TSTP Solution File: SEU310+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU310+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 : n004.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 09:25:44 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n004.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 : Sat Jun 18 22:41:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37 # Number of axioms: 97 Number of unprocessed: 97
% 0.12/0.37 # Tableaux proof search.
% 0.12/0.37 # APR header successfully linked.
% 0.12/0.37 # Hello from C++
% 0.12/0.38 # The folding up rule is enabled...
% 0.12/0.38 # Local unification is enabled...
% 0.12/0.38 # Any saturation attempts will use folding labels...
% 0.12/0.38 # 97 beginning clauses after preprocessing and clausification
% 0.12/0.38 # Creating start rules for all 6 conjectures.
% 0.12/0.38 # There are 6 start rule candidates:
% 0.12/0.38 # Found 12 unit axioms.
% 0.12/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.38 # 6 start rule tableaux created.
% 0.12/0.38 # 85 extension rule candidate clauses
% 0.12/0.38 # 12 unit axiom clauses
% 0.12/0.38
% 0.12/0.38 # Requested 8, 32 cores available to the main process.
% 0.12/0.38 # There are not enough tableaux to fork, creating more from the initial 6
% 0.12/0.38 # Returning from population with 34 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.38 # We now have 34 tableaux to operate on
% 0.18/0.48 # Creating equality axioms
% 0.18/0.48 # Ran out of tableaux, making start rules for all clauses
% 0.18/0.48 # There were 1 total branch saturation attempts.
% 0.18/0.48 # There were 0 of these attempts blocked.
% 0.18/0.48 # There were 0 deferred branch saturation attempts.
% 0.18/0.48 # There were 0 free duplicated saturations.
% 0.18/0.48 # There were 1 total successful branch saturations.
% 0.18/0.48 # There were 0 successful branch saturations in interreduction.
% 0.18/0.48 # There were 0 successful branch saturations on the branch.
% 0.18/0.48 # There were 1 successful branch saturations after the branch.
% 0.18/0.48 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 # Begin clausification derivation
% 0.18/0.48
% 0.18/0.48 # End clausification derivation
% 0.18/0.48 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.48 cnf(i_0_6, negated_conjecture, (topological_space(esk1_0))).
% 0.18/0.48 cnf(i_0_5, negated_conjecture, (top_str(esk1_0))).
% 0.18/0.48 cnf(i_0_4, negated_conjecture, (element(esk2_0,powerset(powerset(the_carrier(esk1_0)))))).
% 0.18/0.48 cnf(i_0_11, plain, (v5_membered(esk4_0))).
% 0.18/0.48 cnf(i_0_12, plain, (v4_membered(esk4_0))).
% 0.18/0.48 cnf(i_0_13, plain, (v3_membered(esk4_0))).
% 0.18/0.48 cnf(i_0_14, plain, (v2_membered(esk4_0))).
% 0.18/0.48 cnf(i_0_15, plain, (v1_membered(esk4_0))).
% 0.18/0.48 cnf(i_0_67, plain, (empty(esk7_1(X1)))).
% 0.18/0.48 cnf(i_0_68, plain, (element(esk7_1(X1),powerset(X1)))).
% 0.18/0.48 cnf(i_0_16, plain, (~empty(esk4_0))).
% 0.18/0.48 cnf(i_0_82, plain, (~empty(powerset(X1)))).
% 0.18/0.48 cnf(i_0_69, plain, (v5_membered(X1)|~empty(X1))).
% 0.18/0.48 cnf(i_0_70, plain, (v4_membered(X1)|~empty(X1))).
% 0.18/0.48 cnf(i_0_71, plain, (v3_membered(X1)|~empty(X1))).
% 0.18/0.48 cnf(i_0_72, plain, (v2_membered(X1)|~empty(X1))).
% 0.18/0.48 cnf(i_0_78, plain, (one_sorted_str(X1)|~top_str(X1))).
% 0.18/0.48 cnf(i_0_73, plain, (v1_membered(X1)|~empty(X1))).
% 0.18/0.48 cnf(i_0_7, plain, (v4_membered(X1)|~v5_membered(X1))).
% 0.18/0.48 cnf(i_0_8, plain, (v3_membered(X1)|~v4_membered(X1))).
% 0.18/0.48 cnf(i_0_9, plain, (v2_membered(X1)|~v3_membered(X1))).
% 0.18/0.48 cnf(i_0_10, plain, (v1_membered(X1)|~v2_membered(X1))).
% 0.18/0.48 cnf(i_0_74, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.18/0.48 cnf(i_0_3, negated_conjecture, (~in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)|~in(esk3_1(X1),powerset(the_carrier(esk1_0)))|~in(esk3_1(X1),X1))).
% 0.18/0.48 cnf(i_0_65, plain, (empty(X1)|~empty(esk6_1(X1)))).
% 0.18/0.48 cnf(i_0_2, negated_conjecture, (in(esk3_1(X1),powerset(the_carrier(esk1_0)))|in(esk3_1(X1),X1))).
% 0.18/0.48 cnf(i_0_76, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 0.18/0.48 cnf(i_0_66, plain, (empty(X1)|element(esk6_1(X1),powerset(X1)))).
% 0.18/0.48 cnf(i_0_57, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 0.18/0.48 cnf(i_0_17, plain, (v1_xcmplx_0(X1)|~v1_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_31, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_26, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_22, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_58, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 0.18/0.48 cnf(i_0_1, negated_conjecture, (in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)|in(esk3_1(X1),X1))).
% 0.18/0.48 cnf(i_0_53, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 0.18/0.48 cnf(i_0_59, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 0.18/0.48 cnf(i_0_54, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 0.18/0.48 cnf(i_0_19, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_50, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 0.18/0.48 cnf(i_0_29, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_25, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_21, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_18, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_60, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 0.18/0.48 cnf(i_0_55, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 0.18/0.48 cnf(i_0_51, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 0.18/0.48 cnf(i_0_48, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 0.18/0.48 cnf(i_0_61, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 0.18/0.48 cnf(i_0_27, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_56, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 0.18/0.48 cnf(i_0_23, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_20, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_28, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_24, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_52, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 0.18/0.48 cnf(i_0_49, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 0.18/0.48 cnf(i_0_47, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1))).
% 0.18/0.48 cnf(i_0_81, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_64, plain, (element(esk5_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_30, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 0.18/0.48 cnf(i_0_63, plain, (closed_subset(esk5_1(X1),X1)|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_42, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_43, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_38, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_44, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_39, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_35, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_45, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_40, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_36, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_33, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_32, plain, (v1_membered(X1)|~v1_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_46, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_41, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_37, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_34, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 0.18/0.48 cnf(i_0_85, plain, (esk12_3(X1,X2,X3)=X3|esk10_2(X1,X2)!=esk9_2(X1,X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_84, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk10_2(X1,X3)!=esk9_2(X1,X3)|~in(X2,esk11_2(X1,X3))|~element(X3,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_86, plain, (in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))|esk10_2(X1,X2)!=esk9_2(X1,X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_83, plain, (in(X1,esk11_2(X2,X3))|esk10_2(X2,X3)!=esk9_2(X2,X3)|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2))).
% 0.18/0.48 cnf(i_0_100, plain, (esk8_2(X1,X2)=esk9_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_101, plain, (esk8_2(X1,X2)=esk9_2(X1,X2)|esk12_3(X1,X2,X3)=X3|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_93, plain, (esk8_2(X1,X2)=esk10_2(X1,X2)|esk12_3(X1,X2,X3)=X3|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_92, plain, (esk8_2(X1,X2)=esk10_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_102, plain, (esk8_2(X1,X2)=esk9_2(X1,X2)|in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_94, plain, (esk8_2(X1,X2)=esk10_2(X1,X2)|in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_97, plain, (esk12_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk9_2(X1,X2)),X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_96, plain, (in(set_difference(cast_as_carrier_subset(X1),esk9_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_88, plain, (in(set_difference(cast_as_carrier_subset(X1),esk10_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_89, plain, (esk12_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk10_2(X1,X2)),X2)|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_98, plain, (in(set_difference(cast_as_carrier_subset(X1),esk9_2(X1,X2)),X2)|in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_99, plain, (esk8_2(X1,X2)=esk9_2(X1,X2)|in(X3,esk11_2(X1,X2))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_91, plain, (esk8_2(X1,X2)=esk10_2(X1,X2)|in(X3,esk11_2(X1,X2))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_90, plain, (in(set_difference(cast_as_carrier_subset(X1),esk10_2(X1,X2)),X2)|in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk11_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_95, plain, (in(set_difference(cast_as_carrier_subset(X1),esk9_2(X1,X2)),X2)|in(X3,esk11_2(X1,X2))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_87, plain, (in(set_difference(cast_as_carrier_subset(X1),esk10_2(X1,X2)),X2)|in(X3,esk11_2(X1,X2))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1))).
% 0.18/0.48 cnf(i_0_12019, plain, (X68=X68)).
% 0.18/0.48 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.18/0.48 # Begin printing tableau
% 0.18/0.48 # Found 6 steps
% 0.18/0.48 cnf(i_0_12019, plain, (esk1_0=esk1_0), inference(start_rule)).
% 0.18/0.48 cnf(i_0_12345, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_12023])).
% 0.18/0.48 cnf(i_0_12644, plain, (~topological_space(esk1_0)), inference(closure_rule, [i_0_6])).
% 0.18/0.48 cnf(i_0_12642, plain, (topological_space(esk1_0)), inference(extension_rule, [i_0_81])).
% 0.18/0.48 cnf(i_0_12744, plain, (~top_str(esk1_0)), inference(closure_rule, [i_0_5])).
% 0.18/0.48 cnf(i_0_12743, plain, (closed_subset(cast_as_carrier_subset(esk1_0),esk1_0)), inference(etableau_closure_rule, [i_0_12743, ...])).
% 0.18/0.48 # End printing tableau
% 0.18/0.48 # SZS output end
% 0.18/0.48 # Branches closed with saturation will be marked with an "s"
% 0.18/0.49 # Child (16887) has found a proof.
% 0.18/0.49
% 0.18/0.49 # Proof search is over...
% 0.18/0.49 # Freeing feature tree
%------------------------------------------------------------------------------