TSTP Solution File: SEU148+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU148+3 : 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 : n004.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 09:24:11 EDT 2022

% Result   : Theorem 0.11s 0.36s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.11  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jun 19 12:47:53 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.35  # No SInE strategy applied
% 0.11/0.35  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.35  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.11/0.35  #
% 0.11/0.35  # Presaturation interreduction done
% 0.11/0.35  # Number of axioms: 15 Number of unprocessed: 14
% 0.11/0.35  # Tableaux proof search.
% 0.11/0.35  # APR header successfully linked.
% 0.11/0.35  # Hello from C++
% 0.11/0.35  # The folding up rule is enabled...
% 0.11/0.35  # Local unification is enabled...
% 0.11/0.35  # Any saturation attempts will use folding labels...
% 0.11/0.35  # 14 beginning clauses after preprocessing and clausification
% 0.11/0.35  # Creating start rules for all 2 conjectures.
% 0.11/0.35  # There are 2 start rule candidates:
% 0.11/0.35  # Found 9 unit axioms.
% 0.11/0.35  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.11/0.35  # 2 start rule tableaux created.
% 0.11/0.35  # 5 extension rule candidate clauses
% 0.11/0.35  # 9 unit axiom clauses
% 0.11/0.35  
% 0.11/0.35  # Requested 8, 32 cores available to the main process.
% 0.11/0.35  # There are not enough tableaux to fork, creating more from the initial 2
% 0.11/0.35  # Creating equality axioms
% 0.11/0.35  # Ran out of tableaux, making start rules for all clauses
% 0.11/0.35  # Returning from population with 16 new_tableaux and 0 remaining starting tableaux.
% 0.11/0.35  # We now have 16 tableaux to operate on
% 0.11/0.36  # There were 1 total branch saturation attempts.
% 0.11/0.36  # There were 0 of these attempts blocked.
% 0.11/0.36  # There were 0 deferred branch saturation attempts.
% 0.11/0.36  # There were 0 free duplicated saturations.
% 0.11/0.36  # There were 1 total successful branch saturations.
% 0.11/0.36  # There were 0 successful branch saturations in interreduction.
% 0.11/0.36  # There were 0 successful branch saturations on the branch.
% 0.11/0.36  # There were 1 successful branch saturations after the branch.
% 0.11/0.36  # There were 1 total branch saturation attempts.
% 0.11/0.36  # There were 0 of these attempts blocked.
% 0.11/0.36  # There were 0 deferred branch saturation attempts.
% 0.11/0.36  # There were 0 free duplicated saturations.
% 0.11/0.36  # There were 1 total successful branch saturations.
% 0.11/0.36  # There were 0 successful branch saturations in interreduction.
% 0.11/0.36  # There were 0 successful branch saturations on the branch.
% 0.11/0.36  # There were 1 successful branch saturations after the branch.
% 0.11/0.36  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  # Begin clausification derivation
% 0.11/0.36  
% 0.11/0.36  # End clausification derivation
% 0.11/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.11/0.36  cnf(i_0_15, negated_conjecture, (subset(singleton(esk4_0),singleton(esk5_0)))).
% 0.11/0.36  cnf(i_0_6, plain, (empty(empty_set))).
% 0.11/0.36  cnf(i_0_11, plain, (empty(esk2_0))).
% 0.11/0.36  cnf(i_0_13, plain, (subset(X1,X1))).
% 0.11/0.36  cnf(i_0_9, plain, (subset(empty_set,singleton(X1)))).
% 0.11/0.36  cnf(i_0_4, plain, (in(X1,singleton(X1)))).
% 0.11/0.36  cnf(i_0_14, negated_conjecture, (esk5_0!=esk4_0)).
% 0.11/0.36  cnf(i_0_7, plain, (singleton(X1)!=empty_set)).
% 0.11/0.36  cnf(i_0_12, plain, (~empty(esk3_0))).
% 0.11/0.36  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.11/0.36  cnf(i_0_10, plain, (X1=singleton(X2)|X1=empty_set|~subset(X1,singleton(X2)))).
% 0.11/0.36  cnf(i_0_5, plain, (X1=X2|~in(X1,singleton(X2)))).
% 0.11/0.36  cnf(i_0_2, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 0.11/0.36  cnf(i_0_3, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.11/0.36  cnf(i_0_75, plain, (X21=X21)).
% 0.11/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.11/0.36  # Begin printing tableau
% 0.11/0.36  # Found 7 steps
% 0.11/0.36  cnf(i_0_15, negated_conjecture, (subset(singleton(esk4_0),singleton(esk5_0))), inference(start_rule)).
% 0.11/0.36  cnf(i_0_83, plain, (subset(singleton(esk4_0),singleton(esk5_0))), inference(extension_rule, [i_0_82])).
% 0.11/0.36  cnf(i_0_136, plain, ($false), inference(closure_rule, [i_0_75])).
% 0.11/0.36  cnf(i_0_135, plain, (subset(singleton(esk4_0),singleton(esk5_0))), inference(extension_rule, [i_0_10])).
% 0.11/0.36  cnf(i_0_137, plain, ($false), inference(closure_rule, [i_0_75])).
% 0.11/0.36  cnf(i_0_142, plain, (singleton(esk4_0)=empty_set), inference(closure_rule, [i_0_7])).
% 0.11/0.36  cnf(i_0_141, plain, (singleton(esk4_0)=singleton(esk5_0)), inference(etableau_closure_rule, [i_0_141, ...])).
% 0.11/0.36  # End printing tableau
% 0.11/0.36  # SZS output end
% 0.11/0.36  # Branches closed with saturation will be marked with an "s"
% 0.11/0.36  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  # Begin clausification derivation
% 0.11/0.36  
% 0.11/0.36  # End clausification derivation
% 0.11/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.11/0.36  cnf(i_0_15, negated_conjecture, (subset(singleton(esk4_0),singleton(esk5_0)))).
% 0.11/0.36  cnf(i_0_6, plain, (empty(empty_set))).
% 0.11/0.36  cnf(i_0_11, plain, (empty(esk2_0))).
% 0.11/0.36  cnf(i_0_13, plain, (subset(X1,X1))).
% 0.11/0.36  cnf(i_0_9, plain, (subset(empty_set,singleton(X1)))).
% 0.11/0.36  cnf(i_0_4, plain, (in(X1,singleton(X1)))).
% 0.11/0.36  cnf(i_0_14, negated_conjecture, (esk5_0!=esk4_0)).
% 0.11/0.36  cnf(i_0_7, plain, (singleton(X1)!=empty_set)).
% 0.11/0.36  cnf(i_0_12, plain, (~empty(esk3_0))).
% 0.11/0.36  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.11/0.36  cnf(i_0_10, plain, (X1=singleton(X2)|X1=empty_set|~subset(X1,singleton(X2)))).
% 0.11/0.36  cnf(i_0_5, plain, (X1=X2|~in(X1,singleton(X2)))).
% 0.11/0.36  cnf(i_0_2, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 0.11/0.36  cnf(i_0_3, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.11/0.36  cnf(i_0_75, plain, (X21=X21)).
% 0.11/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.11/0.36  # Begin printing tableau
% 0.11/0.36  # Found 6 steps
% 0.11/0.36  cnf(i_0_15, negated_conjecture, (subset(singleton(esk4_0),singleton(esk5_0))), inference(start_rule)).
% 0.11/0.36  cnf(i_0_83, plain, (subset(singleton(esk4_0),singleton(esk5_0))), inference(extension_rule, [i_0_10])).
% 0.11/0.36  cnf(i_0_109, plain, (singleton(esk4_0)=empty_set), inference(closure_rule, [i_0_7])).
% 0.11/0.36  cnf(i_0_108, plain, (singleton(esk4_0)=singleton(esk5_0)), inference(extension_rule, [i_0_78])).
% 0.11/0.36  cnf(i_0_156, plain, (singleton(esk4_0)=empty_set), inference(closure_rule, [i_0_7])).
% 0.11/0.36  cnf(i_0_158, plain, (singleton(esk5_0)!=empty_set), inference(etableau_closure_rule, [i_0_158, ...])).
% 0.11/0.36  # End printing tableau
% 0.11/0.36  # SZS output end
% 0.11/0.36  # Branches closed with saturation will be marked with an "s"
% 0.11/0.36  # There were 1 total branch saturation attempts.
% 0.11/0.36  # There were 0 of these attempts blocked.
% 0.11/0.36  # There were 0 deferred branch saturation attempts.
% 0.11/0.36  # There were 0 free duplicated saturations.
% 0.11/0.36  # There were 1 total successful branch saturations.
% 0.11/0.36  # There were 0 successful branch saturations in interreduction.
% 0.11/0.36  # There were 0 successful branch saturations on the branch.
% 0.11/0.36  # There were 1 successful branch saturations after the branch.
% 0.11/0.36  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  # Begin clausification derivation
% 0.11/0.36  
% 0.11/0.36  # End clausification derivation
% 0.11/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.11/0.36  cnf(i_0_15, negated_conjecture, (subset(singleton(esk4_0),singleton(esk5_0)))).
% 0.11/0.36  cnf(i_0_6, plain, (empty(empty_set))).
% 0.11/0.36  cnf(i_0_11, plain, (empty(esk2_0))).
% 0.11/0.36  cnf(i_0_13, plain, (subset(X1,X1))).
% 0.11/0.36  cnf(i_0_9, plain, (subset(empty_set,singleton(X1)))).
% 0.11/0.36  cnf(i_0_4, plain, (in(X1,singleton(X1)))).
% 0.11/0.36  cnf(i_0_14, negated_conjecture, (esk5_0!=esk4_0)).
% 0.11/0.36  cnf(i_0_7, plain, (singleton(X1)!=empty_set)).
% 0.11/0.36  cnf(i_0_12, plain, (~empty(esk3_0))).
% 0.11/0.36  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.11/0.36  cnf(i_0_10, plain, (X1=singleton(X2)|X1=empty_set|~subset(X1,singleton(X2)))).
% 0.11/0.36  cnf(i_0_5, plain, (X1=X2|~in(X1,singleton(X2)))).
% 0.11/0.36  cnf(i_0_2, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 0.11/0.36  cnf(i_0_3, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.11/0.36  cnf(i_0_75, plain, (X21=X21)).
% 0.11/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.11/0.36  # Begin printing tableau
% 0.11/0.36  # Found 6 steps
% 0.11/0.36  cnf(i_0_14, negated_conjecture, (esk5_0!=esk4_0), inference(start_rule)).
% 0.11/0.36  cnf(i_0_89, plain, (esk5_0!=esk4_0), inference(extension_rule, [i_0_5])).
% 0.11/0.36  cnf(i_0_145, plain, (~in(esk5_0,singleton(esk4_0))), inference(extension_rule, [i_0_79])).
% 0.11/0.36  cnf(i_0_165, plain, ($false), inference(closure_rule, [i_0_75])).
% 0.11/0.36  cnf(i_0_167, plain, (~in(esk5_0,singleton(esk5_0))), inference(closure_rule, [i_0_4])).
% 0.11/0.36  cnf(i_0_166, plain, (singleton(esk5_0)!=singleton(esk4_0)), inference(etableau_closure_rule, [i_0_166, ...])).
% 0.11/0.36  # End printing tableau
% 0.11/0.36  # SZS output end
% 0.11/0.36  # Branches closed with saturation will be marked with an "s"
% 0.11/0.36  # Child (5980) has found a proof.
% 0.11/0.36  
% 0.11/0.36  # Proof search is over...
% 0.11/0.36  # Freeing feature tree
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