TSTP Solution File: SEU227+3 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU227+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 : n012.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 6.98s 1.29s
% Output : CNFRefutation 6.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 : n012.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 01:15:52 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: 71 Number of unprocessed: 71
% 0.20/0.37 # Tableaux proof search.
% 0.20/0.37 # APR header successfully linked.
% 0.20/0.37 # Hello from C++
% 0.20/0.38 # The folding up rule is enabled...
% 0.20/0.38 # Local unification is enabled...
% 0.20/0.38 # Any saturation attempts will use folding labels...
% 0.20/0.38 # 71 beginning clauses after preprocessing and clausification
% 0.20/0.38 # Creating start rules for all 3 conjectures.
% 0.20/0.38 # There are 3 start rule candidates:
% 0.20/0.38 # Found 34 unit axioms.
% 0.20/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.38 # 3 start rule tableaux created.
% 0.20/0.38 # 37 extension rule candidate clauses
% 0.20/0.38 # 34 unit axiom clauses
% 0.20/0.38
% 0.20/0.38 # Requested 8, 32 cores available to the main process.
% 0.20/0.38 # There are not enough tableaux to fork, creating more from the initial 3
% 0.20/0.38 # Returning from population with 23 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.38 # We now have 23 tableaux to operate on
% 6.98/1.29 # There were 8 total branch saturation attempts.
% 6.98/1.29 # There were 0 of these attempts blocked.
% 6.98/1.29 # There were 0 deferred branch saturation attempts.
% 6.98/1.29 # There were 0 free duplicated saturations.
% 6.98/1.29 # There were 8 total successful branch saturations.
% 6.98/1.29 # There were 1 successful branch saturations in interreduction.
% 6.98/1.29 # There were 0 successful branch saturations on the branch.
% 6.98/1.29 # There were 7 successful branch saturations after the branch.
% 6.98/1.29 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.98/1.29 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.98/1.29 # Begin clausification derivation
% 6.98/1.29
% 6.98/1.29 # End clausification derivation
% 6.98/1.29 # Begin listing active clauses obtained from FOF to CNF conversion
% 6.98/1.29 cnf(i_0_31, plain, (empty(empty_set))).
% 6.98/1.29 cnf(i_0_33, plain, (empty(empty_set))).
% 6.98/1.29 cnf(i_0_38, plain, (empty(empty_set))).
% 6.98/1.29 cnf(i_0_45, plain, (empty(esk13_0))).
% 6.98/1.29 cnf(i_0_48, plain, (empty(esk15_0))).
% 6.98/1.29 cnf(i_0_50, plain, (empty(esk16_0))).
% 6.98/1.29 cnf(i_0_42, plain, (function(esk12_0))).
% 6.98/1.29 cnf(i_0_49, plain, (function(esk16_0))).
% 6.98/1.29 cnf(i_0_58, plain, (function(esk20_0))).
% 6.98/1.29 cnf(i_0_30, plain, (relation(empty_set))).
% 6.98/1.29 cnf(i_0_37, plain, (relation(empty_set))).
% 6.98/1.29 cnf(i_0_43, plain, (relation(esk12_0))).
% 6.98/1.29 cnf(i_0_44, plain, (relation(esk13_0))).
% 6.98/1.29 cnf(i_0_51, plain, (relation(esk16_0))).
% 6.98/1.29 cnf(i_0_52, plain, (relation(esk17_0))).
% 6.98/1.29 cnf(i_0_59, plain, (relation(esk20_0))).
% 6.98/1.29 cnf(i_0_61, plain, (relation(esk21_0))).
% 6.98/1.29 cnf(i_0_65, negated_conjecture, (relation(esk23_0))).
% 6.98/1.29 cnf(i_0_57, plain, (one_to_one(esk20_0))).
% 6.98/1.29 cnf(i_0_29, plain, (relation_empty_yielding(empty_set))).
% 6.98/1.29 cnf(i_0_60, plain, (relation_empty_yielding(esk21_0))).
% 6.98/1.29 cnf(i_0_53, plain, (~empty(esk17_0))).
% 6.98/1.29 cnf(i_0_56, plain, (~empty(esk19_0))).
% 6.98/1.29 cnf(i_0_72, plain, (X1=empty_set|~empty(X1))).
% 6.98/1.29 cnf(i_0_54, plain, (empty(esk18_1(X1)))).
% 6.98/1.29 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 6.98/1.29 cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 6.98/1.29 cnf(i_0_62, plain, (subset(X1,X1))).
% 6.98/1.29 cnf(i_0_64, negated_conjecture, (subset(esk22_0,relation_dom(esk23_0)))).
% 6.98/1.29 cnf(i_0_74, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 6.98/1.29 cnf(i_0_35, plain, (~empty(singleton(X1)))).
% 6.98/1.29 cnf(i_0_32, plain, (~empty(powerset(X1)))).
% 6.98/1.29 cnf(i_0_41, plain, (empty(relation_dom(X1))|~empty(X1))).
% 6.98/1.29 cnf(i_0_40, plain, (relation(relation_dom(X1))|~empty(X1))).
% 6.98/1.29 cnf(i_0_28, plain, (element(esk11_1(X1),X1))).
% 6.98/1.29 cnf(i_0_46, plain, (empty(X1)|~empty(esk14_1(X1)))).
% 6.98/1.29 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 6.98/1.29 cnf(i_0_55, plain, (element(esk18_1(X1),powerset(X1)))).
% 6.98/1.29 cnf(i_0_7, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 6.98/1.29 cnf(i_0_39, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 6.98/1.29 cnf(i_0_73, plain, (~empty(X2)|~in(X1,X2))).
% 6.98/1.29 cnf(i_0_47, plain, (empty(X1)|element(esk14_1(X1),powerset(X1)))).
% 6.98/1.29 cnf(i_0_66, plain, (element(X1,X2)|~in(X1,X2))).
% 6.98/1.29 cnf(i_0_67, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 6.98/1.29 cnf(i_0_68, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 6.98/1.29 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 6.98/1.29 cnf(i_0_69, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 6.98/1.29 cnf(i_0_36, plain, (~empty(unordered_pair(X1,X2)))).
% 6.98/1.29 cnf(i_0_21, plain, (subset(X1,X2)|in(esk7_2(X1,X2),X1))).
% 6.98/1.29 cnf(i_0_22, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 6.98/1.29 cnf(i_0_71, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 6.98/1.29 cnf(i_0_70, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 6.98/1.29 cnf(i_0_20, plain, (subset(X1,X2)|~in(esk7_2(X1,X2),X2))).
% 6.98/1.29 cnf(i_0_63, negated_conjecture, (~subset(esk22_0,relation_inverse_image(esk23_0,relation_image(esk23_0,esk22_0))))).
% 6.98/1.29 cnf(i_0_34, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))).
% 6.98/1.29 cnf(i_0_25, plain, (in(X1,X4)|X4!=relation_dom(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))).
% 6.98/1.29 cnf(i_0_11, plain, (in(X2,X5)|X5!=relation_image(X3,X4)|~relation(X3)|~in(X1,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))).
% 6.98/1.29 cnf(i_0_17, plain, (in(X1,X5)|X5!=relation_inverse_image(X3,X4)|~relation(X3)|~in(X2,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))).
% 6.98/1.29 cnf(i_0_8, plain, (X3=relation_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|~relation(X1))).
% 6.98/1.29 cnf(i_0_14, plain, (X3=relation_inverse_image(X1,X2)|in(esk5_3(X1,X2,X3),X3)|in(esk6_3(X1,X2,X3),X2)|~relation(X1))).
% 6.98/1.29 cnf(i_0_23, plain, (X2=relation_dom(X1)|in(esk9_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)),singleton(esk9_2(X1,X2))),X1)|~relation(X1))).
% 6.98/1.29 cnf(i_0_12, plain, (in(esk1_4(X1,X2,X3,X4),X2)|X3!=relation_image(X1,X2)|~relation(X1)|~in(X4,X3))).
% 6.98/1.29 cnf(i_0_18, plain, (in(esk4_4(X1,X2,X3,X4),X2)|X3!=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X3))).
% 6.98/1.29 cnf(i_0_24, plain, (X2=relation_dom(X1)|~relation(X1)|~in(esk9_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(esk9_2(X1,X2),X3),singleton(esk9_2(X1,X2))),X1))).
% 6.98/1.29 cnf(i_0_26, plain, (in(unordered_pair(unordered_pair(X1,esk8_3(X3,X2,X1)),singleton(X1)),X3)|X2!=relation_dom(X3)|~relation(X3)|~in(X1,X2))).
% 6.98/1.29 cnf(i_0_10, plain, (X3=relation_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(X4,esk2_3(X1,X2,X3)),singleton(X4)),X1))).
% 6.98/1.29 cnf(i_0_9, plain, (X3=relation_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk3_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk3_3(X1,X2,X3))),X1)|~relation(X1))).
% 6.98/1.29 cnf(i_0_15, plain, (X3=relation_inverse_image(X1,X2)|in(esk5_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3)),singleton(esk5_3(X1,X2,X3))),X1)|~relation(X1))).
% 6.98/1.29 cnf(i_0_16, plain, (X3=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk5_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X4),singleton(esk5_3(X1,X2,X3))),X1))).
% 6.98/1.29 cnf(i_0_19, plain, (in(unordered_pair(unordered_pair(X1,esk4_4(X2,X3,X4,X1)),singleton(X1)),X2)|X4!=relation_inverse_image(X2,X3)|~relation(X2)|~in(X1,X4))).
% 6.98/1.29 cnf(i_0_13, plain, (in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)|X3!=relation_image(X1,X2)|~relation(X1)|~in(X4,X3))).
% 6.98/1.29 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 6.98/1.29 # Begin printing tableau
% 6.98/1.29 # Found 15 steps
% 6.98/1.29 cnf(i_0_65, negated_conjecture, (relation(esk23_0)), inference(start_rule)).
% 6.98/1.29 cnf(i_0_77, plain, (relation(esk23_0)), inference(extension_rule, [i_0_24])).
% 6.98/1.29 cnf(i_0_401, plain, (~in(unordered_pair(unordered_pair(esk9_2(esk23_0,empty_set),esk10_2(esk23_0,empty_set)),singleton(esk9_2(esk23_0,empty_set))),esk23_0)), inference(extension_rule, [i_0_22])).
% 6.98/1.29 cnf(i_0_21950, plain, (~in(unordered_pair(unordered_pair(esk9_2(esk23_0,empty_set),esk10_2(esk23_0,empty_set)),singleton(esk9_2(esk23_0,empty_set))),esk23_0)), inference(extension_rule, [i_0_23])).
% 6.98/1.29 cnf(i_0_22005, plain, (~relation(esk23_0)), inference(closure_rule, [i_0_65])).
% 6.98/1.29 cnf(i_0_21951, plain, (~subset(esk23_0,esk23_0)), inference(extension_rule, [i_0_69])).
% 6.98/1.29 cnf(i_0_400, plain, (~in(esk9_2(esk23_0,empty_set),empty_set)), inference(extension_rule, [i_0_25])).
% 6.98/1.29 cnf(i_0_22132, plain, (~relation(empty_set)), inference(closure_rule, [i_0_30])).
% 6.98/1.29 cnf(i_0_22131, plain, (empty_set!=relation_dom(empty_set)), inference(extension_rule, [i_0_72])).
% 6.98/1.29 cnf(i_0_398, plain, (empty_set=relation_dom(esk23_0)), inference(etableau_closure_rule, [i_0_398, ...])).
% 6.98/1.29 cnf(i_0_22002, plain, (empty_set=relation_dom(esk23_0)), inference(etableau_closure_rule, [i_0_22002, ...])).
% 6.98/1.29 cnf(i_0_22003, plain, (in(esk9_2(esk23_0,empty_set),empty_set)), inference(etableau_closure_rule, [i_0_22003, ...])).
% 6.98/1.29 cnf(i_0_22037, plain, (~element(esk23_0,powerset(esk23_0))), inference(etableau_closure_rule, [i_0_22037, ...])).
% 6.98/1.29 cnf(i_0_22133, plain, (~in(unordered_pair(unordered_pair(esk9_2(esk23_0,empty_set),X7),singleton(esk9_2(esk23_0,empty_set))),empty_set)), inference(etableau_closure_rule, [i_0_22133, ...])).
% 6.98/1.29 cnf(i_0_22135, plain, (~empty(relation_dom(empty_set))), inference(etableau_closure_rule, [i_0_22135, ...])).
% 6.98/1.29 # End printing tableau
% 6.98/1.29 # SZS output end
% 6.98/1.29 # Branches closed with saturation will be marked with an "s"
% 6.98/1.29 # Child (10719) has found a proof.
% 6.98/1.29
% 6.98/1.29 # Proof search is over...
% 6.98/1.29 # Freeing feature tree
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