TSTP Solution File: SEU272+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n009.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 09:25:24 EDT 2022
% Result : Theorem 3.16s 0.76s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n009.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 05:40:52 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_C18C___F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.38 #
% 0.12/0.38 # Presaturation interreduction done
% 0.12/0.38 # Number of axioms: 82 Number of unprocessed: 81
% 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 # 81 beginning clauses after preprocessing and clausification
% 0.12/0.38 # Creating start rules for all 6 conjectures.
% 0.12/0.38 # There are 6 start rule candidates:
% 0.12/0.38 # Found 11 unit axioms.
% 0.12/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.38 # 6 start rule tableaux created.
% 0.12/0.38 # 70 extension rule candidate clauses
% 0.12/0.38 # 11 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 6
% 0.12/0.38 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.38 # We now have 14 tableaux to operate on
% 3.16/0.76 # There were 1 total branch saturation attempts.
% 3.16/0.76 # There were 0 of these attempts blocked.
% 3.16/0.76 # There were 0 deferred branch saturation attempts.
% 3.16/0.76 # There were 0 free duplicated saturations.
% 3.16/0.76 # There were 1 total successful branch saturations.
% 3.16/0.76 # There were 0 successful branch saturations in interreduction.
% 3.16/0.76 # There were 0 successful branch saturations on the branch.
% 3.16/0.76 # There were 1 successful branch saturations after the branch.
% 3.16/0.76 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/0.76 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/0.76 # Begin clausification derivation
% 3.16/0.76
% 3.16/0.76 # End clausification derivation
% 3.16/0.76 # Begin listing active clauses obtained from FOF to CNF conversion
% 3.16/0.76 cnf(i_0_6, negated_conjecture, (ordinal(esk2_0))).
% 3.16/0.76 cnf(i_0_9, plain, (ordinal(esk5_0))).
% 3.16/0.76 cnf(i_0_15, plain, (ordinal(esk6_0))).
% 3.16/0.76 cnf(i_0_19, plain, (empty(esk7_0))).
% 3.16/0.76 cnf(i_0_11, plain, (epsilon_transitive(esk5_0))).
% 3.16/0.76 cnf(i_0_17, plain, (epsilon_transitive(esk6_0))).
% 3.16/0.76 cnf(i_0_10, plain, (epsilon_connected(esk5_0))).
% 3.16/0.76 cnf(i_0_16, plain, (epsilon_connected(esk6_0))).
% 3.16/0.76 cnf(i_0_18, plain, (~empty(esk6_0))).
% 3.16/0.76 cnf(i_0_20, plain, (~empty(esk8_0))).
% 3.16/0.76 cnf(i_0_23, plain, (~empty(succ(X1)))).
% 3.16/0.76 cnf(i_0_12, plain, (ordinal(X1)|~empty(X1))).
% 3.16/0.76 cnf(i_0_26, plain, (ordinal(succ(X1))|~ordinal(X1))).
% 3.16/0.76 cnf(i_0_25, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 3.16/0.76 cnf(i_0_24, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 3.16/0.76 cnf(i_0_7, plain, (function(X1)|~empty(X1))).
% 3.16/0.76 cnf(i_0_14, plain, (epsilon_transitive(X1)|~empty(X1))).
% 3.16/0.76 cnf(i_0_13, plain, (epsilon_connected(X1)|~empty(X1))).
% 3.16/0.76 cnf(i_0_21, plain, (~in(X1,X2)|~in(X2,X1))).
% 3.16/0.76 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 3.16/0.76 cnf(i_0_28, plain, (epsilon_transitive(succ(X1))|~ordinal(X1))).
% 3.16/0.76 cnf(i_0_27, plain, (epsilon_connected(succ(X1))|~ordinal(X1))).
% 3.16/0.76 cnf(i_0_3, negated_conjecture, (in(esk3_1(X1),X1)|ordinal(esk4_1(X1)))).
% 3.16/0.76 cnf(i_0_1, negated_conjecture, (in(esk4_1(X1),esk1_0)|in(esk3_1(X1),X1))).
% 3.16/0.76 cnf(i_0_4, negated_conjecture, (in(esk3_1(X1),succ(esk2_0))|in(esk3_1(X1),X1))).
% 3.16/0.76 cnf(i_0_2, negated_conjecture, (esk4_1(X1)=esk3_1(X1)|in(esk3_1(X1),X1))).
% 3.16/0.76 cnf(i_0_70, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_5, negated_conjecture, (~in(esk3_1(X1),succ(esk2_0))|~in(esk3_1(X1),esk1_0)|~in(esk3_1(X1),X1)|~ordinal(esk3_1(X1)))).
% 3.16/0.76 cnf(i_0_34, plain, (esk15_3(X1,X2,X3)=X3|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_33, plain, (ordinal(esk16_3(X1,X2,X3))|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_32, plain, (esk16_3(X1,X2,X3)=X3|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_46, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_75, plain, (ordinal(esk16_3(X1,X2,X3))|ordinal(esk12_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_51, plain, (ordinal(esk16_3(X1,X2,X3))|ordinal(esk13_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_77, plain, (in(esk15_3(X1,X2,X3),succ(X2))|ordinal(esk12_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_53, plain, (in(esk15_3(X1,X2,X3),succ(X2))|ordinal(esk13_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_69, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|ordinal(esk16_3(X1,X2,X3))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_31, plain, (in(esk16_3(X1,X2,X3),X1)|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_45, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|ordinal(esk16_3(X1,X2,X3))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_35, plain, (in(esk15_3(X1,X2,X3),succ(X2))|esk11_2(X1,X2)!=esk10_2(X1,X2)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_74, plain, (esk16_3(X1,X2,X3)=X3|ordinal(esk12_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_50, plain, (esk16_3(X1,X2,X3)=X3|ordinal(esk13_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_76, plain, (esk15_3(X1,X2,X3)=X3|ordinal(esk12_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_52, plain, (esk15_3(X1,X2,X3)=X3|ordinal(esk13_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_73, plain, (in(esk16_3(X1,X2,X3),X1)|ordinal(esk12_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_49, plain, (in(esk16_3(X1,X2,X3),X1)|ordinal(esk13_2(X1,X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_78, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|in(X3,esk14_2(X1,X2))|~in(X3,succ(X2))|~in(X3,X1)|~ordinal(X3)|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_67, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|in(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_43, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|in(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_80, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_56, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_68, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_62, plain, (esk16_3(X1,X2,X3)=X3|in(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_63, plain, (in(esk12_2(X1,X2),X1)|ordinal(esk16_3(X1,X2,X3))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_39, plain, (in(esk13_2(X1,X2),X1)|ordinal(esk16_3(X1,X2,X3))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_83, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|in(esk15_3(X1,X2,X3),succ(X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_59, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|in(esk15_3(X1,X2,X3),succ(X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_38, plain, (esk16_3(X1,X2,X3)=X3|in(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_44, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|esk16_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_82, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_58, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|esk15_3(X1,X2,X3)=X3|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_64, plain, (esk15_3(X1,X2,X3)=X3|in(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_40, plain, (esk15_3(X1,X2,X3)=X3|in(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_71, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|in(esk15_3(X1,X2,X3),succ(X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_47, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|in(esk15_3(X1,X2,X3),succ(X2))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_81, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|ordinal(esk16_3(X1,X2,X3))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_57, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|ordinal(esk16_3(X1,X2,X3))|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_54, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|in(X3,esk14_2(X1,X2))|~in(X3,succ(X2))|~in(X3,X1)|~ordinal(X3)|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_61, plain, (in(esk16_3(X1,X2,X3),X1)|in(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_79, plain, (esk9_2(X1,X2)=esk10_2(X1,X2)|in(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_55, plain, (esk9_2(X1,X2)=esk11_2(X1,X2)|in(esk16_3(X1,X2,X3),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_37, plain, (in(esk16_3(X1,X2,X3),X1)|in(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_65, plain, (in(esk15_3(X1,X2,X3),succ(X2))|in(esk12_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_41, plain, (in(esk15_3(X1,X2,X3),succ(X2))|in(esk13_2(X1,X2),X1)|~in(X3,esk14_2(X1,X2))|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_72, plain, (in(X1,esk14_2(X2,X3))|ordinal(esk12_2(X2,X3))|~in(X1,succ(X3))|~in(X1,X2)|~ordinal(X1)|~ordinal(X3))).
% 3.16/0.76 cnf(i_0_48, plain, (in(X1,esk14_2(X2,X3))|ordinal(esk13_2(X2,X3))|~in(X1,succ(X3))|~in(X1,X2)|~ordinal(X1)|~ordinal(X3))).
% 3.16/0.76 cnf(i_0_66, plain, (esk12_2(X1,X2)=esk10_2(X1,X2)|in(X3,esk14_2(X1,X2))|~in(X3,succ(X2))|~in(X3,X1)|~ordinal(X3)|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_30, plain, (in(X1,esk14_2(X2,X3))|esk11_2(X2,X3)!=esk10_2(X2,X3)|~in(X1,succ(X3))|~in(X1,X2)|~ordinal(X1)|~ordinal(X3))).
% 3.16/0.76 cnf(i_0_42, plain, (esk13_2(X1,X2)=esk11_2(X1,X2)|in(X3,esk14_2(X1,X2))|~in(X3,succ(X2))|~in(X3,X1)|~ordinal(X3)|~ordinal(X2))).
% 3.16/0.76 cnf(i_0_60, plain, (in(X1,esk14_2(X2,X3))|in(esk12_2(X2,X3),X2)|~in(X1,succ(X3))|~in(X1,X2)|~ordinal(X1)|~ordinal(X3))).
% 3.16/0.76 cnf(i_0_36, plain, (in(X1,esk14_2(X2,X3))|in(esk13_2(X2,X3),X2)|~in(X1,succ(X3))|~in(X1,X2)|~ordinal(X1)|~ordinal(X3))).
% 3.16/0.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 3.16/0.76 # Begin printing tableau
% 3.16/0.76 # Found 4 steps
% 3.16/0.76 cnf(i_0_6, negated_conjecture, (ordinal(esk2_0)), inference(start_rule)).
% 3.16/0.76 cnf(i_0_115, plain, (ordinal(esk2_0)), inference(extension_rule, [i_0_26])).
% 3.16/0.76 cnf(i_0_925, plain, (ordinal(succ(esk2_0))), inference(extension_rule, [i_0_25])).
% 3.16/0.76 cnf(i_0_929, plain, (epsilon_transitive(succ(esk2_0))), inference(etableau_closure_rule, [i_0_929, ...])).
% 3.16/0.76 # End printing tableau
% 3.16/0.76 # SZS output end
% 3.16/0.76 # Branches closed with saturation will be marked with an "s"
% 3.16/0.76 # Creating equality axioms
% 3.16/0.76 # Ran out of tableaux, making start rules for all clauses
% 3.16/0.76 # Child (7187) has found a proof.
% 3.16/0.76
% 3.16/0.76 # Proof search is over...
% 3.16/0.76 # Freeing feature tree
%------------------------------------------------------------------------------