TSTP Solution File: SEU226+3 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU226+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 : n021.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 09:24:59 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU226+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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 : n021.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 09:27:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 # No SInE strategy applied
% 0.13/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.13/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.37 #
% 0.13/0.37 # Number of axioms: 65 Number of unprocessed: 65
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.37 # The folding up rule is enabled...
% 0.13/0.37 # Local unification is enabled...
% 0.13/0.37 # Any saturation attempts will use folding labels...
% 0.13/0.37 # 65 beginning clauses after preprocessing and clausification
% 0.13/0.37 # Creating start rules for all 3 conjectures.
% 0.13/0.37 # There are 3 start rule candidates:
% 0.13/0.37 # Found 30 unit axioms.
% 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37 # 3 start rule tableaux created.
% 0.13/0.37 # 35 extension rule candidate clauses
% 0.13/0.37 # 30 unit axiom clauses
% 0.13/0.37
% 0.13/0.37 # Requested 8, 32 cores available to the main process.
% 0.13/0.37 # There are not enough tableaux to fork, creating more from the initial 3
% 0.13/0.37 # Returning from population with 20 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37 # We now have 20 tableaux to operate on
% 0.19/0.49 # There were 2 total branch saturation attempts.
% 0.19/0.49 # There were 0 of these attempts blocked.
% 0.19/0.49 # There were 0 deferred branch saturation attempts.
% 0.19/0.49 # There were 0 free duplicated saturations.
% 0.19/0.49 # There were 2 total successful branch saturations.
% 0.19/0.49 # There were 0 successful branch saturations in interreduction.
% 0.19/0.49 # There were 0 successful branch saturations on the branch.
% 0.19/0.49 # There were 2 successful branch saturations after the branch.
% 0.19/0.49 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 # Begin clausification derivation
% 0.19/0.49
% 0.19/0.49 # End clausification derivation
% 0.19/0.49 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.49 cnf(i_0_27, plain, (empty(empty_set))).
% 0.19/0.49 cnf(i_0_29, plain, (empty(empty_set))).
% 0.19/0.49 cnf(i_0_31, plain, (empty(empty_set))).
% 0.19/0.49 cnf(i_0_38, plain, (empty(esk8_0))).
% 0.19/0.49 cnf(i_0_41, plain, (empty(esk10_0))).
% 0.19/0.49 cnf(i_0_43, plain, (empty(esk11_0))).
% 0.19/0.49 cnf(i_0_35, plain, (function(esk7_0))).
% 0.19/0.49 cnf(i_0_42, plain, (function(esk11_0))).
% 0.19/0.49 cnf(i_0_51, plain, (function(esk15_0))).
% 0.19/0.49 cnf(i_0_57, negated_conjecture, (function(esk18_0))).
% 0.19/0.49 cnf(i_0_26, plain, (relation(empty_set))).
% 0.19/0.49 cnf(i_0_30, plain, (relation(empty_set))).
% 0.19/0.49 cnf(i_0_36, plain, (relation(esk7_0))).
% 0.19/0.49 cnf(i_0_37, plain, (relation(esk8_0))).
% 0.19/0.49 cnf(i_0_44, plain, (relation(esk11_0))).
% 0.19/0.49 cnf(i_0_45, plain, (relation(esk12_0))).
% 0.19/0.49 cnf(i_0_52, plain, (relation(esk15_0))).
% 0.19/0.49 cnf(i_0_54, plain, (relation(esk16_0))).
% 0.19/0.49 cnf(i_0_58, negated_conjecture, (relation(esk18_0))).
% 0.19/0.49 cnf(i_0_50, plain, (one_to_one(esk15_0))).
% 0.19/0.49 cnf(i_0_25, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.49 cnf(i_0_53, plain, (relation_empty_yielding(esk16_0))).
% 0.19/0.49 cnf(i_0_46, plain, (~empty(esk12_0))).
% 0.19/0.49 cnf(i_0_49, plain, (~empty(esk14_0))).
% 0.19/0.49 cnf(i_0_65, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.49 cnf(i_0_47, plain, (empty(esk13_1(X1)))).
% 0.19/0.49 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.49 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 0.19/0.49 cnf(i_0_55, plain, (subset(X1,X1))).
% 0.19/0.49 cnf(i_0_67, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.49 cnf(i_0_28, plain, (~empty(powerset(X1)))).
% 0.19/0.49 cnf(i_0_34, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.19/0.49 cnf(i_0_33, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.19/0.49 cnf(i_0_24, plain, (element(esk6_1(X1),X1))).
% 0.19/0.49 cnf(i_0_39, plain, (empty(X1)|~empty(esk9_1(X1)))).
% 0.19/0.49 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 0.19/0.49 cnf(i_0_48, plain, (element(esk13_1(X1),powerset(X1)))).
% 0.19/0.49 cnf(i_0_32, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.19/0.49 cnf(i_0_66, plain, (~empty(X2)|~in(X1,X2))).
% 0.19/0.49 cnf(i_0_40, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))).
% 0.19/0.49 cnf(i_0_59, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.49 cnf(i_0_60, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.19/0.49 cnf(i_0_61, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.49 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.19/0.49 cnf(i_0_62, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.49 cnf(i_0_22, plain, (subset(X1,X2)|in(esk5_2(X1,X2),X1))).
% 0.19/0.49 cnf(i_0_23, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.19/0.49 cnf(i_0_64, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.49 cnf(i_0_63, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.49 cnf(i_0_21, plain, (subset(X1,X2)|~in(esk5_2(X1,X2),X2))).
% 0.19/0.49 cnf(i_0_20, plain, (in(X1,relation_dom(X2))|X3!=relation_inverse_image(X2,X4)|~function(X2)|~relation(X2)|~in(X1,X3))).
% 0.19/0.49 cnf(i_0_19, plain, (in(apply(X1,X2),X3)|X4!=relation_inverse_image(X1,X3)|~function(X1)|~relation(X1)|~in(X2,X4))).
% 0.19/0.49 cnf(i_0_56, negated_conjecture, (~subset(relation_image(esk18_0,relation_inverse_image(esk18_0,esk17_0)),esk17_0))).
% 0.19/0.49 cnf(i_0_11, plain, (in(X4,X5)|X5!=relation_image(X2,X3)|X4!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,X3)|~in(X1,relation_dom(X2)))).
% 0.19/0.49 cnf(i_0_18, plain, (in(X1,X4)|X4!=relation_inverse_image(X2,X3)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2))|~in(apply(X2,X1),X3))).
% 0.19/0.49 cnf(i_0_8, plain, (X3=relation_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|~function(X1)|~relation(X1))).
% 0.19/0.49 cnf(i_0_9, plain, (X3=relation_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1))).
% 0.19/0.49 cnf(i_0_16, plain, (X3=relation_inverse_image(X1,X2)|in(esk4_3(X1,X2,X3),X3)|in(esk4_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1))).
% 0.19/0.49 cnf(i_0_7, plain, (X3=relation_image(X1,X2)|apply(X1,esk3_3(X1,X2,X3))=esk2_3(X1,X2,X3)|in(esk2_3(X1,X2,X3),X3)|~function(X1)|~relation(X1))).
% 0.19/0.49 cnf(i_0_10, plain, (X3=relation_image(X1,X2)|esk2_3(X1,X2,X3)!=apply(X1,X4)|~function(X1)|~relation(X1)|~in(X4,X2)|~in(X4,relation_dom(X1))|~in(esk2_3(X1,X2,X3),X3))).
% 0.19/0.49 cnf(i_0_15, plain, (X3=relation_inverse_image(X1,X2)|in(esk4_3(X1,X2,X3),X3)|in(apply(X1,esk4_3(X1,X2,X3)),X2)|~function(X1)|~relation(X1))).
% 0.19/0.49 cnf(i_0_13, plain, (in(esk1_4(X1,X2,X3,X4),X2)|X3!=relation_image(X1,X2)|~function(X1)|~relation(X1)|~in(X4,X3))).
% 0.19/0.49 cnf(i_0_12, plain, (apply(X2,esk1_4(X2,X3,X4,X1))=X1|X4!=relation_image(X2,X3)|~function(X2)|~relation(X2)|~in(X1,X4))).
% 0.19/0.49 cnf(i_0_14, plain, (in(esk1_4(X1,X2,X3,X4),relation_dom(X1))|X3!=relation_image(X1,X2)|~function(X1)|~relation(X1)|~in(X4,X3))).
% 0.19/0.49 cnf(i_0_17, plain, (X3=relation_inverse_image(X1,X2)|~function(X1)|~relation(X1)|~in(esk4_3(X1,X2,X3),X3)|~in(esk4_3(X1,X2,X3),relation_dom(X1))|~in(apply(X1,esk4_3(X1,X2,X3)),X2))).
% 0.19/0.49 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.49 # Begin printing tableau
% 0.19/0.49 # Found 11 steps
% 0.19/0.49 cnf(i_0_58, negated_conjecture, (relation(esk18_0)), inference(start_rule)).
% 0.19/0.49 cnf(i_0_69, plain, (relation(esk18_0)), inference(extension_rule, [i_0_13])).
% 0.19/0.49 cnf(i_0_304, plain, (~function(esk18_0)), inference(closure_rule, [i_0_57])).
% 0.19/0.49 cnf(i_0_302, plain, (in(esk1_4(esk18_0,empty_set,empty_set,esk6_1(empty_set)),empty_set)), inference(extension_rule, [i_0_66])).
% 0.19/0.49 cnf(i_0_345, plain, (~empty(empty_set)), inference(closure_rule, [i_0_27])).
% 0.19/0.49 cnf(i_0_303, plain, (relation_image(esk18_0,empty_set)!=empty_set), inference(extension_rule, [i_0_65])).
% 0.19/0.49 cnf(i_0_348, plain, (~empty(relation_image(esk18_0,empty_set))), inference(extension_rule, [i_0_39])).
% 0.19/0.49 cnf(i_0_306, plain, (~in(esk6_1(empty_set),empty_set)), inference(extension_rule, [i_0_60])).
% 0.19/0.49 cnf(i_0_386, plain, (~element(esk6_1(empty_set),empty_set)), inference(closure_rule, [i_0_24])).
% 0.19/0.49 cnf(i_0_361, plain, (~empty(esk9_1(relation_image(esk18_0,empty_set)))), inference(etableau_closure_rule, [i_0_361, ...])).
% 0.19/0.49 cnf(i_0_384, plain, (empty(empty_set)), inference(etableau_closure_rule, [i_0_384, ...])).
% 0.19/0.49 # End printing tableau
% 0.19/0.49 # SZS output end
% 0.19/0.49 # Branches closed with saturation will be marked with an "s"
% 0.19/0.49 # Child (10708) has found a proof.
% 0.19/0.49
% 0.19/0.49 # Proof search is over...
% 0.19/0.49 # Freeing feature tree
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