%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU097+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 : n007.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 09:23:48 EDT 2022 % Result : Theorem 0.22s 0.41s % Output : CNFRefutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.15/0.36 % Computer : n007.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Sat Jun 18 22:58:13 EDT 2022 % 0.15/0.36 % CPUTime : % 0.15/0.40 # No SInE strategy applied % 0.15/0.40 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.15/0.40 # and selection function SelectComplexExceptUniqMaxHorn. % 0.15/0.40 # % 0.15/0.40 # Presaturation interreduction done % 0.15/0.40 # Number of axioms: 151 Number of unprocessed: 137 % 0.15/0.40 # Tableaux proof search. % 0.15/0.40 # APR header successfully linked. % 0.15/0.40 # Hello from C++ % 0.15/0.40 # The folding up rule is enabled... % 0.15/0.40 # Local unification is enabled... % 0.15/0.40 # Any saturation attempts will use folding labels... % 0.15/0.40 # 137 beginning clauses after preprocessing and clausification % 0.15/0.40 # Creating start rules for all 3 conjectures. % 0.15/0.40 # There are 3 start rule candidates: % 0.15/0.40 # Found 100 unit axioms. % 0.15/0.40 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.15/0.40 # 3 start rule tableaux created. % 0.15/0.40 # 37 extension rule candidate clauses % 0.15/0.40 # 100 unit axiom clauses % 0.15/0.40 % 0.15/0.40 # Requested 8, 32 cores available to the main process. % 0.15/0.40 # There are not enough tableaux to fork, creating more from the initial 3 % 0.15/0.40 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.15/0.40 # We now have 11 tableaux to operate on % 0.22/0.41 # There were 1 total branch saturation attempts. % 0.22/0.41 # There were 0 of these attempts blocked. % 0.22/0.41 # There were 0 deferred branch saturation attempts. % 0.22/0.41 # There were 0 free duplicated saturations. % 0.22/0.41 # There were 1 total successful branch saturations. % 0.22/0.41 # There were 0 successful branch saturations in interreduction. % 0.22/0.41 # There were 0 successful branch saturations on the branch. % 0.22/0.41 # There were 1 successful branch saturations after the branch. % 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # Begin clausification derivation % 0.22/0.41 % 0.22/0.41 # End clausification derivation % 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0))). % 0.22/0.41 cnf(i_0_144, negated_conjecture, (finite(esk28_0))). % 0.22/0.41 cnf(i_0_59, plain, (finite(esk3_0))). % 0.22/0.41 cnf(i_0_36, plain, (ordinal(empty_set))). % 0.22/0.41 cnf(i_0_55, plain, (ordinal(esk2_0))). % 0.22/0.41 cnf(i_0_66, plain, (ordinal(esk6_0))). % 0.22/0.41 cnf(i_0_70, plain, (ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_78, plain, (ordinal(esk11_0))). % 0.22/0.41 cnf(i_0_96, plain, (ordinal(esk14_0))). % 0.22/0.41 cnf(i_0_113, plain, (ordinal(esk19_0))). % 0.22/0.41 cnf(i_0_124, plain, (ordinal(esk22_0))). % 0.22/0.41 cnf(i_0_38, plain, (epsilon_transitive(empty_set))). % 0.22/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk2_0))). % 0.22/0.41 cnf(i_0_68, plain, (epsilon_transitive(esk6_0))). % 0.22/0.41 cnf(i_0_72, plain, (epsilon_transitive(esk7_0))). % 0.22/0.41 cnf(i_0_80, plain, (epsilon_transitive(esk11_0))). % 0.22/0.41 cnf(i_0_98, plain, (epsilon_transitive(esk14_0))). % 0.22/0.41 cnf(i_0_115, plain, (epsilon_transitive(esk19_0))). % 0.22/0.41 cnf(i_0_126, plain, (epsilon_transitive(esk22_0))). % 0.22/0.41 cnf(i_0_37, plain, (epsilon_connected(empty_set))). % 0.22/0.41 cnf(i_0_56, plain, (epsilon_connected(esk2_0))). % 0.22/0.41 cnf(i_0_67, plain, (epsilon_connected(esk6_0))). % 0.22/0.41 cnf(i_0_71, plain, (epsilon_connected(esk7_0))). % 0.22/0.41 cnf(i_0_79, plain, (epsilon_connected(esk11_0))). % 0.22/0.41 cnf(i_0_97, plain, (epsilon_connected(esk14_0))). % 0.22/0.41 cnf(i_0_114, plain, (epsilon_connected(esk19_0))). % 0.22/0.41 cnf(i_0_125, plain, (epsilon_connected(esk22_0))). % 0.22/0.41 cnf(i_0_33, plain, (empty(empty_set))). % 0.22/0.41 cnf(i_0_74, plain, (empty(esk8_0))). % 0.22/0.41 cnf(i_0_77, plain, (empty(esk10_0))). % 0.22/0.41 cnf(i_0_94, plain, (empty(esk13_0))). % 0.22/0.41 cnf(i_0_99, plain, (empty(esk14_0))). % 0.22/0.41 cnf(i_0_116, plain, (empty(esk19_0))). % 0.22/0.41 cnf(i_0_41, plain, (function(empty_set))). % 0.22/0.41 cnf(i_0_62, plain, (function(esk4_0))). % 0.22/0.41 cnf(i_0_64, plain, (function(esk5_0))). % 0.22/0.41 cnf(i_0_93, plain, (function(esk13_0))). % 0.22/0.41 cnf(i_0_101, plain, (function(esk14_0))). % 0.22/0.41 cnf(i_0_105, plain, (function(esk15_0))). % 0.22/0.41 cnf(i_0_122, plain, (function(esk21_0))). % 0.22/0.41 cnf(i_0_130, plain, (function(esk24_0))). % 0.22/0.41 cnf(i_0_134, plain, (function(esk25_0))). % 0.22/0.41 cnf(i_0_136, plain, (function(esk26_0))). % 0.22/0.41 cnf(i_0_32, plain, (relation(empty_set))). % 0.22/0.41 cnf(i_0_63, plain, (relation(esk4_0))). % 0.22/0.41 cnf(i_0_65, plain, (relation(esk5_0))). % 0.22/0.41 cnf(i_0_73, plain, (relation(esk8_0))). % 0.22/0.41 cnf(i_0_95, plain, (relation(esk13_0))). % 0.22/0.41 cnf(i_0_102, plain, (relation(esk14_0))). % 0.22/0.41 cnf(i_0_106, plain, (relation(esk15_0))). % 0.22/0.41 cnf(i_0_107, plain, (relation(esk16_0))). % 0.22/0.41 cnf(i_0_123, plain, (relation(esk21_0))). % 0.22/0.41 cnf(i_0_129, plain, (relation(esk23_0))). % 0.22/0.41 cnf(i_0_132, plain, (relation(esk24_0))). % 0.22/0.41 cnf(i_0_135, plain, (relation(esk25_0))). % 0.22/0.41 cnf(i_0_138, plain, (relation(esk26_0))). % 0.22/0.41 cnf(i_0_54, plain, (natural(esk2_0))). % 0.22/0.41 cnf(i_0_112, plain, (natural(esk19_0))). % 0.22/0.41 cnf(i_0_40, plain, (one_to_one(empty_set))). % 0.22/0.41 cnf(i_0_100, plain, (one_to_one(esk14_0))). % 0.22/0.41 cnf(i_0_121, plain, (one_to_one(esk21_0))). % 0.22/0.41 cnf(i_0_31, plain, (relation_empty_yielding(empty_set))). % 0.22/0.41 cnf(i_0_128, plain, (relation_empty_yielding(esk23_0))). % 0.22/0.41 cnf(i_0_131, plain, (relation_empty_yielding(esk24_0))). % 0.22/0.41 cnf(i_0_61, plain, (function_yielding(esk4_0))). % 0.22/0.41 cnf(i_0_69, plain, (being_limit_ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_104, plain, (transfinite_sequence(esk15_0))). % 0.22/0.41 cnf(i_0_133, plain, (transfinite_sequence(esk25_0))). % 0.22/0.41 cnf(i_0_103, plain, (ordinal_yielding(esk15_0))). % 0.22/0.41 cnf(i_0_137, plain, (relation_non_empty(esk26_0))). % 0.22/0.41 cnf(i_0_83, plain, (finite(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_150, plain, (set_difference(empty_set,X1)=empty_set)). % 0.22/0.41 cnf(i_0_85, plain, (ordinal(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_141, plain, (set_union2(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_147, plain, (set_difference(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.22/0.41 cnf(i_0_87, plain, (epsilon_transitive(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_86, plain, (epsilon_connected(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_91, plain, (empty(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_139, plain, (subset(X1,X1))). % 0.22/0.41 cnf(i_0_109, plain, (empty(esk17_1(X1)))). % 0.22/0.41 cnf(i_0_89, plain, (function(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_90, plain, (relation(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_84, plain, (natural(esk1# There were 1 total branch saturation attempts. % 0.22/0.41 # There were 0 of these attempts blocked. % 0.22/0.41 # There were 0 deferred branch saturation attempts. % 0.22/0.41 # There were 0 free duplicated saturations. % 0.22/0.41 # There were 1 total successful branch saturations. % 0.22/0.41 # There were 0 successful branch saturations in interreduction. % 0.22/0.41 # There were 0 successful branch saturations on the branch. % 0.22/0.41 # There were 1 successful branch saturations after the branch. % 0.22/0.41 # There were 1 total branch saturation attempts. % 0.22/0.41 # There were 0 of these attempts blocked. % 0.22/0.41 # There were 0 deferred branch saturation attempts. % 0.22/0.41 # There were 0 free duplicated saturations. % 0.22/0.41 # There were 1 total successful branch saturations. % 0.22/0.41 # There were 0 successful branch saturations in interreduction. % 0.22/0.41 # There were 0 successful branch saturations on the branch. % 0.22/0.41 # There were 1 successful branch saturations after the branch. % 0.22/0.41 2_1(X1)))). % 0.22/0.41 cnf(i_0_88, plain, (one_to_one(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_82, plain, (element(esk11_0,positive_rationals))). % 0.22/0.41 cnf(i_0_117, plain, (element(esk19_0,positive_rationals))). % 0.22/0.41 cnf(i_0_29, plain, (element(esk1_1(X1),X1))). % 0.22/0.41 cnf(i_0_92, plain, (element(esk12_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_110, plain, (element(esk17_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_26, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.22/0.41 cnf(i_0_143, negated_conjecture, (~finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0))))). % 0.22/0.41 cnf(i_0_50, plain, (~empty(positive_rationals))). % 0.22/0.41 cnf(i_0_58, plain, (~empty(esk2_0))). % 0.22/0.41 cnf(i_0_60, plain, (~empty(esk3_0))). % 0.22/0.41 cnf(i_0_81, plain, (~empty(esk11_0))). % 0.22/0.41 cnf(i_0_108, plain, (~empty(esk16_0))). % 0.22/0.41 cnf(i_0_111, plain, (~empty(esk18_0))). % 0.22/0.41 cnf(i_0_127, plain, (~empty(esk22_0))). % 0.22/0.41 cnf(i_0_34, plain, (~empty(powerset(X1)))). % 0.22/0.41 cnf(i_0_155, plain, (~empty(X1)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_19, plain, (ordinal(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_21, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_20, plain, (epsilon_connected(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_5, plain, (finite(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_154, plain, (X1=empty_set|~empty(X1))). % 0.22/0.41 cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_6, plain, (function(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_9, plain, (relation(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_30, plain, (finite(set_difference(X1,X2))|~finite(X1))). % 0.22/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_75, plain, (empty(X1)|~empty(esk9_1(X1)))). % 0.22/0.41 cnf(i_0_119, plain, (empty(X1)|~empty(esk20_1(X1)))). % 0.22/0.41 cnf(i_0_18, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.22/0.41 cnf(i_0_142, plain, (element(X1,X2)|~in(X1,X2))). % 0.22/0.41 cnf(i_0_51, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))). % 0.22/0.41 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.22/0.41 cnf(i_0_45, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.22/0.41 cnf(i_0_118, plain, (finite(esk20_1(X1))|empty(X1))). % 0.22/0.41 cnf(i_0_10, plain, (natural(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_14, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_22, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_156, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.22/0.41 cnf(i_0_149, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_15, plain, (one_to_one(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_153, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.22/0.41 cnf(i_0_148, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.22/0.41 cnf(i_0_44, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_46, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_146, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.22/0.41 cnf(i_0_76, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_120, plain, (empty(X1)|element(esk20_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_151, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.22/0.41 # Begin printing tableau % 0.22/0.41 # Found 5 steps % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0)), inference(start_rule)). % 0.22/0.41 cnf(i_0_159, plain, (finite(esk27_0)), inference(extension_rule, [i_0_14])). % 0.22/0.41 cnf(i_0_387, plain, (finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0)))), inference(closure_rule, [i_0_143])). % 0.22/0.41 cnf(i_0_389, plain, (~element(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0)),powerset(esk27_0))), inference(extension_rule, [i_0_142])). % 0.22/0.41 cnf(i_0_453, plain, (~in(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0)),powerset(esk27_0))), inference(etableau_closure_rule, [i_0_453, ...])). % 0.22/0.41 # End printing tableau % 0.22/0.41 # SZS output end % 0.22/0.41 # Branches closed with saturation will be marked with an "s" % 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # Begin clausification derivation % 0.22/0.41 % 0.22/0.41 # End clausification derivation % 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0))). % 0.22/0.41 cnf(i_0_144, negated_conjecture, (finite(esk28_0))). % 0.22/0.41 cnf(i_0_59, plain, (finite(esk3_0))). % 0.22/0.41 cnf(i_0_36, plain, (ordinal(empty_set))). % 0.22/0.41 cnf(i_0_55, plain, (ordinal(esk2_0))). % 0.22/0.41 cnf(i_0_66, plain, (ordinal(esk6_0))). % 0.22/0.41 cnf(i_0_70, plain, (ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_78, plain, (ordinal(esk11_0))). % 0.22/0.41 cnf(i_0_96, plain, (ordinal(esk14_0))). % 0.22/0.41 cnf(i_0_113, plain, (ordinal(esk19_0))). % 0.22/0.41 cnf(i_0_124, plain, (ordinal(esk22_0))). % 0.22/0.41 cnf(i_0_38, plain, (epsilon_transitive(empty_set))). % 0.22/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk2_0))). % 0.22/0.41 cnf(i_0_68, plain, (epsilon_transitive(esk6_0))). % 0.22/0.41 cnf(i_0_72, plain, (epsilon_transitive(esk7_0))). % 0.22/0.41 cnf(i_0_80, plain, (epsilon_transitive(esk11_0))). % 0.22/0.41 cnf(i_0_98, plain, (epsilon_transitive(esk14_0))). % 0.22/0.41 cnf(i_0_115, plain, (epsilon_transitive(esk19_0))). % 0.22/0.41 cnf(i_0_126, plain, (epsilon_transitive(esk22_0))). % 0.22/0.41 cnf(i_0_37, plain, (epsilon_connected(empty_set))). % 0.22/0.41 cnf(i_0_56, plain, (epsilon_connected(esk2_0))). % 0.22/0.41 cnf(i_0_67, plain, (epsilon_connected(esk6_0))). % 0.22/0.41 cnf(i_0_71, plain, (epsilon_connected(esk7_0))). % 0.22/0.41 cnf(i_0_79, plain, (epsilon_connected(esk11_0))). % 0.22/0.41 cnf(i_0_97, plain, (epsilon_connected(esk14_0))). % 0.22/0.41 cnf(i_0_114, plain, (epsilon_connected(esk19_0))). % 0.22/0.41 cnf(i_0_125, plain, (epsilon_connected(esk22_0))). % 0.22/0.41 cnf(i_0_33, plain, (empty(empty_set))). % 0.22/0.41 cnf(i_0_74, plain, (empty(esk8_0))). % 0.22/0.41 cnf(i_0_77, plain, (empty(esk10_0))). % 0.22/0.41 cnf(i_0_94, plain, (empty(esk13_0))). % 0.22/0.41 cnf(i_0_99, plain, (empty(esk14_0))). % 0.22/0.41 cnf(i_0_116, plain, (empty(esk19_0))). % 0.22/0.41 cnf(i_0_41, plain, (function(empty_set))). % 0.22/0.41 cnf(i_0_62, plain, (function(esk4_0))). % 0.22/0.41 cnf(i_0_64, plain, (function(esk5_0))). % 0.22/0.41 cnf(i_0_93, plain, (function(esk13_0))). % 0.22/0.41 cnf(i_0_101, plain, (function(esk14_0))). % 0.22/0.41 cnf(i_0_105, plain, (function(esk15_0))). % 0.22/0.41 cnf(i_0_122, plain, (function(esk21_0))). % 0.22/0.41 cnf(i_0_130, plain, (function(esk24_0))). % 0.22/0.41 cnf(i_0_134, plain, (function(esk25_0))). % 0.22/0.41 cnf(i_0_136, plain, (function(esk26_0))). % 0.22/0.41 cnf(i_0_32, plain, (relation(empty_set))). % 0.22/0.41 cnf(i_0_63, plain, (relation(esk4_0))). % 0.22/0.41 cnf(i_0_65, plain, (relation(esk5_0))). % 0.22/0.41 cnf(i_0_73, plain, (relation(esk8_0))). % 0.22/0.41 cnf(i_0_95, plain, (relation(esk13_0))). % 0.22/0.41 cnf(i_0_102, plain, (relation(esk14_0))). % 0.22/0.41 cnf(i_0_106, plain, (relation(esk15_0))). % 0.22/0.41 cnf(i_0_107, plain, (relation(esk16_0))). % 0.22/0.41 cnf(i_0_123, plain, (relation(esk21_0))). % 0.22/0.41 cnf(i_0_129, plain, (relation(esk23_0))). % 0.22/0.41 cnf(i_0_132, plain, (relation(esk24_0))). % 0.22/0.41 cnf(i_0_135, plain, (relation(esk25_0))). % 0.22/0.41 cnf(i_0_138, plain, (relation(esk26_0))). % 0.22/0.41 cnf(i_0_54, plain, (natural(esk2_0))). % 0.22/0.41 cnf(i_0_112, plain, (natural(esk19_0))). % 0.22/0.41 cnf(i_0_40, plain, (one_to_one(empty_set))). % 0.22/0.41 cnf(i_0_100, plain, (one_to_one(esk14_0))). % 0.22/0.41 cnf(i_0_121, plain, (one_to_one(esk21_0))). % 0.22/0.41 cnf(i_0_31, plain, (relation_empty_yielding(empty_set))). % 0.22/0.41 cnf(i_0_128, plain, (relation_empty_yielding(esk23_0))). % 0.22/0.41 cnf(i_0_131, plain, (relation_empty_yielding(esk24_0))). % 0.22/0.41 cnf(i_0_61, plain, (function_yielding(esk4_0))). % 0.22/0.41 cnf(i_0_69, plain, (being_limit_ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_104, plain, (transfinite_sequence(esk15_0))). % 0.22/0.41 cnf(i_0_133, plain, (transfinite_sequence(esk25_0))). % 0.22/0.41 cnf(i_0_103, plain, (ordinal_yielding(esk15_0))). % 0.22/0.41 cnf(i_0_137, plain, (relation_non_empty(esk26_0))). % 0.22/0.41 cnf(i_0_83, plain, (finite(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_150, plain, (set_difference(empty_set,X1)=empty_set)). % 0.22/0.41 cnf(i_0_85, plain, (ordinal(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_141, plain, (set_union2(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_147, plain, (set_difference(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.22/0.41 cnf(i_0_87, plain, (epsilon_transitive(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_86, plain, (epsilon_connected(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_91, plain, (empty(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_139, plain, (subset(X1,X1))). % 0.22/0.41 cnf(i_0_109, plain, (empty(esk17_1(X1)))). % 0.22/0.41 cnf(i_0_89, plain, (function(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_90, plain, (relation(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_84, plain, (natural(esk1# SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # Begin clausification derivation % 0.22/0.41 % 0.22/0.41 # End clausification derivation % 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0))). % 0.22/0.41 cnf(i_0_144, negated_conjecture, (finite(esk28_0))). % 0.22/0.41 cnf(i_0_59, plain, (finite(esk3_0))). % 0.22/0.41 cnf(i_0_36, plain, (ordinal(empty_set))). % 0.22/0.41 cnf(i_0_55, plain, (ordinal(esk2_0))). % 0.22/0.41 cnf(i_0_66, plain, (ordinal(esk6_0))). % 0.22/0.41 cnf(i_0_70, plain, (ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_78, plain, (ordinal(esk11_0))). % 0.22/0.41 cnf(i_0_96, plain, (ordinal(esk14_0))). % 0.22/0.41 cnf(i_0_113, plain, (ordinal(esk19_0))). % 0.22/0.41 cnf(i_0_124, plain, (ordinal(esk22_0))). % 0.22/0.41 cnf(i_0_38, plain, (epsilon_transitive(empty_set))). % 0.22/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk2_0))). % 0.22/0.41 cnf(i_0_68, plain, (epsilon_transitive(esk6_0))). % 0.22/0.41 cnf(i_0_72, plain, (epsilon_transitive(esk7_0))). % 0.22/0.41 cnf(i_0_80, plain, (epsilon_transitive(esk11_0))). % 0.22/0.41 cnf(i_0_98, plain, (epsilon_transitive(esk14_0))). % 0.22/0.41 cnf(i_0_115, plain, (epsilon_transitive(esk19_0))). % 0.22/0.41 cnf(i_0_126, plain, (epsilon_transitive(esk22_0))). % 0.22/0.41 cnf(i_0_37, plain, (epsilon_connected(empty_set))). % 0.22/0.41 cnf(i_0_56, plain, (epsilon_connected(esk2_0))). % 0.22/0.41 cnf(i_0_67, plain, (epsilon_connected(esk6_0))). % 0.22/0.41 cnf(i_0_71, plain, (epsilon_connected(esk7_0))). % 0.22/0.41 cnf(i_0_79, plain, (epsilon_connected(esk11_0))). % 0.22/0.41 cnf(i_0_97, plain, (epsilon_connected(esk14_0))). % 0.22/0.41 cnf(i_0_114, plain, (epsilon_connected(esk19_0))). % 0.22/0.41 cnf(i_0_125, plain, (epsilon_connected(esk22_0))). % 0.22/0.41 cnf(i_0_33, plain, (empty(empty_set))). % 0.22/0.41 cnf(i_0_74, plain, (empty(esk8_0))). % 0.22/0.41 cnf(i_0_77, plain, (empty(esk10_0))). % 0.22/0.41 cnf(i_0_94, plain, (empty(esk13_0))). % 0.22/0.41 cnf(i_0_99, plain, (empty(esk14_0))). % 0.22/0.41 cnf(i_0_116, plain, (empty(esk19_0))). % 0.22/0.41 cnf(i_0_41, plain, (function(empty_set))). % 0.22/0.41 cnf(i_0_62, plain, (function(esk4_0))). % 0.22/0.41 cnf(i_0_64, plain, (function(esk5_0))). % 0.22/0.41 cnf(i_0_93, plain, (function(esk13_0))). % 0.22/0.41 cnf(i_0_101, plain, (function(esk14_0))). % 0.22/0.41 cnf(i_0_105, plain, (function(esk15_0))). % 0.22/0.41 cnf(i_0_122, plain, (function(esk21_0))). % 0.22/0.41 cnf(i_0_130, plain, (function(esk24_0))). % 0.22/0.41 cnf(i_0_134, plain, (function(esk25_0))). % 0.22/0.41 cnf(i_0_136, plain, (function(esk26_0))). % 0.22/0.41 cnf(i_0_32, plain, (relation(empty_set))). % 0.22/0.41 cnf(i_0_63, plain, (relation(esk4_0))). % 0.22/0.41 cnf(i_0_65, plain, (relation(esk5_0))). % 0.22/0.41 cnf(i_0_73, plain, (relation(esk8_0))). % 0.22/0.41 cnf(i_0_95, plain, (relation(esk13_0))). % 0.22/0.41 cnf(i_0_102, plain, (relation(esk14_0))). % 0.22/0.41 cnf(i_0_106, plain, (relation(esk15_0))). % 0.22/0.41 cnf(i_0_107, plain, (relation(esk16_0))). % 0.22/0.41 cnf(i_0_123, plain, (relation(esk21_0))). % 0.22/0.41 cnf(i_0_129, plain, (relation(esk23_0))). % 0.22/0.41 cnf(i_0_132, plain, (relation(esk24_0))). % 0.22/0.41 cnf(i_0_135, plain, (relation(esk25_0))). % 0.22/0.41 cnf(i_0_138, plain, (relation(esk26_0))). % 0.22/0.41 cnf(i_0_54, plain, (natural(esk2_0))). % 0.22/0.41 cnf(i_0_112, plain, (natural(esk19_0))). % 0.22/0.41 cnf(i_0_40, plain, (one_to_one(empty_set))). % 0.22/0.41 cnf(i_0_100, plain, (one_to_one(esk14_0))). % 0.22/0.41 cnf(i_0_121, plain, (one_to_one(esk21_0))). % 0.22/0.41 cnf(i_0_31, plain, (relation_empty_yielding(empty_set))). % 0.22/0.41 cnf(i_0_128, plain, (relation_empty_yielding(esk23_0))). % 0.22/0.41 cnf(i_0_131, plain, (relation_empty_yielding(esk24_0))). % 0.22/0.41 cnf(i_0_61, plain, (function_yielding(esk4_0))). % 0.22/0.41 cnf(i_0_69, plain, (being_limit_ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_104, plain, (transfinite_sequence(esk15_0))). % 0.22/0.41 cnf(i_0_133, plain, (transfinite_sequence(esk25_0))). % 0.22/0.41 cnf(i_0_103, plain, (ordinal_yielding(esk15_0))). % 0.22/0.41 cnf(i_0_137, plain, (relation_non_empty(esk26_0))). % 0.22/0.41 cnf(i_0_83, plain, (finite(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_150, plain, (set_difference(empty_set,X1)=empty_set)). % 0.22/0.41 cnf(i_0_85, plain, (ordinal(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_141, plain, (set_union2(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_147, plain, (set_difference(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.22/0.41 cnf(i_0_87, plain, (epsilon_transitive(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_86, plain, (epsilon_connected(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_91, plain, (empty(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_139, plain, (subset(X1,X1))). % 0.22/0.41 cnf(i_0_109, plain, (empty(esk17_1(X1)))). % 0.22/0.41 cnf(i_0_89, plain, (function(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_90, plain, (relation(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_84, plain, (natural(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_88, plain, (one_to_one(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_82, plain, (element(esk11_0,positive_rationals))). % 0.22/0.41 cnf(i_0_117, plain, (element(esk19_0,positive_rationals))). % 0.22/0.41 cnf(i_0_29, plain, (element(esk1_1(X1),X1))). % 0.22/0.41 cnf(i_0_92, plain, (element(esk12_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_110, plain, (element(esk17_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_26, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.22/0.41 cnf(i_0_143, negated_conjecture, (~finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0))))). % 0.22/0.41 cnf(i_0_50, plain, (~empty(positive_rationals))). % 0.22/0.41 cnf(i_0_58, plain, (~empty(esk2_0))). % 0.22/0.41 cnf(i_0_60, plain, (~empty(esk3_0))). % 0.22/0.41 cnf(i_0_81, plain, (~empty(esk11_0))). % 0.22/0.41 cnf(i_0_108, plain, (~empty(esk16_0))). % 0.22/0.41 cnf(i_0_111, plain, (~empty(esk18_0))). % 0.22/0.41 cnf(i_0_127, plain, (~empty(esk22_0))). % 0.22/0.41 cnf(i_0_34, plain, (~empty(powerset(X1)))). % 0.22/0.41 cnf(i_0_155, plain, (~empty(X1)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_19, plain, (ordinal(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_21, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_20, plain, (epsilon_connected(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_5, plain, (finite(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_154, plain, (X1=empty_set|~empty(X1))). % 0.22/0.41 cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_6, plain, (function(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_9, plain, (relation(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_30, plain, (finite(set_difference(X1,X2))|~finite(X1))). % 0.22/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_75, plain, (empty(X1)|~empty(esk9_1(X1)))). % 0.22/0.41 cnf(i_0_119, plain, (empty(X1)|~empty(esk20_1(X1)))). % 0.22/0.41 cnf(i_0_18, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.22/0.41 cnf(i_0_142, plain, (element(X1,X2)|~in(X1,X2))). % 0.22/0.41 cnf(i_0_51, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))). % 0.22/0.41 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.22/0.41 cnf(i_0_45, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.22/0.41 cnf(i_0_118, plain, (finite(esk20_1(X1))|empty(X1))). % 0.22/0.41 cnf(i_0_10, plain, (natural(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_14, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_22, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_156, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.22/0.41 cnf(i_0_149, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_15, plain, (one_to_one(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_153, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.22/0.41 cnf(i_0_148, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.22/0.41 cnf(i_0_44, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_46, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_146, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.22/0.41 cnf(i_0_76, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_120, plain, (empty(X1)|element(esk20_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_151, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.22/0.41 # Begin printing tableau % 0.22/0.41 # Found 5 steps % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0)), inference(start_rule)). % 0.22/0.41 cnf(i_0_159, plain, (finite(esk27_0)), inference(extension_rule, [i_0_51])). % 0.22/0.41 cnf(i_0_369, plain, (~finite(esk3_0)), inference(closure_rule, [i_0_59])). % 0.22/0.41 cnf(i_0_367, plain, (finite(set_union2(esk3_0,esk27_0))), inference(extension_rule, [i_0_30])). % 0.22/0.41 cnf(i_0_441, plain, (finite(set_difference(set_union2(esk3_0,esk27_0),X4))), inference(etableau_closure_rule, [i_0_441, ...])). % 0.22/0.41 # End printing tableau % 0.22/0.41 # SZS output end % 0.22/0.41 # Branches closed with saturation will be marked with an "s" % 0.22/0.41 2_1(X1)))). % 0.22/0.41 cnf(i_0_88, plain, (one_to_one(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_82, plain, (element(esk11_0,positive_rationals))). % 0.22/0.41 cnf(i_0_117, plain, (element(esk19_0,positive_rationals))). % 0.22/0.41 cnf(i_0_29, plain, (element(esk1_1(X1),X1))). % 0.22/0.41 cnf(i_0_92, plain, (element(esk12_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_110, plain, (element(esk17_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_26, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.22/0.41 cnf(i_0_143, negated_conjecture, (~finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0))))). % 0.22/0.41 cnf(i_0_50, plain, (~empty(positive_rationals))). % 0.22/0.41 cnf(i_0_58, plain, (~empty(esk2_0))). % 0.22/0.41 cnf(i_0_60, plain, (~empty(esk3_0))). % 0.22/0.41 cnf(i_0_81, plain, (~empty(esk11_0))). % 0.22/0.41 cnf(i_0_108, plain, (~empty(esk16_0))). % 0.22/0.41 cnf(i_0_111, plain, (~empty(esk18_0))). % 0.22/0.41 cnf(i_0_127, plain, (~empty(esk22_0))). % 0.22/0.41 cnf(i_0_34, plain, (~empty(powerset(X1)))). % 0.22/0.41 cnf(i_0_155, plain, (~empty(X1)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_19, plain, (ordinal(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_21, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_20, plain, (epsilon_connected(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_5, plain, (finite(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_154, plain, (X1=empty_set|~empty(X1))). % 0.22/0.41 cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_6, plain, (function(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_9, plain, (relation(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_30, plain, (finite(set_difference(X1,X2))|~finite(X1))). % 0.22/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_75, plain, (empty(X1)|~empty(esk9_1(X1)))). % 0.22/0.41 cnf(i_0_119, plain, (empty(X1)|~empty(esk20_1(X1)))). % 0.22/0.41 cnf(i_0_18, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.22/0.41 cnf(i_0_142, plain, (element(X1,X2)|~in(X1,X2))). % 0.22/0.41 cnf(i_0_51, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))). % 0.22/0.41 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.22/0.41 cnf(i_0_45, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.22/0.41 cnf(i_0_118, plain, (finite(esk20_1(X1))|empty(X1))). % 0.22/0.41 cnf(i_0_10, plain, (natural(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_14, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_22, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_156, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.22/0.41 cnf(i_0_149, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_15, plain, (one_to_one(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_153, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.22/0.41 cnf(i_0_148, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.22/0.41 cnf(i_0_44, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_46, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_146, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.22/0.41 cnf(i_0_76, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_120, plain, (empty(X1)|element(esk20_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_151, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.22/0.41 # Begin printing tableau % 0.22/0.41 # Found 5 steps % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0)), inference(start_rule)). % 0.22/0.41 cnf(i_0_159, plain, (finite(esk27_0)), inference(extension_rule, [i_0_51])). % 0.22/0.41 cnf(i_0_368, plain, (~finite(esk3_0)), inference(closure_rule, [i_0_59])). % 0.22/0.41 cnf(i_0_367, plain, (finite(set_union2(esk27_0,esk3_0))), inference(extension_rule, [i_0_30])). % 0.22/0.41 cnf(i_0_441, plain, (finite(set_difference(set_union2(esk27_0,esk3_0),X4))), inference(etableau_closure_rule, [i_0_441, ...])). % 0.22/0.41 # End printing tableau % 0.22/0.41 # SZS output end % 0.22/0.41 # Branches closed with saturation will be marked with an "s" % 0.22/0.41 # There were 1 total branch saturation attempts. % 0.22/0.41 # There were 0 of these attempts blocked. % 0.22/0.41 # There were 0 deferred branch saturation attempts. % 0.22/0.41 # There were 0 free duplicated saturations. % 0.22/0.41 # There were 1 total successful branch saturations. % 0.22/0.41 # There were 0 successful branch saturations in interreduction. % 0.22/0.41 # There were 0 successful branch saturations on the branch. % 0.22/0.41 # There were 1 successful branch saturations after the branch. % 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # Begin clausification derivation % 0.22/0.41 % 0.22/0.41 # End clausification derivation % 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0))). % 0.22/0.41 cnf(i_0_144, negated_conjecture, (finite(esk28_0))). % 0.22/0.41 cnf(i_0_59, plain, (finite(esk3_0))). % 0.22/0.41 cnf(i_0_36, plain, (ordinal(empty_set))). % 0.22/0.41 cnf(i_0_55, plain, (ordinal(esk2_0))). % 0.22/0.41 cnf(i_0_66, plain, (ordinal(esk6_0))). % 0.22/0.41 cnf(i_0_70, plain, (ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_78, plain, (ordinal(esk11_0))). % 0.22/0.41 cnf(i_0_96, plain, (ordinal(esk14_0))). % 0.22/0.41 cnf(i_0_113, plain, (ordinal(esk19_0))). % 0.22/0.41 cnf(i_0_124, plain, (ordinal(esk22_0))). % 0.22/0.41 cnf(i_0_38, plain, (epsilon_transitive(empty_set))). % 0.22/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk2_0))). % 0.22/0.41 cnf(i_0_68, plain, (epsilon_transitive(esk6_0))). % 0.22/0.41 cnf(i_0_72, plain, (epsilon_transitive(esk7_0))). % 0.22/0.41 cnf(i_0_80, plain, (epsilon_transitive(esk11_0))). % 0.22/0.41 cnf(i_0_98, plain, (epsilon_transitive(esk14_0))). % 0.22/0.41 cnf(i_0_115, plain, (epsilon_transitive(esk19_0))). % 0.22/0.41 cnf(i_0_126, plain, (epsilon_transitive(esk22_0))). % 0.22/0.41 cnf(i_0_37, plain, (epsilon_connected(empty_set))). % 0.22/0.41 cnf(i_0_56, plain, (epsilon_connected(esk2_0))). % 0.22/0.41 cnf(i_0_67, plain, (epsilon_connected(esk6_0))). % 0.22/0.41 cnf(i_0_71, plain, (epsilon_connected(esk7_0))). % 0.22/0.41 cnf(i_0_79, plain, (epsilon_connected(esk11_0))). % 0.22/0.41 cnf(i_0_97, plain, (epsilon_connected(esk14_0))). % 0.22/0.41 cnf(i_0_114, plain, (epsilon_connected(esk19_0))). % 0.22/0.41 cnf(i_0_125, plain, (epsilon_connected(esk22_0))). % 0.22/0.41 cnf(i_0_33, plain, (empty(empty_set))). % 0.22/0.41 cnf(i_0_74, plain, (empty(esk8_0))). % 0.22/0.41 cnf(i_0_77, plain, (empty(esk10_0))). % 0.22/0.41 cnf(i_0_94, plain, (empty(esk13_0))). % 0.22/0.41 cnf(i_0_99, plain, (empty(esk14_0))). % 0.22/0.41 cnf(i_0_116, plain, (empty(esk19_0))). % 0.22/0.41 cnf(i_0_41, plain, (function(empty_set))). % 0.22/0.41 cnf(i_0_62, plain, (function(esk4_0))). % 0.22/0.41 cnf(i_0_64, plain, (function(esk5_0))). % 0.22/0.41 cnf(i_0_93, plain, (function(esk13_0))). % 0.22/0.41 cnf(i_0_101, plain, (function(esk14_0))). % 0.22/0.41 cnf(i_0_105, plain, (function(esk15_0))). % 0.22/0.41 cnf(i_0_122, plain, (function(esk21_0))). % 0.22/0.41 cnf(i_0_130, plain, (function(esk24_0))). % 0.22/0.41 cnf(i_0_134, plain, (function(esk25_0))). % 0.22/0.41 cnf(i_0_136, plain, (function(esk26_0))). % 0.22/0.41 cnf(i_0_32, plain, (relation(empty_set))). % 0.22/0.41 cnf(i_0_63, plain, (relation(esk4_0))). % 0.22/0.41 cnf(i_0_65, plain, (relation(esk5_0))). % 0.22/0.41 cnf(i_0_73, plain, (relation(esk8_0))). % 0.22/0.41 cnf(i_0_95, plain, (relation(esk13_0))). % 0.22/0.41 cnf(i_0_102, plain, (relation(esk14_0))). % 0.22/0.41 cnf(i_0_106, plain, (relation(esk15_0))). % 0.22/0.41 cnf(i_0_107, plain, (relation(esk16_0))). % 0.22/0.41 cnf(i_0_123, plain, (relation(esk21_0))). % 0.22/0.41 cnf(i_0_129, plain, (relation(esk23_0))). % 0.22/0.41 cnf(i_0_132, plain, (relation(esk24_0))). % 0.22/0.41 cnf(i_0_135, plain, (relation(esk25_0))). % 0.22/0.41 cnf(i_0_138, plain, (relation(esk26_0))). % 0.22/0.41 cnf(i_0_54, plain, (natural(esk2_0))). % 0.22/0.41 cnf(i_0_112, plain, (natural(esk19_0))). % 0.22/0.41 cnf(i_0_40, plain, (one_to_one(empty_set))). % 0.22/0.41 cnf(i_0_100, plain, (one_to_one(esk14_0))). % 0.22/0.41 cnf(i_0_121, plain, (one_to_one(esk21_0))). % 0.22/0.41 cnf(i_0_31, plain, (relation_empty_yielding(empty_set))). % 0.22/0.41 cnf(i_0_128, plain, (relation_empty_yielding(esk23_0))). % 0.22/0.41 cnf(i_0_131, plain, (relation_empty_yielding(esk24_0))). % 0.22/0.41 cnf(i_0_61, plain, (function_yielding(esk4_0))). % 0.22/0.41 cnf(i_0_69, plain, (being_limit_ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_104, plain, (transfinite_sequence(esk15_0))). % 0.22/0.41 cnf(i_0_133, plain, (transfinite_sequence(esk25_0))). % 0.22/0.41 cnf(i_0_103, plain, (ordinal_yielding(esk15_0))). % 0.22/0.41 cnf(i_0_137, plain, (relation_non_empty(esk26_0))). % 0.22/0.41 cnf(i_0_83, plain, (finite(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_150, plain, (set_difference(empty_set,X1)=empty_set)). % 0.22/0.41 cnf(i_0_85, plain, (ordinal(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_141, plain, (set_union2(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_147, plain, (set_difference(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.22/0.41 cnf(i_0_87, plain, (epsilon_transitive(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_86, plain, (epsilon_connected(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_91, plain, (empty(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_139, plain, (subset(X1,X1))). % 0.22/0.41 cnf(i_0_109, plain, (empty(esk17_1(X1)))). % 0.22/0.41 cnf(i_0_89, plain, (function(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_90, plain, (relation(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_84, plain, (natural(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_88, plain, (one_to_one(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_82, plain, (element(esk11_0,positive_rationals))). % 0.22/0.41 cnf(i_0_117, plain, (element(esk19_0,positive_rationals))). % 0.22/0.41 cnf(i_0_29, plain, (element(esk1_1(X1),X1))). % 0.22/0.41 cnf(i_0_92, plain, (element(esk12_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_110, plain, (element(esk17_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_26, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.22/0.41 cnf(i_0_143, negated_conjecture, (~finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0))))). % 0.22/0.41 cnf(i_0_50, plain, (~empty(positive_rationals))). % 0.22/0.41 cnf(i_0_58, plain, (~empty(esk2_0))). % 0.22/0.41 cnf(i_0_60, plain, (~empty(esk3_0))). % 0.22/0.41 cnf(i_0_81, plain, (~empty(esk11_0))). % 0.22/0.41 cnf(i_0_108, plain, (~empty(esk16_0))). % 0.22/0.41 cnf(i_0_111, plain, (~empty(esk18_0))). % 0.22/0.41 cnf(i_0_127, plain, (~empty(esk22_0))). % 0.22/0.41 cnf(i_0_34, plain, (~empty(powerset(X1)))). % 0.22/0.41 cnf(i_0_155, plain, (~empty(X1)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_19, plain, (ordinal(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_21, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_20, plain, (epsilon_connected(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_5, plain, (finite(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_154, plain, (X1=empty_set|~empty(X1))). % 0.22/0.41 cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_6, plain, (function(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_9, plain, (relation(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_30, plain, (finite(set_difference(X1,X2))|~finite(X1))). % 0.22/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.22/0.41 cnf(i_0_75, plain, (empty(X1)|~empty(esk9_1(X1)))). % 0.22/0.41 cnf(i_0_119, plain, (empty(X1)|~empty(esk20_1(X1)))). % 0.22/0.41 cnf(i_0_18, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.22/0.41 cnf(i_0_142, plain, (element(X1,X2)|~in(X1,X2))). % 0.22/0.41 cnf(i_0_51, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))). % 0.22/0.41 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.22/0.41 cnf(i_0_45, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.22/0.41 cnf(i_0_118, plain, (finite(esk20_1(X1))|empty(X1))). % 0.22/0.41 cnf(i_0_10, plain, (natural(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.41 cnf(i_0_14, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_22, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))). % 0.22/0.41 cnf(i_0_156, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.22/0.41 cnf(i_0_149, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.22/0.41 cnf(i_0_15, plain, (one_to_one(X1)|~empty(X1))). % 0.22/0.41 cnf(i_0_153, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.22/0.41 cnf(i_0_148, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.22/0.41 cnf(i_0_44, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_46, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.41 cnf(i_0_146, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.22/0.41 cnf(i_0_76, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_120, plain, (empty(X1)|element(esk20_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_151, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.22/0.41 # Begin printing tableau % 0.22/0.41 # Found 5 steps % 0.22/0.41 cnf(i_0_144, negated_conjecture, (finite(esk28_0)), inference(start_rule)). % 0.22/0.41 cnf(i_0_158, plain, (finite(esk28_0)), inference(extension_rule, [i_0_14])). % 0.22/0.41 cnf(i_0_300, plain, (finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0)))), inference(closure_rule, [i_0_143])). % 0.22/0.41 cnf(i_0_302, plain, (~element(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0)),powerset(esk28_0))), inference(extension_rule, [i_0_142])). % 0.22/0.41 cnf(i_0_453, plain, (~in(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0)),powerset(esk28_0))), inference(etableau_closure_rule, [i_0_453, ...])). % 0.22/0.41 # End printing tableau % 0.22/0.41 # SZS output end % 0.22/0.41 # Branches closed with saturation will be marked with an "s" % 0.22/0.41 # There were 1 total branch saturation attempts. % 0.22/0.41 # There were 0 of these attempts blocked. % 0.22/0.41 # There were 0 deferred branch saturation attempts. % 0.22/0.41 # There were 0 free duplicated saturations. % 0.22/0.41 # There were 1 total successful branch saturations. % 0.22/0.41 # There were 0 successful branch saturations in interreduction. % 0.22/0.41 # There were 0 successful branch saturations on the branch. % 0.22/0.41 # There were 1 successful branch saturations after the branch. % 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.41 # Begin clausification derivation % 0.22/0.41 % 0.22/0.41 # End clausification derivation % 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.22/0.41 cnf(i_0_145, negated_conjecture, (finite(esk27_0))). % 0.22/0.41 cnf(i_0_144, negated_conjecture, (finite(esk28_0))). % 0.22/0.41 cnf(i_0_59, plain, (finite(esk3_0))). % 0.22/0.41 cnf(i_0_36, plain, (ordinal(empty_set))). % 0.22/0.41 cnf(i_0_55, plain, (ordinal(esk2_0))). % 0.22/0.41 cnf(i_0_66, plain, (ordinal(esk6_0))). % 0.22/0.41 cnf(i_0_70, plain, (ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_78, plain, (ordinal(esk11_0))). % 0.22/0.41 cnf(i_0_96, plain, (ordinal(esk14_0))). % 0.22/0.41 cnf(i_0_113, plain, (ordinal(esk19_0))). % 0.22/0.41 cnf(i_0_124, plain, (ordinal(esk22_0))). % 0.22/0.41 cnf(i_0_38, plain, (epsilon_transitive(empty_set))). % 0.22/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk2_0))). % 0.22/0.41 cnf(i_0_68, plain, (epsilon_transitive(esk6_0))). % 0.22/0.41 cnf(i_0_72, plain, (epsilon_transitive(esk7_0))). % 0.22/0.41 cnf(i_0_80, plain, (epsilon_transitive(esk11_0))). % 0.22/0.41 cnf(i_0_98, plain, (epsilon_transitive(esk14_0))). % 0.22/0.41 cnf(i_0_115, plain, (epsilon_transitive(esk19_0))). % 0.22/0.41 cnf(i_0_126, plain, (epsilon_transitive(esk22_0))). % 0.22/0.41 cnf(i_0_37, plain, (epsilon_connected(empty_set))). % 0.22/0.41 cnf(i_0_56, plain, (epsilon_connected(esk2_0))). % 0.22/0.41 cnf(i_0_67, plain, (epsilon_connected(esk6_0))). % 0.22/0.41 cnf(i_0_71, plain, (epsilon_connected(esk7_0))). % 0.22/0.41 cnf(i_0_79, plain, (epsilon_connected(esk11_0))). % 0.22/0.41 cnf(i_0_97, plain, (epsilon_connected(esk14_0))). % 0.22/0.41 cnf(i_0_114, plain, (epsilon_connected(esk19_0))). % 0.22/0.41 cnf(i_0_125, plain, (epsilon_connected(esk22_0))). % 0.22/0.41 cnf(i_0_33, plain, (empty(empty_set))). % 0.22/0.41 cnf(i_0_74, plain, (empty(esk8_0))). % 0.22/0.41 cnf(i_0_77, plain, (empty(esk10_0))). % 0.22/0.41 cnf(i_0_94, plain, (empty(esk13_0))). % 0.22/0.41 cnf(i_0_99, plain, (empty(esk14_0))). % 0.22/0.41 cnf(i_0_116, plain, (empty(esk19_0))). % 0.22/0.41 cnf(i_0_41, plain, (function(empty_set))). % 0.22/0.41 cnf(i_0_62, plain, (function(esk4_0))). % 0.22/0.41 cnf(i_0_64, plain, (function(esk5_0))). % 0.22/0.41 cnf(i_0_93, plain, (function(esk13_0))). % 0.22/0.41 cnf(i_0_101, plain, (function(esk14_0))). % 0.22/0.41 cnf(i_0_105, plain, (function(esk15_0))). % 0.22/0.41 cnf(i_0_122, plain, (function(esk21_0))). % 0.22/0.41 cnf(i_0_130, plain, (function(esk24_0))). % 0.22/0.41 cnf(i_0_134, plain, (function(esk25_0))). % 0.22/0.41 cnf(i_0_136, plain, (function(esk26_0))). % 0.22/0.41 cnf(i_0_32, plain, (relation(empty_set))). % 0.22/0.41 cnf(i_0_63, plain, (relation(esk4_0))). % 0.22/0.41 cnf(i_0_65, plain, (relation(esk5_0))). % 0.22/0.41 cnf(i_0_73, plain, (relation(esk8_0))). % 0.22/0.41 cnf(i_0_95, plain, (relation(esk13_0))). % 0.22/0.41 cnf(i_0_102, plain, (relation(esk14_0))). % 0.22/0.41 cnf(i_0_106, plain, (relation(esk15_0))). % 0.22/0.41 cnf(i_0_107, plain, (relation(esk16_0))). % 0.22/0.41 cnf(i_0_123, plain, (relation(esk21_0))). % 0.22/0.41 cnf(i_0_129, plain, (relation(esk23_0))). % 0.22/0.41 cnf(i_0_132, plain, (relation(esk24_0))). % 0.22/0.41 cnf(i_0_135, plain, (relation(esk25_0))). % 0.22/0.41 cnf(i_0_138, plain, (relation(esk26_0))). % 0.22/0.41 cnf(i_0_54, plain, (natural(esk2_0))). % 0.22/0.41 cnf(i_0_112, plain, (natural(esk19_0))). % 0.22/0.41 cnf(i_0_40, plain, (one_to_one(empty_set))). % 0.22/0.41 cnf(i_0_100, plain, (one_to_one(esk14_0))). % 0.22/0.41 cnf(i_0_121, plain, (one_to_one(esk21_0))). % 0.22/0.41 cnf(i_0_31, plain, (relation_empty_yielding(empty_set))). % 0.22/0.41 cnf(i_0_128, plain, (relation_empty_yielding(esk23_0))). % 0.22/0.41 cnf(i_0_131, plain, (relation_empty_yielding(esk24_0))). % 0.22/0.41 cnf(i_0_61, plain, (function_yielding(esk4_0))). % 0.22/0.41 cnf(i_0_69, plain, (being_limit_ordinal(esk7_0))). % 0.22/0.41 cnf(i_0_104, plain, (transfinite_sequence(esk15_0))). % 0.22/0.41 cnf(i_0_133, plain, (transfinite_sequence(esk25_0))). % 0.22/0.41 cnf(i_0_103, plain, (ordinal_yielding(esk15_0))). % 0.22/0.41 cnf(i_0_137, plain, (relation_non_empty(esk26_0))). % 0.22/0.41 cnf(i_0_83, plain, (finite(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_150, plain, (set_difference(empty_set,X1)=empty_set)). % 0.22/0.41 cnf(i_0_85, plain, (ordinal(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_141, plain, (set_union2(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_147, plain, (set_difference(X1,empty_set)=X1)). % 0.22/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.22/0.41 cnf(i_0_87, plain, (epsilon_transitive(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_86, plain, (epsilon_connected(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_91, plain, (empty(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_139, plain, (subset(X1,X1))). % 0.22/0.41 cnf(i_0_109, plain, (empty(esk17_1(X1)))). % 0.22/0.41 cnf(i_0_89, plain, (function(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_90, plain, (relation(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_84, plain, (natural(esk1# There were 1 total branch saturation attempts. % 0.22/0.41 # There were 0 of these attempts blocked. % 0.22/0.41 # There were 0 deferred branch saturation attempts. % 0.22/0.41 # There were 0 free duplicated saturations. % 0.22/0.41 # There were 1 total successful branch saturations. % 0.22/0.41 # There were 0 successful branch saturations in interreduction. % 0.22/0.41 # There were 0 successful branch saturations on the branch. % 0.22/0.41 # There were 1 successful branch saturations after the branch. % 0.22/0.41 2_1(X1)))). % 0.22/0.41 cnf(i_0_88, plain, (one_to_one(esk12_1(X1)))). % 0.22/0.41 cnf(i_0_82, plain, (element(esk11_0,positive_rationals))). % 0.22/0.41 cnf(i_0_117, plain, (element(esk19_0,positive_rationals))). % 0.22/0.41 cnf(i_0_29, plain, (element(esk1_1(X1),X1))). % 0.22/0.41 cnf(i_0_92, plain, (element(esk12_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_110, plain, (element(esk17_1(X1),powerset(X1)))). % 0.22/0.41 cnf(i_0_26, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.22/0.41 cnf(i_0_143, negated_conjecture, (~finite(set_union2(set_difference(esk27_0,esk28_0),set_difference(esk28_0,esk27_0))))). % 0.22/0.41 cnf(i_0_50, plain, (~empty(positive_rationals))). % 0.22/0.41 cnf(i_0_58, plain, (~empty(esk2_0))). % 0.22/0.41 cnf(i_0_60, plain, (~empty(esk3_0))). % 0.22/0.41 cnf(i_0_81, plain, (~empty(esk11_0))). % 0.22/0.41 cnf(i_0_108, plain, (~empty(esk16_0))). % 0.22/0.41 cnf(i_0_111, plain, (~empty(esk18_0))). % 0.22/0.41 cnf(i_0_127, plain, (~empty(esk22_0))). % 0.22/0.41 cnf(i_0_34, plain, (~empty(powerset(X1)))). % 0.22/0.42 cnf(i_0_155, plain, (~empty(X1)|~in(X2,X1))). % 0.22/0.42 cnf(i_0_19, plain, (ordinal(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_21, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_20, plain, (epsilon_connected(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_5, plain, (finite(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_154, plain, (X1=empty_set|~empty(X1))). % 0.22/0.42 cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.22/0.42 cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.22/0.42 cnf(i_0_6, plain, (function(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_9, plain, (relation(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_30, plain, (finite(set_difference(X1,X2))|~finite(X1))). % 0.22/0.42 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.22/0.42 cnf(i_0_75, plain, (empty(X1)|~empty(esk9_1(X1)))). % 0.22/0.42 cnf(i_0_119, plain, (empty(X1)|~empty(esk20_1(X1)))). % 0.22/0.42 cnf(i_0_18, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.22/0.42 cnf(i_0_142, plain, (element(X1,X2)|~in(X1,X2))). % 0.22/0.42 cnf(i_0_51, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))). % 0.22/0.42 cnf(i_0_47, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.22/0.42 cnf(i_0_45, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.22/0.42 cnf(i_0_118, plain, (finite(esk20_1(X1))|empty(X1))). % 0.22/0.42 cnf(i_0_10, plain, (natural(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.42 cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.42 cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))). % 0.22/0.42 cnf(i_0_14, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). % 0.22/0.42 cnf(i_0_22, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))). % 0.22/0.42 cnf(i_0_156, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.22/0.42 cnf(i_0_149, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.22/0.42 cnf(i_0_15, plain, (one_to_one(X1)|~empty(X1))). % 0.22/0.42 cnf(i_0_153, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.22/0.42 cnf(i_0_148, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.22/0.42 cnf(i_0_44, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.42 cnf(i_0_46, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))). % 0.22/0.42 cnf(i_0_146, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.22/0.42 cnf(i_0_76, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))). % 0.22/0.42 cnf(i_0_120, plain, (empty(X1)|element(esk20_1(X1),powerset(X1)))). % 0.22/0.42 cnf(i_0_151, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.22/0.42 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.22/0.42 # Begin printing tableau % 0.22/0.42 # Found 5 steps % 0.22/0.42 cnf(i_0_144, negated_conjecture, (finite(esk28_0)), inference(start_rule)). % 0.22/0.42 cnf(i_0_158, plain, (finite(esk28_0)), inference(extension_rule, [i_0_51])). % 0.22/0.42 cnf(i_0_281, plain, (~finite(esk3_0)), inference(closure_rule, [i_0_59])). % 0.22/0.42 cnf(i_0_280, plain, (finite(set_union2(esk28_0,esk3_0))), inference(extension_rule, [i_0_30])). % 0.22/0.42 cnf(i_0_441, plain, (finite(set_difference(set_union2(esk28_0,esk3_0),X4))), inference(etableau_closure_rule, [i_0_441, ...])). % 0.22/0.42 # End printing tableau % 0.22/0.42 # SZS output end % 0.22/0.42 # Branches closed with saturation will be marked with an "s" % 0.22/0.42 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.42 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.42 # Begin clausification derivation % 0.22/0.42 % 0.22/0.42 # End clausification derivation % 0.22/0.42 # Begin listing active clauses obtained from FOF to CNF conversion % 0.22/0.42 cnf(i_0_145, negated_conjecture, (finite(esk27_0))). % 0.22/0.42 cnf(i_0_144, negated_conjecture, (finite(esk28_0))). % 0.22/0.42 cnf(i_0_59, plain, (finite(esk3_0))). % 0.22/0.42 cnf(i_0_36, plain, (ordinal(empty_set))). % 0.22/0.42 cnf(i_0_55, plain, (ordinal(esk2_0))). % 0.22/0.42 cnf(i_0_66, plain, (ordinal(esk6_0))). % 0.22/0.42 cnf(i_0_70, plain, (ordinal(esk7_0))). % 0.22/0.42 cnf(i_0_78, plain, (ordinal(esk11_0))). % 0.22/0.42 cnf(i_0_96, plain, (ordinal(esk14_0))). % 0.22/0.42 cnf(i_0_113, plain, (ordinal(esk19_0))). % 0.22/0.42 cnf(i_0_124, plain, (ordinal(esk22_0))). % 0.22/0.42 cnf(i_0_38, plain, (epsilon_transitive(empty_set))). % 0.22/0.42 cnf(i_0_57, plain, (epsilon_transitive(esk2_0))). % 0.22/0.42 cnf(i_0_68, plain, (epsilon_transitive(esk6_0))). % 0.22/0.42 cnf(i_0_72, plain, (epsilon_transitive(esk7_0))). % 0.22/0.42 cnf(i_0_80, plain, (epsilon_transitive(esk11_0))). % 0.22/0.42 cnf(i_0_98, plain, (epsilon_transitive(esk14_0))). % 0.22/0.42 cnf(i_0_115, plain, (epsilon_transitive(esk19_0))). % 0.22/0.42 cnf(i_0_126, plain, (epsilon_transitive(esk22_0))). % 0.22/0.42 cnf(i_0_37, plain, (epsilon_connected(empty_set))). % 0.22/0.42 cnf(i_0_56, plain, (epsilon_connected(esk2_0))). % 0.22/0.42 cnf(i_0_67, plain, (epsilon_connected(esk6_0))). % 0.22/0.42 cnf(i_0_71, plain, (epsilon_connected(esk7_0))). % 0.22/0.42 cnf(i_0_79, plain, (epsilon_connected(esk11_0))). % 0.22/0.42 cnf(i_0_97, plain, (epsilon_connected(esk14_0))). % 0.22/0.42 cnf(i_0_114, plain, (epsilon_connected(esk19_0))). % 0.22/0.42 cnf(i_0_125, plain, (epsilon_connected(esk22_0))). % 0.22/0.42 cnf(i_0_33, plain, (empty(empty_set))). % 0.22/0.42 cnf(i_0_74, plain, (empty(esk8_0))). % 0.22/0.42 cnf(i_0_77, plain, (empty(esk10_0))). % 0.22/0.42 cnf(i_0_94, plain, (empty(esk13_0))). % 0.22/0.42 cnf(i_0_99, plain, (empty(esk14_0))). % 0.22/0.42 cnf(i_0_116, plain, (empty(esk19_0))). % 0.22/0.42 cnf(i_0_41, plain, (function(empty_set))). % 0.22/0.42 cnf(i_0_62, plain, (function(esk4_0))). % 0.22/0.42 cnf(i_0_64, plain, (function(esk5_0))). % 0.22/0.42 cnf(i_0_93, plain, (function(esk13_0))). % 0.22/0.42 cnf(i_0_101, plain, (function(esk14_0))). % 0.22/0.42 cnf(i_0_105, plain, (function(esk15_0))). % 0.22/0.42 cnf(i_0_122, plain, (function(esk21_0))). % 0.22/0.42 cnf(i_0_130, plain, (function(esk24_0))). % 0.22/0.42 cnf(i_0_134, plain, (function(esk25_0))). % 0.22/0.42 cnf(i_0_136, plain, (function(esk26_0))). % 0.22/0.42 cnf(i_0_32, plain, (relation(empty_set))). % 0.22/0.42 cnf(i_0_63, plain, (relation(esk4_0))). % 0.22/0.42 cnf(i_0_65, plain, (relation(esk5_0))). % 0.22/0.42 cnf(i_0_73, plain, (relation(esk8_0))). % 0.22/0.42 cnf(i_0_95, plain, (relation(esk13_0))). % 0.22/0.42 cnf(i_0_102, plain, (relation(esk14_0))). % 0.22/0.42 cnf(i_0_106, plain, (relation(esk15_0))). % 0.22/0.42 cnf(i_0_107, plain, (relation(esk16_0))). % 0.22/0.42 cnf(i_0_123, plain, (relation(esk21_0))). % 0.22/0.42 cnf(i_0_129, plain, (relation(esk23_0))). % 0.22/0.42 cnf(i_0_132, plain, (relation(esk24_0))). % 0.22/0.42 cnf(i_0_135, plain, (relation(esk25_0))). % 0.22/0.42 cnf(i_0_138, plain, (relation(esk26_0))). % 0.22/0.42 cnf(i_0_54, plain, (natural(esk2_0))). % 0.22/0.42 cnf(i_0_112, plain, (natural(esk19_0))). % 0.22/0.42 cnf(i_0_40, plain, (one_to_one(empty_set))). % 0.22/0.42 cnf(i_0_100, plain, (one_to_one(esk14_0))). % 0.22/0.42 cnf(i_0_121, plain, (one_to_one(esk21_0))). % 0.22/0.42 cnf(i_0_31, plain, (relation_empty_yielding(empty_set))). % 0.22/0.42 cnf(i_0_128, plain, (relation_empty_yielding(esk23_0))). % 0.22/0.42 cnf(i_0_131, plain, (relation_empty_yielding(esk24_0))). % 0.22/0.42 cnf(i_0_61, plain, (function_yielding(esk4_0))). % 0.22/0.42 cnf(i_0_69, plain, (being_limit_ordinal(esk7_0))). % 0.22/0.42 cnf(i_0_104, plain, (transfinite_sequence(esk15_0))). % 0.22/0.42 cnf(i_0_133, plain, (transfinite_sequence(esk25_0))). % 0.22/0.42 cnf(i_0_103, plain, (ordinal_yielding(esk15_0))). % 0.22/0.42 cnf(i_0_137, plain, (relation_non_empty(esk26_0))). % 0.22/0.42 cnf(i_0_83, plain, (finite(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_150, plain, (set_difference(empty_set,X1)=empty_set)). % 0.22/0.42 cnf(i_0_85, plain, (ordinal(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_141, plain, (set_union2(X1,empty_set)=X1)). % 0.22/0.42 cnf(i_0_147, plain, (set_difference(X1,empty_set)=X1)). % 0.22/0.42 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.22/0.42 cnf(i_0_87, plain, (epsilon_transitive(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_86, plain, (epsilon_connected(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_91, plain, (empty(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_139, plain, (subset(X1,X1))). % 0.22/0.42 cnf(i_0_109, plain, (empty(esk17_1(X1)))). % 0.22/0.42 cnf(i_0_89, plain, (function(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_90, plain, (relation(esk12_1(X1)))). % 0.22/0.42 cnf(i_0_84, plain, (natural(esk1# Child (17577) has found a proof. % 0.22/0.42 % 0.22/0.42 # Proof search is over... % 0.22/0.42 # Freeing feature tree %------------------------------------------------------------------------------