TSTP Solution File: TOP023+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Thu Jul 21 21:25:37 EDT 2022
% Result : Theorem 3.06s 0.82s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 07:55:57 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.39 # No SInE strategy applied
% 0.12/0.39 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.12/0.39 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.39 #
% 0.12/0.39 # Presaturation interreduction done
% 0.12/0.39 # Number of axioms: 103 Number of unprocessed: 103
% 0.12/0.39 # Tableaux proof search.
% 0.12/0.39 # APR header successfully linked.
% 0.12/0.39 # Hello from C++
% 0.12/0.40 # The folding up rule is enabled...
% 0.12/0.40 # Local unification is enabled...
% 0.12/0.40 # Any saturation attempts will use folding labels...
% 0.12/0.40 # 103 beginning clauses after preprocessing and clausification
% 0.12/0.40 # Creating start rules for all 8 conjectures.
% 0.12/0.40 # There are 8 start rule candidates:
% 0.12/0.40 # Found 29 unit axioms.
% 0.12/0.40 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.40 # 8 start rule tableaux created.
% 0.12/0.40 # 74 extension rule candidate clauses
% 0.12/0.40 # 29 unit axiom clauses
% 0.12/0.40
% 0.12/0.40 # Requested 8, 32 cores available to the main process.
% 3.06/0.82 # There were 6 total branch saturation attempts.
% 3.06/0.82 # There were 0 of these attempts blocked.
% 3.06/0.82 # There were 0 deferred branch saturation attempts.
% 3.06/0.82 # There were 0 free duplicated saturations.
% 3.06/0.82 # There were 6 total successful branch saturations.
% 3.06/0.82 # There were 2 successful branch saturations in interreduction.
% 3.06/0.82 # There were 0 successful branch saturations on the branch.
% 3.06/0.82 # There were 4 successful branch saturations after the branch.
% 3.06/0.82 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/0.82 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/0.82 # Begin clausification derivation
% 3.06/0.82
% 3.06/0.82 # End clausification derivation
% 3.06/0.82 # Begin listing active clauses obtained from FOF to CNF conversion
% 3.06/0.82 cnf(i_0_3, negated_conjecture, (esk4_0=esk3_0)).
% 3.06/0.82 cnf(i_0_8, negated_conjecture, (l1_pre_topc(esk1_0))).
% 3.06/0.82 cnf(i_0_7, negated_conjecture, (l1_pre_topc(esk2_0))).
% 3.06/0.82 cnf(i_0_2, negated_conjecture, (v1_tsp_2(esk3_0,esk1_0))).
% 3.06/0.82 cnf(i_0_66, plain, (l1_pre_topc(esk6_0))).
% 3.06/0.82 cnf(i_0_85, plain, (l1_pre_topc(esk10_0))).
% 3.06/0.82 cnf(i_0_84, plain, (v1_pre_topc(esk10_0))).
% 3.06/0.82 cnf(i_0_6, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))))).
% 3.06/0.82 cnf(i_0_5, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))))).
% 3.06/0.82 cnf(i_0_4, negated_conjecture, (g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0))=g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)))).
% 3.06/0.82 cnf(i_0_74, plain, (v1_membered(k1_xboole_0))).
% 3.06/0.82 cnf(i_0_82, plain, (v1_membered(esk9_0))).
% 3.06/0.82 cnf(i_0_73, plain, (v2_membered(k1_xboole_0))).
% 3.06/0.82 cnf(i_0_81, plain, (v2_membered(esk9_0))).
% 3.06/0.82 cnf(i_0_72, plain, (v3_membered(k1_xboole_0))).
% 3.06/0.82 cnf(i_0_80, plain, (v3_membered(esk9_0))).
% 3.06/0.82 cnf(i_0_71, plain, (v4_membered(k1_xboole_0))).
% 3.06/0.82 cnf(i_0_79, plain, (v4_membered(esk9_0))).
% 3.06/0.82 cnf(i_0_70, plain, (v5_membered(k1_xboole_0))).
% 3.06/0.82 cnf(i_0_78, plain, (v5_membered(esk9_0))).
% 3.06/0.82 cnf(i_0_75, plain, (v1_xboole_0(k1_xboole_0))).
% 3.06/0.82 cnf(i_0_67, plain, (l1_struct_0(esk7_0))).
% 3.06/0.82 cnf(i_0_88, plain, (v1_xboole_0(esk12_1(X1)))).
% 3.06/0.82 cnf(i_0_98, plain, (r1_tarski(X1,X1))).
% 3.06/0.82 cnf(i_0_68, plain, (m1_subset_1(esk8_1(X1),X1))).
% 3.06/0.82 cnf(i_0_89, plain, (m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)))).
% 3.06/0.82 cnf(i_0_1, negated_conjecture, (~v1_tsp_2(esk3_0,esk2_0))).
% 3.06/0.82 cnf(i_0_83, plain, (~v1_xboole_0(esk9_0))).
% 3.06/0.82 cnf(i_0_69, plain, (~v1_xboole_0(k1_zfmisc_1(X1)))).
% 3.06/0.82 cnf(i_0_107, plain, (~v1_xboole_0(X1)|~r2_hidden(X2,X1))).
% 3.06/0.82 cnf(i_0_41, plain, (v4_membered(X1)|~v5_membered(X1))).
% 3.06/0.82 cnf(i_0_106, plain, (X1=k1_xboole_0|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_50, plain, (v1_membered(X1)|~v2_membered(X1))).
% 3.06/0.82 cnf(i_0_30, plain, (v1_membered(X1)|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_49, plain, (v2_membered(X1)|~v3_membered(X1))).
% 3.06/0.82 cnf(i_0_29, plain, (v2_membered(X1)|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_61, plain, (l1_struct_0(X1)|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_47, plain, (v3_membered(X1)|~v4_membered(X1))).
% 3.06/0.82 cnf(i_0_28, plain, (v3_membered(X1)|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_27, plain, (v4_membered(X1)|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_26, plain, (v5_membered(X1)|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_10, plain, (~r2_hidden(X1,X2)|~r2_hidden(X2,X1))).
% 3.06/0.82 cnf(i_0_86, plain, (v1_xboole_0(X1)|~v1_xboole_0(esk11_1(X1)))).
% 3.06/0.82 cnf(i_0_99, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2))).
% 3.06/0.82 cnf(i_0_95, plain, (v1_membered(esk13_1(X1))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_64, plain, (m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_57, plain, (l1_pre_topc(g1_pre_topc(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))))).
% 3.06/0.82 cnf(i_0_102, plain, (r1_tarski(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_94, plain, (v2_membered(esk13_1(X1))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_108, plain, (X1=X2|~v1_xboole_0(X2)|~v1_xboole_0(X1))).
% 3.06/0.82 cnf(i_0_93, plain, (v3_membered(esk13_1(X1))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_92, plain, (v4_membered(esk13_1(X1))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_91, plain, (v5_membered(esk13_1(X1))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_96, plain, (v1_xboole_0(esk13_1(X1))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_31, plain, (v1_membered(X1)|~v1_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_90, plain, (v2_tops_1(esk13_1(X1),X1)|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_101, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2))).
% 3.06/0.82 cnf(i_0_58, plain, (v1_pre_topc(g1_pre_topc(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))))).
% 3.06/0.82 cnf(i_0_33, plain, (v1_membered(X1)|~v2_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_36, plain, (v1_membered(X1)|~v3_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_87, plain, (v1_xboole_0(X1)|m1_subset_1(esk11_1(X1),k1_zfmisc_1(X1)))).
% 3.06/0.82 cnf(i_0_97, plain, (m1_subset_1(esk13_1(X1),k1_zfmisc_1(u1_struct_0(X1)))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_40, plain, (v1_membered(X1)|~v4_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_46, plain, (v1_membered(X1)|~v5_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_32, plain, (v2_membered(X1)|~v2_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_35, plain, (v2_membered(X1)|~v3_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_39, plain, (v2_membered(X1)|~v4_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_45, plain, (v2_membered(X1)|~v5_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_34, plain, (v3_membered(X1)|~v3_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_38, plain, (v3_membered(X1)|~v4_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_44, plain, (v3_membered(X1)|~v5_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_11, plain, (v1_xcmplx_0(X1)|~v1_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_37, plain, (v4_membered(X1)|~v4_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_43, plain, (v4_membered(X1)|~v5_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_42, plain, (v5_membered(X1)|~v5_membered(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_104, plain, (~v1_xboole_0(X1)|~r2_hidden(X2,X3)|~m1_subset_1(X3,k1_zfmisc_1(X1)))).
% 3.06/0.82 cnf(i_0_13, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_100, plain, (v1_xboole_0(X1)|r2_hidden(X2,X1)|~m1_subset_1(X2,X1))).
% 3.06/0.82 cnf(i_0_9, plain, (g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))=X1|~v1_pre_topc(X1)|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_16, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_20, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_25, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_12, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_15, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_19, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_23, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_14, plain, (v1_rat_1(X1)|~v3_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_17, plain, (v1_rat_1(X1)|~v4_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_21, plain, (v1_rat_1(X1)|~v5_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_18, plain, (v1_int_1(X1)|~v4_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_22, plain, (v1_int_1(X1)|~v5_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_24, plain, (v4_ordinal2(X1)|~v5_membered(X2)|~m1_subset_1(X1,X2))).
% 3.06/0.82 cnf(i_0_48, plain, (v2_tops_1(X1,X2)|~v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~l1_pre_topc(X2))).
% 3.06/0.82 cnf(i_0_103, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X3)|~m1_subset_1(X3,k1_zfmisc_1(X2)))).
% 3.06/0.82 cnf(i_0_56, plain, (v1_tsp_1(X1,X2)|~v1_tsp_2(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~l1_pre_topc(X2))).
% 3.06/0.82 cnf(i_0_51, plain, (v1_tsp_2(X1,X2)|esk5_2(X2,X1)!=X1|~v1_tsp_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~l1_pre_topc(X2))).
% 3.06/0.82 cnf(i_0_76, plain, (X1=X2|g1_pre_topc(X3,X1)!=g1_pre_topc(X4,X2)|~m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X3))))).
% 3.06/0.82 cnf(i_0_77, plain, (X1=X2|g1_pre_topc(X1,X3)!=g1_pre_topc(X2,X4)|~m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))))).
% 3.06/0.82 cnf(i_0_52, plain, (r1_tarski(X1,esk5_2(X2,X1))|v1_tsp_2(X1,X2)|~v1_tsp_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~l1_pre_topc(X2))).
% 3.06/0.82 cnf(i_0_53, plain, (v1_tsp_1(esk5_2(X1,X2),X1)|v1_tsp_2(X2,X1)|~v1_tsp_1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l1_pre_topc(X1))).
% 3.06/0.82 cnf(i_0_54, plain, (v1_tsp_2(X1,X2)|m1_subset_1(esk5_2(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))|~v1_tsp_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~l1_pre_topc(X2))).
% 3.06/0.82 cnf(i_0_55, plain, (X1=X2|~r1_tarski(X2,X1)|~v1_tsp_1(X1,X3)|~v1_tsp_2(X2,X3)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))|~l1_pre_topc(X3))).
% 3.06/0.82 cnf(i_0_105, plain, (v1_tsp_1(X1,X2)|g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3))!=g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))|~v1_tsp_1(X1,X3)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))|~l1_pre_topc(X2)|~l1_pre_topc(X3))).
% 3.06/0.82 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 3.06/0.82 # Begin printing tableau
% 3.06/0.82 # Found 12 steps
% 3.06/0.82 cnf(i_0_2, negated_conjecture, (v1_tsp_2(esk3_0,esk1_0)), inference(start_rule)).
% 3.06/0.82 cnf(i_0_114, plain, (v1_tsp_2(esk3_0,esk1_0)), inference(extension_rule, [i_0_55])).
% 3.06/0.82 cnf(i_0_1115, plain, (esk5_2(esk2_0,esk3_0)=esk3_0), inference(extension_rule, [i_0_51])).
% 3.06/0.82 cnf(i_0_2133, plain, (v1_tsp_2(esk3_0,esk2_0)), inference(closure_rule, [i_0_1])).
% 3.06/0.82 cnf(i_0_2136, plain, (~m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))), inference(closure_rule, [i_0_5])).
% 3.06/0.82 cnf(i_0_2137, plain, (~l1_pre_topc(esk2_0)), inference(closure_rule, [i_0_7])).
% 3.06/0.82 cnf(i_0_1117, plain, (~v1_tsp_1(esk5_2(esk2_0,esk3_0),esk1_0)), inference(etableau_closure_rule, [i_0_1117, ...])).
% 3.06/0.82 cnf(i_0_1121, plain, (~l1_pre_topc(esk1_0)), inference(etableau_closure_rule, [i_0_1121, ...])).
% 3.06/0.82 cnf(i_0_1120, plain, (~m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(etableau_closure_rule, [i_0_1120, ...])).
% 3.06/0.82 cnf(i_0_1119, plain, (~m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(etableau_closure_rule, [i_0_1119, ...])).
% 3.06/0.82 cnf(i_0_1116, plain, (~r1_tarski(esk3_0,esk5_2(esk2_0,esk3_0))), inference(etableau_closure_rule, [i_0_1116, ...])).
% 3.06/0.82 cnf(i_0_2135, plain, (~v1_tsp_1(esk3_0,esk2_0)), inference(etableau_closure_rule, [i_0_2135, ...])).
% 3.06/0.82 # End printing tableau
% 3.06/0.82 # SZS output end
% 3.06/0.82 # Branches closed with saturation will be marked with an "s"
% 3.06/0.82 # Child (4886) has found a proof.
% 3.06/0.82
% 3.06/0.82 # Proof search is over...
% 3.06/0.82 # Freeing feature tree
%------------------------------------------------------------------------------