TSTP Solution File: SYN077-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n023.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 : Thu Jul 21 06:07:57 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 23:05:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  # No SInE strategy applied
% 0.13/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S032N
% 0.13/0.36  # and selection function SelectUnlessUniqMax.
% 0.13/0.36  #
% 0.13/0.36  # Presaturation interreduction done
% 0.13/0.36  # Number of axioms: 7 Number of unprocessed: 7
% 0.13/0.36  # Tableaux proof search.
% 0.13/0.36  # APR header successfully linked.
% 0.13/0.36  # Hello from C++
% 0.13/0.36  # The folding up rule is enabled...
% 0.13/0.36  # Local unification is enabled...
% 0.13/0.36  # Any saturation attempts will use folding labels...
% 0.13/0.36  # 7 beginning clauses after preprocessing and clausification
% 0.13/0.36  # Creating start rules for all 5 conjectures.
% 0.13/0.36  # There are 5 start rule candidates:
% 0.13/0.36  # Found 1 unit axioms.
% 0.13/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.36  # 5 start rule tableaux created.
% 0.13/0.36  # 6 extension rule candidate clauses
% 0.13/0.36  # 1 unit axiom clauses
% 0.13/0.36  
% 0.13/0.36  # Requested 8, 32 cores available to the main process.
% 0.13/0.36  # There are not enough tableaux to fork, creating more from the initial 5
% 0.13/0.36  # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.36  # We now have 12 tableaux to operate on
% 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  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 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  # 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 1 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 1 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  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox/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_9, plain, (big_f(X1,f(X1)))).
% 0.13/0.37  cnf(i_0_12, negated_conjecture, (big_f(X1,h(X1))|big_f(X1,a))).
% 0.13/0.37  cnf(i_0_8, plain, (X1=X2|~big_f(X1,f(X2)))).
% 0.13/0.37  cnf(i_0_11, negated_conjecture, (~big_f(X1,g(X2,X3))|~big_f(X2,a)|~big_f(X1,X3)|~big_f(X2,X3))).
% 0.13/0.37  cnf(i_0_10, negated_conjecture, (big_f(g(X1,X2),X2)|~big_f(X1,a)|~big_f(X1,X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(i(X1,X2),X2)|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(i(X1,X2),h(X1))|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_99, plain, (X4=X4)).
% 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 6 steps
% 0.13/0.37  cnf(i_0_99, plain, (X10=X10), inference(start_rule)).
% 0.13/0.37  cnf(i_0_126, plain, (X10=X10), inference(extension_rule, [i_0_103])).
% 0.13/0.37  cnf(i_0_151, plain, (f(X10)=f(X10)), inference(extension_rule, [i_0_104])).
% 0.13/0.37  cnf(i_0_342, plain, ($false), inference(closure_rule, [i_0_99])).
% 0.13/0.37  cnf(i_0_343, plain, (~big_f(f(X10),f(f(X10)))), inference(closure_rule, [i_0_9])).
% 0.13/0.37  cnf(i_0_340, plain, (big_f(f(X10),f(f(X10)))), inference(etableau_closure_rule, [i_0_340, ...])).
% 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  # 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 1 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 1 successful branch saturations after the branch.
% 0.13/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox/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_9, plain, (big_f(X1,f(X1)))).
% 0.13/0.37  cnf(i_0_12, negated_conjecture, (big_f(X1,h(X1))|big_f(X1,a))).
% 0.13/0.37  cnf(i_0_8, plain, (X1=X2|~big_f(X1,f(X2)))).
% 0.13/0.37  cnf(i_0_11, negated_conjecture, (~big_f(X1,g(X2,X3))|~big_f(X2,a)|~big_f(X1,X3)|~big_f(X2,X3))).
% 0.13/0.37  cnf(i_0_10, negated_conjecture, (big_f(g(X1,X2),X2)|~big_f(X1,a)|~big_f(X1,X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(i(X1,X2),X2)|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(i(X1,X2),h(X1))|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_82, plain, (X4=X4)).
% 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 6 steps
% 0.13/0.37  cnf(i_0_82, plain, (X10=X10), inference(start_rule)).
% 0.13/0.37  cnf(i_0_109, plain, (X10=X10), inference(extension_rule, [i_0_86])).
% 0.13/0.37  cnf(i_0_134, plain, (f(X10)=f(X10)), inference(extension_rule, [i_0_87])).
% 0.13/0.37  cnf(i_0_325, plain, ($false), inference(closure_rule, [i_0_82])).
% 0.13/0.37  cnf(i_0_326, plain, (~big_f(f(X10),f(f(X10)))), inference(closure_rule, [i_0_9])).
% 0.13/0.37  cnf(i_0_323, plain, (big_f(f(X10),f(f(X10)))), inference(etableau_closure_rule, [i_0_323, ...])).
% 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  # 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 1 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 1 successful branch saturations after the branch.
% 0.13/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox/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_9, plain, (big_f(X1,f(X1)))).
% 0.13/0.37  cnf(i_0_12, negated_conjecture, (big_f(X1,h(X1))|big_f(X1,a))).
% 0.13/0.37  cnf(i_0_8, plain, (X1=X2|~big_f(X1,f(X2)))).
% 0.13/0.37  cnf(i_0_11, negated_conjecture, (~big_f(X1,g(X2,X3))|~big_f(X2,a)|~big_f(X1,X3)|~big_f(X2,X3))).
% 0.13/0.37  cnf(i_0_10, negated_conjecture, (big_f(g(X1,X2),X2)|~big_f(X1,a)|~big_f(X1,X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(i(X1,X2),X2)|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(i(X1,X2),h(X1))|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_82, plain, (X4=X4)).
% 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 6 steps
% 0.13/0.37  cnf(i_0_82, plain, (X10=X10), inference(start_rule)).
% 0.13/0.37  cnf(i_0_109, plain, (X10=X10), inference(extension_rule, [i_0_86])).
% 0.13/0.37  cnf(i_0_134, plain, (f(X10)=f(X10)), inference(extension_rule, [i_0_87])).
% 0.13/0.37  cnf(i_0_325, plain, ($false), inference(closure_rule, [i_0_82])).
% 0.13/0.37  cnf(i_0_326, plain, (~big_f(f(X10),f(f(X10)))), inference(closure_rule, [i_0_9])).
% 0.13/0.37  cnf(i_0_323, plain, (big_f(f(X10),f(f(X10)))), inference(etableau_closure_rule, [i_0_323, ...])).
% 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  # 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 1 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 1 successful branch saturations after the branch.
% 0.13/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  # SZS output start for /export/starexec/sandbox/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_9, plain, (big_f(X1,f(X1)))).
% 0.13/0.37  cnf(i_0_12, negated_conjecture, (big_f(X1,h(X1))|big_f(X1,a))).
% 0.13/0.37  cnf(i_0_8, plain, (X1=X2|~big_f(X1,f(X2)))).
% 0.13/0.37  cnf(i_0_11, negated_conjecture, (~big_f(X1,g(X2,X3))|~big_f(X2,a)|~big_f(X1,X3)|~big_f(X2,X3))).
% 0.13/0.37  cnf(i_0_10, negated_conjecture, (big_f(g(X1,X2),X2)|~big_f(X1,a)|~big_f(X1,X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(i(X1,X2),X2)|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(i(X1,X2),h(X1))|big_f(X1,a)|~big_f(X2,h(X1)))).
% 0.13/0.37  cnf(i_0_82, plain, (X4=X4)).
% 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 6 steps
% 0.13/0.37  cnf(i_0_82, plain, (X10=X10), inference(start_rule)).
% 0.13/0.37  cnf(i_0_109, plain, (X10=X10), inference(extension_rule, [i_0_86])).
% 0.13/0.37  cnf(i_0_134, plain, (f(X10)=f(X10)), inference(extension_rule, [i_0_87])).
% 0.13/0.37  cnf(i_0_325, plain, ($false), inference(closure_rule, [i_0_82])).
% 0.13/0.37  cnf(i_0_326, plain, (~big_f(f(X10),f(f(X10)))), inference(closure_rule, [i_0_9])).
% 0.13/0.37  cnf(i_0_323, plain, (big_f(f(X10),f(f(X10)))), inference(etableau_closure_rule, [i_0_323, ...])).
% 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"
% 0.20/0.37  # Child (23445) has found a proof.
% 0.20/0.37  
% 0.20/0.37  # Proof search is over...
% 0.20/0.37  # Freeing feature tree
%------------------------------------------------------------------------------