TSTP Solution File: SEU353+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU353+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 : n029.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 09:26:07 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 11:56:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 # No SInE strategy applied
% 0.13/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.13/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.37 #
% 0.13/0.37 # Number of axioms: 89 Number of unprocessed: 89
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.38 # The folding up rule is enabled...
% 0.13/0.38 # Local unification is enabled...
% 0.13/0.38 # Any saturation attempts will use folding labels...
% 0.13/0.38 # 89 beginning clauses after preprocessing and clausification
% 0.13/0.38 # Creating start rules for all 4 conjectures.
% 0.13/0.38 # There are 4 start rule candidates:
% 0.13/0.38 # Found 51 unit axioms.
% 0.13/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38 # 4 start rule tableaux created.
% 0.13/0.38 # 38 extension rule candidate clauses
% 0.13/0.38 # 51 unit axiom clauses
% 0.13/0.38
% 0.13/0.38 # Requested 8, 32 cores available to the main process.
% 0.13/0.38 # There are not enough tableaux to fork, creating more from the initial 4
% 0.13/0.38 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.38 # We now have 14 tableaux to operate on
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_63, plain, (function(esk6_0))).
% 0.13/0.39 cnf(i_0_64, plain, (relation(esk6_0))).
% 0.13/0.39 cnf(i_0_62, plain, (one_to_one(esk6_0))).
% 0.13/0.39 cnf(i_0_49, plain, (empty(empty_set))).
% 0.13/0.39 cnf(i_0_61, plain, (empty(esk6_0))).
% 0.13/0.39 cnf(i_0_67, plain, (empty(esk8_0))).
% 0.13/0.39 cnf(i_0_43, plain, (one_sorted_str(esk1_0))).
% 0.13/0.39 cnf(i_0_89, plain, (one_sorted_str(esk14_0))).
% 0.13/0.39 cnf(i_0_109, negated_conjecture, (one_sorted_str(esk16_0))).
% 0.13/0.39 cnf(i_0_80, plain, (~empty(esk12_0))).
% 0.13/0.39 cnf(i_0_88, plain, (~empty_carrier(esk14_0))).
% 0.13/0.39 cnf(i_0_110, negated_conjecture, (~empty_carrier(esk16_0))).
% 0.13/0.39 cnf(i_0_104, plain, (X1=empty_set|~empty(X1))).
% 0.13/0.39 cnf(i_0_54, plain, (function(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_72, plain, (function(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_33, plain, (relation(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_55, plain, (relation(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_73, plain, (relation(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_86, plain, (relation(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_52, plain, (symmetric(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_84, plain, (symmetric(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_50, plain, (transitive(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_82, plain, (transitive(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_53, plain, (reflexive(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_85, plain, (reflexive(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_71, plain, (one_to_one(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_78, plain, (empty(esk11_1(X1)))).
% 0.13/0.39 cnf(i_0_51, plain, (antisymmetric(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_83, plain, (antisymmetric(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_96, plain, (subset(X1,X1))).
% 0.13/0.39 cnf(i_0_108, negated_conjecture, (element(esk17_0,the_carrier(esk16_0)))).
% 0.13/0.39 cnf(i_0_106, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.13/0.39 cnf(i_0_48, plain, (~empty(powerset(X1)))).
% 0.13/0.39 cnf(i_0_36, plain, (function(identity_on_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_45, plain, (element(esk3_1(X1),X1))).
% 0.13/0.39 cnf(i_0_65, plain, (empty(X1)|~empty(esk7_1(X1)))).
% 0.13/0.39 cnf(i_0_26, plain, (identity_as_relation_of(the_carrier(X1))=identity_on_carrier(X1)|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_4, plain, (reflexive(X1)|~relation(X1)|~symmetric(X1)|~transitive(X1))).
% 0.13/0.39 cnf(i_0_79, plain, (element(esk11_1(X1),powerset(X1)))).
% 0.13/0.39 cnf(i_0_47, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 0.13/0.39 cnf(i_0_90, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk15_1(X1)))).
% 0.13/0.39 cnf(i_0_105, plain, (~empty(X2)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_58, plain, (function(esk5_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_75, plain, (function(esk10_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_59, plain, (relation(esk5_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_76, plain, (relation(esk10_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_66, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))).
% 0.13/0.39 cnf(i_0_97, plain, (element(X1,X2)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_98, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.13/0.39 cnf(i_0_100, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.13/0.39 cnf(i_0_99, plain, (apply(identity_as_relation_of(X2),X1)=X1|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_101, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.13/0.39 cnf(i_0_91, plain, (empty_carrier(X1)|element(esk15_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_56, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 0.13/0.39 cnf(i_0_74, plain, (relation_of2(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_87, plain, (relation_of2(esk13_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_32, plain, (v1_partfun1(identity_as_relation_of(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_81, plain, (v1_partfun1(esk13_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_70, plain, (quasi_total(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_68, plain, (bijective(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_69, plain, (onto(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_31, plain, (relation_of2_as_subset(identity_as_relation_of(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_103, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.39 cnf(i_0_102, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.39 cnf(i_0_35, plain, (quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_34, plain, (re# There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_63, plain, (function(esk6_0))).
% 0.13/0.39 cnf(i_0_64, plain, (relation(esk6_0))).
% 0.13/0.39 cnf(i_0_62, plain, (one_to_one(esk6_0))).
% 0.13/0.39 cnf(i_0_49, plain, (empty(empty_set))).
% 0.13/0.39 cnf(i_0_61, plain, (empty(esk6_0))).
% 0.13/0.39 cnf(i_0_67, plain, (empty(esk8_0))).
% 0.13/0.39 cnf(i_0_43, plain, (one_sorted_str(esk1_0))).
% 0.13/0.39 cnf(i_0_89, plain, (one_sorted_str(esk14_0))).
% 0.13/0.39 cnf(i_0_109, negated_conjecture, (one_sorted_str(esk16_0))).
% 0.13/0.39 cnf(i_0_80, plain, (~empty(esk12_0))).
% 0.13/0.39 cnf(i_0_88, plain, (~empty_carrier(esk14_0))).
% 0.13/0.39 cnf(i_0_110, negated_conjecture, (~empty_carrier(esk16_0))).
% 0.13/0.39 cnf(i_0_104, plain, (X1=empty_set|~empty(X1))).
% 0.13/0.39 cnf(i_0_54, plain, (function(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_72, plain, (function(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_33, plain, (relation(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_55, plain, (relation(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_73, plain, (relation(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_86, plain, (relation(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_52, plain, (symmetric(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_84, plain, (symmetric(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_50, plain, (transitive(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_82, plain, (transitive(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_53, plain, (reflexive(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_85, plain, (reflexive(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_71, plain, (one_to_one(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_78, plain, (empty(esk11_1(X1)))).
% 0.13/0.39 cnf(i_0_51, plain, (antisymmetric(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_83, plain, (antisymmetric(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_96, plain, (subset(X1,X1))).
% 0.13/0.39 cnf(i_0_108, negated_conjecture, (element(esk17_0,the_carrier(esk16_0)))).
% 0.13/0.39 cnf(i_0_106, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.13/0.39 cnf(i_0_48, plain, (~empty(powerset(X1)))).
% 0.13/0.39 cnf(i_0_36, plain, (function(identity_on_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_45, plain, (element(esk3_1(X1),X1))).
% 0.13/0.39 cnf(i_0_65, plain, (empty(X1)|~empty(esk7_1(X1)))).
% 0.13/0.39 cnf(i_0_26, plain, (identity_as_relation_of(the_carrier(X1))=identity_on_carrier(X1)|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_4, plain, (reflexive(X1)|~relation(X1)|~symmetric(X1)|~transitive(X1))).
% 0.13/0.39 cnf(i_0_79, plain, (element(esk11_1(X1),powerset(X1)))).
% 0.13/0.39 cnf(i_0_47, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 0.13/0.39 cnf(i_0_90, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk15_1(X1)))).
% 0.13/0.39 cnf(i_0_105, plain, (~empty(X2)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_58, plain, (function(esk5_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_75, plain, (function(esk10_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_59, plain, (relation(esk5_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_76, plain, (relation(esk10_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_66, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))).
% 0.13/0.39 cnf(i_0_97, plain, (element(X1,X2)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_98, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.13/0.39 cnf(i_0_100, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.13/0.39 cnf(i_0_99, plain, (apply(identity_as_relation_of(X2),X1)=X1|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_101, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.13/0.39 cnf(i_0_91, plain, (empty_carrier(X1)|element(esk15_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_56, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 0.13/0.39 cnf(i_0_74, plain, (relation_of2(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_87, plain, (relation_of2(esk13_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_32, plain, (v1_partfun1(identity_as_relation_of(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_81, plain, (v1_partfun1(esk13_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_70, plain, (quasi_total(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_68, plain, (bijective(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_69, plain, (onto(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_31, plain, (relation_of2_as_subset(identity_as_relation_of(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_103, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.39 cnf(i_0_102, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.39 cnf(i_0_35, plain, (quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_34, plain, (re# SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_63, plain, (function(esk6_0))).
% 0.13/0.39 cnf(i_0_64, plain, (relation(esk6_0))).
% 0.13/0.39 cnf(i_0_62, plain, (one_to_one(esk6_0))).
% 0.13/0.39 cnf(i_0_49, plain, (empty(empty_set))).
% 0.13/0.39 cnf(i_0_61, plain, (empty(esk6_0))).
% 0.13/0.39 cnf(i_0_67, plain, (empty(esk8_0))).
% 0.13/0.39 cnf(i_0_43, plain, (one_sorted_str(esk1_0))).
% 0.13/0.39 cnf(i_0_89, plain, (one_sorted_str(esk14_0))).
% 0.13/0.39 cnf(i_0_109, negated_conjecture, (one_sorted_str(esk16_0))).
% 0.13/0.39 cnf(i_0_80, plain, (~empty(esk12_0))).
% 0.13/0.39 cnf(i_0_88, plain, (~empty_carrier(esk14_0))).
% 0.13/0.39 cnf(i_0_110, negated_conjecture, (~empty_carrier(esk16_0))).
% 0.13/0.39 cnf(i_0_104, plain, (X1=empty_set|~empty(X1))).
% 0.13/0.39 cnf(i_0_54, plain, (function(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_72, plain, (function(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_33, plain, (relation(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_55, plain, (relation(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_73, plain, (relation(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_86, plain, (relation(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_52, plain, (symmetric(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_84, plain, (symmetric(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_50, plain, (transitive(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_82, plain, (transitive(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_53, plain, (reflexive(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_85, plain, (reflexive(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_71, plain, (one_to_one(esk9_1(X1)))).
% 0.13/0.39 cnf(i_0_78, plain, (empty(esk11_1(X1)))).
% 0.13/0.39 cnf(i_0_51, plain, (antisymmetric(identity_as_relation_of(X1)))).
% 0.13/0.39 cnf(i_0_83, plain, (antisymmetric(esk13_1(X1)))).
% 0.13/0.39 cnf(i_0_96, plain, (subset(X1,X1))).
% 0.13/0.39 cnf(i_0_108, negated_conjecture, (element(esk17_0,the_carrier(esk16_0)))).
% 0.13/0.39 cnf(i_0_106, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.13/0.39 cnf(i_0_48, plain, (~empty(powerset(X1)))).
% 0.13/0.39 cnf(i_0_36, plain, (function(identity_on_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_45, plain, (element(esk3_1(X1),X1))).
% 0.13/0.39 cnf(i_0_65, plain, (empty(X1)|~empty(esk7_1(X1)))).
% 0.13/0.39 cnf(i_0_26, plain, (identity_as_relation_of(the_carrier(X1))=identity_on_carrier(X1)|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_4, plain, (reflexive(X1)|~relation(X1)|~symmetric(X1)|~transitive(X1))).
% 0.13/0.39 cnf(i_0_79, plain, (element(esk11_1(X1),powerset(X1)))).
% 0.13/0.39 cnf(i_0_47, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 0.13/0.39 cnf(i_0_90, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk15_1(X1)))).
% 0.13/0.39 cnf(i_0_105, plain, (~empty(X2)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_58, plain, (function(esk5_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_75, plain, (function(esk10_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_59, plain, (relation(esk5_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_76, plain, (relation(esk10_2(X1,X2)))).
% 0.13/0.39 cnf(i_0_66, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))).
% 0.13/0.39 cnf(i_0_97, plain, (element(X1,X2)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_98, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.13/0.39 cnf(i_0_100, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.13/0.39 cnf(i_0_99, plain, (apply(identity_as_relation_of(X2),X1)=X1|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.13/0.39 cnf(i_0_101, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.13/0.39 cnf(i_0_91, plain, (empty_carrier(X1)|element(esk15_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_56, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 0.13/0.39 cnf(i_0_74, plain, (relation_of2(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_87, plain, (relation_of2(esk13_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_32, plain, (v1_partfun1(identity_as_relation_of(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_81, plain, (v1_partfun1(esk13_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_70, plain, (quasi_total(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_68, plain, (bijective(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_69, plain, (onto(esk9_1(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_31, plain, (relation_of2_as_subset(identity_as_relation_of(X1),X1,X1))).
% 0.13/0.39 cnf(i_0_103, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.39 cnf(i_0_102, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.39 cnf(i_0_35, plain, (quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_34, plain, (relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_44, plain, (relation_of2(esk2_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_60, plain, (relation_of2(esk5_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_77, plain, (relation_of2(esk10_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_57, plain, (quasi_total(esk5_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_46, plain, (relation_of2_as_subset(esk4_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_6, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.13/0.39 cnf(i_0_95, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_94, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_41, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_24, plain, (empty(X3)|empty(X2)|~function(X1)|~empty(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_2, plain, (quasi_total(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~v1_partfun1(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_20, plain, (empty(X3)|v1_partfun1(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_23, plain, (empty(X3)|empty(X2)|v1_partfun1(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_9, plain, (one_to_one(X1)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3)|~bijective(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_17, plain, (one_to_one(X1)|~function(X1)|~reflexive(X1)|~relation_of2(X1,X2,X2)|~v1_partfun1(X1,X2,X2)|~quasi_total(X1,X2,X2))).
% 0.13/0.39 cnf(i_0_7, plain, (onto(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3)|~bijective(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_11, plain, (bijective(X1,X2,X3)|~function(X1)|~one_to_one(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3)|~onto(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_14, plain, (bijective(X1,X2,X2)|~function(X1)|~reflexive(X1)|~relation_of2(X1,X2,X2)|~v1_partfun1(X1,X2,X2)|~quasi_total(X1,X2,X2))).
% 0.13/0.39 cnf(i_0_15, plain, (onto(X1,X2,X2)|~function(X1)|~reflexive(X1)|~relation_of2(X1,X2,X2)|~v1_partfun1(X1,X2,X2)|~quasi_total(X1,X2,X2))).
% 0.13/0.39 cnf(i_0_107, negated_conjecture, (apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),esk17_0)!=esk17_0)).
% 0.13/0.39 cnf(i_0_93, plain, (apply_as_element(X1,X3,X2,X4)=apply(X2,X4)|empty(X1)|~function(X2)|~element(X4,X1)|~relation_of2(X2,X1,X3)|~quasi_total(X2,X1,X3))).
% 0.13/0.39 cnf(i_0_37, plain, (empty(X1)|element(apply_as_element(X1,X3,X2,X4),X3)|~function(X2)|~element(X4,X1)|~relation_of2(X2,X1,X3)|~quasi_total(X2,X1,X3))).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 5 steps
% 0.13/0.39 cnf(i_0_109, negated_conjecture, (one_sorted_str(esk16_0)), inference(start_rule)).
% 0.13/0.39 cnf(i_0_114, plain, (one_sorted_str(esk16_0)), inference(extension_rule, [i_0_90])).
% 0.13/0.39 cnf(i_0_520, plain, (empty_carrier(esk16_0)), inference(closure_rule, [i_0_110])).
% 0.13/0.39 cnf(i_0_522, plain, (~empty(esk15_1(esk16_0))), inference(extension_rule, [i_0_65])).
% 0.13/0.39 cnf(i_0_639, plain, (~empty(esk7_1(esk15_1(esk16_0)))), inference(etableau_closure_rule, [i_0_639, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 lation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 0.13/0.39 cnf(i_0_44, plain, (relation_of2(esk2_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_60, plain, (relation_of2(esk5_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_77, plain, (relation_of2(esk10_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_57, plain, (quasi_total(esk5_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_46, plain, (relation_of2_as_subset(esk4_2(X1,X2),X1,X2))).
% 0.13/0.39 cnf(i_0_6, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.13/0.39 cnf(i_0_95, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_94, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_41, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_24, plain, (empty(X3)|empty(X2)|~function(X1)|~empty(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_2, plain, (quasi_total(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~v1_partfun1(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_20, plain, (empty(X3)|v1_partfun1(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_23, plain, (empty(X3)|empty(X2)|v1_partfun1(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_9, plain, (one_to_one(X1)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3)|~bijective(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_17, plain, (one_to_one(X1)|~function(X1)|~reflexive(X1)|~relation_of2(X1,X2,X2)|~v1_partfun1(X1,X2,X2)|~quasi_total(X1,X2,X2))).
% 0.13/0.39 cnf(i_0_7, plain, (onto(X1,X2,X3)|~function(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3)|~bijective(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_11, plain, (bijective(X1,X2,X3)|~function(X1)|~one_to_one(X1)|~relation_of2(X1,X2,X3)|~quasi_total(X1,X2,X3)|~onto(X1,X2,X3))).
% 0.13/0.39 cnf(i_0_14, plain, (bijective(X1,X2,X2)|~function(X1)|~reflexive(X1)|~relation_of2(X1,X2,X2)|~v1_partfun1(X1,X2,X2)|~quasi_total(X1,X2,X2))).
% 0.13/0.39 cnf(i_0_15, plain, (onto(X1,X2,X2)|~function(X1)|~reflexive(X1)|~relation_of2(X1,X2,X2)|~v1_partfun1(X1,X2,X2)|~quasi_total(X1,X2,X2))).
% 0.13/0.39 cnf(i_0_107, negated_conjecture, (apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),esk17_0)!=esk17_0)).
% 0.13/0.39 cnf(i_0_93, plain, (apply_as_element(X1,X3,X2,X4)=apply(X2,X4)|empty(X1)|~function(X2)|~element(X4,X1)|~relation_of2(X2,X1,X3)|~quasi_total(X2,X1,X3))).
% 0.13/0.39 cnf(i_0_37, plain, (empty(X1)|element(apply_as_element(X1,X3,X2,X4),X3)|~function(X2)|~element(X4,X1)|~relation_of2(X2,X1,X3)|~quasi_total(X2,X1,X3))).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 5 steps
% 0.13/0.39 cnf(i_0_109, negated_conjecture, (one_sorted_str(esk16_0)), inference(start_rule)).
% 0.13/0.39 cnf(i_0_114, plain, (one_sorted_str(esk16_0)), inference(extension_rule, [i_0_47])).
% 0.13/0.39 cnf(i_0_517, plain, (empty_carrier(esk16_0)), inference(closure_rule, [i_0_110])).
% 0.13/0.39 cnf(i_0_519, plain, (~empty(the_carrier(esk16_0))), inference(extension_rule, [i_0_65])).
% 0.13/0.39 cnf(i_0_639, plain, (~empty(esk7_1(the_carrier(esk16_0)))), inference(etableau_closure_rule, [i_0_639, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # Child (25212) has found a proof.
% 0.13/0.39
% 0.13/0.40 # Proof search is over...
% 0.13/0.40 # Freeing feature tree
%------------------------------------------------------------------------------