TSTP Solution File: SEU025+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU025+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 : n019.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 09:23:31 EDT 2022

% Result   : Theorem 5.33s 1.14s
% Output   : CNFRefutation 5.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU025+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % 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 : n019.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 16:08:09 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___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.12/0.37  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  # Number of axioms: 65 Number of unprocessed: 61
% 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  # 61 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 4 conjectures.
% 0.12/0.37  # There are 4 start rule candidates:
% 0.12/0.37  # Found 27 unit axioms.
% 0.12/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37  # 4 start rule tableaux created.
% 0.12/0.37  # 34 extension rule candidate clauses
% 0.12/0.37  # 27 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 4
% 0.12/0.37  # Returning from population with 24 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37  # We now have 24 tableaux to operate on
% 5.33/1.14  # There were 3 total branch saturation attempts.
% 5.33/1.14  # There were 0 of these attempts blocked.
% 5.33/1.14  # There were 0 deferred branch saturation attempts.
% 5.33/1.14  # There were 0 free duplicated saturations.
% 5.33/1.14  # There were 3 total successful branch saturations.
% 5.33/1.14  # There were 0 successful branch saturations in interreduction.
% 5.33/1.14  # There were 0 successful branch saturations on the branch.
% 5.33/1.14  # There were 3 successful branch saturations after the branch.
% 5.33/1.14  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.33/1.14  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.33/1.14  # Begin clausification derivation
% 5.33/1.14  
% 5.33/1.14  # End clausification derivation
% 5.33/1.14  # Begin listing active clauses obtained from FOF to CNF conversion
% 5.33/1.14  cnf(i_0_62, negated_conjecture, (function(esk12_0))).
% 5.33/1.14  cnf(i_0_63, negated_conjecture, (relation(esk12_0))).
% 5.33/1.14  cnf(i_0_61, negated_conjecture, (one_to_one(esk12_0))).
% 5.33/1.14  cnf(i_0_30, plain, (function(esk2_0))).
% 5.33/1.14  cnf(i_0_15, plain, (empty(empty_set))).
% 5.33/1.14  cnf(i_0_37, plain, (function(esk6_0))).
% 5.33/1.14  cnf(i_0_46, plain, (function(esk10_0))).
% 5.33/1.14  cnf(i_0_14, plain, (relation(empty_set))).
% 5.33/1.14  cnf(i_0_31, plain, (relation(esk2_0))).
% 5.33/1.14  cnf(i_0_32, plain, (relation(esk3_0))).
% 5.33/1.14  cnf(i_0_39, plain, (relation(esk6_0))).
% 5.33/1.14  cnf(i_0_33, plain, (empty(esk3_0))).
% 5.33/1.14  cnf(i_0_36, plain, (empty(esk5_0))).
% 5.33/1.14  cnf(i_0_38, plain, (empty(esk6_0))).
% 5.33/1.14  cnf(i_0_40, plain, (relation(esk7_0))).
% 5.33/1.14  cnf(i_0_47, plain, (relation(esk10_0))).
% 5.33/1.14  cnf(i_0_49, plain, (relation(esk11_0))).
% 5.33/1.14  cnf(i_0_45, plain, (one_to_one(esk10_0))).
% 5.33/1.14  cnf(i_0_13, plain, (relation_empty_yielding(empty_set))).
% 5.33/1.14  cnf(i_0_48, plain, (relation_empty_yielding(esk11_0))).
% 5.33/1.14  cnf(i_0_42, plain, (empty(esk8_1(X1)))).
% 5.33/1.14  cnf(i_0_50, plain, (subset(X1,X1))).
% 5.33/1.14  cnf(i_0_10, plain, (element(esk1_1(X1),X1))).
% 5.33/1.14  cnf(i_0_43, plain, (element(esk8_1(X1),powerset(X1)))).
% 5.33/1.14  cnf(i_0_41, plain, (~empty(esk7_0))).
% 5.33/1.14  cnf(i_0_44, plain, (~empty(esk9_0))).
% 5.33/1.14  cnf(i_0_18, plain, (~empty(powerset(X1)))).
% 5.33/1.14  cnf(i_0_60, negated_conjecture, (relation_dom(relation_composition(esk12_0,function_inverse(esk12_0)))!=relation_dom(esk12_0)|relation_rng(relation_composition(esk12_0,function_inverse(esk12_0)))!=relation_dom(esk12_0))).
% 5.33/1.14  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 5.33/1.14  cnf(i_0_66, plain, (~empty(X1)|~in(X2,X1))).
% 5.33/1.14  cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
% 5.33/1.14  cnf(i_0_65, plain, (X1=empty_set|~empty(X1))).
% 5.33/1.14  cnf(i_0_24, plain, (relation(relation_dom(X1))|~empty(X1))).
% 5.33/1.14  cnf(i_0_7, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 5.33/1.14  cnf(i_0_26, plain, (relation(relation_rng(X1))|~empty(X1))).
% 5.33/1.14  cnf(i_0_8, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 5.33/1.14  cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))).
% 5.33/1.14  cnf(i_0_67, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 5.33/1.14  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 5.33/1.14  cnf(i_0_34, plain, (empty(X1)|~empty(esk4_1(X1)))).
% 5.33/1.14  cnf(i_0_51, plain, (element(X1,X2)|~in(X1,X2))).
% 5.33/1.14  cnf(i_0_22, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 5.33/1.14  cnf(i_0_25, plain, (empty(relation_dom(X1))|~empty(X1))).
% 5.33/1.14  cnf(i_0_27, plain, (empty(relation_rng(X1))|~empty(X1))).
% 5.33/1.14  cnf(i_0_58, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 5.33/1.14  cnf(i_0_59, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 5.33/1.14  cnf(i_0_9, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 5.33/1.14  cnf(i_0_23, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 5.33/1.14  cnf(i_0_54, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 5.33/1.14  cnf(i_0_64, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 5.33/1.14  cnf(i_0_53, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 5.33/1.14  cnf(i_0_12, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 5.33/1.14  cnf(i_0_11, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 5.33/1.14  cnf(i_0_28, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 5.33/1.14  cnf(i_0_29, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 5.33/1.14  cnf(i_0_16, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 5.33/1.14  cnf(i_0_35, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))).
% 5.33/1.14  cnf(i_0_52, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 5.33/1.14  cnf(i_0_57, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 5.33/1.14  cnf(i_0_55, plain, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 5.33/1.14  cnf(i_0_56, plain, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 5.33/1.14  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 5.33/1.14  # Begin printing tableau
% 5.33/1.14  # Found 8 steps
% 5.33/1.14  cnf(i_0_63, negated_conjecture, (relation(esk12_0)), inference(start_rule)).
% 5.33/1.14  cnf(i_0_71, plain, (relation(esk12_0)), inference(extension_rule, [i_0_16])).
% 5.33/1.14  cnf(i_0_420, plain, (~relation(empty_set)), inference(closure_rule, [i_0_14])).
% 5.33/1.14  cnf(i_0_421, plain, (~function(esk12_0)), inference(closure_rule, [i_0_62])).
% 5.33/1.14  cnf(i_0_418, plain, (function(relation_composition(empty_set,esk12_0))), inference(extension_rule, [i_0_7])).
% 5.33/1.14  cnf(i_0_422, plain, (~function(empty_set)), inference(etableau_closure_rule, [i_0_422, ...])).
% 5.33/1.14  cnf(i_0_451, plain, (function(function_inverse(relation_composition(empty_set,esk12_0)))), inference(etableau_closure_rule, [i_0_451, ...])).
% 5.33/1.14  cnf(i_0_452, plain, (~relation(relation_composition(empty_set,esk12_0))), inference(etableau_closure_rule, [i_0_452, ...])).
% 5.33/1.14  # End printing tableau
% 5.33/1.14  # SZS output end
% 5.33/1.14  # Branches closed with saturation will be marked with an "s"
% 5.33/1.14  # Child (10685) has found a proof.
% 5.33/1.14  
% 5.33/1.14  # Proof search is over...
% 5.33/1.14  # Freeing feature tree
%------------------------------------------------------------------------------