%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU220+1 : TPTP v8.1.0. Released v3.3.0. % 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 : n008.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 09:24:54 EDT 2022 % Result : Theorem 0.20s 0.39s % Output : CNFRefutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU220+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n008.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 : Mon Jun 20 01:38:52 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.38 # No SInE strategy applied % 0.20/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN % 0.20/0.38 # and selection function SelectComplexExceptUniqMaxHorn. % 0.20/0.38 # % 0.20/0.38 # Presaturation interreduction done % 0.20/0.38 # Number of axioms: 69 Number of unprocessed: 64 % 0.20/0.38 # Tableaux proof search. % 0.20/0.38 # APR header successfully linked. % 0.20/0.38 # Hello from C++ % 0.20/0.38 # The folding up rule is enabled... % 0.20/0.38 # Local unification is enabled... % 0.20/0.38 # Any saturation attempts will use folding labels... % 0.20/0.38 # 64 beginning clauses after preprocessing and clausification % 0.20/0.38 # Creating start rules for all 5 conjectures. % 0.20/0.38 # There are 5 start rule candidates: % 0.20/0.38 # Found 24 unit axioms. % 0.20/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.20/0.38 # 5 start rule tableaux created. % 0.20/0.38 # 40 extension rule candidate clauses % 0.20/0.38 # 24 unit axiom clauses % 0.20/0.38 % 0.20/0.38 # Requested 8, 32 cores available to the main process. % 0.20/0.38 # There are not enough tableaux to fork, creating more from the initial 5 % 0.20/0.38 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux. % 0.20/0.38 # We now have 12 tableaux to operate on % 0.20/0.39 # There were 1 total branch saturation attempts. % 0.20/0.39 # There were 0 of these attempts blocked. % 0.20/0.39 # There were 0 deferred branch saturation attempts. % 0.20/0.39 # There were 0 free duplicated saturations. % 0.20/0.39 # There were 1 total successful branch saturations. % 0.20/0.39 # There were 0 successful branch saturations in interreduction. % 0.20/0.39 # There were 0 successful branch saturations on the branch. % 0.20/0.39 # There were 1 successful branch saturations after the branch. % 0.20/0.39 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.39 # Begin clausification derivation % 0.20/0.39 % 0.20/0.39 # End clausification derivation % 0.20/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.20/0.39 cnf(i_0_72, negated_conjecture, (function(esk15_0))). % 0.20/0.39 cnf(i_0_73, negated_conjecture, (relation(esk15_0))). % 0.20/0.39 cnf(i_0_71, negated_conjecture, (one_to_one(esk15_0))). % 0.20/0.39 cnf(i_0_70, negated_conjecture, (in(esk14_0,relation_rng(esk15_0)))). % 0.20/0.39 cnf(i_0_20, plain, (empty(empty_set))). % 0.20/0.39 cnf(i_0_34, plain, (function(esk2_0))). % 0.20/0.39 cnf(i_0_39, plain, (function(esk5_0))). % 0.20/0.39 cnf(i_0_46, plain, (function(esk8_0))). % 0.20/0.39 cnf(i_0_19, plain, (relation(empty_set))). % 0.20/0.39 cnf(i_0_35, plain, (relation(esk2_0))). % 0.20/0.39 cnf(i_0_36, plain, (relation(esk3_0))). % 0.20/0.39 cnf(i_0_37, plain, (empty(esk3_0))). % 0.20/0.39 cnf(i_0_38, plain, (empty(esk4_0))). % 0.20/0.39 cnf(i_0_41, plain, (relation(esk5_0))). % 0.20/0.39 cnf(i_0_42, plain, (relation(esk6_0))). % 0.20/0.39 cnf(i_0_47, plain, (relation(esk8_0))). % 0.20/0.39 cnf(i_0_49, plain, (relation(esk9_0))). % 0.20/0.39 cnf(i_0_45, plain, (one_to_one(esk8_0))). % 0.20/0.39 cnf(i_0_40, plain, (empty(esk5_0))). % 0.20/0.39 cnf(i_0_18, plain, (relation_empty_yielding(empty_set))). % 0.20/0.39 cnf(i_0_48, plain, (relation_empty_yielding(esk9_0))). % 0.20/0.39 cnf(i_0_15, plain, (element(esk1_1(X1),X1))). % 0.20/0.39 cnf(i_0_43, plain, (~empty(esk6_0))). % 0.20/0.39 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.20/0.39 cnf(i_0_69, negated_conjecture, (apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))!=esk14_0|apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0)!=esk14_0)). % 0.20/0.39 cnf(i_0_75, plain, (~empty(X1)|~in(X2,X1))). % 0.20/0.39 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.20/0.39 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.20/0.39 cnf(i_0_74, plain, (X1=empty_set|~empty(X1))). % 0.20/0.39 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.20/0.39 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.20/0.39 cnf(i_0_30, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_10, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_11, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_31, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_28, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_76, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.20/0.39 cnf(i_0_27, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.20/0.39 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))). % 0.20/0.39 cnf(i_0_29, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.20/0.39 cnf(i_0_13, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.20/0.39 cnf(i_0_16, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.20/0.39 cnf(i_0_32, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.20/0.39 cnf(i_0_67, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_21, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.20/0.39 cnf(i_0_68, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_17, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.20/0.39 cnf(i_0_52, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.20/0.39 cnf(i_0_33, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.20/0.39 cnf(i_0_51, plain, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(X3,relation_dom(X1)))). % 0.20/0.39 cnf(i_0_64, plain, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))). % 0.20/0.39 cnf(i_0_63, plain, (in(apply(X1,X2),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))). % 0.20/0.39 cnf(i_0_65, plain, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))). % 0.20/0.39 cnf(i_0_62, plain, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))). % 0.20/0.39 cnf(i_0_54, plain, (apply(X1,esk13_2(X1,X2))=esk12_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk11_2(X1,X2))!=esk10_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk11_2(X1,X2),relation_dom(X1)))). % 0.20/0.39 cnf(i_0_61, plain, (X1=function_inverse(X2)|in(esk13_2(X2,X1),relation_dom(X2))|in(esk10_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.20/0.39 cnf(i_0_60, plain, (apply(X1,esk13_2(X1,X2))=esk12_2(X1,X2)|X2=function_inverse(X1)|in(esk10_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.20/0.39 cnf(i_0_59, plain, (X1=function_inverse(X2)|in(esk10_2(X2,X1),relation_rng(X2))|apply(X1,esk12_2(X2,X1))!=esk13_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk12_2(X2,X1),relation_rng(X2)))). % 0.20/0.39 cnf(i_0_55, plain, (X1=function_inverse(X2)|in(esk13_2(X2,X1),relation_dom(X2))|apply(X2,esk11_2(X2,X1))!=esk10_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk11_2(X2,X1),relation_dom(X2)))). % 0.20/0.39 cnf(i_0_56, plain, (apply(X1,esk10_2(X2,X1))=esk11_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk12_2(X2,X1))!=esk13_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk12_2(X2,X1),relation_rng(X2)))). % 0.20/0.39 cnf(i_0_58, plain, (apply(X1,esk10_2(X2,X1))=esk11_2(X2,X1)|X1=function_inverse(X2)|in(esk13_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.20/0.39 cnf(i_0_57, plain, (apply(X1,esk13_2(X1,X2))=esk12_2(X1,X2)|apply(X2,esk10_2(X1,X2))=esk11_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.20/0.39 cnf(i_0_53, plain, (X1=function_inverse(X2)|apply(X2,esk11_2(X2,X1))!=esk10_2(X2,X1)|apply(X1,esk12_2(X2,X1))!=esk13_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk11_2(X2,X1),relation_dom(X2))|~in(esk12_2(X2,X1),relation_rng(X2)))). % 0.20/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.20/0.39 # Begin printing tableau % 0.20/0.39 # Found 7 steps % 0.20/0.39 cnf(i_0_70, negated_conjecture, (in(esk14_0,relation_rng(esk15_0))), inference(start_rule)). % 0.20/0.39 cnf(i_0_88, plain, (in(esk14_0,relation_rng(esk15_0))), inference(extension_rule, [i_0_64])). % 0.20/0.39 cnf(i_0_533, plain, (~one_to_one(esk15_0)), inference(closure_rule, [i_0_71])). % 0.20/0.39 cnf(i_0_534, plain, (~relation(esk15_0)), inference(closure_rule, [i_0_73])). % 0.20/0.39 cnf(i_0_535, plain, (~function(esk15_0)), inference(closure_rule, [i_0_72])). % 0.20/0.39 cnf(i_0_532, plain, (apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))=esk14_0), inference(extension_rule, [i_0_69])). % 0.20/0.39 cnf(i_0_823, plain, (apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0)!=esk14_0), inference(etableau_closure_rule, [i_0_823, ...])). % 0.20/0.39 # End printing tableau % 0.20/0.39 # SZS output end % 0.20/0.39 # Branches closed with saturation will be marked with an "s" % 0.20/0.39 # There were 1 total branch saturation attempts. % 0.20/0.39 # There were 0 of these attempts blocked. % 0.20/0.39 # There were 0 deferred branch saturation attempts. % 0.20/0.39 # There were 0 free duplicated saturations. % 0.20/0.39 # There were 1 total successful branch saturations. % 0.20/0.39 # There were 0 successful branch saturations in interreduction. % 0.20/0.39 # There were 0 successful branch saturations on the branch. % 0.20/0.39 # There were 1 successful branch saturations after the branch. % 0.20/0.39 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.39 # Begin clausification derivation % 0.20/0.39 % 0.20/0.39 # End clausification derivation % 0.20/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.20/0.39 cnf(i_0_72, negated_conjecture, (function(esk15_0))). % 0.20/0.39 cnf(i_0_73, negated_conjecture, (relation(esk15_0))). % 0.20/0.39 cnf(i_0_71, negated_conjecture, (one_to_one(esk15_0))). % 0.20/0.39 cnf(i_0_70, negated_conjecture, (in(esk14_0,relation_rng(esk15_0)))). % 0.20/0.39 cnf(i_0_20, plain, (empty(empty_set))). % 0.20/0.39 cnf(i_0_34, plain, (function(esk2_0))). % 0.20/0.39 cnf(i_0_39, plain, (function(esk5_0))). % 0.20/0.39 cnf(i_0_46, plain, (function(esk8_0))). % 0.20/0.39 cnf(i_0_19, plain, (relation(empty_set))). % 0.20/0.39 cnf(i_0_35, plain, (relation(esk2_0))). % 0.20/0.39 cnf(i_0_36, plain, (relation(esk3_0))). % 0.20/0.39 cnf(i_0_37, plain, (empty(esk3_0))). % 0.20/0.39 cnf(i_0_38, plain, (empty(esk4_0))). % 0.20/0.39 cnf(i_0_41, plain, (relation(esk5_0))). % 0.20/0.39 cnf(i_0_42, plain, (relation(esk6_0))). % 0.20/0.39 cnf(i_0_47, plain, (relation(esk8_0))). % 0.20/0.39 cnf(i_0_49, plain, (relation(esk9_0))). % 0.20/0.39 cnf(i_0_45, plain, (one_to_one(esk8_0))). % 0.20/0.39 cnf(i_0_40, plain, (empty(esk5_0))). % 0.20/0.39 cnf(i_0_18, plain, (relation_empty_yielding(empty_set))). % 0.20/0.39 cnf(i_0_48, plain, (relation_empty_yielding(esk9_0))). % 0.20/0.39 cnf(i_0_15, plain, (element(esk1_1(X1),X1))). % 0.20/0.39 cnf(i_0_43, plain, (~empty(esk6_0))). % 0.20/0.39 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.20/0.39 cnf(i_0_69, negated_conjecture, (apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))!=esk14_0|apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0)!=esk14_0)). % 0.20/0.39 cnf(i_0_75, plain, (~empty(X1)|~in(X2,X1))). % 0.20/0.39 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.20/0.39 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.20/0.39 cnf(i_0_74, plain, (X1=empty_set|~empty(X1))). % 0.20/0.39 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.20/0.39 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.20/0.39 cnf(i_0_30, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_10, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_11, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_31, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_28, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_76, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.20/0.39 cnf(i_0_27, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.20/0.39 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))). % 0.20/0.39 cnf(i_0_29, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.20/0.39 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.20/0.39 cnf(i_0_13, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.20/0.39 cnf(i_0_16, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.20/0.39 cnf(i_0_32, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.20/0.39 cnf(i_0_67, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_21, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.20/0.39 cnf(i_0_68, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.20/0.39 cnf(i_0_17, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.20/0.40 cnf(i_0_52, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.20/0.40 cnf(i_0_33, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.20/0.40 cnf(i_0_51, plain, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(X3,relation_dom(X1)))). % 0.20/0.40 cnf(i_0_64, plain, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))). % 0.20/0.40 cnf(i_0_63, plain, (in(apply(X1,X2),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))). % 0.20/0.40 cnf(i_0_65, plain, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))). % 0.20/0.40 cnf(i_0_62, plain, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))). % 0.20/0.40 cnf(i_0_54, plain, (apply(X1,esk13_2(X1,X2))=esk12_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk# Child (10216) has found a proof. % 0.20/0.40 % 0.20/0.40 # Proof search is over... % 0.20/0.40 # Freeing feature tree %------------------------------------------------------------------------------