TSTP Solution File: SEU156+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU156+2 : 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 : n025.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 09:24:16 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
% 0.11/0.12 % Problem : SEU156+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n025.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 10:38:43 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___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.12/0.37 # and selection function SelectCQArNTNpEqFirst.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37 # Number of axioms: 122 Number of unprocessed: 110
% 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 # 110 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 2 conjectures.
% 0.12/0.37 # There are 2 start rule candidates:
% 0.12/0.37 # Found 25 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 2 start rule tableaux created.
% 0.12/0.37 # 85 extension rule candidate clauses
% 0.12/0.37 # 25 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 2
% 0.12/0.37 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 14 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox/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_67, plain, (empty(empty_set))).
% 0.19/0.41 cnf(i_0_87, plain, (empty(esk12_0))).
% 0.19/0.41 cnf(i_0_119, plain, (set_difference(empty_set,X1)=empty_set)).
% 0.19/0.41 cnf(i_0_97, lemma, (powerset(empty_set)=unordered_pair(empty_set,empty_set))).
% 0.19/0.41 cnf(i_0_103, lemma, (subset(empty_set,X1))).
% 0.19/0.41 cnf(i_0_95, plain, (set_union2(X1,empty_set)=X1)).
% 0.19/0.41 cnf(i_0_111, plain, (set_difference(X1,empty_set)=X1)).
% 0.19/0.41 cnf(i_0_89, plain, (subset(X1,X1))).
% 0.19/0.41 cnf(i_0_71, plain, (set_union2(X1,X1)=X1)).
% 0.19/0.41 cnf(i_0_106, negated_conjecture, (unordered_pair(unordered_pair(esk15_0,esk15_0),unordered_pair(esk15_0,esk16_0))=unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)))).
% 0.19/0.41 cnf(i_0_100, plain, (set_difference(X1,X1)=empty_set)).
% 0.19/0.41 cnf(i_0_128, lemma, (subset(X1,set_union2(X1,X2)))).
% 0.19/0.41 cnf(i_0_107, lemma, (subset(set_difference(X1,X2),X1))).
% 0.19/0.41 cnf(i_0_110, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 0.19/0.41 cnf(i_0_22, plain, (in(X1,unordered_pair(X2,X1)))).
% 0.19/0.41 cnf(i_0_23, plain, (in(X1,unordered_pair(X1,X2)))).
% 0.19/0.41 cnf(i_0_116, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 0.19/0.41 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.19/0.41 cnf(i_0_4, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.19/0.41 cnf(i_0_5, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 0.19/0.41 cnf(i_0_88, plain, (~empty(esk13_0))).
% 0.19/0.41 cnf(i_0_74, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 0.19/0.41 cnf(i_0_73, plain, (~proper_subset(X1,X1))).
% 0.19/0.41 cnf(i_0_14, plain, (~in(X1,empty_set))).
% 0.19/0.41 cnf(i_0_68, plain, (~empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))))).
% 0.19/0.41 cnf(i_0_105, negated_conjecture, (esk15_0!=esk17_0|esk16_0!=esk18_0)).
% 0.19/0.41 cnf(i_0_127, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.41 cnf(i_0_125, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.41 cnf(i_0_122, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 0.19/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.41 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 0.19/0.41 cnf(i_0_115, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 0.19/0.41 cnf(i_0_134, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 0.19/0.41 cnf(i_0_133, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 0.19/0.41 cnf(i_0_131, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.41 cnf(i_0_57, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 0.19/0.41 cnf(i_0_112, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 0.19/0.41 cnf(i_0_70, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.19/0.41 cnf(i_0_69, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.19/0.41 cnf(i_0_76, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_80, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_13, plain, (X1=empty_set|in(esk2_1(X1),X1))).
% 0.19/0.41 cnf(i_0_120, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 0.19/0.41 cnf(i_0_92, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_130, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 0.19/0.41 cnf(i_0_12, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 0.19/0.41 cnf(i_0_126, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 0.19/0.41 cnf(i_0_81, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 0.19/0.41 cnf(i_0_129, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 0.19/0.41 cnf(i_0_90, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 0.19/0.41 cnf(i_0_33, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.19/0.41 cnf(i_0_91, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 0.19/0.41 cnf(i_0_75, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_79, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X1),X2))).
% 0.19/0.41 cnf(i_0_55, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_50, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 0.19/0.41 cnf(i_0_6, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_17, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_31, plain, (subset(X1,X2)|~in(esk6_2(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_53, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 0.19/0.41 cnf(i_0_18, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 0.19/0.41 cnf(i_0_86, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_54, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 0.19/0.41 cnf(i_0_99, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_32, plain, (subset(X1,X2)|in(esk6_2(X1,X2),X1))).
% 0.19/0.41 cnf(i_0_123, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 0.19/0.41 cnf(i_0_24, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 0.19/0.41 cnf(i_0_96, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 0.19/0.41 cnf(i_0_113, lemma, (disjoint(X1,X2)|in(esk19_2(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_78, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_85, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 0.19/0.41 cnf(i_0_77, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 0.19/0.41 cnf(i_0_28, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 0.19/0.41 cnf(i_0_114, lemma, (disjoint(X1,X2)|in(esk19_2(X1,X2),X1))).
% 0.19/0.41 cnf(i_0_51, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 0.19/0.41 cnf(i_0_29, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_10, plain, (X1=unordered_pair(X2,X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_16, plain, (X1=powerset(X2)|~subset(esk3_2(X2,X1),X2)|~in(esk3_2(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_20, plain, (X1=unordered_pair(X2,X3)|esk4_3(X2,X3,X1)!=X3|~in(esk4_3(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_21, plain, (X1=unordered_pair(X2,X3)|esk4_3(X2,X3,X1)!=X2|~in(esk4_3(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_104, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 0.19/0.41 cnf(i_0_38, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 0.19/0.41 cnf(i_0_121, lemma, (disjoint(X1,X2)|in(esk20_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 0.19/0.41 cnf(i_0_102, plain, (X1=X2|~in(esk14_2(X1,X2),X2)|~in(esk14_2(X1,X2),X1))).
% 0.19/0.41 cnf(i_0_132, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 0.19/0.41 cnf(i_0_43, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 0.19/0.41 cnf(i_0_45, plain, (in(X1,esk8_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 0.19/0.41 cnf(i_0_9, plain, (esk1_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk1_2(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_42, plain, (X1=union(X2)|~in(esk9_2(X2,X1),X3)|~in(esk9_2(X2,X1),X1)|~in(X3,X2))).
% 0.19/0.41 cnf(i_0_44, plain, (in(esk8_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 0.19/0.41 cnf(i_0_15, plain, (X1=powerset(X2)|subset(esk3_2(X2,X1),X2)|in(esk3_2(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_82, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_94, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 0.19/0.41 cnf(i_0_37, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_49, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 0.19/0.41 cnf(i_0_101, plain, (X1=X2|in(esk14_2(X1,X2),X1)|in(esk14_2(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_30, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 0.19/0.41 cnf(i_0_26, plain, (X1=set_union2(X2,X3)|~in(esk5_3(X2,X3,X1),X1)|~in(esk5_3(X2,X3,X1),X3))).
% 0.19/0.41 cnf(i_0_27, plain, (X1=set_union2(X2,X3)|~in(esk5_3(X2,X3,X1),X1)|~in(esk5_3(X2,X3,X1),X2))).
% 0.19/0.41 cnf(i_0_40, plain, (X1=union(X2)|in(esk10_2(X2,X1),X2)|in(esk9_2(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_98, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 0.19/0.41 cnf(i_0_41, plain, (X1=union(X2)|in(esk9_2(X2,X1),esk10_2(X2,X1))|in(esk9_2(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_46, plain, (X1=set_difference(X2,X3)|in(esk11_3(X2,X3,X1),X1)|~in(esk11_3(X2,X3,X1),X3))).
% 0.19/0.41 cnf(i_0_19, plain, (esk4_3(X1,X2,X3)=X1|esk4_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk4_3(X1,X2,X3),X3))).
% 0.19/0.41 cnf(i_0_47, plain, (X1=set_difference(X2,X3)|in(esk11_3(X2,X3,X1),X2)|in(esk11_3(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_34, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk7_3(X2,X3,X1),X3)|in(esk7_3(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_36, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk7_3(X2,X3,X1),X1)|~in(esk7_3(X2,X3,X1),X3)|~in(esk7_3(X2,X3,X1),X2))).
% 0.19/0.41 cnf(i_0_48, plain, (X1=set_difference(X2,X3)|in(esk11_3(X2,X3,X1),X3)|~in(esk11_3(X2,X3,X1),X1)|~in(esk11_3(X2,X3,X1),X2))).
% 0.19/0.41 cnf(i_0_35, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk7_3(X2,X3,X1),X2)|in(esk7_3(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_25, plain, (X1=set_union2(X2,X3)|in(esk5_3(X2,X3,X1),X2)|in(esk5_3(X2,X3,X1),X3)|in(esk5_3(X2,X3,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, (unordered_pair(unordered_pair(esk15_0,esk15_0),unordered_pair(esk15_0,esk16_0))=unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))), inference(start_rule)).
% 0.19/0.41 cnf(i_0_165, plain, (unordered_pair(unordered_pair(esk15_0,esk15_0),unordered_pair(esk15_0,esk16_0))=unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))), inference(extension_rule, [i_0_91])).
% 0.19/0.41 cnf(i_0_432, plain, (unordered_pair(esk15_0,esk15_0)=unordered_pair(esk17_0,esk17_0)), inference(extension_rule, [i_0_134])).
% 0.19/0.41 cnf(i_0_433, plain, (unordered_pair(esk15_0,esk15_0)=unordered_pair(esk17_0,esk18_0)), inference(etableau_closure_rule, [i_0_433, ...])).
% 0.19/0.41 cnf(i_0_447, plain, (esk17_0=esk17_0), inference(etableau_closure_rule, [i_0_447, ...])).
% 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 (27945) has found a proof.
% 0.19/0.41
% 0.19/0.41 # Proof search is over...
% 0.19/0.41 # Freeing feature tree
%------------------------------------------------------------------------------