%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU077+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 : n021.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 09:23:43 EDT 2022 % Result : Theorem 1.98s 0.64s % Output : CNFRefutation 1.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.15/0.35 % Computer : n021.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Sun Jun 19 19:27:18 EDT 2022 % 0.15/0.35 % CPUTime : % 0.15/0.39 # No SInE strategy applied % 0.15/0.39 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y % 0.15/0.39 # and selection function SelectMaxLComplexAvoidPosPred. % 0.15/0.39 # % 0.15/0.39 # Number of axioms: 68 Number of unprocessed: 68 % 0.15/0.39 # Tableaux proof search. % 0.15/0.39 # APR header successfully linked. % 0.15/0.39 # Hello from C++ % 0.15/0.39 # The folding up rule is enabled... % 0.15/0.39 # Local unification is enabled... % 0.15/0.39 # Any saturation attempts will use folding labels... % 0.15/0.39 # 68 beginning clauses after preprocessing and clausification % 0.15/0.39 # Creating start rules for all 5 conjectures. % 0.15/0.39 # There are 5 start rule candidates: % 0.15/0.39 # Found 32 unit axioms. % 0.15/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.15/0.39 # 5 start rule tableaux created. % 0.15/0.39 # 36 extension rule candidate clauses % 0.15/0.39 # 32 unit axiom clauses % 0.15/0.39 % 0.15/0.39 # Requested 8, 32 cores available to the main process. % 0.15/0.39 # There are not enough tableaux to fork, creating more from the initial 5 % 0.15/0.39 # Returning from population with 23 new_tableaux and 0 remaining starting tableaux. % 0.15/0.39 # We now have 23 tableaux to operate on % 1.98/0.64 # There were 4 total branch saturation attempts. % 1.98/0.64 # There were 0 of these attempts blocked. % 1.98/0.64 # There were 0 deferred branch saturation attempts. % 1.98/0.64 # There were 0 free duplicated saturations. % 1.98/0.64 # There were 4 total successful branch saturations. % 1.98/0.64 # There were 0 successful branch saturations in interreduction. % 1.98/0.64 # There were 0 successful branch saturations on the branch. % 1.98/0.64 # There were 4 successful branch saturations after the branch. % 1.98/0.64 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.98/0.64 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.98/0.64 # Begin clausification derivation % 1.98/0.64 % 1.98/0.64 # End clausification derivation % 1.98/0.64 # Begin listing active clauses obtained from FOF to CNF conversion % 1.98/0.64 cnf(i_0_25, plain, (empty(empty_set))). % 1.98/0.64 cnf(i_0_27, plain, (empty(empty_set))). % 1.98/0.64 cnf(i_0_29, plain, (empty(empty_set))). % 1.98/0.64 cnf(i_0_39, plain, (empty(esk8_0))). % 1.98/0.64 cnf(i_0_42, plain, (empty(esk10_0))). % 1.98/0.64 cnf(i_0_44, plain, (empty(esk11_0))). % 1.98/0.64 cnf(i_0_36, plain, (function(esk7_0))). % 1.98/0.64 cnf(i_0_43, plain, (function(esk11_0))). % 1.98/0.64 cnf(i_0_52, plain, (function(esk15_0))). % 1.98/0.64 cnf(i_0_60, negated_conjecture, (function(esk19_0))). % 1.98/0.64 cnf(i_0_24, plain, (relation(empty_set))). % 1.98/0.64 cnf(i_0_28, plain, (relation(empty_set))). % 1.98/0.64 cnf(i_0_37, plain, (relation(esk7_0))). % 1.98/0.64 cnf(i_0_38, plain, (relation(esk8_0))). % 1.98/0.64 cnf(i_0_45, plain, (relation(esk11_0))). % 1.98/0.64 cnf(i_0_46, plain, (relation(esk12_0))). % 1.98/0.64 cnf(i_0_53, plain, (relation(esk15_0))). % 1.98/0.64 cnf(i_0_55, plain, (relation(esk16_0))). % 1.98/0.64 cnf(i_0_61, negated_conjecture, (relation(esk19_0))). % 1.98/0.64 cnf(i_0_51, plain, (one_to_one(esk15_0))). % 1.98/0.64 cnf(i_0_23, plain, (relation_empty_yielding(empty_set))). % 1.98/0.64 cnf(i_0_54, plain, (relation_empty_yielding(esk16_0))). % 1.98/0.64 cnf(i_0_47, plain, (~empty(esk12_0))). % 1.98/0.64 cnf(i_0_50, plain, (~empty(esk14_0))). % 1.98/0.64 cnf(i_0_68, plain, (X1=empty_set|~empty(X1))). % 1.98/0.64 cnf(i_0_48, plain, (empty(esk13_1(X1)))). % 1.98/0.64 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 1.98/0.64 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 1.98/0.64 cnf(i_0_56, plain, (subset(X1,X1))). % 1.98/0.64 cnf(i_0_58, negated_conjecture, (subset(esk17_0,relation_rng(esk19_0)))). % 1.98/0.64 cnf(i_0_70, plain, (X1=X2|~empty(X2)|~empty(X1))). % 1.98/0.64 cnf(i_0_26, plain, (~empty(powerset(X1)))). % 1.98/0.64 cnf(i_0_33, plain, (empty(relation_dom(X1))|~empty(X1))). % 1.98/0.64 cnf(i_0_35, plain, (empty(relation_rng(X1))|~empty(X1))). % 1.98/0.64 cnf(i_0_32, plain, (relation(relation_dom(X1))|~empty(X1))). % 1.98/0.64 cnf(i_0_34, plain, (relation(relation_rng(X1))|~empty(X1))). % 1.98/0.64 cnf(i_0_57, negated_conjecture, (~subset(esk17_0,esk18_0))). % 1.98/0.64 cnf(i_0_22, plain, (element(esk6_1(X1),X1))). % 1.98/0.64 cnf(i_0_40, plain, (empty(X1)|~empty(esk9_1(X1)))). % 1.98/0.64 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))). % 1.98/0.64 cnf(i_0_49, plain, (element(esk13_1(X1),powerset(X1)))). % 1.98/0.64 cnf(i_0_30, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 1.98/0.64 cnf(i_0_31, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 1.98/0.64 cnf(i_0_69, plain, (~empty(X2)|~in(X1,X2))). % 1.98/0.64 cnf(i_0_41, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))). % 1.98/0.64 cnf(i_0_62, plain, (element(X1,X2)|~in(X1,X2))). % 1.98/0.64 cnf(i_0_63, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 1.98/0.64 cnf(i_0_64, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 1.98/0.64 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))). % 1.98/0.64 cnf(i_0_65, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 1.98/0.64 cnf(i_0_59, negated_conjecture, (subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0)))). % 1.98/0.64 cnf(i_0_14, plain, (subset(X1,X2)|in(esk2_2(X1,X2),X1))). % 1.98/0.64 cnf(i_0_15, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))). % 1.98/0.64 cnf(i_0_67, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 1.98/0.64 cnf(i_0_66, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 1.98/0.64 cnf(i_0_13, plain, (subset(X1,X2)|~in(esk2_2(X1,X2),X2))). % 1.98/0.64 cnf(i_0_12, plain, (in(X1,relation_dom(X2))|X3!=relation_inverse_image(X2,X4)|~function(X2)|~relation(X2)|~in(X1,X3))). % 1.98/0.64 cnf(i_0_19, plain, (in(X3,X4)|X4!=relation_rng(X2)|X3!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2)))). % 1.98/0.64 cnf(i_0_11, plain, (in(apply(X1,X2),X3)|X4!=relation_inverse_image(X1,X3)|~function(X1)|~relation(X1)|~in(X2,X4))). % 1.98/0.64 cnf(i_0_17, plain, (X2=relation_rng(X1)|in(esk4_2(X1,X2),X2)|in(esk5_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1))). % 1.98/0.64 cnf(i_0_16, plain, (X2=relation_rng(X1)|apply(X1,esk5_2(X1,X2))=esk4_2(X1,X2)|in(esk4_2(X1,X2),X2)|~function(X1)|~relation(X1))). % 1.98/0.64 cnf(i_0_10, plain, (in(X1,X4)|X4!=relation_inverse_image(X2,X3)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2))|~in(apply(X2,X1),X3))). % 1.98/0.64 cnf(i_0_18, plain, (X2=relation_rng(X1)|esk4_2(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~in(esk4_2(X1,X2),X2))). % 1.98/0.64 cnf(i_0_20, plain, (apply(X2,esk3_3(X2,X3,X1))=X1|X3!=relation_rng(X2)|~function(X2)|~relation(X2)|~in(X1,X3))). % 1.98/0.64 cnf(i_0_21, plain, (in(esk3_3(X1,X2,X3),relation_dom(X1))|X2!=relation_rng(X1)|~function(X1)|~relation(X1)|~in(X3,X2))). % 1.98/0.64 cnf(i_0_8, plain, (X3=relation_inverse_image(X1,X2)|in(esk1_3(X1,X2,X3),X3)|in(esk1_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1))). % 1.98/0.64 cnf(i_0_7, plain, (X3=relation_inverse_image(X1,X2)|in(esk1_3(X1,X2,X3),X3)|in(apply(X1,esk1_3(X1,X2,X3)),X2)|~function(X1)|~relation(X1))). % 1.98/0.64 cnf(i_0_9, plain, (X3=relation_inverse_image(X1,X2)|~function(X1)|~relation(X1)|~in(esk1_3(X1,X2,X3),X3)|~in(esk1_3(X1,X2,X3),relation_dom(X1))|~in(apply(X1,esk1_3(X1,X2,X3)),X2))). % 1.98/0.64 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 1.98/0.64 # Begin printing tableau % 1.98/0.64 # Found 18 steps % 1.98/0.64 cnf(i_0_61, negated_conjecture, (relation(esk19_0)), inference(start_rule)). % 1.98/0.64 cnf(i_0_74, plain, (relation(esk19_0)), inference(extension_rule, [i_0_10])). % 1.98/0.64 cnf(i_0_524, plain, (~function(esk19_0)), inference(closure_rule, [i_0_60])). % 1.98/0.64 cnf(i_0_522, plain, (in(esk6_1(relation_dom(esk19_0)),empty_set)), inference(extension_rule, [i_0_69])). % 1.98/0.64 cnf(i_0_589, plain, (~empty(empty_set)), inference(closure_rule, [i_0_25])). % 1.98/0.64 cnf(i_0_523, plain, (relation_inverse_image(esk19_0,relation_dom(esk7_0))!=empty_set), inference(extension_rule, [i_0_68])). % 1.98/0.64 cnf(i_0_592, plain, (~empty(relation_inverse_image(esk19_0,relation_dom(esk7_0)))), inference(extension_rule, [i_0_40])). % 1.98/0.64 cnf(i_0_526, plain, (~in(esk6_1(relation_dom(esk19_0)),relation_dom(esk19_0))), inference(extension_rule, [i_0_63])). % 1.98/0.64 cnf(i_0_641, plain, (~element(esk6_1(relation_dom(esk19_0)),relation_dom(esk19_0))), inference(closure_rule, [i_0_22])). % 1.98/0.64 cnf(i_0_639, plain, (empty(relation_dom(esk19_0))), inference(etableau_closure_rule, [i_0_639, ...])). % 1.98/0.64 cnf(i_0_527, plain, (~in(apply(esk19_0,esk6_1(relation_dom(esk19_0))),relation_dom(esk7_0))), inference(extension_rule, [i_0_12])). % 1.98/0.64 cnf(i_0_820, plain, (~function(esk7_0)), inference(closure_rule, [i_0_36])). % 1.98/0.64 cnf(i_0_821, plain, (~relation(esk7_0)), inference(closure_rule, [i_0_37])). % 1.98/0.64 cnf(i_0_609, plain, (~empty(esk9_1(relation_inverse_image(esk19_0,relation_dom(esk7_0))))), inference(etableau_closure_rule, [i_0_609, ...])). % 1.98/0.64 cnf(i_0_819, plain, (empty_set!=relation_inverse_image(esk7_0,X5)), inference(extension_rule, [i_0_70])). % 1.98/0.64 cnf(i_0_3680, plain, (~empty(empty_set)), inference(closure_rule, [i_0_25])). % 1.98/0.64 cnf(i_0_822, plain, (~in(apply(esk19_0,esk6_1(relation_dom(esk19_0))),empty_set)), inference(etableau_closure_rule, [i_0_822, ...])). % 1.98/0.64 cnf(i_0_3679, plain, (~empty(relation_inverse_image(esk7_0,X5))), inference(etableau_closure_rule, [i_0_3679, ...])). % 1.98/0.64 # End printing tableau % 1.98/0.64 # SZS output end % 1.98/0.64 # Branches closed with saturation will be marked with an "s" % 1.98/0.64 # Child (23791) has found a proof. % 1.98/0.64 % 1.98/0.64 # Proof search is over... % 1.98/0.64 # Freeing feature tree %------------------------------------------------------------------------------