TSTP Solution File: SEU248+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU248+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 : n029.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 09:25:11 EDT 2022

% Result   : Theorem 168.46s 21.54s
% Output   : CNFRefutation 168.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % 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 : n029.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 13:17:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.12/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.36  #
% 0.12/0.36  # Number of axioms: 45 Number of unprocessed: 45
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # 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  # 45 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 2 conjectures.
% 0.12/0.37  # There are 2 start rule candidates:
% 0.12/0.37  # Found 17 unit axioms.
% 0.12/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37  # 2 start rule tableaux created.
% 0.12/0.37  # 28 extension rule candidate clauses
% 0.12/0.37  # 17 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 2
% 0.12/0.37  # Returning from population with 23 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37  # We now have 23 tableaux to operate on
% 168.46/21.54  # There were 3 total branch saturation attempts.
% 168.46/21.54  # There were 0 of these attempts blocked.
% 168.46/21.54  # There were 0 deferred branch saturation attempts.
% 168.46/21.54  # There were 0 free duplicated saturations.
% 168.46/21.54  # There were 3 total successful branch saturations.
% 168.46/21.54  # There were 0 successful branch saturations in interreduction.
% 168.46/21.54  # There were 0 successful branch saturations on the branch.
% 168.46/21.54  # There were 3 successful branch saturations after the branch.
% 168.46/21.54  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.46/21.54  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.46/21.54  # Begin clausification derivation
% 168.46/21.54  
% 168.46/21.54  # End clausification derivation
% 168.46/21.54  # Begin listing active clauses obtained from FOF to CNF conversion
% 168.46/21.54  cnf(i_0_30, plain, (empty(empty_set))).
% 168.46/21.54  cnf(i_0_38, plain, (empty(esk11_0))).
% 168.46/21.54  cnf(i_0_40, plain, (empty(esk12_0))).
% 168.46/21.54  cnf(i_0_36, plain, (function(esk10_0))).
% 168.46/21.54  cnf(i_0_39, plain, (function(esk12_0))).
% 168.46/21.54  cnf(i_0_44, plain, (function(esk14_0))).
% 168.46/21.54  cnf(i_0_35, negated_conjecture, (relation(esk9_0))).
% 168.46/21.54  cnf(i_0_37, plain, (relation(esk10_0))).
% 168.46/21.54  cnf(i_0_41, plain, (relation(esk12_0))).
% 168.46/21.54  cnf(i_0_45, plain, (relation(esk14_0))).
% 168.46/21.54  cnf(i_0_43, plain, (one_to_one(esk14_0))).
% 168.46/21.54  cnf(i_0_42, plain, (~empty(esk13_0))).
% 168.46/21.54  cnf(i_0_53, plain, (X1=empty_set|~empty(X1))).
% 168.46/21.54  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 168.46/21.54  cnf(i_0_46, plain, (subset(X1,X1))).
% 168.46/21.54  cnf(i_0_55, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 168.46/21.54  cnf(i_0_29, plain, (element(esk7_1(X1),X1))).
% 168.46/21.54  cnf(i_0_3, plain, (one_to_one(X1)|~empty(X1)|~function(X1)|~relation(X1))).
% 168.46/21.54  cnf(i_0_6, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 168.46/21.54  cnf(i_0_54, plain, (~empty(X2)|~in(X1,X2))).
% 168.46/21.54  cnf(i_0_47, plain, (element(X1,X2)|~in(X1,X2))).
% 168.46/21.54  cnf(i_0_27, plain, (relation(relation_rng_restriction(X2,X1))|~relation(X1))).
% 168.46/21.54  cnf(i_0_48, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 168.46/21.54  cnf(i_0_49, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 168.46/21.54  cnf(i_0_32, plain, (function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2))).
% 168.46/21.54  cnf(i_0_33, plain, (relation(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2))).
% 168.46/21.54  cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 168.46/21.54  cnf(i_0_50, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 168.46/21.54  cnf(i_0_14, plain, (subset(X1,X2)|in(esk3_2(X1,X2),X1))).
% 168.46/21.54  cnf(i_0_15, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 168.46/21.54  cnf(i_0_52, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 168.46/21.54  cnf(i_0_51, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))).
% 168.46/21.54  cnf(i_0_13, plain, (subset(X1,X2)|~in(esk3_2(X1,X2),X2))).
% 168.46/21.54  cnf(i_0_34, negated_conjecture, (~subset(relation_dom(relation_rng_restriction(esk8_0,esk9_0)),relation_dom(esk9_0)))).
% 168.46/21.54  cnf(i_0_31, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))).
% 168.46/21.54  cnf(i_0_18, plain, (in(X1,X4)|X4!=relation_dom(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))).
% 168.46/21.54  cnf(i_0_12, plain, (in(X1,X2)|X4!=relation_rng_restriction(X2,X5)|~relation(X5)|~relation(X4)|~in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X4))).
% 168.46/21.54  cnf(i_0_11, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|X4!=relation_rng_restriction(X5,X3)|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4))).
% 168.46/21.54  cnf(i_0_10, plain, (in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X5)|X5!=relation_rng_restriction(X2,X4)|~relation(X5)|~relation(X4)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X4))).
% 168.46/21.54  cnf(i_0_16, plain, (X2=relation_dom(X1)|in(esk5_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk5_2(X1,X2),esk6_2(X1,X2)),singleton(esk5_2(X1,X2))),X1)|~relation(X1))).
% 168.46/21.54  cnf(i_0_17, plain, (X2=relation_dom(X1)|~relation(X1)|~in(esk5_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(esk5_2(X1,X2),X3),singleton(esk5_2(X1,X2))),X1))).
% 168.46/21.54  cnf(i_0_19, plain, (in(unordered_pair(unordered_pair(X1,esk4_3(X3,X2,X1)),singleton(X1)),X3)|X2!=relation_dom(X3)|~relation(X3)|~in(X1,X2))).
% 168.46/21.54  cnf(i_0_8, plain, (X3=relation_rng_restriction(X1,X2)|in(esk2_3(X1,X2,X3),X1)|in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2))).
% 168.46/21.54  cnf(i_0_7, plain, (X3=relation_rng_restriction(X1,X2)|in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X3)|in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X2)|~relation(X3)|~relation(X2))).
% 168.46/21.54  cnf(i_0_9, plain, (X3=relation_rng_restriction(X1,X2)|~relation(X3)|~relation(X2)|~in(esk2_3(X1,X2,X3),X1)|~in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X3)|~in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X2))).
% 168.46/21.54  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 168.46/21.54  # Begin printing tableau
% 168.46/21.54  # Found 4 steps
% 168.46/21.54  cnf(i_0_35, negated_conjecture, (relation(esk9_0)), inference(start_rule)).
% 168.46/21.54  cnf(i_0_57, plain, (relation(esk9_0)), inference(extension_rule, [i_0_27])).
% 168.46/21.54  cnf(i_0_166, plain, (relation(relation_rng_restriction(X4,esk9_0))), inference(extension_rule, [i_0_27])).
% 168.46/21.54  cnf(i_0_397960, plain, (relation(relation_rng_restriction(X5,relation_rng_restriction(X4,esk9_0)))), inference(etableau_closure_rule, [i_0_397960, ...])).
% 168.46/21.54  # End printing tableau
% 168.46/21.54  # SZS output end
% 168.46/21.54  # Branches closed with saturation will be marked with an "s"
% 168.46/21.56  # Child (12692) has found a proof.
% 168.46/21.56  
% 168.46/21.56  # Proof search is over...
% 168.46/21.56  # Freeing feature tree
%------------------------------------------------------------------------------