TSTP Solution File: SEU350+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU350+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 : n011.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 09:26:05 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.12 % 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 : n011.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 : Sun Jun 19 11:49:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.37 # No SInE strategy applied
% 0.19/0.37 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.37 #
% 0.19/0.37 # Presaturation interreduction done
% 0.19/0.37 # Number of axioms: 104 Number of unprocessed: 98
% 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 # 98 beginning clauses after preprocessing and clausification
% 0.19/0.38 # Creating start rules for all 6 conjectures.
% 0.19/0.38 # There are 6 start rule candidates:
% 0.19/0.38 # Found 29 unit axioms.
% 0.19/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.38 # 6 start rule tableaux created.
% 0.19/0.38 # 69 extension rule candidate clauses
% 0.19/0.38 # 29 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 6
% 0.19/0.38 # Returning from population with 35 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.38 # We now have 35 tableaux to operate on
% 0.19/0.41 # There were 2 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 2 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 2 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_104, negated_conjecture, (latt_str(esk18_0))).
% 0.19/0.41 cnf(i_0_105, negated_conjecture, (lattice(esk18_0))).
% 0.19/0.41 cnf(i_0_103, negated_conjecture, (element(esk19_0,the_carrier(poset_of_lattice(esk18_0))))).
% 0.19/0.41 cnf(i_0_46, plain, (rel_str(esk2_0))).
% 0.19/0.41 cnf(i_0_49, plain, (latt_str(esk5_0))).
% 0.19/0.41 cnf(i_0_76, plain, (rel_str(esk9_0))).
% 0.19/0.41 cnf(i_0_85, plain, (rel_str(esk12_0))).
% 0.19/0.41 cnf(i_0_75, plain, (strict_rel_str(esk9_0))).
% 0.19/0.41 cnf(i_0_83, plain, (strict_rel_str(esk12_0))).
% 0.19/0.41 cnf(i_0_82, plain, (reflexive_relstr(esk12_0))).
% 0.19/0.41 cnf(i_0_81, plain, (transitive_relstr(esk12_0))).
% 0.19/0.41 cnf(i_0_80, plain, (antisymmetric_relstr(esk12_0))).
% 0.19/0.41 cnf(i_0_45, plain, (meet_semilatt_str(esk1_0))).
% 0.19/0.41 cnf(i_0_47, plain, (one_sorted_str(esk3_0))).
% 0.19/0.41 cnf(i_0_90, plain, (one_sorted_str(esk15_0))).
% 0.19/0.41 cnf(i_0_48, plain, (join_semilatt_str(esk4_0))).
% 0.19/0.41 cnf(i_0_57, plain, (empty(empty_set))).
% 0.19/0.41 cnf(i_0_79, plain, (empty(esk11_0))).
% 0.19/0.41 cnf(i_0_96, plain, (subset(X1,X1))).
% 0.19/0.41 cnf(i_0_86, plain, (empty(esk13_1(X1)))).
% 0.19/0.41 cnf(i_0_51, plain, (element(esk7_1(X1),X1))).
% 0.19/0.41 cnf(i_0_87, plain, (element(esk13_1(X1),powerset(X1)))).
% 0.19/0.41 cnf(i_0_50, plain, (relation_of2(esk6_2(X1,X2),X1,X2))).
% 0.19/0.41 cnf(i_0_52, plain, (relation_of2_as_subset(esk8_2(X1,X2),X1,X2))).
% 0.19/0.41 cnf(i_0_106, negated_conjecture, (~empty_carrier(esk18_0))).
% 0.19/0.41 cnf(i_0_84, plain, (~empty_carrier(esk12_0))).
% 0.19/0.41 cnf(i_0_89, plain, (~empty_carrier(esk15_0))).
% 0.19/0.41 cnf(i_0_88, plain, (~empty(esk14_0))).
% 0.19/0.41 cnf(i_0_56, plain, (~empty(powerset(X1)))).
% 0.19/0.41 cnf(i_0_102, negated_conjecture, (~relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)|~latt_element_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0))).
% 0.19/0.41 cnf(i_0_101, negated_conjecture, (relstr_set_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)|latt_element_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0))).
% 0.19/0.41 cnf(i_0_112, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.41 cnf(i_0_39, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_37, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 0.19/0.41 cnf(i_0_38, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_35, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_34, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 0.19/0.41 cnf(i_0_111, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.41 cnf(i_0_71, plain, (empty_carrier(X1)|~lattice(X1)|~empty_carrier(poset_of_lattice(X1))|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_55, plain, (empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1))).
% 0.19/0.41 cnf(i_0_77, plain, (empty(X1)|~empty(esk10_1(X1)))).
% 0.19/0.41 cnf(i_0_113, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.41 cnf(i_0_2, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.41 cnf(i_0_91, plain, (empty_carrier(X1)|~empty(esk16_1(X1))|~one_sorted_str(X1))).
% 0.19/0.41 cnf(i_0_97, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_108, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.41 cnf(i_0_8, plain, (join_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_7, plain, (join_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_6, plain, (meet_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_5, plain, (meet_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_4, plain, (meet_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_3, plain, (join_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_107, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_110, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 0.19/0.41 cnf(i_0_95, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_10, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.19/0.41 cnf(i_0_16, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.19/0.41 cnf(i_0_26, plain, (empty_carrier(X1)|rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_30, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_29, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_93, plain, (k2_lattice3(X1)=relation_of_lattice(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_17, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 0.19/0.41 cnf(i_0_98, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.41 cnf(i_0_72, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 0.19/0.41 cnf(i_0_94, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_78, plain, (empty(X1)|element(esk10_1(X1),powerset(X1)))).
% 0.19/0.41 cnf(i_0_28, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_27, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_33, plain, (relation(relation_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_54, plain, (empty(X1)|~relation_of2(X2,X1,X1)|~empty_carrier(rel_str_of(X1,X2)))).
% 0.19/0.41 cnf(i_0_24, plain, (reflexive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_23, plain, (antisymmetric(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_22, plain, (transitive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_15, plain, (cast_to_el_of_lattice(X1,X2)=X2|empty_carrier(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_14, plain, (cast_to_el_of_LattPOSet(X1,X2)=X2|empty_carrier(X1)|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_92, plain, (element(esk16_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))).
% 0.19/0.41 cnf(i_0_43, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_62, plain, (relation(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_61, plain, (reflexive(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_60, plain, (antisymmetric(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_59, plain, (transitive(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_109, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.41 cnf(i_0_42, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_32, plain, (element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))|empty_carrier(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_13, plain, (rel_str_of(the_carrier(X1),k2_lattice3(X1))=poset_of_lattice(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_21, plain, (v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_20, plain, (relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_11, plain, (lattice(X1)|empty_carrier(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_associative(X1)|~meet_commutative(X1)|~join_associative(X1)|~join_commutative(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_73, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 0.19/0.41 cnf(i_0_74, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 0.19/0.41 cnf(i_0_65, plain, (reflexive_relstr(rel_str_of(X1,X2))|~v1_partfun1(X2,X1,X1)|~transitive(X2)|~antisymmetric(X2)|~reflexive(X2)|~relation_of2(X2,X1,X1))).
% 0.19/0.41 cnf(i_0_64, plain, (transitive_relstr(rel_str_of(X1,X2))|~v1_partfun1(X2,X1,X1)|~transitive(X2)|~antisymmetric(X2)|~reflexive(X2)|~relation_of2(X2,X1,X1))).
% 0.19/0.41 cnf(i_0_31, plain, (element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))|empty_carrier(X1)|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_99, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_58, plain, (v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 0.19/0.41 cnf(i_0_100, plain, (relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~element(X3,the_carrier(X1))|~lattice(X1)|~latt_str(X1))).
% 0.19/0.41 cnf(i_0_63, plain, (antisymmetric_relstr(rel_str_of(X1,X2))|~v1_partfun1(X2,X1,X1)|~transitive(X2)|~antisymmetric(X2)|~reflexive(X2)|~relation_of2(X2,X1,X1))).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 5 steps
% 0.19/0.41 cnf(i_0_106, negated_conjecture, (~empty_carrier(esk18_0)), inference(start_rule)).
% 0.19/0.41 cnf(i_0_118, plain, (~empty_carrier(esk18_0)), inference(extension_rule, [i_0_92])).
% 0.19/0.41 cnf(i_0_1233, plain, (element(esk16_1(esk18_0),powerset(the_carrier(esk18_0)))), inference(extension_rule, [i_0_108])).
% 0.19/0.41 cnf(i_0_1235, plain, (~one_sorted_str(esk18_0)), inference(etableau_closure_rule, [i_0_1235, ...])).
% 0.19/0.41 cnf(i_0_1619, plain, (subset(esk16_1(esk18_0),the_carrier(esk18_0))), inference(etableau_closure_rule, [i_0_1619, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # Child (1333) has found a proof.
% 0.19/0.41
% 0.19/0.41 # Proof search is over...
% 0.19/0.41 # Freeing feature tree
%------------------------------------------------------------------------------