TSTP Solution File: SEV521+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEV521+1 : TPTP v8.1.0. Released v7.3.0.
% 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 17:06:32 EDT 2022
% Result : Theorem 50.46s 6.76s
% Output : CNFRefutation 50.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV521+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % 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 : Tue Jun 28 16:10:01 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___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 0.12/0.37 # and selection function SelectNewComplexAHP.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37 # Number of axioms: 136 Number of unprocessed: 136
% 0.12/0.37 # Tableaux proof search.
% 0.12/0.37 # APR header successfully linked.
% 0.12/0.37 # Hello from C++
% 0.12/0.38 # The folding up rule is enabled...
% 0.12/0.38 # Local unification is enabled...
% 0.12/0.38 # Any saturation attempts will use folding labels...
% 0.12/0.38 # 136 beginning clauses after preprocessing and clausification
% 0.12/0.38 # Creating start rules for all 2 conjectures.
% 0.12/0.38 # There are 2 start rule candidates:
% 0.12/0.38 # Found 6 unit axioms.
% 0.12/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.38 # 2 start rule tableaux created.
% 0.12/0.38 # 130 extension rule candidate clauses
% 0.12/0.38 # 6 unit axiom clauses
% 0.12/0.38
% 0.12/0.38 # Requested 8, 32 cores available to the main process.
% 0.12/0.38 # There are not enough tableaux to fork, creating more from the initial 2
% 0.12/0.38 # Returning from population with 21 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.38 # We now have 21 tableaux to operate on
% 50.46/6.76 # There were 1 total branch saturation attempts.
% 50.46/6.76 # There were 0 of these attempts blocked.
% 50.46/6.76 # There were 0 deferred branch saturation attempts.
% 50.46/6.76 # There were 0 free duplicated saturations.
% 50.46/6.76 # There were 1 total successful branch saturations.
% 50.46/6.76 # There were 0 successful branch saturations in interreduction.
% 50.46/6.76 # There were 0 successful branch saturations on the branch.
% 50.46/6.76 # There were 1 successful branch saturations after the branch.
% 50.46/6.76 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.46/6.76 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.46/6.76 # Begin clausification derivation
% 50.46/6.76
% 50.46/6.76 # End clausification derivation
% 50.46/6.76 # Begin listing active clauses obtained from FOF to CNF conversion
% 50.46/6.76 cnf(i_0_19, plain, (member(X1,singleton(X1)))).
% 50.46/6.76 cnf(i_0_21, plain, (member(X1,unordered_pair(X2,X1)))).
% 50.46/6.76 cnf(i_0_22, plain, (member(X1,unordered_pair(X1,X2)))).
% 50.46/6.76 cnf(i_0_86, negated_conjecture, (esk19_0!=empty_set)).
% 50.46/6.76 cnf(i_0_85, negated_conjecture, (~partition(singleton(esk19_0),esk19_0))).
% 50.46/6.76 cnf(i_0_15, plain, (~member(X1,empty_set))).
% 50.46/6.76 cnf(i_0_76, plain, (non_overlapping(X1)|~partition(X1,X2))).
% 50.46/6.76 cnf(i_0_20, plain, (X1=X2|~member(X1,singleton(X2)))).
% 50.46/6.76 cnf(i_0_77, plain, (partition(X1,esk15_1(X1))|~non_overlapping(X1))).
% 50.46/6.76 cnf(i_0_5, plain, (subset(X1,X2)|~equal_set(X2,X1))).
% 50.46/6.76 cnf(i_0_6, plain, (subset(X1,X2)|~equal_set(X1,X2))).
% 50.46/6.76 cnf(i_0_58, plain, (epred1_2(X1,X2)|~equivalence(X1,X2))).
% 50.46/6.76 cnf(i_0_32, plain, (~disjoint(X1,X2)|~member(X3,X2)|~member(X3,X1))).
% 50.46/6.76 cnf(i_0_57, plain, (equivalence(X1,X2)|~epred1_2(X1,X2))).
% 50.46/6.76 cnf(i_0_17, plain, (~member(X1,difference(X2,X3))|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_7, plain, (member(X1,power_set(X2))|~subset(X1,X2))).
% 50.46/6.76 cnf(i_0_8, plain, (subset(X1,X2)|~member(X1,power_set(X2)))).
% 50.46/6.76 cnf(i_0_1, plain, (subset(X1,X2)|~member(esk1_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_3, plain, (member(X1,X2)|~member(X1,X3)|~subset(X3,X2))).
% 50.46/6.76 cnf(i_0_10, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 50.46/6.76 cnf(i_0_11, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 50.46/6.76 cnf(i_0_18, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))).
% 50.46/6.76 cnf(i_0_2, plain, (member(esk1_2(X1,X2),X1)|subset(X1,X2))).
% 50.46/6.76 cnf(i_0_56, plain, (subset(X1,X2)|~partition(X3,X2)|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_4, plain, (equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2))).
% 50.46/6.76 cnf(i_0_23, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))).
% 50.46/6.76 cnf(i_0_27, plain, (member(X1,product(X2))|~member(X1,esk3_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_30, plain, (disjoint(X1,X2)|member(esk4_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_31, plain, (disjoint(X1,X2)|member(esk4_2(X1,X2),X1))).
% 50.46/6.76 cnf(i_0_61, plain, (member(X1,X2)|~member(X1,equivalence_class(X3,X2,X4)))).
% 50.46/6.76 cnf(i_0_75, plain, (apply(X1,X2,X2)|~pre_order(X1,X3)|~member(X2,X3))).
% 50.46/6.76 cnf(i_0_137, plain, (apply(X1,X2,X2)|~epred1_2(X1,X3)|~member(X2,X3))).
% 50.46/6.76 cnf(i_0_12, plain, (member(X1,union(X2,X3))|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_13, plain, (member(X1,union(X2,X3))|~member(X1,X2))).
% 50.46/6.76 cnf(i_0_60, plain, (apply(X1,X2,X3)|~member(X3,equivalence_class(X2,X4,X1)))).
% 50.46/6.76 cnf(i_0_54, plain, (member(X1,esk5_3(X2,X3,X1))|~partition(X2,X3)|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_55, plain, (member(esk5_3(X1,X2,X3),X1)|~partition(X1,X2)|~member(X3,X2))).
% 50.46/6.76 cnf(i_0_25, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum(X2)))).
% 50.46/6.76 cnf(i_0_28, plain, (member(esk3_2(X1,X2),X2)|member(X1,product(X2)))).
% 50.46/6.76 cnf(i_0_26, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum(X2)))).
% 50.46/6.76 cnf(i_0_29, plain, (member(X1,X2)|~member(X1,product(X3))|~member(X2,X3))).
% 50.46/6.76 cnf(i_0_14, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))).
% 50.46/6.76 cnf(i_0_24, plain, (member(X1,sum(X2))|~member(X1,X3)|~member(X3,X2))).
% 50.46/6.76 cnf(i_0_9, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 50.46/6.76 cnf(i_0_16, plain, (member(X1,difference(X2,X3))|member(X1,X3)|~member(X1,X2))).
% 50.46/6.76 cnf(i_0_59, plain, (member(X1,equivalence_class(X2,X3,X4))|~apply(X4,X2,X1)|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_53, plain, (X1=X2|~partition(X3,X4)|~member(X5,X2)|~member(X5,X1)|~member(X2,X3)|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_79, plain, (X1=unaryUnion(X2)|member(esk18_2(X2,X1),X2)|member(esk17_2(X2,X1),X1))).
% 50.46/6.76 cnf(i_0_73, plain, (pre_order(X1,X2)|member(esk12_2(X1,X2),X2)|member(esk11_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_136, plain, (apply(X1,X2,X3)|~epred1_2(X1,X4)|~apply(X1,X3,X2)|~member(X2,X4)|~member(X3,X4))).
% 50.46/6.76 cnf(i_0_81, plain, (X1=unaryUnion(X2)|~member(esk17_2(X2,X1),X3)|~member(esk17_2(X2,X1),X1)|~member(X3,X2))).
% 50.46/6.76 cnf(i_0_62, plain, (pre_order(X1,X2)|~apply(X1,esk11_2(X1,X2),esk11_2(X1,X2))|~apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_72, plain, (pre_order(X1,X2)|member(esk13_2(X1,X2),X2)|member(esk11_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_71, plain, (pre_order(X1,X2)|member(esk14_2(X1,X2),X2)|member(esk11_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_68, plain, (pre_order(X1,X2)|member(esk11_2(X1,X2),X2)|~apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_67, plain, (pre_order(X1,X2)|member(esk12_2(X1,X2),X2)|~apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_66, plain, (pre_order(X1,X2)|member(esk13_2(X1,X2),X2)|~apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_80, plain, (X1=unaryUnion(X2)|member(esk17_2(X2,X1),esk18_2(X2,X1))|member(esk17_2(X2,X1),X1))).
% 50.46/6.76 cnf(i_0_70, plain, (pre_order(X1,X2)|apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))|member(esk11_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_33, plain, (partition(X1,X2)|esk9_2(X1,X2)!=esk8_2(X1,X2)|~member(esk7_2(X1,X2),X3)|~member(X3,X1)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_65, plain, (pre_order(X1,X2)|member(esk14_2(X1,X2),X2)|~apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_38, plain, (partition(X1,X2)|member(esk7_2(X1,X2),X2)|esk9_2(X1,X2)!=esk8_2(X1,X2)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_74, plain, (apply(X1,X2,X3)|~pre_order(X1,X4)|~apply(X1,X5,X3)|~apply(X1,X2,X5)|~member(X3,X4)|~member(X5,X4)|~member(X2,X4))).
% 50.46/6.76 cnf(i_0_69, plain, (pre_order(X1,X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|member(esk11_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_48, plain, (partition(X1,X2)|member(esk7_2(X1,X2),X2)|member(esk6_2(X1,X2),X1)|esk9_2(X1,X2)!=esk8_2(X1,X2))).
% 50.46/6.76 cnf(i_0_43, plain, (partition(X1,X2)|member(esk6_2(X1,X2),X1)|esk9_2(X1,X2)!=esk8_2(X1,X2)|~member(esk7_2(X1,X2),X3)|~member(X3,X1))).
% 50.46/6.76 cnf(i_0_42, plain, (partition(X1,X2)|member(esk8_2(X1,X2),X1)|member(esk7_2(X1,X2),X2)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_41, plain, (partition(X1,X2)|member(esk9_2(X1,X2),X1)|member(esk7_2(X1,X2),X2)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_52, plain, (partition(X1,X2)|member(esk8_2(X1,X2),X1)|member(esk7_2(X1,X2),X2)|member(esk6_2(X1,X2),X1))).
% 50.46/6.76 cnf(i_0_51, plain, (partition(X1,X2)|member(esk9_2(X1,X2),X1)|member(esk7_2(X1,X2),X2)|member(esk6_2(X1,X2),X1))).
% 50.46/6.76 cnf(i_0_135, plain, (apply(X1,X2,X3)|~epred1_2(X1,X4)|~apply(X1,X5,X3)|~apply(X1,X2,X5)|~member(X3,X4)|~member(X5,X4)|~member(X2,X4))).
% 50.46/6.76 cnf(i_0_37, plain, (partition(X1,X2)|member(esk8_2(X1,X2),X1)|~member(esk7_2(X1,X2),X3)|~member(X3,X1)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_36, plain, (partition(X1,X2)|member(esk9_2(X1,X2),X1)|~member(esk7_2(X1,X2),X3)|~member(X3,X1)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_64, plain, (pre_order(X1,X2)|apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))|~apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_134, plain, (epred1_2(X1,X2)|member(esk23_2(X2,X1),X2)|member(esk21_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_63, plain, (pre_order(X1,X2)|apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))|~apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)))).
% 50.46/6.76 cnf(i_0_47, plain, (partition(X1,X2)|member(esk8_2(X1,X2),X1)|member(esk6_2(X1,X2),X1)|~member(esk7_2(X1,X2),X3)|~member(X3,X1))).
% 50.46/6.76 cnf(i_0_46, plain, (partition(X1,X2)|member(esk9_2(X1,X2),X1)|member(esk6_2(X1,X2),X1)|~member(esk7_2(X1,X2),X3)|~member(X3,X1))).
% 50.46/6.76 cnf(i_0_40, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk8_2(X1,X2))|member(esk7_2(X1,X2),X2)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_133, plain, (epred1_2(X1,X2)|member(esk24_2(X2,X1),X2)|member(esk21_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_132, plain, (epred1_2(X1,X2)|member(esk25_2(X2,X1),X2)|member(esk21_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_87, plain, (epred1_2(X1,X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1))|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_92, plain, (epred1_2(X1,X2)|member(esk23_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_91, plain, (epred1_2(X1,X2)|member(esk24_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_90, plain, (epred1_2(X1,X2)|member(esk25_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_128, plain, (epred1_2(X1,X2)|member(esk23_2(X2,X1),X2)|member(esk22_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_39, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk9_2(X1,X2))|member(esk7_2(X1,X2),X2)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_35, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk8_2(X1,X2))|~member(esk7_2(X1,X2),X3)|~member(X3,X1)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_34, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk9_2(X1,X2))|~member(esk7_2(X1,X2),X3)|~member(X3,X1)|~subset(esk6_2(X1,X2),X2))).
% 50.46/6.76 cnf(i_0_127, plain, (epred1_2(X1,X2)|member(esk24_2(X2,X1),X2)|member(esk22_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_126, plain, (epred1_2(X1,X2)|member(esk25_2(X2,X1),X2)|member(esk22_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_50, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk8_2(X1,X2))|member(esk7_2(X1,X2),X2)|member(esk6_2(X1,X2),X1))).
% 50.46/6.76 cnf(i_0_111, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1))|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_105, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_99, plain, (epred1_2(X1,X2)|member(esk22_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_116, plain, (epred1_2(X1,X2)|member(esk23_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_49, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk9_2(X1,X2))|member(esk7_2(X1,X2),X2)|member(esk6_2(X1,X2),X1))).
% 50.46/6.76 cnf(i_0_115, plain, (epred1_2(X1,X2)|member(esk24_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_114, plain, (epred1_2(X1,X2)|member(esk25_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_110, plain, (epred1_2(X1,X2)|member(esk23_2(X2,X1),X2)|member(esk21_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_109, plain, (epred1_2(X1,X2)|member(esk24_2(X2,X1),X2)|member(esk21_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_122, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk23_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_121, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk24_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_108, plain, (epred1_2(X1,X2)|member(esk25_2(X2,X1),X2)|member(esk21_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_104, plain, (epred1_2(X1,X2)|member(esk23_2(X2,X1),X2)|member(esk22_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_103, plain, (epred1_2(X1,X2)|member(esk24_2(X2,X1),X2)|member(esk22_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_102, plain, (epred1_2(X1,X2)|member(esk25_2(X2,X1),X2)|member(esk22_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_120, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk25_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_129, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_123, plain, (epred1_2(X1,X2)|member(esk22_2(X2,X1),X2)|member(esk20_2(X2,X1),X2)|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_45, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk8_2(X1,X2))|member(esk6_2(X1,X2),X1)|~member(esk7_2(X1,X2),X3)|~member(X3,X1))).
% 50.46/6.76 cnf(i_0_44, plain, (partition(X1,X2)|member(esk10_2(X1,X2),esk9_2(X1,X2))|member(esk6_2(X1,X2),X1)|~member(esk7_2(X1,X2),X3)|~member(X3,X1))).
% 50.46/6.76 cnf(i_0_131, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|member(esk21_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_130, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|member(esk21_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_93, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_89, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_88, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1))|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_98, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk23_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_125, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|member(esk22_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_124, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|member(esk22_2(X2,X1),X2)|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_97, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk24_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_96, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk25_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_117, plain, (epred1_2(X1,X2)|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk23_2(X2,X1),esk25_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_119, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_118, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|member(esk20_2(X2,X1),X2))).
% 50.46/6.76 cnf(i_0_113, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_112, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk22_2(X2,X1),esk21_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_107, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|member(esk21_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_106, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|member(esk21_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_101, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|member(esk22_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_100, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|member(esk22_2(X2,X1),X2)|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_95, plain, (epred1_2(X1,X2)|apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_94, plain, (epred1_2(X1,X2)|apply(X1,esk24_2(X2,X1),esk25_2(X2,X1))|apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))|~apply(X1,esk20_2(X2,X1),esk20_2(X2,X1)))).
% 50.46/6.76 cnf(i_0_82, plain, (member(X1,unaryUnion(X2))|~member(X3,X2)|~member(X1,X3))).
% 50.46/6.76 cnf(i_0_84, plain, (member(X1,esk16_3(X2,unaryUnion(X2),X1))|~member(X1,unaryUnion(X2)))).
% 50.46/6.76 cnf(i_0_83, plain, (member(esk16_3(X1,unaryUnion(X1),X2),X1)|~member(X2,unaryUnion(X1)))).
% 50.46/6.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 50.46/6.76 # Begin printing tableau
% 50.46/6.76 # Found 5 steps
% 50.46/6.76 cnf(i_0_86, negated_conjecture, (esk19_0!=empty_set), inference(start_rule)).
% 50.46/6.76 cnf(i_0_145, plain, (esk19_0!=empty_set), inference(extension_rule, [i_0_20])).
% 50.46/6.76 cnf(i_0_604, plain, (~member(esk19_0,singleton(empty_set))), inference(extension_rule, [i_0_3])).
% 50.46/6.76 cnf(i_0_629, plain, (~member(esk19_0,singleton(esk19_0))), inference(closure_rule, [i_0_19])).
% 50.46/6.76 cnf(i_0_630, plain, (~subset(singleton(esk19_0),singleton(empty_set))), inference(etableau_closure_rule, [i_0_630, ...])).
% 50.46/6.76 # End printing tableau
% 50.46/6.76 # SZS output end
% 50.46/6.76 # Branches closed with saturation will be marked with an "s"
% 51.15/6.79 # Child (1065) has found a proof.
% 51.15/6.79
% 51.15/6.79 # Proof search is over...
% 51.15/6.79 # Freeing feature tree
%------------------------------------------------------------------------------