pair(X1,X2))|~member(X1,universal_class))). % 0.12/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.38 # Begin printing tableau % 0.12/0.38 # Found 3 steps % 0.12/0.38 cnf(i_0_90, negated_conjecture, (~member(esk8_0,unordered_pair(esk8_0,esk8_0))), inference(start_rule)). % 0.12/0.38 cnf(i_0_96, plain, (~member(esk8_0,unordered_pair(esk8_0,esk8_0))), inference(extension_rule, [i_0_8])). % 0.12/0.38 cnf(i_0_255, plain, (~member(esk8_0,universal_class)), inference(closure_rule, [i_0_91])). % 0.12/0.38 # End printing tableau % 0.12/0.38 # SZS output end % 0.12/0.38 # Branches closed with saturation will be marked with an "s" % 0.12/0.38 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.12/0.38 # We now have 11 tableaux to operate on % 0.12/0.38 # Found closed tableau during pool population. % 0.12/0.38 # Proof search is over... % 0.12/0.38 # Freeing feature tree %------------------------------------------------------------------------------