TSTP Solution File: SWB027+2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 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 : n017.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 19:02:35 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 13:05:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic G_E___208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36 #
% 0.12/0.36 # Presaturation interreduction done
% 0.12/0.36 # Number of axioms: 29 Number of unprocessed: 29
% 0.12/0.36 # Tableaux proof search.
% 0.12/0.36 # APR header successfully linked.
% 0.12/0.36 # Hello from C++
% 0.19/0.37 # The folding up rule is enabled...
% 0.19/0.37 # Local unification is enabled...
% 0.19/0.37 # Any saturation attempts will use folding labels...
% 0.19/0.37 # 29 beginning clauses after preprocessing and clausification
% 0.19/0.37 # Creating start rules for all 1 conjectures.
% 0.19/0.37 # There are 1 start rule candidates:
% 0.19/0.37 # Found 8 unit axioms.
% 0.19/0.37 # 1 start rule tableaux created.
% 0.19/0.37 # 21 extension rule candidate clauses
% 0.19/0.37 # 8 unit axiom clauses
% 0.19/0.37
% 0.19/0.37 # Requested 8, 32 cores available to the main process.
% 0.19/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.43 # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.43 # We now have 9 tableaux to operate on
% 0.19/0.44 # There were 15 total branch saturation attempts.
% 0.19/0.44 # There were 0 of these attempts blocked.
% 0.19/0.44 # There were 0 deferred branch saturation attempts.
% 0.19/0.44 # There were 6 free duplicated saturations.
% 0.19/0.44 # There were 15 total successful branch saturations.
% 0.19/0.44 # There were 0 successful branch saturations in interreduction.
% 0.19/0.44 # There were 0 successful branch saturations on the branch.
% 0.19/0.44 # There were 9 successful branch saturations after the branch.
% 0.19/0.44 # There were 15 total branch saturation attempts.
% 0.19/0.44 # There were 0 of these attempts blocked.
% 0.19/0.44 # There were 0 deferred branch saturation attempts.
% 0.19/0.44 # There were 6 free duplicated saturations.
% 0.19/0.44 # There were 15 total successful branch saturations.
% 0.19/0.44 # There were 0 successful branch saturations in interreduction.
% 0.19/0.44 # There were 0 successful branch saturations on the branch.
% 0.19/0.44 # There were 9 successful branch saturations after the branch.
% 0.19/0.44 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Begin clausification derivation
% 0.19/0.44
% 0.19/0.44 # End clausification derivation
% 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.44 cnf(i_0_28, plain, (iext(uri_rdf_first,esk9_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_24, plain, (iext(uri_owl_inverseOf,esk11_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_26, plain, (iext(uri_rdf_first,esk10_0,esk11_0))).
% 0.19/0.44 cnf(i_0_27, plain, (iext(uri_rdf_rest,esk9_0,esk10_0))).
% 0.19/0.44 cnf(i_0_25, plain, (iext(uri_rdf_rest,esk10_0,uri_rdf_nil))).
% 0.19/0.44 cnf(i_0_29, plain, (iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0))).
% 0.19/0.44 cnf(i_0_3, plain, (iext(uri_owl_sameAs,X1,X1))).
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty))).
% 0.19/0.44 cnf(i_0_16, plain, (ip(X1)|~icext(uri_owl_InverseFunctionalProperty,X1))).
% 0.19/0.44 cnf(i_0_12, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|esk5_1(X1)!=esk4_1(X1)|~ip(X1))).
% 0.19/0.44 cnf(i_0_21, plain, (ip(X1)|~iext(uri_owl_inverseOf,X2,X1))).
% 0.19/0.44 cnf(i_0_22, plain, (ip(X1)|~iext(uri_owl_inverseOf,X1,X2))).
% 0.19/0.44 cnf(i_0_4, plain, (X1=X2|~iext(uri_owl_sameAs,X1,X2))).
% 0.19/0.44 cnf(i_0_2, plain, (icext(X1,X2)|~iext(uri_rdf_type,X2,X1))).
% 0.19/0.44 cnf(i_0_1, plain, (iext(uri_rdf_type,X1,X2)|~icext(X2,X1))).
% 0.19/0.44 cnf(i_0_14, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk4_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_13, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk5_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_15, plain, (X1=X2|~icext(uri_owl_InverseFunctionalProperty,X3)|~iext(X3,X2,X4)|~iext(X3,X1,X4))).
% 0.19/0.44 cnf(i_0_19, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X1,X4)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_20, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X4,X1)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_9, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X2)|~iext(uri_owl_propertyChainAxiom,X5,X3))).
% 0.19/0.44 cnf(i_0_10, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X1)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X5,X4))).
% 0.19/0.44 cnf(i_0_11, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X1,X4))).
% 0.19/0.44 cnf(i_0_18, plain, (iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1)|~iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|~iext(X1,esk7_2(X1,X2),esk8_2(X1,X2)))).
% 0.19/0.44 cnf(i_0_8, plain, (iext(X1,X2,X3)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_owl_propertyChainAxiom,X1,X6)|~iext(X5,X8,X3)|~iext(X7,X2,X8))).
% 0.19/0.44 cnf(i_0_17, plain, (iext(X1,esk7_2(X1,X2),esk8_2(X1,X2))|iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1))).
% 0.19/0.44 cnf(i_0_7, plain, (iext(X1,esk1_5(X2,X3,X1,X4,X5),esk2_5(X2,X3,X1,X4,X5))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X5)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X3,X1)|~iext(uri_rdf_rest,X3,X4))).
% 0.19/0.44 cnf(i_0_6, plain, (iext(X1,esk2_5(X2,X3,X4,X5,X1),esk3_5(X2,X3,X4,X5,X1))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X4)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X5))).
% 0.19/0.44 cnf(i_0_5, plain, (iext(uri_owl_propertyChainAxiom,X1,X2)|~ip(X3)|~ip(X4)|~ip(X1)|~iext(X1,esk1_5(X1,X2,X4,X5,X3),esk3_5(X1,X2,X4,X5,X3))|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X3)|~iext(uri_rdf_first,X2,X4)|~iext(uri_rdf_rest,X2,X5))).
% 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.44 # Begin printing tableau
% 0.19/0.44 # Found 21 steps
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(start_rule)).
% 0.19/0.44 cnf(i_0_31, plain, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_8])).
% 0.19/0.44 cnf(i_0_87, plain, (~iext(uri_rdf_rest,esk10_0,uri_rdf_nil)), inference(closure_rule, [i_0_25])).
% 0.19/0.44 cnf(i_0# SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Begin clausification derivation
% 0.19/0.44
% 0.19/0.44 # End clausification derivation
% 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.44 cnf(i_0_28, plain, (iext(uri_rdf_first,esk9_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_24, plain, (iext(uri_owl_inverseOf,esk11_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_26, plain, (iext(uri_rdf_first,esk10_0,esk11_0))).
% 0.19/0.44 cnf(i_0_27, plain, (iext(uri_rdf_rest,esk9_0,esk10_0))).
% 0.19/0.44 cnf(i_0_25, plain, (iext(uri_rdf_rest,esk10_0,uri_rdf_nil))).
% 0.19/0.44 cnf(i_0_29, plain, (iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0))).
% 0.19/0.44 cnf(i_0_3, plain, (iext(uri_owl_sameAs,X1,X1))).
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty))).
% 0.19/0.44 cnf(i_0_16, plain, (ip(X1)|~icext(uri_owl_InverseFunctionalProperty,X1))).
% 0.19/0.44 cnf(i_0_12, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|esk5_1(X1)!=esk4_1(X1)|~ip(X1))).
% 0.19/0.44 cnf(i_0_21, plain, (ip(X1)|~iext(uri_owl_inverseOf,X2,X1))).
% 0.19/0.44 cnf(i_0_22, plain, (ip(X1)|~iext(uri_owl_inverseOf,X1,X2))).
% 0.19/0.44 cnf(i_0_4, plain, (X1=X2|~iext(uri_owl_sameAs,X1,X2))).
% 0.19/0.44 cnf(i_0_2, plain, (icext(X1,X2)|~iext(uri_rdf_type,X2,X1))).
% 0.19/0.44 cnf(i_0_1, plain, (iext(uri_rdf_type,X1,X2)|~icext(X2,X1))).
% 0.19/0.44 cnf(i_0_14, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk4_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_13, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk5_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_15, plain, (X1=X2|~icext(uri_owl_InverseFunctionalProperty,X3)|~iext(X3,X2,X4)|~iext(X3,X1,X4))).
% 0.19/0.44 cnf(i_0_19, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X1,X4)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_20, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X4,X1)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_9, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X2)|~iext(uri_owl_propertyChainAxiom,X5,X3))).
% 0.19/0.44 cnf(i_0_10, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X1)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X5,X4))).
% 0.19/0.44 cnf(i_0_11, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X1,X4))).
% 0.19/0.44 cnf(i_0_18, plain, (iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1)|~iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|~iext(X1,esk7_2(X1,X2),esk8_2(X1,X2)))).
% 0.19/0.44 cnf(i_0_8, plain, (iext(X1,X2,X3)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_owl_propertyChainAxiom,X1,X6)|~iext(X5,X8,X3)|~iext(X7,X2,X8))).
% 0.19/0.44 cnf(i_0_17, plain, (iext(X1,esk7_2(X1,X2),esk8_2(X1,X2))|iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1))).
% 0.19/0.44 cnf(i_0_7, plain, (iext(X1,esk1_5(X2,X3,X1,X4,X5),esk2_5(X2,X3,X1,X4,X5))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X5)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X3,X1)|~iext(uri_rdf_rest,X3,X4))).
% 0.19/0.44 cnf(i_0_6, plain, (iext(X1,esk2_5(X2,X3,X4,X5,X1),esk3_5(X2,X3,X4,X5,X1))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X4)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X5))).
% 0.19/0.44 cnf(i_0_5, plain, (iext(uri_owl_propertyChainAxiom,X1,X2)|~ip(X3)|~ip(X4)|~ip(X1)|~iext(X1,esk1_5(X1,X2,X4,X5,X3),esk3_5(X1,X2,X4,X5,X3))|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X3)|~iext(uri_rdf_first,X2,X4)|~iext(uri_rdf_rest,X2,X5))).
% 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.44 # Begin printing tableau
% 0.19/0.44 # Found 21 steps
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(start_rule)).
% 0.19/0.44 cnf(i_0_31, plain, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_8])).
% 0.19/0.44 cnf(i_0_87, plain, (~iext(uri_rdf_rest,esk10_0,uri_rdf_nil)), inference(closure_rule, [i_0_25])).
% 0.19/0.44 cnf(i_0_88, plain, (~iext(uri_rdf_first,esk10_0,esk11_0)), inference(closure_rule, [i_0_26])).
% 0.19/0.44 cnf(i_0_89, plain, (~iext(uri_rdf_first,esk9_0,uri_ex_p)), inference(closure_rule, [i_0_28])).
% 0.19/0.44 cnf(i_0_90, plain, (~iext(uri_rdf_rest,esk9_0,esk10_0)), inference(closure_rule, [i_0_27])).
% 0.19/0.44 cnf(i_0_91, plain, (~iext(uri_owl_propertyChainAxiom,uri_rdf_type,esk9_0)), inference(extension_rule, [i_0_5])).
% 0.19/0.44 cnf(i_0_503, plain, (~iext(uri_rdf_rest,esk10_0,uri_rdf_nil)), inference(closure_rule, [i_0_25])).
% 0.19/0.44 cnf(i_0_504, plain, (~iext(uri_rdf_first,esk10_0,esk11_0)), inference(closure_rule, [i_0_26])).
% 0.19/0.44 cnf(i_0_505, plain, (~iext(uri_rdf_first,esk9_0,uri_ex_p)), inference(closure_rule, [i_0_28])).
% 0.19/0.44 cnf(i_0_506, plain, (~iext(uri_rdf_rest,esk9_0,esk10_0)), inference(closure_rule, [i_0_27])).
% 0.19/0.44 cnf(i_0_499, plain, (~ip(esk11_0)), inference(etableau_closure_rule, [i_0_499, ...])).
% 0.19/0.44 cnf(i_0_500, plain, (~ip(uri_ex_p)), inference(etableau_closure_rule, [i_0_500, ...])).
% 0.19/0.44 cnf(i_0_501, plain, (~ip(uri_rdf_type)), inference(etableau_closure_rule, [i_0_501, ...])).
% 0.19/0.44 cnf(i_0_502, plain, (~iext(uri_rdf_type,esk1_5(uri_rdf_type,esk9_0,uri_ex_p,esk10_0,esk11_0),esk3_5(uri_rdf_type,esk9_0,uri_ex_p,esk10_0,esk11_0))), inference(etableau_closure_rule, [i_0_502, ...])).
% 0.19/0.44 cnf(i_0_92, plain, (~iext(esk11_0,uri_owl_InverseFunctionalProperty,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_19])).
% 0.19/0.44 cnf(i_0_603, plain, (~iext(uri_owl_inverseOf,esk11_0,uri_ex_p)), inference(closure_rule, [i_0_24])).
% 0.19/0.44 cnf(i_0_604, plain, (~iext(uri_ex_p,uri_owl_InverseFunctionalProperty,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_20])).
% 0.19/0.44 cnf(i_0_632, plain, (~iext(uri_owl_sameAs,uri_owl_InverseFunctionalProperty,uri_owl_InverseFunctionalProperty)), inference(closure_rule, [i_0_3])).
% 0.19/0.44 cnf(i_0_93, plain, (~iext(uri_ex_p,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(etableau_closure_rule, [i_0_93, ...])).
% 0.19/0.44 cnf(i_0_631, plain, (~iext(uri_owl_inverseOf,uri_owl_sameAs,uri_ex_p)), inference(etableau_closure_rule, [i_0_631, ...])).
% 0.19/0.44 # End printing tableau
% 0.19/0.44 # SZS output end
% 0.19/0.44 # Branches closed with saturation will be marked with an "s"
% 0.19/0.44 _88, plain, (~iext(uri_rdf_first,esk10_0,esk11_0)), inference(closure_rule, [i_0_26])).
% 0.19/0.44 cnf(i_0_89, plain, (~iext(uri_rdf_first,esk9_0,uri_ex_p)), inference(closure_rule, [i_0_28])).
% 0.19/0.44 cnf(i_0_90, plain, (~iext(uri_rdf_rest,esk9_0,esk10_0)), inference(closure_rule, [i_0_27])).
% 0.19/0.44 cnf(i_0_91, plain, (~iext(uri_owl_propertyChainAxiom,uri_rdf_type,esk9_0)), inference(extension_rule, [i_0_6])).
% 0.19/0.44 cnf(i_0_422, plain, (~iext(uri_rdf_rest,esk10_0,uri_rdf_nil)), inference(closure_rule, [i_0_25])).
% 0.19/0.44 cnf(i_0_423, plain, (~iext(uri_rdf_first,esk10_0,esk11_0)), inference(closure_rule, [i_0_26])).
% 0.19/0.44 cnf(i_0_424, plain, (~iext(uri_rdf_first,esk9_0,uri_ex_p)), inference(closure_rule, [i_0_28])).
% 0.19/0.44 cnf(i_0_425, plain, (~iext(uri_rdf_rest,esk9_0,esk10_0)), inference(closure_rule, [i_0_27])).
% 0.19/0.44 cnf(i_0_417, plain, (iext(esk11_0,esk2_5(uri_rdf_type,esk9_0,uri_ex_p,esk10_0,esk11_0),esk3_5(uri_rdf_type,esk9_0,uri_ex_p,esk10_0,esk11_0))), inference(etableau_closure_rule, [i_0_417, ...])).
% 0.19/0.44 cnf(i_0_419, plain, (~ip(uri_ex_p)), inference(etableau_closure_rule, [i_0_419, ...])).
% 0.19/0.44 cnf(i_0_420, plain, (~ip(uri_rdf_type)), inference(etableau_closure_rule, [i_0_420, ...])).
% 0.19/0.44 cnf(i_0_421, plain, (~ip(esk11_0)), inference(etableau_closure_rule, [i_0_421, ...])).
% 0.19/0.44 cnf(i_0_92, plain, (~iext(esk11_0,uri_owl_InverseFunctionalProperty,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_19])).
% 0.19/0.44 cnf(i_0_603, plain, (~iext(uri_owl_inverseOf,esk11_0,uri_ex_p)), inference(closure_rule, [i_0_24])).
% 0.19/0.44 cnf(i_0_604, plain, (~iext(uri_ex_p,uri_owl_InverseFunctionalProperty,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_20])).
% 0.19/0.44 cnf(i_0_632, plain, (~iext(uri_owl_sameAs,uri_owl_InverseFunctionalProperty,uri_owl_InverseFunctionalProperty)), inference(closure_rule, [i_0_3])).
% 0.19/0.44 cnf(i_0_93, plain, (~iext(uri_ex_p,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(etableau_closure_rule, [i_0_93, ...])).
% 0.19/0.44 cnf(i_0_631, plain, (~iext(uri_owl_inverseOf,uri_owl_sameAs,uri_ex_p)), inference(etableau_closure_rule, [i_0_631, ...])).
% 0.19/0.44 # End printing tableau
% 0.19/0.44 # SZS output end
% 0.19/0.44 # Branches closed with saturation will be marked with an "s"
% 0.19/0.44 # There were 15 total branch saturation attempts.
% 0.19/0.44 # There were 0 of these attempts blocked.
% 0.19/0.44 # There were 0 deferred branch saturation attempts.
% 0.19/0.44 # There were 6 free duplicated saturations.
% 0.19/0.44 # There were 15 total successful branch saturations.
% 0.19/0.44 # There were 0 successful branch saturations in interreduction.
% 0.19/0.44 # There were 0 successful branch saturations on the branch.
% 0.19/0.44 # There were 9 successful branch saturations after the branch.
% 0.19/0.44 # There were 15 total branch saturation attempts.
% 0.19/0.44 # There were 0 of these attempts blocked.
% 0.19/0.44 # There were 0 deferred branch saturation attempts.
% 0.19/0.44 # There were 6 free duplicated saturations.
% 0.19/0.44 # There were 15 total successful branch saturations.
% 0.19/0.44 # There were 0 successful branch saturations in interreduction.
% 0.19/0.44 # There were 0 successful branch saturations on the branch.
% 0.19/0.44 # There were 9 successful branch saturations after the branch.
% 0.19/0.44 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Begin clausification derivation
% 0.19/0.44
% 0.19/0.44 # End clausification derivation
% 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.44 cnf(i_0_28, plain, (iext(uri_rdf_first,esk9_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_24, plain, (iext(uri_owl_inverseOf,esk11_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_26, plain, (iext(uri_rdf_first,esk10_0,esk11_0))).
% 0.19/0.44 cnf(i_0_27, plain, (iext(uri_rdf_rest,esk9_0,esk10_0))).
% 0.19/0.44 cnf(i_0_25, plain, (iext(uri_rdf_rest,esk10_0,uri_rdf_nil))).
% 0.19/0.44 cnf(i_0_29, plain, (iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0))).
% 0.19/0.44 cnf(i_0_3, plain, (iext(uri_owl_sameAs,X1,X1))).
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty))).
% 0.19/0.44 cnf(i_0_16, plain, (ip(X1)|~icext(uri_owl_InverseFunctionalProperty,X1))).
% 0.19/0.44 cnf(i_0_12, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|esk5_1(X1)!=esk4_1(X1)|~ip(X1))).
% 0.19/0.44 cnf(i_0_21, plain, (ip(X1)|~iext(uri_owl_inverseOf,X2,X1))).
% 0.19/0.44 cnf(i_0_22, plain, (ip(X1)|~iext(uri_owl_inverseOf,X1,X2))).
% 0.19/0.44 cnf(i_0_4, plain, (X1=X2|~iext(uri_owl_sameAs,X1,X2))).
% 0.19/0.44 cnf(i_0_2, plain, (icext(X1,X2)|~iext(uri_rdf_type,X2,X1))).
% 0.19/0.44 cnf(i_0_1, plain, (iext(uri_rdf_type,X1,X2)|~icext(X2,X1))).
% 0.19/0.44 cnf(i_0_14, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk4_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_13, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk5_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_15, plain, (X1=X2|~icext(uri_owl_InverseFunctionalProperty,X3)|~iext(X3,X2,X4)|~iext(X3,X1,X4))).
% 0.19/0.44 cnf(i_0_19, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X1,X4)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_20, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X4,X1)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_9, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X2)|~iext(uri_owl_propertyChainAxiom,X5,X3))).
% 0.19/0.44 cnf(i_0_10, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X1)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X5,X4))).
% 0.19/0.44 cnf(i_0_11, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X1,X4))).
% 0.19/0.44 cnf(i_0_18, plain, (iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1)|~iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|~iext(X1,esk7_2(X1,X2),esk8_2(X1,X2)))).
% 0.19/0.44 cnf(i_0_8, plain, (iext(X1,X2,X3)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_owl_propertyChainAxiom,X1,X6)|~iext(X5,X8,X3)|~iext(X7,X2,X8))).
% 0.19/0.44 cnf(i_0_17, plain, (iext(X1,esk7_2(X1,X2),esk8_2(X1,X2))|iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1))).
% 0.19/0.44 cnf(i_0_7, plain, (iext(X1,esk1_5(X2,X3,X1,X4,X5),esk2_5(X2,X3,X1,X4,X5))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X5)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X3,X1)|~iext(uri_rdf_rest,X3,X4))).
% 0.19/0.44 cnf(i_0_6, plain, (iext(X1,esk2_5(X2,X3,X4,X5,X1),esk3_5(X2,X3,X4,X5,X1))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X4)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X5))).
% 0.19/0.44 cnf(i_0_5, plain, (iext(uri_owl_propertyChainAxiom,X1,X2)|~ip(X3)|~ip(X4)|~ip(X1)|~iext(X1,esk1_5(X1,X2,X4,X5,X3),esk3_5(X1,X2,X4,X5,X3))|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X3)|~iext(uri_rdf_first,X2,X4)|~iext(uri_rdf_rest,X2,X5))).
% 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.44 # Begin printing tableau
% 0.19/0.44 # Found 6 steps
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(start_rule)).
% 0.19/0.44 cnf(i_0_31, plain, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_20])).
% 0.19/0.44 cnf(i_0_61, plain, (~iext(uri_owl_inverseOf,uri_rdf_type,uri_rdf_type)), inference(extension_rule, [i_0_1# Child (15846) has found a proof.
% 0.19/0.44
% 0.19/0.44 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Begin clausification derivation
% 0.19/0.44
% 0.19/0.44 # End clausification derivation
% 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.44 cnf(i_0_28, plain, (iext(uri_rdf_first,esk9_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_24, plain, (iext(uri_owl_inverseOf,esk11_0,uri_ex_p))).
% 0.19/0.44 cnf(i_0_26, plain, (iext(uri_rdf_first,esk10_0,esk11_0))).
% 0.19/0.44 cnf(i_0_27, plain, (iext(uri_rdf_rest,esk9_0,esk10_0))).
% 0.19/0.44 cnf(i_0_25, plain, (iext(uri_rdf_rest,esk10_0,uri_rdf_nil))).
% 0.19/0.44 cnf(i_0_29, plain, (iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0))).
% 0.19/0.44 cnf(i_0_3, plain, (iext(uri_owl_sameAs,X1,X1))).
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty))).
% 0.19/0.44 cnf(i_0_16, plain, (ip(X1)|~icext(uri_owl_InverseFunctionalProperty,X1))).
% 0.19/0.44 cnf(i_0_12, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|esk5_1(X1)!=esk4_1(X1)|~ip(X1))).
% 0.19/0.44 cnf(i_0_21, plain, (ip(X1)|~iext(uri_owl_inverseOf,X2,X1))).
% 0.19/0.44 cnf(i_0_22, plain, (ip(X1)|~iext(uri_owl_inverseOf,X1,X2))).
% 0.19/0.44 cnf(i_0_4, plain, (X1=X2|~iext(uri_owl_sameAs,X1,X2))).
% 0.19/0.44 cnf(i_0_2, plain, (icext(X1,X2)|~iext(uri_rdf_type,X2,X1))).
% 0.19/0.44 cnf(i_0_1, plain, (iext(uri_rdf_type,X1,X2)|~icext(X2,X1))).
% 0.19/0.44 cnf(i_0_14, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk4_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_13, plain, (icext(uri_owl_InverseFunctionalProperty,X1)|iext(X1,esk5_1(X1),esk6_1(X1))|~ip(X1))).
% 0.19/0.44 cnf(i_0_15, plain, (X1=X2|~icext(uri_owl_InverseFunctionalProperty,X3)|~iext(X3,X2,X4)|~iext(X3,X1,X4))).
% 0.19/0.44 cnf(i_0_19, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X1,X4)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_20, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X4,X1)|~iext(X4,X3,X2))).
% 0.19/0.44 cnf(i_0_9, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X2)|~iext(uri_owl_propertyChainAxiom,X5,X3))).
% 0.19/0.44 cnf(i_0_10, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X1)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X5,X4))).
% 0.19/0.44 cnf(i_0_11, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_owl_propertyChainAxiom,X1,X4))).
% 0.19/0.44 cnf(i_0_18, plain, (iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1)|~iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|~iext(X1,esk7_2(X1,X2),esk8_2(X1,X2)))).
% 0.19/0.44 cnf(i_0_8, plain, (iext(X1,X2,X3)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_owl_propertyChainAxiom,X1,X6)|~iext(X5,X8,X3)|~iext(X7,X2,X8))).
% 0.19/0.44 cnf(i_0_17, plain, (iext(X1,esk7_2(X1,X2),esk8_2(X1,X2))|iext(X2,esk8_2(X1,X2),esk7_2(X1,X2))|iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1))).
% 0.19/0.44 cnf(i_0_7, plain, (iext(X1,esk1_5(X2,X3,X1,X4,X5),esk2_5(X2,X3,X1,X4,X5))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X5)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X3,X1)|~iext(uri_rdf_rest,X3,X4))).
% 0.19/0.44 cnf(i_0_6, plain, (iext(X1,esk2_5(X2,X3,X4,X5,X1),esk3_5(X2,X3,X4,X5,X1))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X4)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X3,X5))).
% 0.19/0.44 cnf(i_0_5, plain, (iext(uri_owl_propertyChainAxiom,X1,X2)|~ip(X3)|~ip(X4)|~ip(X1)|~iext(X1,esk1_5(X1,X2,X4,X5,X3),esk3_5(X1,X2,X4,X5,X3))|~iext(uri_rdf_rest,X5,uri_rdf_nil)|~iext(uri_rdf_first,X5,X3)|~iext(uri_rdf_first,X2,X4)|~iext(uri_rdf_rest,X2,X5))).
% 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.44 # Begin printing tableau
% 0.19/0.44 # Found 6 steps
% 0.19/0.44 cnf(i_0_23, negated_conjecture, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(start_rule)).
% 0.19/0.44 cnf(i_0_31, plain, (~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)), inference(extension_rule, [i_0_19])).
% 0.19/0.44 cnf(i_0_58, plain, (~iext(uri_owl_inverseOf,uri_rdf_type,uri_rdf_type)), inference(extension_rule, [i_0_19])).
% 0.19/0.44 cnf(i_0_604, plain, (~iext(uri_owl_sameAs,uri_rdf_type,uri_rdf_type)), inference(closure_rule, [i_0_3])).
% 0.19/0.44 cnf(i_0_59, plain, (~iext(uri_rdf_type,uri_owl_InverseFunctionalProperty,uri_ex_p)), inference(etableau_closure_rule, [i_0_59, ...])).
% 0.19/0.44 cnf(i_0_603, plain, (~iext(uri_owl_inverseOf,uri_owl_inverseOf,uri_owl_sameAs)), inference(etableau_closure_rule, [i_0_603, ...])).
% 0.19/0.44 # End printing tableau
% 0.19/0.44 # SZS output end
% 0.19/0.44 # Branches closed with saturation will be marked with an "s"
% 0.19/0.44 # Proof search is over...
% 0.19/0.44 # Freeing feature tree
%------------------------------------------------------------------------------