TSTP Solution File: LAT328+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LAT328+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 : n015.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 : Sun Jul 17 04:50:57 EDT 2022
% Result : Theorem 30.59s 4.28s
% Output : CNFRefutation 30.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 14:10:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.37 # No SInE strategy applied
% 0.19/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.19/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.37 #
% 0.19/0.37 # Number of axioms: 83 Number of unprocessed: 83
% 0.19/0.37 # Tableaux proof search.
% 0.19/0.37 # APR header successfully linked.
% 0.19/0.37 # Hello from C++
% 0.19/0.38 # The folding up rule is enabled...
% 0.19/0.38 # Local unification is enabled...
% 0.19/0.38 # Any saturation attempts will use folding labels...
% 0.19/0.38 # 83 beginning clauses after preprocessing and clausification
% 0.19/0.38 # Creating start rules for all 5 conjectures.
% 0.19/0.38 # There are 5 start rule candidates:
% 0.19/0.38 # Found 27 unit axioms.
% 0.19/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.38 # 5 start rule tableaux created.
% 0.19/0.38 # 56 extension rule candidate clauses
% 0.19/0.38 # 27 unit axiom clauses
% 0.19/0.38
% 0.19/0.38 # Requested 8, 32 cores available to the main process.
% 0.19/0.38 # There are not enough tableaux to fork, creating more from the initial 5
% 0.19/0.38 # Returning from population with 34 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.38 # We now have 34 tableaux to operate on
% 30.59/4.28 # There were 1 total branch saturation attempts.
% 30.59/4.28 # There were 0 of these attempts blocked.
% 30.59/4.28 # There were 0 deferred branch saturation attempts.
% 30.59/4.28 # There were 0 free duplicated saturations.
% 30.59/4.28 # There were 1 total successful branch saturations.
% 30.59/4.28 # There were 0 successful branch saturations in interreduction.
% 30.59/4.28 # There were 0 successful branch saturations on the branch.
% 30.59/4.28 # There were 1 successful branch saturations after the branch.
% 30.59/4.28 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.59/4.28 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.59/4.28 # Begin clausification derivation
% 30.59/4.28
% 30.59/4.28 # End clausification derivation
% 30.59/4.28 # Begin listing active clauses obtained from FOF to CNF conversion
% 30.59/4.28 cnf(i_0_4, negated_conjecture, (v10_lattices(esk1_0))).
% 30.59/4.28 cnf(i_0_3, negated_conjecture, (l3_lattices(esk1_0))).
% 30.59/4.28 cnf(i_0_44, plain, (l3_lattices(esk8_0))).
% 30.59/4.28 cnf(i_0_49, plain, (v1_xboole_0(k1_xboole_0))).
% 30.59/4.28 cnf(i_0_60, plain, (v1_xboole_0(esk14_0))).
% 30.59/4.28 cnf(i_0_56, plain, (v1_realset1(esk12_0))).
% 30.59/4.28 cnf(i_0_41, plain, (l1_lattices(esk5_0))).
% 30.59/4.28 cnf(i_0_42, plain, (l1_struct_0(esk6_0))).
% 30.59/4.28 cnf(i_0_67, plain, (l1_struct_0(esk18_0))).
% 30.59/4.28 cnf(i_0_43, plain, (l2_lattices(esk7_0))).
% 30.59/4.28 cnf(i_0_5, negated_conjecture, (~v3_struct_0(esk1_0))).
% 30.59/4.28 cnf(i_0_66, plain, (~v3_struct_0(esk18_0))).
% 30.59/4.28 cnf(i_0_57, plain, (~v1_xboole_0(esk12_0))).
% 30.59/4.28 cnf(i_0_62, plain, (~v1_xboole_0(esk15_0))).
% 30.59/4.28 cnf(i_0_65, plain, (~v1_xboole_0(esk17_0))).
% 30.59/4.28 cnf(i_0_61, plain, (~v1_realset1(esk15_0))).
% 30.59/4.28 cnf(i_0_89, plain, (X1=k1_xboole_0|~v1_xboole_0(X1))).
% 30.59/4.28 cnf(i_0_63, plain, (v1_xboole_0(esk16_1(X1)))).
% 30.59/4.28 cnf(i_0_51, plain, (v1_realset1(k1_tarski(X1)))).
% 30.59/4.28 cnf(i_0_52, plain, (v1_finset_1(k1_tarski(X1)))).
% 30.59/4.28 cnf(i_0_7, plain, (v1_funct_1(X1)|~v1_xboole_0(X1))).
% 30.59/4.28 cnf(i_0_15, plain, (v1_realset1(X1)|~v1_xboole_0(X1))).
% 30.59/4.28 cnf(i_0_37, plain, (l1_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_33, plain, (l1_struct_0(X1)|~l1_lattices(X1))).
% 30.59/4.28 cnf(i_0_35, plain, (l1_struct_0(X1)|~l2_lattices(X1))).
% 30.59/4.28 cnf(i_0_36, plain, (l2_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_76, plain, (r1_tarski(X1,X1))).
% 30.59/4.28 cnf(i_0_2, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0)))).
% 30.59/4.28 cnf(i_0_91, plain, (X1=X2|~v1_xboole_0(X2)|~v1_xboole_0(X1))).
% 30.59/4.28 cnf(i_0_48, plain, (~v1_xboole_0(k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_50, plain, (~v1_xboole_0(k1_tarski(X1)))).
% 30.59/4.28 cnf(i_0_53, plain, (~v1_xboole_0(k1_tarski(X1)))).
% 30.59/4.28 cnf(i_0_45, plain, (m1_subset_1(esk9_1(X1),X1))).
% 30.59/4.28 cnf(i_0_58, plain, (v1_xboole_0(X1)|~v1_xboole_0(esk13_1(X1)))).
% 30.59/4.28 cnf(i_0_13, plain, (v3_struct_0(X1)|v4_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_12, plain, (v3_struct_0(X1)|v5_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_11, plain, (v3_struct_0(X1)|v6_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_10, plain, (v3_struct_0(X1)|v7_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_9, plain, (v3_struct_0(X1)|v8_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_8, plain, (v3_struct_0(X1)|v9_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_25, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_tarski(X2))).
% 30.59/4.28 cnf(i_0_64, plain, (m1_subset_1(esk16_1(X1),k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_47, plain, (v3_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_68, plain, (v3_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(esk19_1(X1)))).
% 30.59/4.28 cnf(i_0_90, plain, (~v1_xboole_0(X2)|~r2_hidden(X1,X2))).
% 30.59/4.28 cnf(i_0_59, plain, (v1_xboole_0(X1)|m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_26, plain, (X1=X3|X2!=k1_tarski(X3)|~r2_hidden(X1,X2))).
% 30.59/4.28 cnf(i_0_54, plain, (v3_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~v1_xboole_0(esk11_1(X1)))).
% 30.59/4.28 cnf(i_0_79, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2))).
% 30.59/4.28 cnf(i_0_46, plain, (v3_struct_0(X1)|m2_lattice4(esk10_1(X1),X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_55, plain, (v3_struct_0(X1)|m2_lattice4(esk11_1(X1),X1)|~v10_lattices(X1)|~l3_lattices(X1))).
% 30.59/4.28 cnf(i_0_81, plain, (v1_xboole_0(X2)|r2_hidden(X1,X2)|~m1_subset_1(X1,X2))).
% 30.59/4.28 cnf(i_0_82, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2))).
% 30.59/4.28 cnf(i_0_6, plain, (~r2_hidden(X2,X1)|~r2_hidden(X1,X2))).
% 30.59/4.28 cnf(i_0_70, plain, (k6_domain_1(X1,X2)=k1_tarski(X2)|v1_xboole_0(X1)|~m1_subset_1(X2,X1))).
% 30.59/4.28 cnf(i_0_83, plain, (r1_tarski(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(X2)))).
% 30.59/4.28 cnf(i_0_69, plain, (v3_struct_0(X1)|m1_subset_1(esk19_1(X1),k1_zfmisc_1(u1_struct_0(X1)))|~l1_struct_0(X1))).
% 30.59/4.28 cnf(i_0_16, plain, (v3_struct_0(X1)|v10_lattices(X1)|~l3_lattices(X1)|~v4_lattices(X1)|~v5_lattices(X1)|~v6_lattices(X1)|~v7_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1))).
% 30.59/4.28 cnf(i_0_23, plain, (X2=k1_tarski(X1)|esk4_2(X1,X2)=X1|r2_hidden(esk4_2(X1,X2),X2))).
% 30.59/4.28 cnf(i_0_85, plain, (~v1_xboole_0(X3)|~r2_hidden(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3)))).
% 30.59/4.28 cnf(i_0_84, plain, (m1_subset_1(X1,X3)|~r2_hidden(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3)))).
% 30.59/4.28 cnf(i_0_32, plain, (v1_xboole_0(X1)|m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))|~m1_subset_1(X2,X1))).
% 30.59/4.28 cnf(i_0_39, plain, (v3_struct_0(X1)|m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~v10_lattices(X1)|~l3_lattices(X1)|~m2_lattice4(X2,X1))).
% 30.59/4.28 cnf(i_0_24, plain, (X2=k1_tarski(X1)|esk4_2(X1,X2)!=X1|~r2_hidden(esk4_2(X1,X2),X2))).
% 30.59/4.28 cnf(i_0_75, plain, (v1_xboole_0(X1)|r1_filter_2(X1,X2,X2)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_71, plain, (v1_xboole_0(X3)|r1_filter_2(X3,X1,X2)|X1!=X2|~m1_subset_1(X2,k1_zfmisc_1(X3))|~m1_subset_1(X1,k1_zfmisc_1(X3)))).
% 30.59/4.28 cnf(i_0_77, plain, (v3_struct_0(X1)|r3_lattices(X1,X2,X2)|~l3_lattices(X1)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_72, plain, (X2=X3|v1_xboole_0(X1)|~r1_filter_2(X1,X2,X3)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_30, plain, (v3_struct_0(X1)|m2_lattice4(k22_filter_2(X1,X2,X3),X1)|~v10_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_78, plain, (v1_xboole_0(X1)|r1_filter_2(X1,X3,X2)|~r1_filter_2(X1,X2,X3)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_21, plain, (v1_xboole_0(X4)|r2_hidden(X1,X3)|~m1_subset_1(X1,X4)|~r2_hidden(X1,X2)|~r1_filter_2(X4,X3,X2)|~m1_subset_1(X3,k1_zfmisc_1(X4))|~m1_subset_1(X2,k1_zfmisc_1(X4)))).
% 30.59/4.28 cnf(i_0_22, plain, (v1_xboole_0(X4)|r2_hidden(X1,X3)|~m1_subset_1(X1,X4)|~r2_hidden(X1,X2)|~r1_filter_2(X4,X2,X3)|~m1_subset_1(X3,k1_zfmisc_1(X4))|~m1_subset_1(X2,k1_zfmisc_1(X4)))).
% 30.59/4.28 cnf(i_0_73, plain, (v3_struct_0(X1)|r3_lattices(X1,X2,X3)|~l3_lattices(X1)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~r1_lattices(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_74, plain, (v3_struct_0(X1)|r1_lattices(X1,X2,X3)|~l3_lattices(X1)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~r3_lattices(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_20, plain, (v1_xboole_0(X1)|r1_filter_2(X1,X2,X3)|m1_subset_1(esk3_3(X1,X2,X3),X1)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_80, plain, (X2=X3|v3_struct_0(X1)|~v4_lattices(X1)|~l2_lattices(X1)|~r1_lattices(X1,X3,X2)|~r1_lattices(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_31, plain, (v3_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v1_xboole_0(k22_filter_2(X1,X2,X3)))).
% 30.59/4.28 cnf(i_0_1, negated_conjecture, (~r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)))).
% 30.59/4.28 cnf(i_0_18, plain, (v1_xboole_0(X1)|r1_filter_2(X1,X2,X3)|r2_hidden(esk3_3(X1,X2,X3),X3)|r2_hidden(esk3_3(X1,X2,X3),X2)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1)))).
% 30.59/4.28 cnf(i_0_87, plain, (v3_struct_0(X1)|r3_lattices(X1,X2,X3)|~v10_lattices(X1)|~l3_lattices(X1)|~r3_lattices(X1,X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~r2_hidden(X2,k22_filter_2(X1,X4,X3)))).
% 30.59/4.28 cnf(i_0_88, plain, (v3_struct_0(X1)|r3_lattices(X1,X2,X3)|~v10_lattices(X1)|~l3_lattices(X1)|~r3_lattices(X1,X2,X4)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~r2_hidden(X3,k22_filter_2(X1,X2,X4)))).
% 30.59/4.28 cnf(i_0_86, plain, (v3_struct_0(X1)|r2_hidden(X3,k22_filter_2(X1,X2,X4))|~v10_lattices(X1)|~l3_lattices(X1)|~r3_lattices(X1,X3,X4)|~r3_lattices(X1,X2,X4)|~r3_lattices(X1,X2,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1)))).
% 30.59/4.28 cnf(i_0_19, plain, (v1_xboole_0(X1)|r1_filter_2(X1,X2,X3)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1))|~r2_hidden(esk3_3(X1,X2,X3),X3)|~r2_hidden(esk3_3(X1,X2,X3),X2))).
% 30.59/4.28 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 30.59/4.28 # Begin printing tableau
% 30.59/4.28 # Found 6 steps
% 30.59/4.28 cnf(i_0_4, negated_conjecture, (v10_lattices(esk1_0)), inference(start_rule)).
% 30.59/4.28 cnf(i_0_96, plain, (v10_lattices(esk1_0)), inference(extension_rule, [i_0_54])).
% 30.59/4.28 cnf(i_0_5090, plain, (v3_struct_0(esk1_0)), inference(closure_rule, [i_0_5])).
% 30.59/4.28 cnf(i_0_5092, plain, (~l3_lattices(esk1_0)), inference(closure_rule, [i_0_3])).
% 30.59/4.28 cnf(i_0_5093, plain, (~v1_xboole_0(esk11_1(esk1_0))), inference(extension_rule, [i_0_58])).
% 30.59/4.28 cnf(i_0_5112, plain, (~v1_xboole_0(esk13_1(esk11_1(esk1_0)))), inference(etableau_closure_rule, [i_0_5112, ...])).
% 30.59/4.28 # End printing tableau
% 30.59/4.28 # SZS output end
% 30.59/4.28 # Branches closed with saturation will be marked with an "s"
% 30.59/4.29 # Child (7425) has found a proof.
% 30.59/4.29
% 30.59/4.29 # Proof search is over...
% 30.59/4.29 # Freeing feature tree
%------------------------------------------------------------------------------