TSTP Solution File: SEU221+3 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU221+3 : 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 : n005.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 09:24:55 EDT 2022
% Result : Theorem 0.87s 0.55s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU221+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 11:35:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38 # No SInE strategy applied
% 0.12/0.38 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.12/0.38 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.38 #
% 0.12/0.38 # Presaturation interreduction done
% 0.12/0.38 # Number of axioms: 82 Number of unprocessed: 77
% 0.12/0.38 # Tableaux proof search.
% 0.12/0.38 # APR header successfully linked.
% 0.12/0.38 # 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 # 77 beginning clauses after preprocessing and clausification
% 0.12/0.38 # Creating start rules for all 4 conjectures.
% 0.12/0.38 # There are 4 start rule candidates:
% 0.12/0.38 # Found 28 unit axioms.
% 0.12/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.38 # 4 start rule tableaux created.
% 0.12/0.38 # 49 extension rule candidate clauses
% 0.12/0.38 # 28 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 4
% 0.12/0.38 # Returning from population with 23 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.38 # We now have 23 tableaux to operate on
% 0.87/0.55 # There were 2 total branch saturation attempts.
% 0.87/0.55 # There were 0 of these attempts blocked.
% 0.87/0.55 # There were 0 deferred branch saturation attempts.
% 0.87/0.55 # There were 0 free duplicated saturations.
% 0.87/0.55 # There were 2 total successful branch saturations.
% 0.87/0.55 # There were 0 successful branch saturations in interreduction.
% 0.87/0.55 # There were 0 successful branch saturations on the branch.
% 0.87/0.55 # There were 2 successful branch saturations after the branch.
% 0.87/0.55 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/0.55 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/0.55 # Begin clausification derivation
% 0.87/0.55
% 0.87/0.55 # End clausification derivation
% 0.87/0.55 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.87/0.55 cnf(i_0_80, negated_conjecture, (function(esk18_0))).
% 0.87/0.55 cnf(i_0_81, negated_conjecture, (relation(esk18_0))).
% 0.87/0.55 cnf(i_0_79, negated_conjecture, (one_to_one(esk18_0))).
% 0.87/0.55 cnf(i_0_35, plain, (function(esk4_0))).
% 0.87/0.55 cnf(i_0_20, plain, (empty(empty_set))).
% 0.87/0.55 cnf(i_0_42, plain, (function(esk8_0))).
% 0.87/0.55 cnf(i_0_51, plain, (function(esk12_0))).
% 0.87/0.55 cnf(i_0_19, plain, (relation(empty_set))).
% 0.87/0.55 cnf(i_0_36, plain, (relation(esk4_0))).
% 0.87/0.55 cnf(i_0_37, plain, (relation(esk5_0))).
% 0.87/0.55 cnf(i_0_44, plain, (relation(esk8_0))).
% 0.87/0.55 cnf(i_0_38, plain, (empty(esk5_0))).
% 0.87/0.55 cnf(i_0_41, plain, (empty(esk7_0))).
% 0.87/0.55 cnf(i_0_45, plain, (relation(esk9_0))).
% 0.87/0.55 cnf(i_0_52, plain, (relation(esk12_0))).
% 0.87/0.55 cnf(i_0_54, plain, (relation(esk13_0))).
% 0.87/0.55 cnf(i_0_50, plain, (one_to_one(esk12_0))).
% 0.87/0.55 cnf(i_0_43, plain, (empty(esk8_0))).
% 0.87/0.55 cnf(i_0_18, plain, (relation_empty_yielding(empty_set))).
% 0.87/0.55 cnf(i_0_53, plain, (relation_empty_yielding(esk13_0))).
% 0.87/0.55 cnf(i_0_55, plain, (subset(X1,X1))).
% 0.87/0.55 cnf(i_0_47, plain, (empty(esk10_1(X1)))).
% 0.87/0.55 cnf(i_0_15, plain, (element(esk3_1(X1),X1))).
% 0.87/0.55 cnf(i_0_48, plain, (element(esk10_1(X1),powerset(X1)))).
% 0.87/0.55 cnf(i_0_78, negated_conjecture, (~one_to_one(function_inverse(esk18_0)))).
% 0.87/0.55 cnf(i_0_46, plain, (~empty(esk9_0))).
% 0.87/0.55 cnf(i_0_49, plain, (~empty(esk11_0))).
% 0.87/0.55 cnf(i_0_23, plain, (~empty(powerset(X1)))).
% 0.87/0.55 cnf(i_0_83, plain, (~empty(X1)|~in(X2,X1))).
% 0.87/0.55 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.87/0.55 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 0.87/0.55 cnf(i_0_82, plain, (X1=empty_set|~empty(X1))).
% 0.87/0.55 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.87/0.55 cnf(i_0_12, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_13, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))).
% 0.87/0.55 cnf(i_0_29, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.87/0.55 cnf(i_0_84, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.87/0.55 cnf(i_0_39, plain, (empty(X1)|~empty(esk6_1(X1)))).
% 0.87/0.55 cnf(i_0_27, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.87/0.55 cnf(i_0_28, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.87/0.55 cnf(i_0_56, plain, (element(X1,X2)|~in(X1,X2))).
% 0.87/0.55 cnf(i_0_31, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.87/0.55 cnf(i_0_30, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.87/0.55 cnf(i_0_32, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.87/0.55 cnf(i_0_7, plain, (one_to_one(X1)|esk2_1(X1)!=esk1_1(X1)|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_14, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 0.87/0.55 cnf(i_0_58, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.87/0.55 cnf(i_0_59, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.87/0.55 cnf(i_0_77, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.87/0.55 cnf(i_0_57, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.87/0.55 cnf(i_0_16, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 0.87/0.55 cnf(i_0_33, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 0.87/0.55 cnf(i_0_21, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 0.87/0.55 cnf(i_0_17, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 0.87/0.55 cnf(i_0_34, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 0.87/0.55 cnf(i_0_40, plain, (element(esk6_1(X1),powerset(X1))|empty(X1))).
% 0.87/0.55 cnf(i_0_10, plain, (one_to_one(X1)|in(esk1_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_60, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.87/0.55 cnf(i_0_9, plain, (one_to_one(X1)|in(esk2_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_8, plain, (apply(X1,esk2_1(X1))=apply(X1,esk1_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_74, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 0.87/0.55 cnf(i_0_75, plain, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 0.87/0.55 cnf(i_0_76, plain, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 0.87/0.55 cnf(i_0_11, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))).
% 0.87/0.55 cnf(i_0_69, plain, (X1=function_inverse(X2)|in(esk17_2(X2,X1),relation_dom(X2))|in(esk14_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 0.87/0.55 cnf(i_0_73, plain, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 0.87/0.55 cnf(i_0_71, plain, (in(apply(X1,X2),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 0.87/0.55 cnf(i_0_68, plain, (apply(X1,esk17_2(X1,X2))=esk16_2(X1,X2)|X2=function_inverse(X1)|in(esk14_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 0.87/0.55 cnf(i_0_70, plain, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 0.87/0.55 cnf(i_0_63, plain, (X1=function_inverse(X2)|in(esk17_2(X2,X1),relation_dom(X2))|apply(X2,esk15_2(X2,X1))!=esk14_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk15_2(X2,X1),relation_dom(X2)))).
% 0.87/0.55 cnf(i_0_67, plain, (X1=function_inverse(X2)|in(esk14_2(X2,X1),relation_rng(X2))|apply(X1,esk16_2(X2,X1))!=esk17_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk16_2(X2,X1),relation_rng(X2)))).
% 0.87/0.55 cnf(i_0_66, plain, (apply(X1,esk14_2(X2,X1))=esk15_2(X2,X1)|X1=function_inverse(X2)|in(esk17_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 0.87/0.55 cnf(i_0_65, plain, (apply(X1,esk17_2(X1,X2))=esk16_2(X1,X2)|apply(X2,esk14_2(X1,X2))=esk15_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 0.87/0.55 cnf(i_0_61, plain, (X1=function_inverse(X2)|apply(X2,esk15_2(X2,X1))!=esk14_2(X2,X1)|apply(X1,esk16_2(X2,X1))!=esk17_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk15_2(X2,X1),relation_dom(X2))|~in(esk16_2(X2,X1),relation_rng(X2)))).
% 0.87/0.55 cnf(i_0_64, plain, (apply(X1,esk14_2(X2,X1))=esk15_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk16_2(X2,X1))!=esk17_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk16_2(X2,X1),relation_rng(X2)))).
% 0.87/0.55 cnf(i_0_62, plain, (apply(X1,esk17_2(X1,X2))=esk16_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk15_2(X1,X2))!=esk14_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk15_2(X1,X2),relation_dom(X1)))).
% 0.87/0.55 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.87/0.55 # Begin printing tableau
% 0.87/0.55 # Found 6 steps
% 0.87/0.55 cnf(i_0_80, negated_conjecture, (function(esk18_0)), inference(start_rule)).
% 0.87/0.55 cnf(i_0_97, plain, (function(esk18_0)), inference(extension_rule, [i_0_12])).
% 0.87/0.55 cnf(i_0_535, plain, (~relation(esk18_0)), inference(closure_rule, [i_0_81])).
% 0.87/0.55 cnf(i_0_534, plain, (function(function_inverse(esk18_0))), inference(extension_rule, [i_0_13])).
% 0.87/0.55 cnf(i_0_547, plain, (relation(function_inverse(function_inverse(esk18_0)))), inference(etableau_closure_rule, [i_0_547, ...])).
% 0.87/0.55 cnf(i_0_548, plain, (~relation(function_inverse(esk18_0))), inference(etableau_closure_rule, [i_0_548, ...])).
% 0.87/0.55 # End printing tableau
% 0.87/0.55 # SZS output end
% 0.87/0.55 # Branches closed with saturation will be marked with an "s"
% 0.87/0.55 # Child (27216) has found a proof.
% 0.87/0.55
% 0.87/0.55 # Proof search is over...
% 0.87/0.55 # Freeing feature tree
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