TSTP Solution File: HWC004-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : HWC004-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n026.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 : Sat Jul 16 13:07:04 EDT 2022

% Result   : Satisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HWC004-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12  % 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 : n026.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 : Thu Jun  9 13:12:18 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_RG_S04AN
% 0.13/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 10 Number of unprocessed: 10
% 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  # 10 beginning clauses after preprocessing and clausification
% 0.13/0.37  # No conjectures after preprocessing.  Attempting to resurrect them from ax_archive.
% 0.13/0.37  # No conjectures.
% 0.13/0.37  # There are 10 start rule candidates:
% 0.13/0.37  # Found 10 unit axioms.
% 0.13/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37  # 10 start rule tableaux created.
% 0.13/0.37  # 0 extension rule candidate clauses
% 0.13/0.37  # 10 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6519 Satisfiable branch
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6520 Satisfiable branch
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6525 Satisfiable branch
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6521 Satisfiable branch
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6522 Satisfiable branch
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6523 Satisfiable branch
% 0.13/0.37  # Satisfiable branch found.
% 0.13/0.37  # There were 1 total branch saturation attempts.
% 0.13/0.37  # There were 0 of these attempts blocked.
% 0.13/0.37  # There were 0 deferred branch saturation attempts.
% 0.13/0.37  # There were 0 free duplicated saturations.
% 0.13/0.37  # There were 0 total successful branch saturations.
% 0.13/0.37  # There were 0 successful branch saturations in interreduction.
% 0.13/0.37  # There were 0 successful branch saturations on the branch.
% 0.13/0.37  # There were 0 successful branch saturations after the branch.
% 0.13/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # Begin clausification derivation
% 0.13/0.37  
% 0.13/0.37  # End clausification derivation
% 0.13/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37  cnf(i_0_19, plain, (not(n0)=n1)).
% 0.13/0.37  cnf(i_0_20, plain, (not(n1)=n0)).
% 0.13/0.37  cnf(i_0_11, plain, (and(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_12, plain, (and(n0,n1)=n0)).
% 0.13/0.37  cnf(i_0_13, plain, (and(n1,n0)=n0)).
% 0.13/0.37  cnf(i_0_14, plain, (and(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_15, plain, (or(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_16, plain, (or(n0,n1)=n1)).
% 0.13/0.37  cnf(i_0_17, plain, (or(n1,n0)=n1)).
% 0.13/0.37  cnf(i_0_18, plain, (or(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_31, plain, (X1=X1)).
% 0.13/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.37  # Begin printing tableau
% 0.13/0.37  # Found 5 steps
% 0.13/0.37  cnf(i_0_31, plain, (n0=n0), inference(start_rule)).
% 0.13/0.37  cnf(i_0_48, plain, (n0=n0), inference(extension_rule, [i_0_35])).
% 0.13/0.37  cnf(i_0_58, plain, (not(n0)!=n1), inference(closure_rule, [i_0_19])).
% 0.13/0.37  cnf(i_0_56, plain, (and(n0,not(n0))=and(n0,n1)), inference(extension_rule, [i_0_34])).
% 0.13/0.37  cnf(i_0_65, plain, (and(n0,n1)!=n0), inference(closure_rule, [i_0_12])).
% 0.13/0.37  # End printing tableau
% 0.13/0.37  # SZS output end
% 0.13/0.37  # Branches closed with saturation will be marked with an "s"
% 0.13/0.37  # Satisfiable branch found.
% 0.13/0.37  # Satisfiable branch found.
% 0.13/0.37  # There were 1 total branch saturation attempts.
% 0.13/0.37  # There were 0 of these attempts blocked.
% 0.13/0.37  # There were 0 deferred branch saturation attempts.
% 0.13/0.37  # There were 0 free duplicated saturations.
% 0.13/0.37  # There were 0 total successful branch saturations.
% 0.13/0.37  # There were 0 successful branch saturations in interreduction.
% 0.13/0.37  # There were 0 successful branch saturations on the branch.
% 0.13/0.37  # There were 0 successful branch saturations after the branch.
% 0.13/0.37  # There were 1 total branch saturation attempts.
% 0.13/0.37  # There were 0 of these attempts blocked.
% 0.13/0.37  # There were 0 deferred branch saturation attempts.
% 0.13/0.37  # There were 0 free duplicated saturations.
% 0.13/0.37  # There were 0 total successful branch saturations.
% 0.13/0.37  # There were 0 successful branch saturations in interreduction.
% 0.13/0.37  # There were 0 successful branch saturations on the branch.
% 0.13/0.37  # There were 0 successful branch saturations after the branch.
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6524 Satisfiable branch
% 0.13/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # Begin clausification derivation
% 0.13/0.37  
% 0.13/0.37  # End clausification derivation
% 0.13/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37  cnf(i_0_19, plain, (not(n0)=n1)).
% 0.13/0.37  cnf(i_0_20, plain, (not(n1)=n0)).
% 0.13/0.37  cnf(i_0_11, plain, (and(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_12, plain, (and(n0,n1)=n0)).
% 0.13/0.37  cnf(i_0_13, plain, (and(n1,n0)=n0)).
% 0.13/0.37  cnf(i_0_14, plain, (and(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_15, plain, (or(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_16, plain, (or(n0,n1)=n1)).
% 0.13/0.37  cnf(i_0_17, plain, (or(n1,n0)=n1)).
% 0.13/0.37  cnf(i_0_18, plain, (or(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_31, plain, (X1=X1)).
% 0.13/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.37  # Begin printing tableau
% 0.13/0.37  # Found 5 steps
% 0.13/0.37  cnf(i_0_31, plain, (n0=n0), inference(start_rule)).
% 0.13/0.37  cnf(i_0_48, plain, (n0=n0), inference(extension_rule, [i_0_35])).
% 0.13/0.37  cnf(i_0_58, plain, (not(n0)!=n1), inference(closure_rule, [i_0_19])).
% 0.13/0.37  cnf(i_0_56, plain, (and(n0,not(n0))=and(n0,n1)), inference(extension_rule, [i_0_34])).
% 0.13/0.37  cnf(i_0_65, plain, (and(n0,n1)!=n0), inference(closure_rule, [i_0_12])).
% 0.13/0.37  # End printing tableau
% 0.13/0.37  # SZS output end
% 0.13/0.37  # Branches closed with saturation will be marked with an "s"
% 0.13/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # Begin clausification derivation
% 0.13/0.37  
% 0.13/0.37  # End clausification derivation
% 0.13/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37  cnf(i_0_19, plain, (not(n0)=n1)).
% 0.13/0.37  cnf(i_0_20, plain, (not(n1)=n0)).
% 0.13/0.37  cnf(i_0_11, plain, (and(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_12, plain, (and(n0,n1)=n0)).
% 0.13/0.37  cnf(i_0_13, plain, (and(n1,n0)=n0)).
% 0.13/0.37  cnf(i_0_14, plain, (and(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_15, plain, (or(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_16, plain, (or(n0,n1)=n1)).
% 0.13/0.37  cnf(i_0_17, plain, (or(n1,n0)=n1)).
% 0.13/0.37  cnf(i_0_18, plain, (or(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_31, plain, (X1=X1)).
% 0.13/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.37  # Begin printing tableau
% 0.13/0.37  # Found 5 steps
% 0.13/0.37  cnf(i_0_31, plain, (n0=n0), inference(start_rule)).
% 0.13/0.37  cnf(i_0_48, plain, (n0=n0), inference(extension_rule, [i_0_35])).
% 0.13/0.37  cnf(i_0_58, plain, (not(n0)!=n1), inference(closure_rule, [i_0_19])).
% 0.13/0.37  cnf(i_0_56, plain, (and(n0,not(n0))=and(n0,n1)), inference(extension_rule, [i_0_34])).
% 0.13/0.37  cnf(i_0_65, plain, (and(n0,n1)!=n0), inference(closure_rule, [i_0_12])).
% 0.13/0.37  # End printing tableau
% 0.13/0.37  # SZS output end
% 0.13/0.37  # Branches closed with saturation will be marked with an "s"
% 0.13/0.37  # Satisfiable branch found.
% 0.13/0.37  # There were 1 total branch saturation attempts.
% 0.13/0.37  # There were 0 of these attempts blocked.
% 0.13/0.37  # There were 0 deferred branch saturation attempts.
% 0.13/0.37  # There were 0 free duplicated saturations.
% 0.13/0.37  # There were 0 total successful branch saturations.
% 0.13/0.37  # There were 0 successful branch saturations in interreduction.
% 0.13/0.37  # There were 0 successful branch saturations on the branch.
% 0.13/0.37  # There were 0 successful branch saturations after the branch.
% 0.13/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # Begin clausification derivation
% 0.13/0.37  
% 0.13/0.37  # End clausification derivation
% 0.13/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37  cnf(i_0_19, plain, (not(n0)=n1)).
% 0.13/0.37  cnf(i_0_20, plain, (not(n1)=n0)).
% 0.13/0.37  cnf(i_0_11, plain, (and(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_12, plain, (and(n0,n1)=n0)).
% 0.13/0.37  cnf(i_0_13, plain, (and(n1,n0)=n0)).
% 0.13/0.37  cnf(i_0_14, plain, (and(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_15, plain, (or(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_16, plain, (or(n0,n1)=n1)).
% 0.13/0.37  cnf(i_0_17, plain, (or(n1,n0)=n1)).
% 0.13/0.37  cnf(i_0_18, plain, (or(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_31, plain, (X1=X1)).
% 0.13/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.37  # Begin printing tableau
% 0.13/0.37  # Found 5 steps
% 0.13/0.37  cnf(i_0_31, plain, (n0=n0), inference(start_rule)).
% 0.13/0.37  cnf(i_0_48, plain, (n0=n0), inference(extension_rule, [i_0_35])).
% 0.13/0.37  cnf(i_0_58, plain, (not(n0)!=n1), inference(closure_rule, [i_0_19])).
% 0.13/0.37  cnf(i_0_56, plain, (and(n0,not(n0))=and(n0,n1)), inference(extension_rule, [i_0_34])).
% 0.13/0.37  cnf(i_0_65, plain, (and(n0,n1)!=n0), inference(closure_rule, [i_0_12])).
% 0.13/0.37  # End printing tableau
% 0.13/0.37  # SZS output end
% 0.13/0.37  # Branches closed with saturation will be marked with an "s"
% 0.13/0.37  # Satisfiable branch found.
% 0.13/0.37  # There were 1 total branch saturation attempts.
% 0.13/0.37  # There were 0 of these attempts blocked.
% 0.13/0.37  # There were 0 deferred branch saturation attempts.
% 0.13/0.37  # There were 0 free duplicated saturations.
% 0.13/0.37  # There were 0 total successful branch saturations.
% 0.13/0.37  # There were 0 successful branch saturations in interreduction.
% 0.13/0.37  # There were 0 successful branch saturations on the branch.
% 0.13/0.37  # There were 0 successful branch saturations after the branch.
% 0.13/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # Begin clausification derivation
% 0.13/0.37  
% 0.13/0.37  # End clausification derivation
% 0.13/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37  cnf(i_0_19, plain, (not(n0)=n1)).
% 0.13/0.37  cnf(i_0_20, plain, (not(n1)=n0)).
% 0.13/0.37  cnf(i_0_11, plain, (and(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_12, plain, (and(n0,n1)=n0)).
% 0.13/0.37  cnf(i_0_13, plain, (and(n1,n0)=n0)).
% 0.13/0.37  cnf(i_0_14, plain, (and(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_15, plain, (or(n0,n0)=n0)).
% 0.13/0.37  cnf(i_0_16, plain, (or(n0,n1)=n1)).
% 0.13/0.37  cnf(i_0_17, plain, (or(n1,n0)=n1)).
% 0.13/0.37  cnf(i_0_18, plain, (or(n1,n1)=n1)).
% 0.13/0.37  cnf(i_0_31, plain, (X1=X1)).
% 0.13/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.37  # Begin printing tableau
% 0.13/0.37  # Found 5 steps
% 0.13/0.37  cnf(i_0_31, plain, (n0=n0), inference(start_rule)).
% 0.13/0.37  cnf(i_0_48, plain, (n0=n0), inference(extension_rule, [i_0_35])).
% 0.13/0.37  cnf(i_0_58, plain, (not(n0)!=n1), inference(closure_rule, [i_0_19])).
% 0.13/0.37  cnf(i_0_56, plain, (and(n0,not(n0))=and(n0,n1)), inference(extension_rule, [i_0_34])).
% 0.13/0.37  cnf(i_0_65, plain, (and(n0,n1)!=n0), inference(closure_rule, [i_0_12])).
% 0.13/0.37  # End printing tableau
% 0.13/0.37  # SZS output end
% 0.13/0.37  # Branches closed with saturation will be marked with an "s"
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # 6526 Satisfiable branch
% 0.13/0.37  # Child (6519) has found a proof.
% 0.13/0.37  
% 0.13/0.37  # Proof search is over...
% 0.13/0.37  # Freeing feature tree
%------------------------------------------------------------------------------