TSTP Solution File: SEU147+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU147+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 : n004.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 09:24:10 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU147+2 : 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 : n004.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 04:57:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 # No SInE strategy applied
% 0.13/0.38 # Auto-Mode selected heuristic G_E___300_C01_F1_SE_CS_SP_S0Y
% 0.13/0.38 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.38 #
% 0.13/0.38 # Number of axioms: 105 Number of unprocessed: 105
% 0.13/0.38 # Tableaux proof search.
% 0.13/0.38 # APR header successfully linked.
% 0.13/0.38 # 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 # 105 beginning clauses after preprocessing and clausification
% 0.13/0.38 # Creating start rules for all 1 conjectures.
% 0.13/0.38 # There are 1 start rule candidates:
% 0.13/0.38 # Found 22 unit axioms.
% 0.13/0.38 # 1 start rule tableaux created.
% 0.13/0.38 # 83 extension rule candidate clauses
% 0.13/0.38 # 22 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 1
% 0.13/0.38 # Returning from population with 16 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.38 # We now have 16 tableaux to operate on
% 0.19/0.45 # There were 2 total branch saturation attempts.
% 0.19/0.45 # There were 0 of these attempts blocked.
% 0.19/0.45 # There were 0 deferred branch saturation attempts.
% 0.19/0.45 # There were 0 free duplicated saturations.
% 0.19/0.45 # There were 2 total successful branch saturations.
% 0.19/0.45 # There were 0 successful branch saturations in interreduction.
% 0.19/0.45 # There were 0 successful branch saturations on the branch.
% 0.19/0.45 # There were 2 successful branch saturations after the branch.
% 0.19/0.45 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Begin clausification derivation
% 0.19/0.45
% 0.19/0.45 # End clausification derivation
% 0.19/0.45 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.45 cnf(i_0_58, plain, (empty(empty_set))).
% 0.19/0.45 cnf(i_0_73, plain, (empty(esk9_0))).
% 0.19/0.45 cnf(i_0_74, plain, (~empty(esk10_0))).
% 0.19/0.45 cnf(i_0_108, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.45 cnf(i_0_102, plain, (set_difference(empty_set,X1)=empty_set)).
% 0.19/0.45 cnf(i_0_88, lemma, (subset(empty_set,X1))).
% 0.19/0.45 cnf(i_0_80, plain, (set_union2(X1,empty_set)=X1)).
% 0.19/0.45 cnf(i_0_94, plain, (set_difference(X1,empty_set)=X1)).
% 0.19/0.45 cnf(i_0_75, plain, (subset(X1,X1))).
% 0.19/0.45 cnf(i_0_61, plain, (set_union2(X1,X1)=X1)).
% 0.19/0.45 cnf(i_0_113, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.45 cnf(i_0_7, plain, (subset(X1,X2)|X1!=X2)).
% 0.19/0.45 cnf(i_0_8, plain, (subset(X1,X2)|X1!=X2)).
% 0.19/0.45 cnf(i_0_82, negated_conjecture, (unordered_pair(empty_set,empty_set)!=powerset(empty_set))).
% 0.19/0.45 cnf(i_0_98, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 0.19/0.45 cnf(i_0_13, plain, (X1=empty_set|in(esk2_1(X1),X1))).
% 0.19/0.45 cnf(i_0_64, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 0.19/0.45 cnf(i_0_63, plain, (~proper_subset(X1,X1))).
% 0.19/0.45 cnf(i_0_14, plain, (X1!=empty_set|~in(X2,X1))).
% 0.19/0.45 cnf(i_0_49, plain, (X1!=X2|~proper_subset(X1,X2))).
% 0.19/0.45 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.19/0.45 cnf(i_0_4, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.19/0.45 cnf(i_0_109, plain, (~empty(X2)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_67, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_91, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_68, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 0.19/0.45 cnf(i_0_92, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 0.19/0.45 cnf(i_0_50, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 0.19/0.45 cnf(i_0_76, plain, (disjoint(X2,X1)|~disjoint(X1,X2))).
% 0.19/0.45 cnf(i_0_85, plain, (set_difference(X1,set_difference(X1,empty_set))=empty_set)).
% 0.19/0.45 cnf(i_0_77, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_112, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 0.19/0.45 cnf(i_0_111, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 0.19/0.45 cnf(i_0_48, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_110, lemma, (subset(X1,set_union2(X1,X2)))).
% 0.19/0.45 cnf(i_0_90, lemma, (subset(set_difference(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_62, plain, (set_difference(X1,set_difference(X1,X1))=X1)).
% 0.19/0.45 cnf(i_0_22, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2))).
% 0.19/0.45 cnf(i_0_23, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4))).
% 0.19/0.45 cnf(i_0_11, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X2))).
% 0.19/0.45 cnf(i_0_71, lemma, (subset(X1,unordered_pair(X2,X2))|X1!=empty_set)).
% 0.19/0.45 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_2, plain, (~proper_subset(X2,X1)|~proper_subset(X1,X2))).
% 0.19/0.45 cnf(i_0_105, lemma, (~proper_subset(X2,X1)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_17, plain, (in(X1,X3)|X3!=powerset(X2)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_18, plain, (subset(X1,X3)|X2!=powerset(X3)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_6, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_12, plain, (X1=X3|X2!=unordered_pair(X3,X3)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_24, plain, (X1=X4|X1=X3|X2!=unordered_pair(X3,X4)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_60, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.19/0.45 cnf(i_0_59, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.19/0.45 cnf(i_0_93, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 0.19/0.45 cnf(i_0_99, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 0.19/0.45 cnf(i_0_32, plain, (subset(X1,X2)|in(esk6_2(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_96, lemma, (disjoint(X1,X2)|in(esk12_2(X1,X2),X2))).
% 0.19/0.45 cnf(i_0_97, lemma, (disjoint(X1,X2)|in(esk12_2(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_33, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_81, lemma, (subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_106, lemma, (disjoint(X1,X3)|~subset(X1,X2)|~disjoint(X2,X3))).
% 0.19/0.45 cnf(i_0_28, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_29, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_45, plain, (in(X1,X2)|X3!=set_difference(X2,X4)|~in(X1,X3))).
% 0.19/0.45 cnf(i_0_47, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 0.19/0.45 cnf(i_0_65, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_100, lemma, (set_union2(X1,set_difference(X2,X1))=X2|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_84, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_70, lemma, (subset(X1,unordered_pair(X2,X2))|X1!=unordered_pair(X2,X2))).
% 0.19/0.45 cnf(i_0_95, lemma, (~in(X1,X3)|~in(X1,X2)|~disjoint(X2,X3))).
% 0.19/0.45 cnf(i_0_44, plain, (X3!=set_difference(X4,X2)|~in(X1,X3)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_9, plain, (X2=unordered_pair(X1,X1)|esk1_2(X1,X2)=X1|in(esk1_2(X1,X2),X2))).
% 0.19/0.45 cnf(i_0_43, plain, (in(X1,X4)|in(X1,X3)|X4!=set_difference(X2,X3)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_30, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_46, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 0.19/0.45 cnf(i_0_66, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X1),X2))).
% 0.19/0.45 cnf(i_0_31, plain, (subset(X1,X2)|~in(esk6_2(X1,X2),X2))).
% 0.19/0.45 cnf(i_0_5, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 0.19/0.45 cnf(i_0_72, lemma, (X1=empty_set|X1=unordered_pair(X2,X2)|~subset(X1,unordered_pair(X2,X2)))).
% 0.19/0.45 cnf(i_0_86, plain, (X1=X2|in(esk11_2(X1,X2),X2)|in(esk11_2(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_114, lemma, (subset(set_union2(X1,X3),X2)|~subset(X3,X2)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_15, plain, (X2=powerset(X1)|in(esk3_2(X1,X2),X2)|subset(esk3_2(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_89, lemma, (subset(set_difference(X1,X3),set_difference(X2,X3))|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_78, lemma, (subset(set_difference(X1,set_difference(X1,X2)),X1))).
% 0.19/0.45 cnf(i_0_38, plain, (in(X1,X2)|X3!=set_difference(X4,set_difference(X4,X2))|~in(X1,X3))).
% 0.19/0.45 cnf(i_0_39, plain, (in(X1,X2)|X3!=set_difference(X2,set_difference(X2,X4))|~in(X1,X3))).
% 0.19/0.45 cnf(i_0_10, plain, (X2=unordered_pair(X1,X1)|esk1_2(X1,X2)!=X1|~in(esk1_2(X1,X2),X2))).
% 0.19/0.45 cnf(i_0_37, plain, (in(X1,X4)|X4!=set_difference(X2,set_difference(X2,X3))|~in(X1,X3)|~in(X1,X2))).
% 0.19/0.45 cnf(i_0_87, plain, (X1=X2|~in(esk11_2(X1,X2),X2)|~in(esk11_2(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_69, lemma, (in(X3,X1)|subset(X1,set_difference(X2,unordered_pair(X3,X3)))|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_16, plain, (X2=powerset(X1)|~in(esk3_2(X1,X2),X2)|~subset(esk3_2(X1,X2),X1))).
% 0.19/0.45 cnf(i_0_104, lemma, (disjoint(X1,X2)|in(esk13_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 0.19/0.45 cnf(i_0_79, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_103, lemma, (~disjoint(X2,X3)|~in(X1,set_difference(X2,set_difference(X2,X3))))).
% 0.19/0.45 cnf(i_0_83, lemma, (subset(set_difference(X1,set_difference(X1,X3)),set_difference(X2,set_difference(X2,X3)))|~subset(X1,X2))).
% 0.19/0.45 cnf(i_0_19, plain, (X3=unordered_pair(X1,X2)|esk4_3(X1,X2,X3)=X2|esk4_3(X1,X2,X3)=X1|in(esk4_3(X1,X2,X3),X3))).
% 0.19/0.45 cnf(i_0_41, plain, (X3=set_difference(X1,X2)|in(esk8_3(X1,X2,X3),X3)|in(esk8_3(X1,X2,X3),X1))).
% 0.19/0.45 cnf(i_0_34, plain, (X3=set_difference(X1,set_difference(X1,X2))|in(esk7_3(X1,X2,X3),X3)|in(esk7_3(X1,X2,X3),X2))).
% 0.19/0.45 cnf(i_0_35, plain, (X3=set_difference(X1,set_difference(X1,X2))|in(esk7_3(X1,X2,X3),X3)|in(esk7_3(X1,X2,X3),X1))).
% 0.19/0.45 cnf(i_0_20, plain, (X3=unordered_pair(X1,X2)|esk4_3(X1,X2,X3)!=X2|~in(esk4_3(X1,X2,X3),X3))).
% 0.19/0.45 cnf(i_0_21, plain, (X3=unordered_pair(X1,X2)|esk4_3(X1,X2,X3)!=X1|~in(esk4_3(X1,X2,X3),X3))).
% 0.19/0.45 cnf(i_0_40, plain, (X3=set_difference(X1,X2)|in(esk8_3(X1,X2,X3),X3)|~in(esk8_3(X1,X2,X3),X2))).
% 0.19/0.45 cnf(i_0_25, plain, (X3=set_union2(X1,X2)|in(esk5_3(X1,X2,X3),X3)|in(esk5_3(X1,X2,X3),X2)|in(esk5_3(X1,X2,X3),X1))).
% 0.19/0.45 cnf(i_0_26, plain, (X3=set_union2(X1,X2)|~in(esk5_3(X1,X2,X3),X3)|~in(esk5_3(X1,X2,X3),X2))).
% 0.19/0.45 cnf(i_0_27, plain, (X3=set_union2(X1,X2)|~in(esk5_3(X1,X2,X3),X3)|~in(esk5_3(X1,X2,X3),X1))).
% 0.19/0.45 cnf(i_0_42, plain, (X3=set_difference(X1,X2)|in(esk8_3(X1,X2,X3),X2)|~in(esk8_3(X1,X2,X3),X3)|~in(esk8_3(X1,X2,X3),X1))).
% 0.19/0.45 cnf(i_0_36, plain, (X3=set_difference(X1,set_difference(X1,X2))|~in(esk7_3(X1,X2,X3),X3)|~in(esk7_3(X1,X2,X3),X2)|~in(esk7_3(X1,X2,X3),X1))).
% 0.19/0.45 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.45 # Begin printing tableau
% 0.19/0.45 # Found 5 steps
% 0.19/0.45 cnf(i_0_82, negated_conjecture, (unordered_pair(empty_set,empty_set)!=powerset(empty_set)), inference(start_rule)).
% 0.19/0.45 cnf(i_0_115, plain, (unordered_pair(empty_set,empty_set)!=powerset(empty_set)), inference(extension_rule, [i_0_86])).
% 0.19/0.45 cnf(i_0_254, plain, (in(esk11_2(unordered_pair(empty_set,empty_set),powerset(empty_set)),powerset(empty_set))), inference(extension_rule, [i_0_14])).
% 0.19/0.45 cnf(i_0_255, plain, (in(esk11_2(unordered_pair(empty_set,empty_set),powerset(empty_set)),unordered_pair(empty_set,empty_set))), inference(etableau_closure_rule, [i_0_255, ...])).
% 0.19/0.45 cnf(i_0_348, plain, (powerset(empty_set)!=empty_set), inference(etableau_closure_rule, [i_0_348, ...])).
% 0.19/0.45 # End printing tableau
% 0.19/0.45 # SZS output end
% 0.19/0.45 # Branches closed with saturation will be marked with an "s"
% 0.19/0.45 # Child (30220) has found a proof.
% 0.19/0.45
% 0.19/0.45 # Proof search is over...
% 0.19/0.45 # Freeing feature tree
%------------------------------------------------------------------------------