TSTP Solution File: SEU076+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU076+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 : n029.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 09:23:43 EDT 2022
% Result : Theorem 4.52s 1.00s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU076+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n029.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 07:33:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.12/0.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.37 #
% 0.12/0.37 # Number of axioms: 67 Number of unprocessed: 67
% 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 # 67 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 6 conjectures.
% 0.12/0.37 # There are 6 start rule candidates:
% 0.12/0.37 # Found 33 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 6 start rule tableaux created.
% 0.12/0.37 # 34 extension rule candidate clauses
% 0.12/0.37 # 33 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 6
% 0.12/0.37 # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 10 tableaux to operate on
% 4.52/1.00 # There were 2 total branch saturation attempts.
% 4.52/1.00 # There were 0 of these attempts blocked.
% 4.52/1.00 # There were 0 deferred branch saturation attempts.
% 4.52/1.00 # There were 0 free duplicated saturations.
% 4.52/1.00 # There were 2 total successful branch saturations.
% 4.52/1.00 # There were 0 successful branch saturations in interreduction.
% 4.52/1.00 # There were 0 successful branch saturations on the branch.
% 4.52/1.00 # There were 2 successful branch saturations after the branch.
% 4.52/1.00 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/1.00 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/1.00 # Begin clausification derivation
% 4.52/1.00
% 4.52/1.00 # End clausification derivation
% 4.52/1.00 # Begin listing active clauses obtained from FOF to CNF conversion
% 4.52/1.00 cnf(i_0_26, plain, (empty(empty_set))).
% 4.52/1.00 cnf(i_0_28, plain, (empty(empty_set))).
% 4.52/1.00 cnf(i_0_30, plain, (empty(empty_set))).
% 4.52/1.00 cnf(i_0_37, plain, (empty(esk9_0))).
% 4.52/1.00 cnf(i_0_40, plain, (empty(esk11_0))).
% 4.52/1.00 cnf(i_0_42, plain, (empty(esk12_0))).
% 4.52/1.00 cnf(i_0_34, plain, (function(esk8_0))).
% 4.52/1.00 cnf(i_0_41, plain, (function(esk12_0))).
% 4.52/1.00 cnf(i_0_50, plain, (function(esk16_0))).
% 4.52/1.00 cnf(i_0_59, negated_conjecture, (function(esk20_0))).
% 4.52/1.00 cnf(i_0_25, plain, (relation(empty_set))).
% 4.52/1.00 cnf(i_0_29, plain, (relation(empty_set))).
% 4.52/1.00 cnf(i_0_35, plain, (relation(esk8_0))).
% 4.52/1.00 cnf(i_0_36, plain, (relation(esk9_0))).
% 4.52/1.00 cnf(i_0_43, plain, (relation(esk12_0))).
% 4.52/1.00 cnf(i_0_44, plain, (relation(esk13_0))).
% 4.52/1.00 cnf(i_0_51, plain, (relation(esk16_0))).
% 4.52/1.00 cnf(i_0_53, plain, (relation(esk17_0))).
% 4.52/1.00 cnf(i_0_60, negated_conjecture, (relation(esk20_0))).
% 4.52/1.00 cnf(i_0_49, plain, (one_to_one(esk16_0))).
% 4.52/1.00 cnf(i_0_56, negated_conjecture, (one_to_one(esk20_0))).
% 4.52/1.00 cnf(i_0_24, plain, (relation_empty_yielding(empty_set))).
% 4.52/1.00 cnf(i_0_52, plain, (relation_empty_yielding(esk17_0))).
% 4.52/1.00 cnf(i_0_45, plain, (~empty(esk13_0))).
% 4.52/1.00 cnf(i_0_48, plain, (~empty(esk15_0))).
% 4.52/1.00 cnf(i_0_67, plain, (X1=empty_set|~empty(X1))).
% 4.52/1.00 cnf(i_0_46, plain, (empty(esk14_1(X1)))).
% 4.52/1.00 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 4.52/1.00 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 4.52/1.00 cnf(i_0_54, plain, (subset(X1,X1))).
% 4.52/1.00 cnf(i_0_57, negated_conjecture, (subset(esk18_0,relation_dom(esk20_0)))).
% 4.52/1.00 cnf(i_0_69, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 4.52/1.00 cnf(i_0_27, plain, (~empty(powerset(X1)))).
% 4.52/1.00 cnf(i_0_33, plain, (empty(relation_dom(X1))|~empty(X1))).
% 4.52/1.00 cnf(i_0_32, plain, (relation(relation_dom(X1))|~empty(X1))).
% 4.52/1.00 cnf(i_0_55, negated_conjecture, (~subset(esk18_0,esk19_0))).
% 4.52/1.00 cnf(i_0_23, plain, (element(esk7_1(X1),X1))).
% 4.52/1.00 cnf(i_0_38, plain, (empty(X1)|~empty(esk10_1(X1)))).
% 4.52/1.00 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 4.52/1.00 cnf(i_0_47, plain, (element(esk14_1(X1),powerset(X1)))).
% 4.52/1.00 cnf(i_0_31, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 4.52/1.00 cnf(i_0_68, plain, (~empty(X2)|~in(X1,X2))).
% 4.52/1.00 cnf(i_0_39, plain, (empty(X1)|element(esk10_1(X1),powerset(X1)))).
% 4.52/1.00 cnf(i_0_18, plain, (one_to_one(X1)|esk6_1(X1)!=esk5_1(X1)|~function(X1)|~relation(X1))).
% 4.52/1.00 cnf(i_0_61, plain, (element(X1,X2)|~in(X1,X2))).
% 4.52/1.00 cnf(i_0_62, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 4.52/1.00 cnf(i_0_63, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 4.52/1.00 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 4.52/1.00 cnf(i_0_21, plain, (one_to_one(X1)|in(esk5_1(X1),relation_dom(X1))|~function(X1)|~relation(X1))).
% 4.52/1.00 cnf(i_0_20, plain, (one_to_one(X1)|in(esk6_1(X1),relation_dom(X1))|~function(X1)|~relation(X1))).
% 4.52/1.00 cnf(i_0_64, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 4.52/1.00 cnf(i_0_58, negated_conjecture, (subset(relation_image(esk20_0,esk18_0),relation_image(esk20_0,esk19_0)))).
% 4.52/1.00 cnf(i_0_16, plain, (subset(X1,X2)|in(esk4_2(X1,X2),X1))).
% 4.52/1.00 cnf(i_0_19, plain, (apply(X1,esk6_1(X1))=apply(X1,esk5_1(X1))|one_to_one(X1)|~function(X1)|~relation(X1))).
% 4.52/1.00 cnf(i_0_17, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 4.52/1.00 cnf(i_0_66, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 4.52/1.00 cnf(i_0_65, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 4.52/1.00 cnf(i_0_15, plain, (subset(X1,X2)|~in(esk4_2(X1,X2),X2))).
% 4.52/1.00 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)))).
% 4.52/1.00 cnf(i_0_22, plain, (X2=X3|apply(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~one_to_one(X1)|~in(X3,relation_dom(X1))|~in(X2,relation_dom(X1)))).
% 4.52/1.00 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))).
% 4.52/1.00 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))).
% 4.52/1.00 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))).
% 4.52/1.00 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))).
% 4.52/1.00 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))).
% 4.52/1.00 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))).
% 4.52/1.00 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))).
% 4.52/1.00 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 4.52/1.00 # Begin printing tableau
% 4.52/1.00 # Found 5 steps
% 4.52/1.00 cnf(i_0_60, negated_conjecture, (relation(esk20_0)), inference(start_rule)).
% 4.52/1.00 cnf(i_0_74, plain, (relation(esk20_0)), inference(extension_rule, [i_0_31])).
% 4.52/1.00 cnf(i_0_812, plain, (empty(esk20_0)), inference(extension_rule, [i_0_67])).
% 4.52/1.00 cnf(i_0_814, plain, (~empty(relation_dom(esk20_0))), inference(etableau_closure_rule, [i_0_814, ...])).
% 4.52/1.00 cnf(i_0_815, plain, (esk20_0=empty_set), inference(etableau_closure_rule, [i_0_815, ...])).
% 4.52/1.00 # End printing tableau
% 4.52/1.00 # SZS output end
% 4.52/1.00 # Branches closed with saturation will be marked with an "s"
% 5.12/1.00 # Child (18203) has found a proof.
% 5.12/1.00
% 5.12/1.00 # Proof search is over...
% 5.12/1.00 # Freeing feature tree
%------------------------------------------------------------------------------