TSTP Solution File: SEU027+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU027+1 : 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 : n022.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 09:23:31 EDT 2022
% Result : Theorem 7.53s 1.34s
% Output : CNFRefutation 7.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 13:23:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.37 # No SInE strategy applied
% 0.20/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.20/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.37 #
% 0.20/0.37 # Number of axioms: 82 Number of unprocessed: 82
% 0.20/0.37 # Tableaux proof search.
% 0.20/0.37 # APR header successfully linked.
% 0.20/0.37 # Hello from C++
% 0.20/0.37 # The folding up rule is enabled...
% 0.20/0.37 # Local unification is enabled...
% 0.20/0.37 # Any saturation attempts will use folding labels...
% 0.20/0.37 # 82 beginning clauses after preprocessing and clausification
% 0.20/0.37 # Creating start rules for all 10 conjectures.
% 0.20/0.37 # There are 10 start rule candidates:
% 0.20/0.37 # Found 35 unit axioms.
% 0.20/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.37 # 10 start rule tableaux created.
% 0.20/0.37 # 47 extension rule candidate clauses
% 0.20/0.37 # 35 unit axiom clauses
% 0.20/0.37
% 0.20/0.37 # Requested 8, 32 cores available to the main process.
% 7.53/1.34 # There were 2 total branch saturation attempts.
% 7.53/1.34 # There were 0 of these attempts blocked.
% 7.53/1.34 # There were 0 deferred branch saturation attempts.
% 7.53/1.34 # There were 0 free duplicated saturations.
% 7.53/1.34 # There were 2 total successful branch saturations.
% 7.53/1.34 # There were 0 successful branch saturations in interreduction.
% 7.53/1.34 # There were 0 successful branch saturations on the branch.
% 7.53/1.34 # There were 2 successful branch saturations after the branch.
% 7.53/1.34 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.53/1.34 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.53/1.34 # Begin clausification derivation
% 7.53/1.34
% 7.53/1.34 # End clausification derivation
% 7.53/1.34 # Begin listing active clauses obtained from FOF to CNF conversion
% 7.53/1.34 cnf(i_0_18, plain, (empty(empty_set))).
% 7.53/1.34 cnf(i_0_20, plain, (empty(empty_set))).
% 7.53/1.34 cnf(i_0_22, plain, (empty(empty_set))).
% 7.53/1.34 cnf(i_0_32, plain, (empty(esk6_0))).
% 7.53/1.34 cnf(i_0_35, plain, (empty(esk8_0))).
% 7.53/1.34 cnf(i_0_37, plain, (empty(esk9_0))).
% 7.53/1.34 cnf(i_0_29, plain, (function(esk5_0))).
% 7.53/1.34 cnf(i_0_36, plain, (function(esk9_0))).
% 7.53/1.34 cnf(i_0_45, plain, (function(esk13_0))).
% 7.53/1.34 cnf(i_0_78, negated_conjecture, (function(esk19_0))).
% 7.53/1.34 cnf(i_0_76, negated_conjecture, (function(esk20_0))).
% 7.53/1.34 cnf(i_0_17, plain, (relation(empty_set))).
% 7.53/1.34 cnf(i_0_21, plain, (relation(empty_set))).
% 7.53/1.34 cnf(i_0_30, plain, (relation(esk5_0))).
% 7.53/1.34 cnf(i_0_31, plain, (relation(esk6_0))).
% 7.53/1.34 cnf(i_0_38, plain, (relation(esk9_0))).
% 7.53/1.34 cnf(i_0_39, plain, (relation(esk10_0))).
% 7.53/1.34 cnf(i_0_46, plain, (relation(esk13_0))).
% 7.53/1.34 cnf(i_0_48, plain, (relation(esk14_0))).
% 7.53/1.34 cnf(i_0_79, negated_conjecture, (relation(esk19_0))).
% 7.53/1.34 cnf(i_0_77, negated_conjecture, (relation(esk20_0))).
% 7.53/1.34 cnf(i_0_44, plain, (one_to_one(esk13_0))).
% 7.53/1.34 cnf(i_0_75, negated_conjecture, (one_to_one(esk19_0))).
% 7.53/1.34 cnf(i_0_16, plain, (relation_empty_yielding(empty_set))).
% 7.53/1.34 cnf(i_0_47, plain, (relation_empty_yielding(esk14_0))).
% 7.53/1.34 cnf(i_0_70, negated_conjecture, (function_inverse(esk19_0)!=esk20_0)).
% 7.53/1.34 cnf(i_0_40, plain, (~empty(esk10_0))).
% 7.53/1.34 cnf(i_0_43, plain, (~empty(esk12_0))).
% 7.53/1.34 cnf(i_0_74, negated_conjecture, (relation_rng(esk20_0)=relation_dom(esk19_0))).
% 7.53/1.34 cnf(i_0_73, negated_conjecture, (relation_rng(esk19_0)=relation_dom(esk20_0))).
% 7.53/1.34 cnf(i_0_80, plain, (X1=empty_set|~empty(X1))).
% 7.53/1.34 cnf(i_0_41, plain, (empty(esk11_1(X1)))).
% 7.53/1.34 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 7.53/1.34 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 7.53/1.34 cnf(i_0_49, plain, (subset(X1,X1))).
% 7.53/1.34 cnf(i_0_82, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 7.53/1.34 cnf(i_0_19, plain, (~empty(powerset(X1)))).
% 7.53/1.34 cnf(i_0_28, plain, (empty(relation_rng(X1))|~empty(X1))).
% 7.53/1.34 cnf(i_0_26, plain, (empty(relation_dom(X1))|~empty(X1))).
% 7.53/1.34 cnf(i_0_27, plain, (relation(relation_rng(X1))|~empty(X1))).
% 7.53/1.34 cnf(i_0_25, plain, (relation(relation_dom(X1))|~empty(X1))).
% 7.53/1.34 cnf(i_0_15, plain, (element(esk4_1(X1),X1))).
% 7.53/1.34 cnf(i_0_33, plain, (empty(X1)|~empty(esk7_1(X1)))).
% 7.53/1.34 cnf(i_0_13, plain, (function(function_inverse(X1))|~function(X1)|~relation(X1))).
% 7.53/1.34 cnf(i_0_14, plain, (relation(function_inverse(X1))|~function(X1)|~relation(X1))).
% 7.53/1.34 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 7.53/1.34 cnf(i_0_42, plain, (element(esk11_1(X1),powerset(X1)))).
% 7.53/1.34 cnf(i_0_24, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 7.53/1.34 cnf(i_0_23, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 7.53/1.34 cnf(i_0_81, plain, (~empty(X2)|~in(X1,X2))).
% 7.53/1.34 cnf(i_0_34, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))).
% 7.53/1.34 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))).
% 7.53/1.34 cnf(i_0_51, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 7.53/1.34 cnf(i_0_52, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 7.53/1.34 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 7.53/1.34 cnf(i_0_53, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 7.53/1.34 cnf(i_0_68, plain, (relation_dom(X1)=relation_rng(X2)|X1!=function_inverse(X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X2))).
% 7.53/1.34 cnf(i_0_69, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 7.53/1.34 cnf(i_0_54, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 7.53/1.34 cnf(i_0_71, negated_conjecture, (apply(esk19_0,X2)=X1|apply(esk20_0,X1)!=X2|~in(X2,relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
% 7.53/1.34 cnf(i_0_72, negated_conjecture, (apply(esk20_0,X2)=X1|apply(esk19_0,X1)!=X2|~in(X2,relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
% 7.53/1.34 cnf(i_0_84, plain, (X1=X2|in(esk21_2(X1,X2),relation_dom(X1))|relation_dom(X1)!=relation_dom(X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))).
% 7.53/1.34 cnf(i_0_10, plain, (in(X3,X4)|X4!=relation_rng(X2)|X3!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 7.53/1.34 cnf(i_0_8, plain, (X2=relation_rng(X1)|in(esk2_2(X1,X2),X2)|in(esk3_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1))).
% 7.53/1.34 cnf(i_0_7, plain, (X2=relation_rng(X1)|apply(X1,esk3_2(X1,X2))=esk2_2(X1,X2)|in(esk2_2(X1,X2),X2)|~function(X1)|~relation(X1))).
% 7.53/1.34 cnf(i_0_66, plain, (X1=apply(X2,X3)|X4!=function_inverse(X2)|X3!=apply(X4,X1)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X2)|~in(X1,relation_rng(X2)))).
% 7.53/1.34 cnf(i_0_64, plain, (X1=apply(X2,X3)|X2!=function_inverse(X4)|X3!=apply(X4,X1)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X4)|~in(X1,relation_dom(X4)))).
% 7.53/1.34 cnf(i_0_65, plain, (in(X1,relation_rng(X2))|X4!=function_inverse(X2)|X1!=apply(X2,X3)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X2)|~in(X3,relation_dom(X2)))).
% 7.53/1.34 cnf(i_0_67, plain, (in(X1,relation_dom(X2))|X4!=function_inverse(X2)|X1!=apply(X4,X3)|~function(X4)|~function(X2)|~relation(X4)|~relation(X2)|~one_to_one(X2)|~in(X3,relation_rng(X2)))).
% 7.53/1.34 cnf(i_0_63, plain, (X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))).
% 7.53/1.34 cnf(i_0_60, plain, (X2=function_inverse(X1)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))).
% 7.53/1.34 cnf(i_0_62, plain, (X2=function_inverse(X1)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))).
% 7.53/1.34 cnf(i_0_9, plain, (X2=relation_rng(X1)|esk2_2(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~in(esk2_2(X1,X2),X2))).
% 7.53/1.34 cnf(i_0_59, plain, (X2=function_inverse(X1)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1))).
% 7.53/1.34 cnf(i_0_11, plain, (apply(X2,esk1_3(X2,X3,X1))=X1|X3!=relation_rng(X2)|~function(X2)|~relation(X2)|~in(X1,X3))).
% 7.53/1.34 cnf(i_0_83, plain, (X1=X2|relation_dom(X1)!=relation_dom(X2)|apply(X1,esk21_2(X1,X2))!=apply(X2,esk21_2(X1,X2))|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))).
% 7.53/1.34 cnf(i_0_12, plain, (in(esk1_3(X1,X2,X3),relation_dom(X1))|X2!=relation_rng(X1)|~function(X1)|~relation(X1)|~in(X3,X2))).
% 7.53/1.34 cnf(i_0_61, plain, (X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk17_2(X1,X2),relation_rng(X1)))).
% 7.53/1.34 cnf(i_0_57, plain, (X2=function_inverse(X1)|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))).
% 7.53/1.34 cnf(i_0_58, plain, (X2=function_inverse(X1)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk17_2(X1,X2),relation_rng(X1)))).
% 7.53/1.34 cnf(i_0_56, plain, (X2=function_inverse(X1)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))).
% 7.53/1.34 cnf(i_0_55, plain, (X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~one_to_one(X1)|~in(esk16_2(X1,X2),relation_dom(X1))|~in(esk17_2(X1,X2),relation_rng(X1)))).
% 7.53/1.34 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 7.53/1.34 # Begin printing tableau
% 7.53/1.34 # Found 6 steps
% 7.53/1.34 cnf(i_0_79, negated_conjecture, (relation(esk19_0)), inference(start_rule)).
% 7.53/1.34 cnf(i_0_98, plain, (relation(esk19_0)), inference(extension_rule, [i_0_13])).
% 7.53/1.34 cnf(i_0_121, plain, (~function(esk19_0)), inference(closure_rule, [i_0_78])).
% 7.53/1.34 cnf(i_0_120, plain, (function(function_inverse(esk19_0))), inference(extension_rule, [i_0_14])).
% 7.53/1.34 cnf(i_0_142, plain, (relation(function_inverse(function_inverse(esk19_0)))), inference(etableau_closure_rule, [i_0_142, ...])).
% 7.53/1.34 cnf(i_0_144, plain, (~relation(function_inverse(esk19_0))), inference(etableau_closure_rule, [i_0_144, ...])).
% 7.53/1.34 # End printing tableau
% 7.53/1.34 # SZS output end
% 7.53/1.34 # Branches closed with saturation will be marked with an "s"
% 7.53/1.35 # Child (22374) has found a proof.
% 7.53/1.35
% 7.53/1.35 # Proof search is over...
% 7.53/1.35 # Freeing feature tree
%------------------------------------------------------------------------------