TSTP Solution File: SET802+4 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET802+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n024.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 01:02:44 EDT 2022
% Result : Theorem 1.30s 0.53s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET802+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % 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 : n024.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 : Mon Jul 11 09:07:28 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___303_C18_F1_URBAN_S0Y
% 0.12/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.37 #
% 0.12/0.37 # Number of axioms: 141 Number of unprocessed: 141
% 0.12/0.37 # Tableaux proof search.
% 0.12/0.37 # APR header successfully linked.
% 0.12/0.37 # Hello from C++
% 0.12/0.37 # The folding up rule is enabled...
% 0.12/0.37 # Local unification is enabled...
% 0.12/0.37 # Any saturation attempts will use folding labels...
% 0.12/0.37 # 141 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 5 conjectures.
% 0.12/0.37 # There are 5 start rule candidates:
% 0.12/0.37 # Found 3 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 5 start rule tableaux created.
% 0.12/0.37 # 138 extension rule candidate clauses
% 0.12/0.37 # 3 unit axiom clauses
% 0.12/0.37
% 0.12/0.37 # Requested 8, 32 cores available to the main process.
% 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 5
% 0.12/0.37 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 18 tableaux to operate on
% 1.30/0.53 # There were 1 total branch saturation attempts.
% 1.30/0.53 # There were 0 of these attempts blocked.
% 1.30/0.53 # There were 0 deferred branch saturation attempts.
% 1.30/0.53 # There were 0 free duplicated saturations.
% 1.30/0.53 # There were 1 total successful branch saturations.
% 1.30/0.53 # There were 0 successful branch saturations in interreduction.
% 1.30/0.53 # There were 0 successful branch saturations on the branch.
% 1.30/0.53 # There were 1 successful branch saturations after the branch.
% 1.30/0.53 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/0.53 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/0.53 # Begin clausification derivation
% 1.30/0.53
% 1.30/0.53 # End clausification derivation
% 1.30/0.53 # Begin listing active clauses obtained from FOF to CNF conversion
% 1.30/0.53 cnf(i_0_77, negated_conjecture, (subset(esk16_0,esk15_0))).
% 1.30/0.53 cnf(i_0_78, negated_conjecture, (order(esk14_0,esk15_0))).
% 1.30/0.53 cnf(i_0_15, plain, (~member(X1,empty_set))).
% 1.30/0.53 cnf(i_0_19, plain, (member(X1,singleton(X2))|X1!=X2)).
% 1.30/0.53 cnf(i_0_20, plain, (X1=X2|~member(X1,singleton(X2)))).
% 1.30/0.53 cnf(i_0_5, plain, (subset(X1,X2)|~equal_set(X2,X1))).
% 1.30/0.53 cnf(i_0_6, plain, (subset(X1,X2)|~equal_set(X1,X2))).
% 1.30/0.53 cnf(i_0_37, plain, (order(X1,X2)|~total_order(X1,X2))).
% 1.30/0.53 cnf(i_0_30, plain, (order(X1,X2)|~epred1_2(X1,X2))).
% 1.30/0.53 cnf(i_0_31, plain, (epred1_2(X1,X2)|~order(X1,X2))).
% 1.30/0.53 cnf(i_0_7, plain, (member(X1,power_set(X2))|~subset(X1,X2))).
% 1.30/0.53 cnf(i_0_21, plain, (member(X1,unordered_pair(X3,X2))|X1!=X2)).
% 1.30/0.53 cnf(i_0_22, plain, (member(X1,unordered_pair(X2,X3))|X1!=X2)).
% 1.30/0.53 cnf(i_0_8, plain, (subset(X1,X2)|~member(X1,power_set(X2)))).
% 1.30/0.53 cnf(i_0_2, plain, (subset(X1,X2)|member(esk1_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_3, plain, (member(X3,X2)|~subset(X1,X2)|~member(X3,X1))).
% 1.30/0.53 cnf(i_0_4, plain, (equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2))).
% 1.30/0.53 cnf(i_0_28, plain, (member(X1,product(X2))|member(esk3_2(X1,X2),X2))).
% 1.30/0.53 cnf(i_0_75, negated_conjecture, (member(esk17_0,esk16_0)|least(esk17_0,esk14_0,esk16_0))).
% 1.30/0.53 cnf(i_0_12, plain, (member(X1,union(X3,X2))|~member(X1,X2))).
% 1.30/0.53 cnf(i_0_13, plain, (member(X1,union(X2,X3))|~member(X1,X2))).
% 1.30/0.53 cnf(i_0_24, plain, (member(X3,sum(X2))|~member(X3,X1)|~member(X1,X2))).
% 1.30/0.53 cnf(i_0_23, plain, (X1=X3|X1=X2|~member(X1,unordered_pair(X2,X3)))).
% 1.30/0.53 cnf(i_0_29, plain, (member(X1,X3)|~member(X3,X2)|~member(X1,product(X2)))).
% 1.30/0.53 cnf(i_0_25, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum(X2)))).
% 1.30/0.53 cnf(i_0_26, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum(X2)))).
% 1.30/0.53 cnf(i_0_16, plain, (member(X1,X3)|member(X1,difference(X2,X3))|~member(X1,X2))).
% 1.30/0.53 cnf(i_0_35, plain, (total_order(X1,X2)|member(esk4_2(X1,X2),X2)|~order(X1,X2))).
% 1.30/0.53 cnf(i_0_34, plain, (total_order(X1,X2)|member(esk5_2(X1,X2),X2)|~order(X1,X2))).
% 1.30/0.53 cnf(i_0_10, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 1.30/0.53 cnf(i_0_11, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 1.30/0.53 cnf(i_0_18, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))).
% 1.30/0.53 cnf(i_0_1, plain, (subset(X1,X2)|~member(esk1_2(X1,X2),X2))).
% 1.30/0.53 cnf(i_0_27, plain, (member(X1,product(X2))|~member(X1,esk3_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_9, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 1.30/0.53 cnf(i_0_17, plain, (~member(X1,X2)|~member(X1,difference(X3,X2)))).
% 1.30/0.53 cnf(i_0_14, plain, (member(X1,X3)|member(X1,X2)|~member(X1,union(X2,X3)))).
% 1.30/0.53 cnf(i_0_141, plain, (apply(X3,X1,X1)|~member(X1,X2)|~epred1_2(X3,X2))).
% 1.30/0.53 cnf(i_0_47, plain, (member(X1,X2)|~greatest(X1,X3,X2))).
% 1.30/0.53 cnf(i_0_51, plain, (member(X1,X2)|~least(X1,X3,X2))).
% 1.30/0.53 cnf(i_0_56, plain, (member(X1,X2)|~max(X1,X3,X2))).
% 1.30/0.53 cnf(i_0_61, plain, (member(X1,X2)|~min(X1,X3,X2))).
% 1.30/0.53 cnf(i_0_138, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk19_2(X1,X2),X1)|member(esk21_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_137, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk19_2(X1,X2),X1)|member(esk22_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_136, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk19_2(X1,X2),X1)|member(esk23_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_132, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk20_2(X1,X2),X1)|member(esk21_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_131, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk20_2(X1,X2),X1)|member(esk22_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_130, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk20_2(X1,X2),X1)|member(esk23_2(X1,X2),X1))).
% 1.30/0.53 cnf(i_0_114, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk21_2(X1,X2),X1)|esk20_2(X1,X2)!=esk19_2(X1,X2))).
% 1.30/0.53 cnf(i_0_113, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk22_2(X1,X2),X1)|esk20_2(X1,X2)!=esk19_2(X1,X2))).
% 1.30/0.53 cnf(i_0_112, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk23_2(X1,X2),X1)|esk20_2(X1,X2)!=esk19_2(X1,X2))).
% 1.30/0.53 cnf(i_0_50, plain, (apply(X3,X4,X1)|~member(X1,X2)|~least(X4,X3,X2))).
% 1.30/0.53 cnf(i_0_46, plain, (apply(X3,X1,X4)|~member(X1,X2)|~greatest(X4,X3,X2))).
% 1.30/0.53 cnf(i_0_40, plain, (apply(X2,X4,X1)|~member(X4,X3)|~upper_bound(X1,X2,X3))).
% 1.30/0.53 cnf(i_0_43, plain, (apply(X2,X1,X4)|~member(X4,X3)|~lower_bound(X1,X2,X3))).
% 1.30/0.53 cnf(i_0_52, plain, (max(X1,X2,X3)|esk10_3(X2,X3,X1)!=X1|~member(X1,X3))).
% 1.30/0.53 cnf(i_0_57, plain, (min(X1,X2,X3)|esk11_3(X2,X3,X1)!=X1|~member(X1,X3))).
% 1.30/0.53 cnf(i_0_39, plain, (upper_bound(X3,X1,X2)|member(esk6_3(X1,X2,X3),X2))).
% 1.30/0.53 cnf(i_0_42, plain, (lower_bound(X3,X1,X2)|member(esk7_3(X1,X2,X3),X2))).
% 1.30/0.53 cnf(i_0_36, plain, (apply(X4,X3,X1)|apply(X4,X1,X3)|~member(X3,X2)|~member(X1,X2)|~total_order(X4,X2))).
% 1.30/0.53 cnf(i_0_55, plain, (X1=X4|~member(X1,X2)|~apply(X3,X4,X1)|~max(X4,X3,X2))).
% 1.30/0.53 cnf(i_0_60, plain, (X1=X4|~member(X1,X2)|~apply(X3,X1,X4)|~min(X4,X3,X2))).
% 1.30/0.53 cnf(i_0_45, plain, (greatest(X3,X1,X2)|member(esk8_3(X1,X2,X3),X2)|~member(X3,X2))).
% 1.30/0.53 cnf(i_0_49, plain, (least(X3,X1,X2)|member(esk9_3(X1,X2,X3),X2)|~member(X3,X2))).
% 1.30/0.53 cnf(i_0_54, plain, (max(X3,X1,X2)|member(esk10_3(X1,X2,X3),X2)|~member(X3,X2))).
% 1.30/0.53 cnf(i_0_59, plain, (min(X3,X1,X2)|member(esk11_3(X1,X2,X3),X2)|~member(X3,X2))).
% 1.30/0.53 cnf(i_0_126, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk21_2(X1,X2),X1)|apply(X2,esk19_2(X1,X2),esk20_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_120, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk21_2(X1,X2),X1)|apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_125, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk22_2(X1,X2),X1)|apply(X2,esk19_2(X1,X2),esk20_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_119, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk22_2(X1,X2),X1)|apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_124, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk23_2(X1,X2),X1)|apply(X2,esk19_2(X1,X2),esk20_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_118, plain, (epred1_2(X2,X1)|member(esk18_2(X1,X2),X1)|member(esk23_2(X1,X2),X1)|apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_135, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk19_2(X2,X1),X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_134, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk19_2(X2,X1),X2)|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_129, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_128, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_33, plain, (total_order(X1,X2)|~order(X1,X2)|~apply(X1,esk4_2(X1,X2),esk5_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_32, plain, (total_order(X1,X2)|~order(X1,X2)|~apply(X1,esk5_2(X1,X2),esk4_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_111, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|esk20_2(X2,X1)!=esk19_2(X2,X1))).
% 1.30/0.53 cnf(i_0_110, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))|esk20_2(X2,X1)!=esk19_2(X2,X1))).
% 1.30/0.53 cnf(i_0_53, plain, (max(X2,X1,X3)|apply(X1,X2,esk10_3(X1,X3,X2))|~member(X2,X3))).
% 1.30/0.53 cnf(i_0_58, plain, (min(X3,X1,X2)|apply(X1,esk11_3(X1,X2,X3),X3)|~member(X3,X2))).
% 1.30/0.53 cnf(i_0_140, plain, (X1=X3|~member(X3,X2)|~member(X1,X2)|~epred1_2(X4,X2)|~apply(X4,X3,X1)|~apply(X4,X1,X3))).
% 1.30/0.53 cnf(i_0_108, plain, (epred1_2(X2,X1)|member(esk19_2(X1,X2),X1)|member(esk21_2(X1,X2),X1)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_107, plain, (epred1_2(X2,X1)|member(esk19_2(X1,X2),X1)|member(esk22_2(X1,X2),X1)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_106, plain, (epred1_2(X2,X1)|member(esk19_2(X1,X2),X1)|member(esk23_2(X1,X2),X1)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_102, plain, (epred1_2(X2,X1)|member(esk20_2(X1,X2),X1)|member(esk21_2(X1,X2),X1)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_101, plain, (epred1_2(X2,X1)|member(esk20_2(X1,X2),X1)|member(esk22_2(X1,X2),X1)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_100, plain, (epred1_2(X2,X1)|member(esk20_2(X1,X2),X1)|member(esk23_2(X1,X2),X1)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_133, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk19_2(X2,X1),X2)|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_127, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_84, plain, (epred1_2(X2,X1)|member(esk21_2(X1,X2),X1)|esk20_2(X1,X2)!=esk19_2(X1,X2)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_83, plain, (epred1_2(X2,X1)|member(esk22_2(X1,X2),X1)|esk20_2(X1,X2)!=esk19_2(X1,X2)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_82, plain, (epred1_2(X2,X1)|member(esk23_2(X1,X2),X1)|esk20_2(X1,X2)!=esk19_2(X1,X2)|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_109, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|esk20_2(X2,X1)!=esk19_2(X2,X1)|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_123, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_122, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_117, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_116, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_74, negated_conjecture, (least(esk17_0,esk14_0,esk16_0)|greatest_lower_bound(esk17_0,esk16_0,esk14_0,esk15_0))).
% 1.30/0.53 cnf(i_0_41, plain, (lower_bound(X2,X1,X3)|~apply(X1,X2,esk7_3(X1,X3,X2)))).
% 1.30/0.53 cnf(i_0_38, plain, (upper_bound(X3,X1,X2)|~apply(X1,esk6_3(X1,X2,X3),X3))).
% 1.30/0.53 cnf(i_0_139, plain, (apply(X5,X1,X4)|~member(X4,X2)|~member(X3,X2)|~member(X1,X2)|~epred1_2(X5,X2)|~apply(X5,X3,X4)|~apply(X5,X1,X3))).
% 1.30/0.53 cnf(i_0_96, plain, (epred1_2(X2,X1)|member(esk21_2(X1,X2),X1)|apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_90, plain, (epred1_2(X2,X1)|member(esk21_2(X1,X2),X1)|apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_95, plain, (epred1_2(X2,X1)|member(esk22_2(X1,X2),X1)|apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_89, plain, (epred1_2(X2,X1)|member(esk22_2(X1,X2),X1)|apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_94, plain, (epred1_2(X2,X1)|member(esk23_2(X1,X2),X1)|apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_88, plain, (epred1_2(X2,X1)|member(esk23_2(X1,X2),X1)|apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))|~apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)))).
% 1.30/0.53 cnf(i_0_121, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_115, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_105, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_104, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_99, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_98, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_48, plain, (least(X2,X1,X3)|~member(X2,X3)|~apply(X1,X2,esk9_3(X1,X3,X2)))).
% 1.30/0.53 cnf(i_0_44, plain, (greatest(X3,X1,X2)|~member(X3,X2)|~apply(X1,esk8_3(X1,X2,X3),X3))).
% 1.30/0.53 cnf(i_0_81, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|esk20_2(X2,X1)!=esk19_2(X2,X1)|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_80, plain, (epred1_2(X1,X2)|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))|esk20_2(X2,X1)!=esk19_2(X2,X1)|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.53 cnf(i_0_103, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_97, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_79, plain, (epred1_2(X1,X2)|esk20_2(X2,X1)!=esk19_2(X2,X1)|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_93, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_92, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_87, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_86, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))|apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_67, plain, (member(X1,X2)|~least_upper_bound(X1,X2,X3,X4))).
% 1.30/0.54 cnf(i_0_73, plain, (member(X1,X2)|~greatest_lower_bound(X1,X2,X3,X4))).
% 1.30/0.54 cnf(i_0_66, plain, (upper_bound(X1,X2,X3)|~least_upper_bound(X1,X3,X2,X4))).
% 1.30/0.54 cnf(i_0_72, plain, (lower_bound(X1,X2,X3)|~greatest_lower_bound(X1,X3,X2,X4))).
% 1.30/0.54 cnf(i_0_91, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_85, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))|~apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)))).
% 1.30/0.54 cnf(i_0_76, negated_conjecture, (~member(esk17_0,esk16_0)|~least(esk17_0,esk14_0,esk16_0)|~greatest_lower_bound(esk17_0,esk16_0,esk14_0,esk15_0))).
% 1.30/0.54 cnf(i_0_65, plain, (apply(X3,X5,X1)|~member(X1,X2)|~upper_bound(X1,X3,X4)|~least_upper_bound(X5,X4,X3,X2))).
% 1.30/0.54 cnf(i_0_71, plain, (apply(X3,X1,X5)|~member(X1,X2)|~lower_bound(X1,X3,X4)|~greatest_lower_bound(X5,X4,X3,X2))).
% 1.30/0.54 cnf(i_0_64, plain, (least_upper_bound(X1,X2,X3,X4)|member(esk12_4(X1,X2,X3,X4),X4)|~member(X1,X2)|~upper_bound(X1,X3,X2))).
% 1.30/0.54 cnf(i_0_70, plain, (greatest_lower_bound(X1,X2,X3,X4)|member(esk13_4(X1,X2,X3,X4),X4)|~member(X1,X2)|~lower_bound(X1,X3,X2))).
% 1.30/0.54 cnf(i_0_63, plain, (least_upper_bound(X1,X2,X3,X4)|upper_bound(esk12_4(X1,X2,X3,X4),X3,X2)|~member(X1,X2)|~upper_bound(X1,X3,X2))).
% 1.30/0.54 cnf(i_0_69, plain, (greatest_lower_bound(X1,X2,X3,X4)|lower_bound(esk13_4(X1,X2,X3,X4),X3,X2)|~member(X1,X2)|~lower_bound(X1,X3,X2))).
% 1.30/0.54 cnf(i_0_62, plain, (least_upper_bound(X2,X3,X1,X4)|~member(X2,X3)|~upper_bound(X2,X1,X3)|~apply(X1,X2,esk12_4(X2,X3,X1,X4)))).
% 1.30/0.54 cnf(i_0_68, plain, (greatest_lower_bound(X2,X3,X1,X4)|~member(X2,X3)|~lower_bound(X2,X1,X3)|~apply(X1,esk13_4(X2,X3,X1,X4),X2))).
% 1.30/0.54 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 1.30/0.54 # Begin printing tableau
% 1.30/0.54 # Found 5 steps
% 1.30/0.54 cnf(i_0_77, negated_conjecture, (subset(esk16_0,esk15_0)), inference(start_rule)).
% 1.30/0.54 cnf(i_0_150, plain, (subset(esk16_0,esk15_0)), inference(extension_rule, [i_0_7])).
% 1.30/0.54 cnf(i_0_621, plain, (member(esk16_0,power_set(esk15_0))), inference(extension_rule, [i_0_3])).
% 1.30/0.54 cnf(i_0_645, plain, (member(esk16_0,empty_set)), inference(closure_rule, [i_0_15])).
% 1.30/0.54 cnf(i_0_646, plain, (~subset(power_set(esk15_0),empty_set)), inference(etableau_closure_rule, [i_0_646, ...])).
% 1.30/0.54 # End printing tableau
% 1.30/0.54 # SZS output end
% 1.30/0.54 # Branches closed with saturation will be marked with an "s"
% 1.30/0.54 # Child (3039) has found a proof.
% 1.30/0.54
% 1.30/0.54 # There were 3 total branch saturation attempts.
% 1.30/0.54 # There were 0 of these attempts blocked.
% 1.30/0.54 # There were 0 deferred branch saturation attempts.
% 1.30/0.54 # There were 0 free duplicated saturations.
% 1.30/0.54 # There were 3 total successful branch saturations.
% 1.30/0.54 # There were 0 successful branch saturations in interreduction.
% 1.30/0.54 # There were 0 successful branch saturations on the branch.
% 1.30/0.54 # There were 3 successful branch saturations after the branch.
% 1.30/0.54 # Proof search is over...
% 1.30/0.54 # Freeing feature tree
%------------------------------------------------------------------------------