TSTP Solution File: SEU292+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU292+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 : n024.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 09:25:34 EDT 2022

% Result   : Theorem 0.19s 0.39s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU292+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n024.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 01:42:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.13/0.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.38  #
% 0.13/0.38  # Number of axioms: 90 Number of unprocessed: 90
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.13/0.38  # The folding up rule is enabled...
% 0.13/0.38  # Local unification is enabled...
% 0.13/0.38  # Any saturation attempts will use folding labels...
% 0.13/0.38  # 90 beginning clauses after preprocessing and clausification
% 0.13/0.38  # Creating start rules for all 8 conjectures.
% 0.13/0.38  # There are 8 start rule candidates:
% 0.13/0.38  # Found 51 unit axioms.
% 0.13/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38  # 8 start rule tableaux created.
% 0.13/0.38  # 39 extension rule candidate clauses
% 0.13/0.38  # 51 unit axiom clauses
% 0.13/0.38  
% 0.13/0.38  # Requested 8, 32 cores available to the main process.
% 0.19/0.39  # There were 1 total branch saturation attempts.
% 0.19/0.39  # There were 0 of these attempts blocked.
% 0.19/0.39  # There were 0 deferred branch saturation attempts.
% 0.19/0.39  # There were 0 free duplicated saturations.
% 0.19/0.39  # There were 1 total successful branch saturations.
% 0.19/0.39  # There were 0 successful branch saturations in interreduction.
% 0.19/0.39  # There were 0 successful branch saturations on the branch.
% 0.19/0.39  # There were 1 successful branch saturations after the branch.
% 0.19/0.39  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  # Begin clausification derivation
% 0.19/0.39  
% 0.19/0.39  # End clausification derivation
% 0.19/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.39  cnf(i_0_84, negated_conjecture, (esk19_0!=empty_set)).
% 0.19/0.39  cnf(i_0_31, plain, (empty(empty_set))).
% 0.19/0.39  cnf(i_0_35, plain, (empty(empty_set))).
% 0.19/0.39  cnf(i_0_37, plain, (empty(empty_set))).
% 0.19/0.39  cnf(i_0_50, plain, (empty(esk6_0))).
% 0.19/0.39  cnf(i_0_55, plain, (empty(esk7_0))).
% 0.19/0.39  cnf(i_0_58, plain, (empty(esk9_0))).
% 0.19/0.39  cnf(i_0_60, plain, (empty(esk10_0))).
% 0.19/0.39  cnf(i_0_44, plain, (function(esk4_0))).
% 0.19/0.39  cnf(i_0_52, plain, (function(esk6_0))).
% 0.19/0.39  cnf(i_0_59, plain, (function(esk10_0))).
% 0.19/0.39  cnf(i_0_71, plain, (function(esk15_0))).
% 0.19/0.39  cnf(i_0_75, plain, (function(esk17_0))).
% 0.19/0.39  cnf(i_0_90, negated_conjecture, (function(esk21_0))).
% 0.19/0.39  cnf(i_0_86, negated_conjecture, (function(esk22_0))).
% 0.19/0.39  cnf(i_0_30, plain, (relation(empty_set))).
% 0.19/0.39  cnf(i_0_36, plain, (relation(empty_set))).
% 0.19/0.39  cnf(i_0_45, plain, (relation(esk4_0))).
% 0.19/0.39  cnf(i_0_53, plain, (relation(esk6_0))).
% 0.19/0.39  cnf(i_0_54, plain, (relation(esk7_0))).
% 0.19/0.39  cnf(i_0_61, plain, (relation(esk10_0))).
% 0.19/0.39  cnf(i_0_65, plain, (relation(esk12_0))).
% 0.19/0.39  cnf(i_0_72, plain, (relation(esk15_0))).
% 0.19/0.39  cnf(i_0_74, plain, (relation(esk16_0))).
% 0.19/0.39  cnf(i_0_77, plain, (relation(esk17_0))).
% 0.19/0.39  cnf(i_0_87, negated_conjecture, (relation(esk22_0))).
% 0.19/0.39  cnf(i_0_51, plain, (one_to_one(esk6_0))).
% 0.19/0.39  cnf(i_0_70, plain, (one_to_one(esk15_0))).
% 0.19/0.39  cnf(i_0_29, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.39  cnf(i_0_73, plain, (relation_empty_yielding(esk16_0))).
% 0.19/0.39  cnf(i_0_76, plain, (relation_empty_yielding(esk17_0))).
% 0.19/0.39  cnf(i_0_66, plain, (~empty(esk12_0))).
% 0.19/0.39  cnf(i_0_69, plain, (~empty(esk14_0))).
% 0.19/0.39  cnf(i_0_97, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.39  cnf(i_0_67, plain, (empty(esk13_1(X1)))).
% 0.19/0.39  cnf(i_0_85, negated_conjecture, (in(esk20_0,esk18_0))).
% 0.19/0.39  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.39  cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 0.19/0.39  cnf(i_0_81, plain, (subset(X1,X1))).
% 0.19/0.39  cnf(i_0_99, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.39  cnf(i_0_34, plain, (~empty(powerset(X1)))).
% 0.19/0.39  cnf(i_0_41, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.19/0.39  cnf(i_0_40, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.19/0.39  cnf(i_0_25, plain, (element(esk2_1(X1),X1))).
% 0.19/0.39  cnf(i_0_56, plain, (empty(X1)|~empty(esk8_1(X1)))).
% 0.19/0.39  cnf(i_0_5, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 0.19/0.39  cnf(i_0_68, plain, (element(esk13_1(X1),powerset(X1)))).
% 0.19/0.39  cnf(i_0_39, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.19/0.39  cnf(i_0_98, plain, (~empty(X2)|~in(X1,X2))).
% 0.19/0.39  cnf(i_0_47, plain, (function(esk5_2(X1,X2)))).
% 0.19/0.39  cnf(i_0_62, plain, (function(esk11_2(X1,X2)))).
% 0.19/0.39  cnf(i_0_48, plain, (relation(esk5_2(X1,X2)))).
% 0.19/0.39  cnf(i_0_63, plain, (relation(esk11_2(X1,X2)))).
% 0.19/0.39  cnf(i_0_57, plain, (empty(X1)|element(esk8_1(X1),powerset(X1)))).
% 0.19/0.39  cnf(i_0_82, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.39  cnf(i_0_92, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.19/0.39  cnf(i_0_93, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.39  cnf(i_0_28, plain, (empty(relation_composition(X1,X2))|~empty(X2)|~relation(X1))).
% 0.19/0.39  cnf(i_0_43, plain, (empty(relation_composition(X1,X2))|~empty(X1)|~relation(X2))).
% 0.19/0.39  cnf(i_0_27, plain, (relation(relation_composition(X1,X2))|~empty(X2)|~relation(X1))).
% 0.19/0.39  cnf(i_0_42, plain, (relation(relation_composition(X1,X2))|~empty(X1)|~relation(X2))).
% 0.19/0.39  cnf(i_0_20, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 0.19/0.39  cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.19/0.39  cnf(i_0_94, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.39  cnf(i_0_88, negated_conjecture, (relation_of2_as_subset(esk21_0,esk18_0,esk19_0))).
% 0.19/0.39  cnf(i_0_89, negated_conjecture, (quasi_total(esk21_0,esk18_0,esk19_0))).
% 0.19/0.39  cnf(i_0_38, plain, (empty(X2)|empty(X1)|~empty(cartesian_product2(X1,X2)))).
% 0.19/0.39  cnf(i_0_32, plain, (function(relation_composition(X1,X2))|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))).
% 0.19/0.39  cnf(i_0_33, plain, (relation(relation_composition(X1,X2))|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))).
% 0.19/0.39  cnf(i_0_96, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.39  cnf(i_0_95, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.19/0.39  cnf(i_0_26, plain, (relation_of2_as_subset(esk3_2(X1,X2),X1,X2))).
% 0.19/0.39  cnf(i_0_46, plain, (quasi_total(esk5_2(X1,X2),X1,X2))).
% 0.19/0.39  cnf(i_0_24, plain, (relation_of2(esk1_2(X1,X2),X1,X2))).
% 0.19/0.39  cnf(i_0_49, plain, (relation_of2(esk5_2(X1,X2),X1,X2))).
% 0.19/0.39  cnf(i_0_64, plain, (relation_of2(esk11_2(X1,X2),X1,X2))).
% 0.19/0.39  cnf(i_0_83, negated_conjecture, (apply(esk22_0,apply(esk21_0,esk20_0))!=apply(relation_composition(esk21_0,esk22_0),esk20_0))).
% 0.19/0.39  cnf(i_0_4, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 0.19/0.39  cnf(i_0_79, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_80, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_91, plain, (apply(X2,apply(X1,X3))=apply(relation_composition(X1,X2),X3)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~in(X3,relation_dom(X1)))).
% 0.19/0.39  cnf(i_0_78, plain, (relation_dom_as_subset(X2,X3,X1)=relation_dom(X1)|~relation_of2(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_8, plain, (X2=empty_set|quasi_total(X1,X2,X3)|X3!=empty_set|X1!=empty_set|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_23, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_9, plain, (X2=empty_set|X1=empty_set|X3!=empty_set|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_19, plain, (element(relation_dom_as_subset(X2,X3,X1),powerset(X2))|~relation_of2(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_13, plain, (X3=empty_set|relation_dom_as_subset(X2,X3,X1)=X2|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_12, plain, (X2=empty_set|quasi_total(X3,X1,X2)|relation_dom_as_subset(X1,X2,X3)!=X1|~relation_of2_as_subset(X3,X1,X2))).
% 0.19/0.39  cnf(i_0_11, plain, (relation_dom_as_subset(X2,X3,X1)=X2|X2!=empty_set|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3))).
% 0.19/0.39  cnf(i_0_10, plain, (quasi_total(X3,X1,X2)|X1!=empty_set|relation_dom_as_subset(X1,X2,X3)!=X1|~relation_of2_as_subset(X3,X1,X2))).
% 0.19/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.39  # Begin printing tableau
% 0.19/0.39  # Found 4 steps
% 0.19/0.39  cnf(i_0_88, negated_conjecture, (relation_of2_as_subset(esk21_0,esk18_0,esk19_0)), inference(start_rule)).
% 0.19/0.39  cnf(i_0_102, plain, (relation_of2_as_subset(esk21_0,esk18_0,esk19_0)), inference(extension_rule, [i_0_80])).
% 0.19/0.39  cnf(i_0_183, plain, (relation_of2(esk21_0,esk18_0,esk19_0)), inference(extension_rule, [i_0_78])).
% 0.19/0.39  cnf(i_0_266, plain, (relation_dom_as_subset(esk18_0,esk19_0,esk21_0)=relation_dom(esk21_0)), inference(etableau_closure_rule, [i_0_266, ...])).
% 0.19/0.39  # End printing tableau
% 0.19/0.39  # SZS output end
% 0.19/0.39  # Branches closed with saturation will be marked with an "s"
% 0.19/0.39  # Child (990) has found a proof.
% 0.19/0.39  
% 0.19/0.39  # Proof search is over...
% 0.19/0.39  # Freeing feature tree
%------------------------------------------------------------------------------