%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU027+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 : n022.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 09:23:31 EDT 2022 % Result : Theorem 7.53s 1.34s % Output : CNFRefutation 7.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0. % 0.14/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.14/0.34 % Computer : n022.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jun 20 13:23:31 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.37 # No SInE strategy applied % 0.20/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y % 0.20/0.37 # and selection function SelectMaxLComplexAvoidPosPred. % 0.20/0.37 # % 0.20/0.37 # Number of axioms: 82 Number of unprocessed: 82 % 0.20/0.37 # Tableaux proof search. % 0.20/0.37 # APR header successfully linked. % 0.20/0.37 # Hello from C++ % 0.20/0.37 # The folding up rule is enabled... % 0.20/0.37 # Local unification is enabled... % 0.20/0.37 # Any saturation attempts will use folding labels... % 0.20/0.37 # 82 beginning clauses after preprocessing and clausification % 0.20/0.37 # Creating start rules for all 10 conjectures. % 0.20/0.37 # There are 10 start rule candidates: % 0.20/0.37 # Found 35 unit axioms. % 0.20/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.20/0.37 # 10 start rule tableaux created. % 0.20/0.37 # 47 extension rule candidate clauses % 0.20/0.37 # 35 unit axiom clauses % 0.20/0.37 % 0.20/0.37 # Requested 8, 32 cores available to the main process. % 7.53/1.34 # There were 2 total branch saturation attempts. % 7.53/1.34 # There were 0 of these attempts blocked. % 7.53/1.34 # There were 0 deferred branch saturation attempts. % 7.53/1.34 # There were 0 free duplicated saturations. % 7.53/1.34 # There were 2 total successful branch saturations. % 7.53/1.34 # There were 0 successful branch saturations in interreduction. % 7.53/1.34 # There were 0 successful branch saturations on the branch. % 7.53/1.34 # There were 2 successful branch saturations after the branch. % 7.53/1.34 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.53/1.34 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.53/1.34 # Begin clausification derivation % 7.53/1.34 % 7.53/1.34 # End clausification derivation % 7.53/1.34 # Begin listing active clauses obtained from FOF to CNF conversion % 7.53/1.34 cnf(i_0_18, plain, (empty(empty_set))). % 7.53/1.34 cnf(i_0_20, plain, (empty(empty_set))). % 7.53/1.34 cnf(i_0_22, plain, (empty(empty_set))). % 7.53/1.34 cnf(i_0_32, plain, (empty(esk6_0))). % 7.53/1.34 cnf(i_0_35, plain, (empty(esk8_0))). % 7.53/1.34 cnf(i_0_37, plain, (empty(esk9_0))). % 7.53/1.34 cnf(i_0_29, plain, (function(esk5_0))). % 7.53/1.34 cnf(i_0_36, plain, (function(esk9_0))). % 7.53/1.34 cnf(i_0_45, plain, (function(esk13_0))). % 7.53/1.34 cnf(i_0_78, negated_conjecture, (function(esk19_0))). % 7.53/1.34 cnf(i_0_76, negated_conjecture, (function(esk20_0))). % 7.53/1.34 cnf(i_0_17, plain, (relation(empty_set))). % 7.53/1.34 cnf(i_0_21, plain, (relation(empty_set))). % 7.53/1.34 cnf(i_0_30, plain, (relation(esk5_0))). % 7.53/1.34 cnf(i_0_31, plain, (relation(esk6_0))). % 7.53/1.34 cnf(i_0_38, plain, (relation(esk9_0))). % 7.53/1.34 cnf(i_0_39, plain, (relation(esk10_0))). % 7.53/1.34 cnf(i_0_46, plain, (relation(esk13_0))). % 7.53/1.34 cnf(i_0_48, plain, (relation(esk14_0))). % 7.53/1.34 cnf(i_0_79, negated_conjecture, (relation(esk19_0))). % 7.53/1.34 cnf(i_0_77, negated_conjecture, (relation(esk20_0))). % 7.53/1.34 cnf(i_0_44, plain, (one_to_one(esk13_0))). % 7.53/1.34 cnf(i_0_75, negated_conjecture, (one_to_one(esk19_0))). % 7.53/1.34 cnf(i_0_16, plain, (relation_empty_yielding(empty_set))). % 7.53/1.34 cnf(i_0_47, plain, (relation_empty_yielding(esk14_0))). % 7.53/1.34 cnf(i_0_70, negated_conjecture, (function_inverse(esk19_0)!=esk20_0)). % 7.53/1.34 cnf(i_0_40, plain, (~empty(esk10_0))). % 7.53/1.34 cnf(i_0_43, plain, (~empty(esk12_0))). % 7.53/1.34 cnf(i_0_74, negated_conjecture, (relation_rng(esk20_0)=relation_dom(esk19_0))). % 7.53/1.34 cnf(i_0_73, negated_conjecture, (relation_rng(esk19_0)=relation_dom(esk20_0))). % 7.53/1.34 cnf(i_0_80, plain, (X1=empty_set|~empty(X1))). % 7.53/1.34 cnf(i_0_41, plain, (empty(esk11_1(X1)))). % 7.53/1.34 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 7.53/1.34 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 7.53/1.34 cnf(i_0_49, plain, (subset(X1,X1))). % 7.53/1.34 cnf(i_0_82, plain, (X1=X2|~empty(X2)|~empty(X1))). % 7.53/1.34 cnf(i_0_19, plain, (~empty(powerset(X1)))). % 7.53/1.34 cnf(i_0_28, plain, (empty(relation_rng(X1))|~empty(X1))). % 7.53/1.34 cnf(i_0_26, plain, (empty(relation_dom(X1))|~empty(X1))). % 7.53/1.34 cnf(i_0_27, plain, (relation(relation_rng(X1))|~empty(X1))). % 7.53/1.34 cnf(i_0_25, plain, (relation(relation_dom(X1))|~empty(X1))). % 7.53/1.34 cnf(i_0_15, plain, (element(esk4_1(X1),X1))). % 7.53/1.34 cnf(i_0_33, plain, (empty(X1)|~empty(esk7_1(X1)))). % 7.53/1.34 cnf(i_0_13, plain, (function(function_inverse(X1))|~function(X1)|~relation(X1))). % 7.53/1.34 cnf(i_0_14, plain, (relation(function_inverse(X1))|~function(X1)|~relation(X1))). % 7.53/1.34 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))). % 7.53/1.34 cnf(i_0_42, plain, (element(esk11_1(X1),powerset(X1)))). % 7.53/1.34 cnf(i_0_24, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 7.53/1.34 cnf(i_0_23, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 7.53/1.34 cnf(i_0_81, plain, (~empty(X2)|~in(X1,X2))). % 7.53/1.34 cnf(i_0_34, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))). % 7.53/1.34 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))). % 7.53/1.34 cnf(i_0_51, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 7.53/1.34 cnf(i_0_52, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 7.53/1.34 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))). % 7.53/1.34 cnf(i_0_53, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 7.53/1.34 cnf(i_0_68, plain, (relation_dom(X1)=relation_rng(X2)|X1!=function_inverse(X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X2))). % 7.53/1.34 cnf(i_0_69, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 7.53/1.34 cnf(i_0_54, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 7.53/1.34 cnf(i_0_71, negated_conjecture, (apply(esk19_0,X2)=X1|apply(esk20_0,X1)!=X2|~in(X2,relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))). % 7.53/1.34 cnf(i_0_72, negated_conjecture, (apply(esk20_0,X2)=X1|apply(esk19_0,X1)!=X2|~in(X2,relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))). % 7.53/1.34 cnf(i_0_84, plain, (X1=X2|in(esk21_2(X1,X2),relation_dom(X1))|relation_dom(X1)!=relation_dom(X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))). % 7.53/1.34 cnf(i_0_10, plain, (in(X3,X4)|X4!=relation_rng(X2)|X3!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2)))). % 7.53/1.34 cnf(i_0_8, plain, (X2=relation_rng(X1)|in(esk2_2(X1,X2),X2)|in(esk3_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1))). % 7.53/1.34 cnf(i_0_7, plain, (X2=relation_rng(X1)|apply(X1,esk3_2(X1,X2))=esk2_2(X1,X2)|in(esk2_2(X1,X2),X2)|~function(X1)|~relation(X1))). % 7.53/1.34 cnf(i_0_66, plain, (X1=apply(X2,X3)|X4!=function_inverse(X2)|X3!=apply(X4,X1)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X2)|~in(X1,relation_rng(X2)))). % 7.53/1.34 cnf(i_0_64, plain, (X1=apply(X2,X3)|X2!=function_inverse(X4)|X3!=apply(X4,X1)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X4)|~in(X1,relation_dom(X4)))). % 7.53/1.34 cnf(i_0_65, plain, (in(X1,relation_rng(X2))|X4!=function_inverse(X2)|X1!=apply(X2,X3)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X2)|~in(X3,relation_dom(X2)))). % 7.53/1.34 cnf(i_0_67, plain, (in(X1,relation_dom(X2))|X4!=function_inverse(X2)|X1!=apply(X4,X3)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X2)|~in(X3,relation_rng(X2)))). % 7.53/1.34 cnf(i_0_63, plain, (X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))). % 7.53/1.34 cnf(i_0_60, plain, (X2=function_inverse(X1)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))). % 7.53/1.34 cnf(i_0_62, plain, (X2=function_inverse(X1)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))). % 7.53/1.34 cnf(i_0_9, plain, (X2=relation_rng(X1)|esk2_2(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~in(esk2_2(X1,X2),X2))). % 7.53/1.34 cnf(i_0_59, plain, (X2=function_inverse(X1)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))). % 7.53/1.34 cnf(i_0_11, plain, (apply(X2,esk1_3(X2,X3,X1))=X1|X3!=relation_rng(X2)|~function(X2)|~relation(X2)|~in(X1,X3))). % 7.53/1.34 cnf(i_0_83, plain, (X1=X2|relation_dom(X1)!=relation_dom(X2)|apply(X1,esk21_2(X1,X2))!=apply(X2,esk21_2(X1,X2))|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))). % 7.53/1.34 cnf(i_0_12, plain, (in(esk1_3(X1,X2,X3),relation_dom(X1))|X2!=relation_rng(X1)|~function(X1)|~relation(X1)|~in(X3,X2))). % 7.53/1.34 cnf(i_0_61, plain, (X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk17_2(X1,X2),relation_rng(X1)))). % 7.53/1.34 cnf(i_0_57, plain, (X2=function_inverse(X1)|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))). % 7.53/1.34 cnf(i_0_58, plain, (X2=function_inverse(X1)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk17_2(X1,X2),relation_rng(X1)))). % 7.53/1.34 cnf(i_0_56, plain, (X2=function_inverse(X1)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))). % 7.53/1.34 cnf(i_0_55, plain, (X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk16_2(X1,X2),relation_dom(X1))|~in(esk17_2(X1,X2),relation_rng(X1)))). % 7.53/1.34 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 7.53/1.34 # Begin printing tableau % 7.53/1.34 # Found 6 steps % 7.53/1.34 cnf(i_0_79, negated_conjecture, (relation(esk19_0)), inference(start_rule)). % 7.53/1.34 cnf(i_0_98, plain, (relation(esk19_0)), inference(extension_rule, [i_0_13])). % 7.53/1.34 cnf(i_0_121, plain, (~function(esk19_0)), inference(closure_rule, [i_0_78])). % 7.53/1.34 cnf(i_0_120, plain, (function(function_inverse(esk19_0))), inference(extension_rule, [i_0_14])). % 7.53/1.34 cnf(i_0_142, plain, (relation(function_inverse(function_inverse(esk19_0)))), inference(etableau_closure_rule, [i_0_142, ...])). % 7.53/1.34 cnf(i_0_144, plain, (~relation(function_inverse(esk19_0))), inference(etableau_closure_rule, [i_0_144, ...])). % 7.53/1.34 # End printing tableau % 7.53/1.34 # SZS output end % 7.53/1.34 # Branches closed with saturation will be marked with an "s" % 7.53/1.35 # Child (22374) has found a proof. % 7.53/1.35 % 7.53/1.35 # Proof search is over... % 7.53/1.35 # Freeing feature tree %------------------------------------------------------------------------------