TSTP Solution File: SEU155+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU155+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 : n013.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 09:24:15 EDT 2022

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU155+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 : n013.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 11:52:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.13/0.37  # and selection function SelectCQIPrecWNTNp.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 13 Number of unprocessed: 13
% 0.13/0.37  # Tableaux proof search.
% 0.13/0.37  # APR header successfully linked.
% 0.13/0.37  # Hello from C++
% 0.13/0.37  # The folding up rule is enabled...
% 0.13/0.37  # Local unification is enabled...
% 0.13/0.37  # Any saturation attempts will use folding labels...
% 0.13/0.37  # 13 beginning clauses after preprocessing and clausification
% 0.13/0.37  # Creating start rules for all 2 conjectures.
% 0.13/0.37  # There are 2 start rule candidates:
% 0.13/0.37  # Found 3 unit axioms.
% 0.13/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37  # 2 start rule tableaux created.
% 0.13/0.37  # 10 extension rule candidate clauses
% 0.13/0.37  # 3 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.37  # There are not enough tableaux to fork, creating more from the initial 2
% 0.13/0.37  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37  # We now have 8 tableaux to operate on
% 0.13/0.38  # Creating equality axioms
% 0.13/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 1 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 1 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_13, negated_conjecture, (in(esk5_0,esk6_0))).
% 0.13/0.38  cnf(i_0_14, plain, (subset(X1,X1))).
% 0.13/0.38  cnf(i_0_12, negated_conjecture, (~subset(esk5_0,union(esk6_0)))).
% 0.13/0.38  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.13/0.38  cnf(i_0_2, plain, (subset(X1,X2)|~in(esk1_2(X1,X2),X2))).
% 0.13/0.38  cnf(i_0_3, plain, (subset(X1,X2)|in(esk1_2(X1,X2),X1))).
% 0.13/0.38  cnf(i_0_4, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.13/0.38  cnf(i_0_8, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 0.13/0.38  cnf(i_0_10, plain, (in(X1,esk2_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 0.13/0.38  cnf(i_0_9, plain, (in(esk2_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 0.13/0.38  cnf(i_0_7, plain, (X1=union(X2)|~in(esk3_2(X2,X1),X3)|~in(esk3_2(X2,X1),X1)|~in(X3,X2))).
% 0.13/0.38  cnf(i_0_5, plain, (X1=union(X2)|in(esk4_2(X2,X1),X2)|in(esk3_2(X2,X1),X1))).
% 0.13/0.38  cnf(i_0_6, plain, (X1=union(X2)|in(esk3_2(X2,X1),esk4_2(X2,X1))|in(esk3_2(X2,X1),X1))).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 5 steps
% 0.13/0.38  cnf(i_0_13, negated_conjecture, (in(esk5_0,esk6_0)), inference(start_rule)).
% 0.13/0.38  cnf(i_0_19, plain, (in(esk5_0,esk6_0)), inference(extension_rule, [i_0_4])).
% 0.13/0.38  cnf(i_0_52, plain, (in(esk5_0,esk6_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.38  cnf(i_0_53, plain, (~subset(esk6_0,esk6_0)), inference(closure_rule, [i_0_14])).
% 0.13/0.38  cnf(i_0_73, plain, (~in(esk6_0,esk5_0)), inference(etableau_closure_rule, [i_0_73, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 1 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 1 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_13, negated_conjecture, (in(esk5_0,esk6_0))).
% 0.13/0.38  cnf(i_0_14, plain, (subset(X1,X1))).
% 0.13/0.38  cnf(i_0_12, negated_conjecture, (~subset(esk5_0,union(esk6_0)))).
% 0.13/0.38  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.13/0.38  cnf(i_0_2, plain, (subset(X1,X2)|~in(esk1_2(X1,X2),X2))).
% 0.13/0.38  cnf(i_0_3, plain, (subset(X1,X2)|in(esk1_2(X1,X2),X1))).
% 0.13/0.38  cnf(i_0_4, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.13/0.38  cnf(i_0_8, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 0.13/0.38  cnf(i_0_10, plain, (in(X1,esk2_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 0.13/0.38  cnf(i_0_9, plain, (in(esk2_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 0.13/0.38  cnf(i_0_7, plain, (X1=union(X2)|~in(esk3_2(X2,X1),X3)|~in(esk3_2(X2,X1),X1)|~in(X3,X2))).
% 0.13/0.38  cnf(i_0_5, plain, (X1=union(X2)|in(esk4_2(X2,X1),X2)|in(esk3_2(X2,X1),X1))).
% 0.13/0.38  cnf(i_0_6, plain, (X1=union(X2)|in(esk3_2(X2,X1),esk4_2(X2,X1))|in(esk3_2(X2,X1),X1))).
% 0.13/0.38  cnf(i_0_98, plain, (X27=X27)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 6 steps
% 0.13/0.38  cnf(i_0_98, plain, (esk5_0=esk5_0), inference(start_rule)).
% 0.13/0.38  cnf(i_0_134, plain, (esk5_0=esk5_0), inference(extension_rule, [i_0_102])).
% 0.13/0.38  cnf(i_0_170, plain, ($false), inference(closure_rule, [i_0_98])).
% 0.13/0.38  cnf(i_0_171, plain, (~in(esk5_0,esk6_0)), inference(closure_rule, [i_0_13])).
% 0.13/0.38  cnf(i_0_168, plain, (in(esk5_0,esk6_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.38  cnf(i_0_173, plain, (~in(esk6_0,esk5_0)), inference(etableau_closure_rule, [i_0_173, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 1 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 1 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_13, negated_conjecture, (in(esk5_0,esk6_0))).
% 0.13/0.38  cnf(i_0_14, plain, (subset(X1,X1))).
% 0.13/0.38  cnf(i_0_12, negated_conjecture, (~subset(esk5_0,union(esk6_0)))).
% 0.13/0.38  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.13/0.38  cnf(i_0_2, plain, (subset(X1,X2)|~in(esk1_2(X1,X2),X2))).
% 0.13/0.38  cnf(i_0_3, plain, (subset(X1,X2)|in(esk1_2(X1,X2),X1))).
% 0.13/0.38  cnf(i_0_4, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.13/0.38  cnf(i_0_8, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 0.13/0.38  cnf(i_0_10, plain, (in(X1,esk2_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 0.13/0.38  cnf(i_0_9, plain, (in(esk2_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 0.13/0.38  cnf(i_0_7, plain, (X1=union(X2)|~in(esk3_2(X2,X1),X3)|~in(esk3_2(X2,X1),X1)|~in(X3,X2))).
% 0.13/0.38  cnf(i_0_5, plain, (X1=union(X2)|in(esk4_2(X2,X1),X2)|in(esk3_2(X2,X1),X1))).
% 0.13/0.38  cnf(i_0_6, plain, (X1=union(X2)|in(esk3_2(X2,X1),esk4_2(X2,X1))|in(esk3_2(X2,X1),X1))).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 4 steps
% 0.13/0.38  cnf(i_0_12, negated_conjecture, (~subset(esk5_0,union(esk6_0))), inference(start_rule)).
% 0.13/0.38  cnf(i_0_18, plain, (~subset(esk5_0,union(esk6_0))), inference(extension_rule, [i_0_3])).
% 0.13/0.38  cnf(i_0_25, plain, (in(esk1_2(esk5_0,union(esk6_0)),esk5_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.38  cnf(i_0_73, plain, (~in(esk5_0,esk1_2(esk5_0,union(esk6_0)))), inference(etableau_closure_rule, [i_0_73, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # Child (8716) has found a proof.
% 0.13/0.38  
% 0.13/0.38  # Proof search is over...
% 0.13/0.38  # Freeing feature tree
%------------------------------------------------------------------------------