%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : NUM401+1 : TPTP v8.1.0. Released v3.2.0. % 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 : n015.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 : Mon Jul 18 09:40:43 EDT 2022 % Result : Theorem 0.19s 0.41s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM401+1 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jul 7 09:11:19 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.37 # No SInE strategy applied % 0.19/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y % 0.19/0.37 # and selection function SelectMaxLComplexAvoidPosPred. % 0.19/0.37 # % 0.19/0.37 # Number of axioms: 109 Number of unprocessed: 109 % 0.19/0.37 # Tableaux proof search. % 0.19/0.37 # APR header successfully linked. % 0.19/0.37 # Hello from C++ % 0.19/0.38 # The folding up rule is enabled... % 0.19/0.38 # Local unification is enabled... % 0.19/0.38 # Any saturation attempts will use folding labels... % 0.19/0.38 # 109 beginning clauses after preprocessing and clausification % 0.19/0.38 # Creating start rules for all 4 conjectures. % 0.19/0.38 # There are 4 start rule candidates: % 0.19/0.38 # Found 60 unit axioms. % 0.19/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.19/0.38 # 4 start rule tableaux created. % 0.19/0.38 # 49 extension rule candidate clauses % 0.19/0.38 # 60 unit axiom clauses % 0.19/0.38 % 0.19/0.38 # Requested 8, 32 cores available to the main process. % 0.19/0.38 # There are not enough tableaux to fork, creating more from the initial 4 % 0.19/0.38 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux. % 0.19/0.38 # We now have 14 tableaux to operate on % 0.19/0.41 # There were 2 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 2 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 2 successful branch saturations after the branch. % 0.19/0.41 # There were 2 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 2 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 2 successful branch saturations after the branch. % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_35, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_37, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_41, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_54, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_62, plain, (empty(esk7_0))). % 0.19/0.41 cnf(i_0_63, plain, (empty(esk8_0))). % 0.19/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.19/0.41 cnf(i_0_70, plain, (empty(esk10_0))). % 0.19/0.41 cnf(i_0_43, plain, (function(empty_set))). % 0.19/0.41 cnf(i_0_56, plain, (function(esk5_0))). % 0.19/0.41 cnf(i_0_64, plain, (function(esk9_0))). % 0.19/0.41 cnf(i_0_72, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_78, plain, (function(esk13_0))). % 0.19/0.41 cnf(i_0_86, plain, (function(esk16_0))). % 0.19/0.41 cnf(i_0_89, plain, (function(esk17_0))). % 0.19/0.41 cnf(i_0_38, plain, (ordinal(empty_set))). % 0.19/0.41 cnf(i_0_58, plain, (ordinal(esk6_0))). % 0.19/0.41 cnf(i_0_67, plain, (ordinal(esk10_0))). % 0.19/0.41 cnf(i_0_80, plain, (ordinal(esk14_0))). % 0.19/0.41 cnf(i_0_105, negated_conjecture, (ordinal(esk18_0))). % 0.19/0.41 cnf(i_0_104, negated_conjecture, (ordinal(esk19_0))). % 0.19/0.41 cnf(i_0_40, plain, (epsilon_transitive(empty_set))). % 0.19/0.41 cnf(i_0_60, plain, (epsilon_transitive(esk6_0))). % 0.19/0.41 cnf(i_0_69, plain, (epsilon_transitive(esk10_0))). % 0.19/0.41 cnf(i_0_82, plain, (epsilon_transitive(esk14_0))). % 0.19/0.41 cnf(i_0_39, plain, (epsilon_connected(empty_set))). % 0.19/0.41 cnf(i_0_59, plain, (epsilon_connected(esk6_0))). % 0.19/0.41 cnf(i_0_68, plain, (epsilon_connected(esk10_0))). % 0.19/0.41 cnf(i_0_81, plain, (epsilon_connected(esk14_0))). % 0.19/0.41 cnf(i_0_34, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_45, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_53, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_57, plain, (relation(esk5_0))). % 0.19/0.41 cnf(i_0_61, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_66, plain, (relation(esk9_0))). % 0.19/0.41 cnf(i_0_73, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_74, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.19/0.41 cnf(i_0_85, plain, (relation(esk15_0))). % 0.19/0.41 cnf(i_0_88, plain, (relation(esk16_0))). % 0.19/0.41 cnf(i_0_91, plain, (relation(esk17_0))). % 0.19/0.41 cnf(i_0_42, plain, (one_to_one(empty_set))). % 0.19/0.41 cnf(i_0_71, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_77, plain, (one_to_one(esk13_0))). % 0.19/0.41 cnf(i_0_33, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_44, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_84, plain, (relation_empty_yielding(esk15_0))). % 0.19/0.41 cnf(i_0_87, plain, (relation_empty_yielding(esk16_0))). % 0.19/0.41 cnf(i_0_90, plain, (relation_non_empty(esk17_0))). % 0.19/0.41 cnf(i_0_75, plain, (~empty(esk11_0))). % 0.19/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.19/0.41 cnf(i_0_83, plain, (~empty(esk14_0))). % 0.19/0.41 cnf(i_0_110, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_5, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_98, plain, (set_union2(X1,empty_set)=X1)). % 0.19/0.41 cnf(i_0_95, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_55, plain, (set_union2(X1,X1)=X1)). % 0.19/0.41 cnf(i_0_112, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_16, plain, (subset(X1,X2)|X1!=X2)). % 0.19/0.41 cnf(i_0_17, plain, (subset(X1,X2)|X1!=X2)). % 0.19/0.41 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_transitive(X1)|~epsilon_connected(X1))). % 0.19/0.41 cnf(i_0_32, plain, (element(esk4_1(X1),X1))). % 0.19/0.41 cnf(i_0_24, plain, (epsilon_transitive(X1)|in(esk2_1(X1),X1))). % 0.19/0.41 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))). % 0.19/0.41 cnf(i_0_21, plain, (in(X1,X3)|X1!=X2|X3!=singleton(X2))). % 0.19/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.19/0.41 cnf(i_0_94, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_111, plain, (~empty(X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_22, plain, (X1=X3|X2!=singleton(X3)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_97, plain, (set_union2(X1,singleton(X1))!=X1)). % 0.19/0.41 cnf(i_0_23, plain, (epsilon_transitive(X1)|~subset(esk2_1(X1),X1))). % 0.19/0.41 cnf(i_0_99, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_101, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 0.19/0.41 cnf(i_0_106, plain, (element(X1,powerset# SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_35, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_37, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_41, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_54, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_62, plain, (empty(esk7_0))). % 0.19/0.41 cnf(i_0_63, plain, (empty(esk8_0))). % 0.19/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.19/0.41 cnf(i_0_70, plain, (empty(esk10_0))). % 0.19/0.41 cnf(i_0_43, plain, (function(empty_set))). % 0.19/0.41 cnf(i_0_56, plain, (function(esk5_0))). % 0.19/0.41 cnf(i_0_64, plain, (function(esk9_0))). % 0.19/0.41 cnf(i_0_72, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_78, plain, (function(esk13_0))). % 0.19/0.41 cnf(i_0_86, plain, (function(esk16_0))). % 0.19/0.41 cnf(i_0_89, plain, (function(esk17_0))). % 0.19/0.41 cnf(i_0_38, plain, (ordinal(empty_set))). % 0.19/0.41 cnf(i_0_58, plain, (ordinal(esk6_0))). % 0.19/0.41 cnf(i_0_67, plain, (ordinal(esk10_0))). % 0.19/0.41 cnf(i_0_80, plain, (ordinal(esk14_0))). % 0.19/0.41 cnf(i_0_105, negated_conjecture, (ordinal(esk18_0))). % 0.19/0.41 cnf(i_0_104, negated_conjecture, (ordinal(esk19_0))). % 0.19/0.41 cnf(i_0_40, plain, (epsilon_transitive(empty_set))). % 0.19/0.41 cnf(i_0_60, plain, (epsilon_transitive(esk6_0))). % 0.19/0.41 cnf(i_0_69, plain, (epsilon_transitive(esk10_0))). % 0.19/0.41 cnf(i_0_82, plain, (epsilon_transitive(esk14_0))). % 0.19/0.41 cnf(i_0_39, plain, (epsilon_connected(empty_set))). % 0.19/0.41 cnf(i_0_59, plain, (epsilon_connected(esk6_0))). % 0.19/0.41 cnf(i_0_68, plain, (epsilon_connected(esk10_0))). % 0.19/0.41 cnf(i_0_81, plain, (epsilon_connected(esk14_0))). % 0.19/0.41 cnf(i_0_34, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_45, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_53, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_57, plain, (relation(esk5_0))). % 0.19/0.41 cnf(i_0_61, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_66, plain, (relation(esk9_0))). % 0.19/0.41 cnf(i_0_73, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_74, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.19/0.41 cnf(i_0_85, plain, (relation(esk15_0))). % 0.19/0.41 cnf(i_0_88, plain, (relation(esk16_0))). % 0.19/0.41 cnf(i_0_91, plain, (relation(esk17_0))). % 0.19/0.41 cnf(i_0_42, plain, (one_to_one(empty_set))). % 0.19/0.41 cnf(i_0_71, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_77, plain, (one_to_one(esk13_0))). % 0.19/0.41 cnf(i_0_33, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_44, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_84, plain, (relation_empty_yielding(esk15_0))). % 0.19/0.41 cnf(i_0_87, plain, (relation_empty_yielding(esk16_0))). % 0.19/0.41 cnf(i_0_90, plain, (relation_non_empty(esk17_0))). % 0.19/0.41 cnf(i_0_75, plain, (~empty(esk11_0))). % 0.19/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.19/0.41 cnf(i_0_83, plain, (~empty(esk14_0))). % 0.19/0.41 cnf(i_0_110, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_5, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_98, plain, (set_union2(X1,empty_set)=X1)). % 0.19/0.41 cnf(i_0_95, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_55, plain, (set_union2(X1,X1)=X1)). % 0.19/0.41 cnf(i_0_112, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_16, plain, (subset(X1,X2)|X1!=X2)). % 0.19/0.41 cnf(i_0_17, plain, (subset(X1,X2)|X1!=X2)). % 0.19/0.41 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_transitive(X1)|~epsilon_connected(X1))). % 0.19/0.41 cnf(i_0_32, plain, (element(esk4_1(X1),X1))). % 0.19/0.41 cnf(i_0_24, plain, (epsilon_transitive(X1)|in(esk2_1(X1),X1))). % 0.19/0.41 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))). % 0.19/0.41 cnf(i_0_21, plain, (in(X1,X3)|X1!=X2|X3!=singleton(X2))). % 0.19/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.19/0.41 cnf(i_0_94, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_111, plain, (~empty(X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_22, plain, (X1=X3|X2!=singleton(X3)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_97, plain, (set_union2(X1,singleton(X1))!=X1)). % 0.19/0.41 cnf(i_0_23, plain, (epsilon_transitive(X1)|~subset(esk2_1(X1),X1))). % 0.19/0.41 cnf(i_0_99, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_101, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 0.19/0.41 cnf(i_0_106, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_14, plain, (ordinal_subset(X2,X1)|ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_25, plain, (subset(X2,X1)|~epsilon_transitive(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_46, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_100, plain, (X1=X2|in(X2,X1)|in(X1,X2)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_107, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_15, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_48, plain, (ordinal(set_union2(X1,singleton(X1)))|~ordinal(X1))). % 0.19/0.41 cnf(i_0_50, plain, (epsilon_transitive(set_union2(X1,singleton(X1)))|~ordinal(X1))). % 0.19/0.41 cnf(i_0_49, plain, (epsilon_connected(set_union2(X1,singleton(X1)))|~ordinal(X1))). % 0.19/0.41 cnf(i_0_92, plain, (ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1)|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_93, plain, (subset(X1,X2)|~ordinal(X2)|~ordinal(X1)|~ordinal_subset(X1,X2))). % 0.19/0.41 cnf(i_0_52, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.19/0.41 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.19/0.41 cnf(i_0_96, plain, (in(X1,set_union2(X1,singleton(X1))))). % 0.19/0.41 cnf(i_0_102, negated_conjecture, (ordinal_subset(esk18_0,esk19_0)|in(esk18_0,set_union2(esk19_0,singleton(esk19_0))))). % 0.19/0.41 cnf(i_0_19, plain, (X2=singleton(X1)|esk1_2(X1,X2)=X1|in(esk1_2(X1,X2),X2))). % 0.19/0.41 cnf(i_0_29, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_30, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_109, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 0.19/0.41 cnf(i_0_36, plain, (~empty(set_union2(X1,singleton(X1))))). % 0.19/0.41 cnf(i_0_108, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 0.19/0.41 cnf(i_0_51, plain, (~ordinal(X1)|~empty(set_union2(X1,singleton(X1))))). % 0.19/0.41 cnf(i_0_31, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_103, negated_conjecture, (~ordinal_subset(esk18_0,esk19_0)|~in(esk18_0,set_union2(esk19_0,singleton(esk19_0))))). % 0.19/0.41 cnf(i_0_20, plain, (X2=singleton(X1)|esk1_2(X1,X2)!=X1|~in(esk1_2(X1,X2),X2))). % 0.19/0.41 cnf(i_0_26, plain, (X3=set_union2(X1,X2)|in(esk3_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|in(esk3_3(X1,X2,X3),X1))). % 0.19/0.41 cnf(i_0_27, plain, (X3=set_union2(X1,X2)|~in(esk3_3(X1,X2,X3),X3)|~in(esk3_3(X1,X2,X3),X2))). % 0.19/0.41 cnf(i_0_28, plain, (X3=set_union2(X1,X2)|~in(esk3_3(X1,X2,X3),X3)|~in(esk3_3(X1,X2,X3),X1))). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 8 steps % 0.19/0.41 cnf(i_0_103, negated_conjecture, (~ordinal_subset(esk18_0,esk19_0)|~in(esk18_0,set_union2(esk19_0,singleton(esk19_0)))), inference(start_rule)). % 0.19/0.41 cnf(i_0_114, plain, (~in(esk18_0,set_union2(esk19_0,singleton(esk19_0)))), inference(extension_rule, [i_0_31])). % 0.19/0.41 cnf(i_0_359, plain, (in(esk18_0,set_union2(esk19_0,singleton(esk19_0)))), inference(closure_rule, [i_0_114])). % 0.19/0.41 cnf(i_0_360, plain, (set_union2(set_union2(set_union2(esk19_0,singleton(esk19_0)),set_union2(esk19_0,singleton(esk19_0))),empty_set)!=set_union2(set_union2(esk19_0,singleton(esk19_0)),set_union2(esk19_0,singleton(esk19_0)))), inference(closure_rule, [i_0_98])). % 0.19/0.41 cnf(i_0_361, plain, (~in(esk18_0,set_union2(set_union2(set_union2(esk19_0,singleton(esk19_0)),set_union2(esk19_0,singleton(esk19_0))),empty_set))), inference(extension_rule, [i_0_21])). % 0.19/0.41 cnf(i_0_412, plain, (esk18_0!=set_union2(esk18_0,empty_set)), inference(closure_rule, [i_0_98])). % 0.19/0.41 cnf(i_0_113, plain, (~ordinal_subset(esk18_0,esk19_0)), inference(etableau_closure_rule, [i_0_113, ...])). % 0.19/0.41 cnf(i_0_413, plain, (set_union2(set_union2(set_union2(esk19_0,singleton(esk19_0)),set_union2(esk19_0,singleton(esk19_0))),empty_set)!=singleton(set_union2(esk18_0,empty_set))), inference(etableau_closure_rule, [i_0_413, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 # There were 2 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 2 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 2 successful branch saturations after the branch. % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_35, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_37, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_41, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_54, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_62, plain, (empty(esk7_0))). % 0.19/0.41 cnf(i_0_63, plain, (empty(esk8_0))). % 0.19/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.19/0.41 cnf(i_0_70, plain, (empty(esk10_0))). % 0.19/0.41 cnf(i_0_43, plain, (function(empty_set))). % 0.19/0.41 cnf(i_0_56, plain, (function(esk5_0))). % 0.19/0.41 cnf(i_0_64, plain, (function(esk9_0))). % 0.19/0.41 cnf(i_0_72, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_78, plain, (function(esk13_0))). % 0.19/0.41 cnf(i_0_86, plain, (function(esk16_0))). % 0.19/0.41 cnf(i_0_89, plain, (function(esk17_0))). % 0.19/0.41 cnf(i_0_38, plain, (ordinal(empty_set))). % 0.19/0.41 cnf(i_0_58, plain, (ordinal(esk6_0))). % 0.19/0.41 cnf(i_0_67, plain, (ordinal(esk10_0))). % 0.19/0.41 cnf(i_0_80, plain, (ordinal(esk14_0))). % 0.19/0.41 cnf(i_0_105, negated_conjecture, (ordinal(esk18_0))). % 0.19/0.41 cnf(i_0_104, negated_conjecture, (ordinal(esk19_0))). % 0.19/0.41 cnf(i_0_40, plain, (epsilon_transitive(empty_set))). % 0.19/0.41 cnf(i_0_60, plain, (epsilon_transitive(esk6_0))). % 0.19/0.41 cnf(i_0_69, plain, (epsilon_transitive(esk10_0))). % 0.19/0.41 cnf(i_0_82, plain, (epsilon_transitive(esk14_0))). % 0.19/0.41 cnf(i_0_39, plain, (epsilon_connected(empty_set))). % 0.19/0.41 cnf(i_0_59, plain, (epsilon_connected(esk6_0))). % 0.19/0.41 cnf(i_0_68, plain, (epsilon_connected(esk10_0))). % 0.19/0.41 cnf(i_0_81, plain, (epsilon_connected(esk14_0))). % 0.19/0.41 cnf(i_0_34, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_45, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_53, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_57, plain, (relation(esk5_0))). % 0.19/0.41 cnf(i_0_61, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_66, plain, (relation(esk9_0))). % 0.19/0.41 cnf(i_0_73, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_74, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.19/0.41 cnf(i_0_85, plain, (relation(esk15_0))). % 0.19/0.41 cnf(i_0_88, plain, (relation(esk16_0))). % 0.19/0.41 cnf(i_0_91, plain, (relation(esk17_0))). % 0.19/0.41 cnf(i_0_42, plain, (one_to_one(empty_set))). % 0.19/0.41 cnf(i_0_71, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_77, plain, (one_to_one(esk13_0))). % 0.19/0.41 cnf(i_0_33, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_44, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_84, plain, (relation_empty_yielding(esk15_0))). % 0.19/0.41 cnf(i_0_87, plain, (relation_empty_yielding(esk16_0))). % 0.19/0.41 cnf(i_0_90, plain, (relation_non_empty(esk17_0))). % 0.19/0.41 cnf(i_0_75, plain, (~empty(esk11_0))). % 0.19/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.19/0.41 cnf(i_0_83, plain, (~empty(esk14_0))). % 0.19/0.41 cnf(i_0_110, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_5, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_98, plain, (set_union2(X1,empty_set)=X1)). % 0.19/0.41 cnf(i_0_95, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_55, plain, (set_union2(X1,X1)=X1)). % 0.19/0.41 cnf(i_0_112, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_16, plain, (subset(X1,X2)|X1!=X2)). % 0.19/0.41 cnf(i_0_17, plain, (subset(X1,X2)|X1!=X2)). % 0.19/0.41 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_transitive(X1)|~epsilon_connected(X1))). % 0.19/0.41 cnf(i_0_32, plain, (element(esk4_1(X1),X1))). % 0.19/0.41 cnf(i_0_24, plain, (epsilon_transitive(X1)|in(esk2_1(X1),X1))). % 0.19/0.41 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))). % 0.19/0.41 cnf(i_0_21, plain, (in(X1,X3)|X1!=X2|X3!=singleton(X2))). % 0.19/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.19/0.41 cnf(i_0_94, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_111, plain, (~empty(X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_22, plain, (X1=X3|X2!=singleton(X3)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_97, plain, (set_union2(X1,singleton(X1))!=X1)). % 0.19/0.41 cnf(i_0_23, plain, (epsilon_transitive(X1)|~subset(esk2_1(X1),X1))). % 0.19/0.41 cnf(i_0_99, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_101, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 0.19/0.41 cnf(i_0_106, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_14, plain, (ordinal_subset(X2,X1)|ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_25, plain, (subset(X2,X1)|~epsilon_transitive(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_46, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_100, plain, (X1=X2|in(X2,X1)|in(X1,X2)|~ordinal(X2)|~ordinal(X1))). % 0.19/0.41 cnf(i_0_107, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_15, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_48, plain, (ordinal(set_union2(X1,singleton(X1)))|~ordinal(X1))). % 0.19/0.41 cnf(i_0_50, plain, (epsilon_transitive(set_union2(X1,singleton(X1)))|~ordinal(X1))). % 0.19/0.41 cnf(i_0_49, plain, (epsilon_connected(set_union2(X1,singleton(X1)))|~ordinal(X1))). % 0.19/0.41 cnf(i_0_92, plain, (ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1)|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_93, plain, (subset(X1,X2)|~ordinal(X2)|~ordinal(X1)|~ordinal_subset(X1,X2))). % 0.19/0.41 cnf(i_0_52, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.19/0.41 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.19/0.41 cnf(i_0_96, plain, (in(X1,set_union2(X1,singleton(X1))))). % 0.19/0.41 cnf(i_0_102, negated_conjecture, (ordinal_subset(esk18_0,esk19_0)|in(esk18_0,set_union2(esk19_0,singleton(esk19_0))))). % 0.19/0.41 cnf(i_0_19, plain, (X2=singleton(X1)|esk1_2(X1,X2)=X1|in(esk1_2(X1,X2),X2))). % 0.19/0.41 cnf(i_0_29, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_30, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_109, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 0.19/0.41 cnf(i_0_36, plain, (~empty(set_union2(X1,singleton(X1))))). % 0.19/0.41 cnf(i_0_108, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 0.19/0.41 cnf(i_0_51, plain, (~ordinal(X1)|~empty(set_union2(X1,singleton(X1))))). % 0.19/0.41 cnf(i_0_31, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_103, negated_conjecture, (~ordinal_subset(esk18_0,esk19_0)|~in(esk18_0,set_union2(esk19_0,singleton(esk19_0))))). % 0.19/0.41 cnf(i_0_20, plain, (X2=singleton(X1)|esk1_2(X1,X2)!=X1|~in(esk1_2(X1,X2),X2))). % 0.19/0.41 cnf(i_0_26, plain, (X3=set_union2(X1,X2)|in(esk3_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|in(esk3_3(X1,X2,X3),X1))). % 0.19/0.41 cnf(i_0_27, plain, (X3=set_union2(X1,X2)|~in(esk3_3(X1,X2,X3),X3)|~in(esk3_3(X1,X2,X3),X2))). % 0.19/0.41 cnf(i_0_28, plain, (X3=set_union2(X1,X2)|~in(esk3_3(X1,X2,X3),X3)|~in(esk3_3(X1,X2,X3),X1))). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 7 steps % 0.19/0.41 cnf(i_0_103, negated_conjecture, (~ordinal_subset(esk18_0,esk19_0)|~in(esk18_0,set_union2(esk19_0,singleton(esk19_0)))), inference(start_rule)). % 0.19/0.41 cnf(i_0_114, plain, (~in(esk18_0,set_union2(esk19_0,singleton(esk19_0)))), inference(extension_rule, [i_0_29])). % 0.19/0.41 cnf(i_0_345, plain, (set_union2(set_union2(esk19_0,singleton(esk19_0)),empty_set)!=set_union2(esk19_0,singleton(esk19_0))), inference(closure_rule, [i_0_98])). % 0.19/0.41 cnf(i_0_346, plain, (~in(esk18_0,empty_set)), inference(extension_rule, [i_0_21])). % 0.19/0.41 cnf(i_0_412, plain, (esk18_0!=set_union2(esk18_0,empty_set)), inference(closure_rule, [i_0_98])). % 0.19/0.41 cnf(i_0_113, plain, (~ordinal_subset(esk18_0,esk19_0)), inference(etableau_closure_rule, [i_0_113, ...])). % 0.19/0.41 cnf(i_0_413, plain, (singleton(set_union2(esk18_0,empty_set))!=empty_set), inference(etableau_closure_rule, [i_0_413, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 # Child (7682) has found a proof. % 0.19/0.41 % 0.19/0.41 # Proof search is over... % 0.19/0.41 # Freeing feature tree %------------------------------------------------------------------------------