TSTP Solution File: SEU045+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU045+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 : 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 09:23:36 EDT 2022

% Result   : Theorem 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU045+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 20:36:32 EDT 2022
% 0.13/0.35  % 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: 62 Number of unprocessed: 62
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.13/0.39  # The folding up rule is enabled...
% 0.13/0.39  # Local unification is enabled...
% 0.13/0.39  # Any saturation attempts will use folding labels...
% 0.13/0.39  # 62 beginning clauses after preprocessing and clausification
% 0.13/0.39  # Creating start rules for all 4 conjectures.
% 0.13/0.39  # There are 4 start rule candidates:
% 0.13/0.39  # Found 31 unit axioms.
% 0.13/0.39  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.39  # 4 start rule tableaux created.
% 0.13/0.39  # 31 extension rule candidate clauses
% 0.13/0.39  # 31 unit axiom clauses
% 0.13/0.39  
% 0.13/0.39  # Requested 8, 32 cores available to the main process.
% 0.13/0.39  # There are not enough tableaux to fork, creating more from the initial 4
% 0.13/0.39  # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.39  # We now have 14 tableaux to operate on
% 0.13/0.40  # There were 1 total branch saturation attempts.
% 0.13/0.40  # There were 0 of these attempts blocked.
% 0.13/0.40  # There were 0 deferred branch saturation attempts.
% 0.13/0.40  # There were 0 free duplicated saturations.
% 0.13/0.40  # There were 1 total successful branch saturations.
% 0.13/0.40  # There were 0 successful branch saturations in interreduction.
% 0.13/0.40  # There were 0 successful branch saturations on the branch.
% 0.13/0.40  # There were 1 successful branch saturations after the branch.
% 0.13/0.40  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # Begin clausification derivation
% 0.13/0.40  
% 0.13/0.40  # End clausification derivation
% 0.13/0.40  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.40  cnf(i_0_3, plain, (empty(empty_set))).
% 0.13/0.40  cnf(i_0_6, plain, (empty(empty_set))).
% 0.13/0.40  cnf(i_0_7, plain, (empty(empty_set))).
% 0.13/0.40  cnf(i_0_32, plain, (empty(esk3_0))).
% 0.13/0.40  cnf(i_0_42, plain, (empty(esk7_0))).
% 0.13/0.40  cnf(i_0_47, plain, (empty(esk10_0))).
% 0.13/0.40  cnf(i_0_2, plain, (relation(empty_set))).
% 0.13/0.40  cnf(i_0_5, plain, (relation(empty_set))).
% 0.13/0.40  cnf(i_0_30, plain, (relation(esk2_0))).
% 0.13/0.40  cnf(i_0_33, plain, (relation(esk3_0))).
% 0.13/0.40  cnf(i_0_36, plain, (relation(esk4_0))).
% 0.13/0.40  cnf(i_0_41, plain, (relation(esk7_0))).
% 0.13/0.40  cnf(i_0_43, plain, (relation(esk8_0))).
% 0.13/0.40  cnf(i_0_46, plain, (relation(esk9_0))).
% 0.13/0.40  cnf(i_0_54, negated_conjecture, (relation(esk14_0))).
% 0.13/0.40  cnf(i_0_4, plain, (relation_empty_yielding(empty_set))).
% 0.13/0.40  cnf(i_0_45, plain, (relation_empty_yielding(esk9_0))).
% 0.13/0.40  cnf(i_0_29, plain, (function(esk2_0))).
% 0.13/0.40  cnf(i_0_31, plain, (function(esk3_0))).
% 0.13/0.40  cnf(i_0_35, plain, (function(esk4_0))).
% 0.13/0.40  cnf(i_0_53, negated_conjecture, (function(esk14_0))).
% 0.13/0.40  cnf(i_0_34, plain, (one_to_one(esk4_0))).
% 0.13/0.40  cnf(i_0_44, plain, (~empty(esk8_0))).
% 0.13/0.40  cnf(i_0_48, plain, (~empty(esk11_0))).
% 0.13/0.40  cnf(i_0_23, plain, (X1=empty_set|~empty(X1))).
% 0.13/0.40  cnf(i_0_39, plain, (empty(esk6_1(X1)))).
% 0.13/0.40  cnf(i_0_17, plain, (relation(X1)|~empty(X1))).
% 0.13/0.40  cnf(i_0_9, plain, (function(X1)|~empty(X1))).
% 0.13/0.40  cnf(i_0_1, plain, (subset(X1,X1))).
% 0.13/0.40  cnf(i_0_24, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.13/0.40  cnf(i_0_13, plain, (~empty(powerset(X1)))).
% 0.13/0.40  cnf(i_0_16, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.13/0.40  cnf(i_0_15, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.13/0.40  cnf(i_0_8, plain, (element(esk1_1(X1),X1))).
% 0.13/0.40  cnf(i_0_37, plain, (empty(X1)|~empty(esk5_1(X1)))).
% 0.13/0.40  cnf(i_0_10, plain, (one_to_one(X1)|~empty(X1)|~relation(X1)|~function(X1))).
% 0.13/0.40  cnf(i_0_40, plain, (element(esk6_1(X1),powerset(X1)))).
% 0.13/0.40  cnf(i_0_14, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.13/0.40  cnf(i_0_50, plain, (~empty(X2)|~in(X1,X2))).
% 0.13/0.40  cnf(i_0_38, plain, (empty(X1)|element(esk5_1(X1),powerset(X1)))).
% 0.13/0.40  cnf(i_0_49, plain, (element(X1,X2)|~in(X1,X2))).
% 0.13/0.40  cnf(i_0_26, plain, (relation(relation_rng_restriction(X2,X1))|~relation(X1))).
% 0.13/0.40  cnf(i_0_18, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 0.13/0.40  cnf(i_0_19, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.13/0.40  cnf(i_0_28, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 0.13/0.40  cnf(i_0_27, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 0.13/0.40  cnf(i_0_25, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.13/0.40  cnf(i_0_20, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.13/0.40  cnf(i_0_52, negated_conjecture, (in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))))).
% 0.13/0.40  cnf(i_0_22, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.40  cnf(i_0_51, negated_conjecture, (apply(relation_rng_restriction(esk12_0,esk14_0),esk13_0)!=apply(esk14_0,esk13_0))).
% 0.13/0.40  cnf(i_0_21, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 0.13/0.40  cnf(i_0_64, plain, (in(X1,relation_dom(X2))|X3!=relation_rng_restriction(X4,X2)|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(X3)))).
% 0.13/0.40  cnf(i_0_61, plain, (apply(X2,X1)=apply(X3,X1)|X2!=relation_rng_restriction(X4,X3)|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(X2)))).
% 0.13/0.40  cnf(i_0_63, plain, (in(apply(X1,X2),X3)|X4!=relation_rng_restriction(X3,X1)|~relation(X4)|~relation(X1)|~function(X4)|~function(X1)|~in(X2,relation_dom(X4)))).
% 0.13/0.40  cnf(i_0_62, plain, (in(X1,relation_dom(X4))|X4!=relation_rng_restriction(X3,X2)|~relation(X4)|~relation(X2)|~function(X4)|~function(X2)|~in(X1,relation_dom(X2))|~in(apply(X2,X1),X3))).
% 0.13/0.40  cnf(i_0_58, plain, (X2=relation_rng_restriction(X1,X3)|in(esk15_3(X1,X2,X3),relation_dom(X3))|in(esk15_3(X1,X2,X3),relation_dom(X2))|in(esk16_3(X1,X2,X3),relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2))).
% 0.13/0.40  cnf(i_0_56, plain, (X2=relation_rng_restriction(X1,X3)|in(esk15_3(X1,X2,X3),relation_dom(X2))|in(esk16_3(X1,X2,X3),relation_dom(X2))|in(apply(X3,esk15_3(X1,X2,X3)),X1)|~relation(X3)|~relation(X2)|~function(X3)|~function(X2))).
% 0.13/0.40  cnf(i_0_57, plain, (X1=relation_rng_restriction(X2,X3)|in(esk15_3(X2,X1,X3),relation_dom(X3))|in(esk15_3(X2,X1,X3),relation_dom(X1))|apply(X1,esk16_3(X2,X1,X3))!=apply(X3,esk16_3(X2,X1,X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1))).
% 0.13/0.40  cnf(i_0_55, plain, (X1=relation_rng_restriction(X2,X3)|in(esk15_3(X2,X1,X3),relation_dom(X1))|in(apply(X3,esk15_3(X2,X1,X3)),X2)|apply(X1,esk16_3(X2,X1,X3))!=apply(X3,esk16_3(X2,X1,X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1))).
% 0.13/0.40  cnf(i_0_60, plain, (X2=relation_rng_restriction(X1,X3)|in(esk16_3(X1,X2,X3),relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(esk15_3(X1,X2,X3),relation_dom(X3))|~in(esk15_3(X1,X2,X3),relation_dom(X2))|~in(apply(X3,esk15_3(X1,X2,X3)),X1))).
% 0.13/0.40  cnf(i_0_59, plain, (X1=relation_rng_restriction(X2,X3)|apply(X1,esk16_3(X2,X1,X3))!=apply(X3,esk16_3(X2,X1,X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(esk15_3(X2,X1,X3),relation_dom(X3))|~in(esk15_3(X2,X1,X3),relation_dom(X1))|~in(apply(X3,esk15_3(X2,X1,X3)),X2))).
% 0.13/0.40  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.40  # Begin printing tableau
% 0.13/0.40  # Found 5 steps
% 0.13/0.40  cnf(i_0_53, negated_conjecture, (function(esk14_0)), inference(start_rule)).
% 0.13/0.40  cnf(i_0_67, plain, (function(esk14_0)), inference(extension_rule, [i_0_28])).
% 0.13/0.40  cnf(i_0_640, plain, (~relation(esk14_0)), inference(closure_rule, [i_0_54])).
% 0.13/0.40  cnf(i_0_639, plain, (relation(relation_rng_restriction(X3,esk14_0))), inference(extension_rule, [i_0_26])).
% 0.13/0.40  cnf(i_0_1106, plain, (relation(relation_rng_restriction(X5,relation_rng_restriction(X3,esk14_0)))), inference(etableau_closure_rule, [i_0_1106, ...])).
% 0.13/0.40  # End printing tableau
% 0.13/0.40  # SZS output end
% 0.13/0.40  # Branches closed with saturation will be marked with an "s"
% 0.13/0.40  # Child (18855) has found a proof.
% 0.13/0.40  
% 0.13/0.40  # Proof search is over...
% 0.13/0.40  # Freeing feature tree
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