TSTP Solution File: SYN084-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN084-1 : 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 : n014.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 06:08:03 EDT 2022

% Result   : Satisfiable 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN084-1 : 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
% 0.12/0.33  % Computer : n014.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 : Mon Jul 11 13:14:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.36  # No SInE strategy applied
% 0.19/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.19/0.36  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.19/0.36  #
% 0.19/0.36  # Presaturation interreduction done
% 0.19/0.36  # Number of axioms: 13 Number of unprocessed: 6
% 0.19/0.36  # Tableaux proof search.
% 0.19/0.36  # APR header successfully linked.
% 0.19/0.36  # Hello from C++
% 0.19/0.36  # The folding up rule is enabled...
% 0.19/0.36  # Local unification is enabled...
% 0.19/0.36  # Any saturation attempts will use folding labels...
% 0.19/0.36  # 6 beginning clauses after preprocessing and clausification
% 0.19/0.36  # Creating start rules for all 6 conjectures.
% 0.19/0.36  # There are 6 start rule candidates:
% 0.19/0.36  # Found 1 unit axioms.
% 0.19/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.36  # 6 start rule tableaux created.
% 0.19/0.36  # 5 extension rule candidate clauses
% 0.19/0.36  # 1 unit axiom clauses
% 0.19/0.36  
% 0.19/0.36  # Requested 8, 32 cores available to the main process.
% 0.19/0.36  # There are not enough tableaux to fork, creating more from the initial 6
% 0.19/0.36  # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.36  # We now have 14 tableaux to operate on
% 0.19/0.36  # 22069 Satisfiable branch
% 0.19/0.36  # 22067 Satisfiable branch
% 0.19/0.36  # Satisfiable branch found.
% 0.19/0.36  # There were 1 total branch saturation attempts.
% 0.19/0.36  # There were 0 of these attempts blocked.
% 0.19/0.36  # There were 0 deferred branch saturation attempts.
% 0.19/0.36  # There were 0 free duplicated saturations.
% 0.19/0.36  # There were 0 total successful branch saturations.
% 0.19/0.36  # There were 0 successful branch saturations in interreduction.
% 0.19/0.36  # There were 0 successful branch saturations on the branch.
% 0.19/0.36  # There were 0 successful branch saturations after the branch.
% 0.19/0.36  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  # Begin clausification derivation
% 0.19/0.36  
% 0.19/0.36  # End clausification derivation
% 0.19/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.36  cnf(i_0_14, negated_conjecture, (big_p(a))).
% 0.19/0.36  cnf(i_0_26, negated_conjecture, (big_p(f(b))|~big_p(f(X1))|~big_p(b))).
% 0.19/0.36  cnf(i_0_25, negated_conjecture, (big_p(f(b))|big_p(X1)|~big_p(b))).
% 0.19/0.36  cnf(i_0_22, negated_conjecture, (big_p(f(f(X1)))|~big_p(f(X1))|~big_p(f(X2)))).
% 0.19/0.36  cnf(i_0_15, negated_conjecture, (big_p(f(f(X1)))|big_p(X1))).
% 0.19/0.36  cnf(i_0_21, negated_conjecture, (big_p(f(f(X1)))|big_p(X2)|~big_p(f(X1)))).
% 0.19/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.36  # Begin printing tableau
% 0.19/0.36  # Found 11 steps
% 0.19/0.36  cnf(i_0_26, negated_conjecture, (big_p(f(b))|~big_p(f(f(b)))|~big_p(b)), inference(start_rule)).
% 0.19/0.36  cnf(i_0_38, plain, (big_p(f(b))), inference(extension_rule, [i_0_21])).
% 0.19/0.36  cnf(i_0_70, plain, (big_p(f(f(b)))), inference(extension_rule, [i_0_22])).
% 0.19/0.36  cnf(i_0_77, plain, (~big_p(f(f(b)))), inference(closure_rule, [i_0_70])).
% 0.19/0.36  cnf(i_0_75, plain, (big_p(f(f(f(b))))), inference(extension_rule, [i_0_21])).
% 0.19/0.36  cnf(i_0_71, plain, (big_p(f(X3))), inference(extension_rule, [i_0_22])).
% 0.19/0.36  cnf(i_0_99, plain, (~big_p(f(X3))), inference(closure_rule, [i_0_71])).
% 0.19/0.36  cnf(i_0_97, plain, (big_p(f(f(X3)))), inference(extension_rule, [i_0_21])).
% 0.19/0.36  cnf(i_0_39, plain, (~big_p(f(f(b)))), inference(extension_rule, [i_0_15])).
% 0.19/0.36  cnf(i_0_112, plain, (big_p(b)), inference(extension_rule, [i_0_25])).
% 0.19/0.36  cnf(i_0_114, plain, (big_p(f(f(b)))), inference(closure_rule, [i_0_39])).
% 0.19/0.36  # End printing tableau
% 0.19/0.36  # SZS output end
% 0.19/0.36  # Branches closed with saturation will be marked with an "s"
% 0.19/0.36  # Satisfiable branch found.
% 0.19/0.36  # There were 1 total branch saturation attempts.
% 0.19/0.36  # There were 0 of these attempts blocked.
% 0.19/0.36  # There were 0 deferred branch saturation attempts.
% 0.19/0.36  # There were 0 free duplicated saturations.
% 0.19/0.36  # There were 0 total successful branch saturations.
% 0.19/0.36  # There were 0 successful branch saturations in interreduction.
% 0.19/0.36  # There were 0 successful branch saturations on the branch.
% 0.19/0.36  # There were 0 successful branch saturations after the branch.
% 0.19/0.36  # 22071 Satisfiable branch
% 0.19/0.36  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  # Begin clausification derivation
% 0.19/0.36  
% 0.19/0.36  # End clausification derivation
% 0.19/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.36  cnf(i_0_14, negated_conjecture, (big_p(a))).
% 0.19/0.36  cnf(i_0_26, negated_conjecture, (big_p(f(b))|~big_p(f(X1))|~big_p(b))).
% 0.19/0.36  cnf(i_0_25, negated_conjecture, (big_p(f(b))|big_p(X1)|~big_p(b))).
% 0.19/0.36  cnf(i_0_22, negated_conjecture, (big_p(f(f(X1)))|~big_p(f(X1))|~big_p(f(X2)))).
% 0.19/0.36  cnf(i_0_15, negated_conjecture, (big_p(f(f(X1)))|big_p(X1))).
% 0.19/0.36  cnf(i_0_21, negated_conjecture, (big_p(f(f(X1)))|big_p(X2)|~big_p(f(X1)))).
% 0.19/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.36  # Begin printing tableau
% 0.19/0.36  # Found 16 steps
% 0.19/0.36  cnf(i_0_22, negated_conjecture, (big_p(f(f(f(b))))|~big_p(f(f(b)))|~big_p(f(f(b)))), inference(start_rule)).
% 0.19/0.36  cnf(i_0_32, plain, (big_p(f(f(f(b))))), inference(extension_rule, [i_0_21])).
% 0.19/0.36  cnf(i_0_70, plain, (big_p(f(f(f(f(b)))))), inference(extension_rule, [i_0_22])).
% 0.19/0.36  cnf(i_0_77, plain, (~big_p(f(f(f(f(b)))))), inference(closure_rule, [i_0_70])).
% 0.19/0.36  cnf(i_0_75, plain, (big_p(f(f(f(f(f(b))))))), inference(extension_rule, [i_0_26])).
% 0.19/0.36  cnf(i_0_71, plain, (big_p(f(X3))), inference(extension_rule, [i_0_26])).
% 0.19/0.36  cnf(i_0_129, plain, (big_p(f(b))), inference(extension_rule, [i_0_22])).
% 0.19/0.36  cnf(i_0_136, plain, (~big_p(f(b))), inference(closure_rule, [i_0_129])).
% 0.19/0.36  cnf(i_0_131, plain, (~big_p(b)), inference(extension_rule, [i_0_15])).
% 0.19/0.36  cnf(i_0_33, plain, (~big_p(f(f(b)))), inference(extension_rule, [i_0_25])).
% 0.19/0.36  cnf(i_0_141, plain, (~big_p(b)), inference(extension_rule, [i_0_15])).
% 0.19/0.36  cnf(i_0_151, plain, (big_p(f(f(b)))), inference(closure_rule, [i_0_33])).
% 0.19/0.36  cnf(i_0_139, plain, (big_p(f(b))), inference(extension_rule, [i_0_22])).
% 0.19/0.36  cnf(i_0_159, plain, (big_p(f(f(b)))), inference(closure_rule, [i_0_33])).
% 0.19/0.36  cnf(i_0_160, plain, (~big_p(f(b))), inference(closure_rule, [i_0_139])).
% 0.19/0.36  cnf(i_0_34, plain, (~big_p(f(f(b)))), inference(closure_rule, [i_0_33])).
% 0.19/0.36  # End printing tableau
% 0.19/0.36  # SZS output end
% 0.19/0.36  # Branches closed with saturation will be marked with an "s"
% 0.19/0.36  # Satisfiable branch found.
% 0.19/0.36  # There were 1 total branch saturation attempts.
% 0.19/0.36  # There were 0 of these attempts blocked.
% 0.19/0.36  # There were 0 deferred branch saturation attempts.
% 0.19/0.36  # There were 0 free duplicated saturations.
% 0.19/0.36  # There were 0 total successful branch saturations.
% 0.19/0.36  # There were 0 successful branch saturations in interreduction.
% 0.19/0.36  # There were 0 successful branch saturations on the branch.
% 0.19/0.36  # There were 0 successful branch saturations after the branch.
% 0.19/0.37  # Child (22069) has found a proof.
% 0.19/0.37  
% 0.19/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # Begin clausification derivation
% 0.19/0.37  
% 0.19/0.37  # End clausification derivation
% 0.19/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37  cnf(i_0_14, negated_conjecture, (big_p(a))).
% 0.19/0.37  cnf(i_0_26, negated_conjecture, (big_p(f(b))|~big_p(f(X1))|~big_p(b))).
% 0.19/0.37  cnf(i_0_25, negated_conjecture, (big_p(f(b))|big_p(X1)|~big_p(b))).
% 0.19/0.37  cnf(i_0_22, negated_conjecture, (big_p(f(f(X1)))|~big_p(f(X1))|~big_p(f(X2)))).
% 0.19/0.37  cnf(i_0_15, negated_conjecture, (big_p(f(f(X1)))|big_p(X1))).
% 0.19/0.37  cnf(i_0_21, negated_conjecture, (big_p(f(f(X1)))|big_p(X2)|~big_p(f(X1)))).
% 0.19/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.37  # Begin printing tableau
% 0.19/0.37  # Found 16 steps
% 0.19/0.37  cnf(i_0_21, negated_conjecture, (big_p(f(f(f(b))))|big_p(b)|~big_p(f(f(b)))), inference(start_rule)).
% 0.19/0.37  cnf(i_0_28, plain, (big_p(b)), inference(extension_rule, [i_0_26])).
% 0.19/0.37  cnf(i_0_67, plain, (big_p(f(b))), inference(extension_rule, [i_0_21])).
% 0.19/0.37  cnf(i_0_70, plain, (big_p(f(f(b)))), inference(extension_rule, [i_0_22])).
% 0.19/0.37  cnf(i_0_77, plain, (~big_p(f(f(b)))), inference(closure_rule, [i_0_70])).
% 0.19/0.37  cnf(i_0_71, plain, (big_p(f(X4))), inference(extension_rule, [i_0_21])).
% 0.19/0.37  cnf(i_0_68, plain, (~big_p(f(f(f(f(X7)))))), inference(extension_rule, [i_0_15])).
% 0.19/0.37  cnf(i_0_90, plain, (big_p(f(f(X7)))), inference(closure_rule, [i_0_68])).
% 0.19/0.37  cnf(i_0_27, plain, (big_p(f(f(f(b))))), inference(extension_rule, [i_0_22])).
% 0.19/0.37  cnf(i_0_99, plain, (~big_p(f(f(f(b))))), inference(closure_rule, [i_0_27])).
% 0.19/0.37  cnf(i_0_97, plain, (big_p(f(f(f(f(b)))))), inference(extension_rule, [i_0_26])).
% 0.19/0.37  cnf(i_0_103, plain, (big_p(f(b))), inference(extension_rule, [i_0_21])).
% 0.19/0.37  cnf(i_0_105, plain, (~big_p(b)), inference(extension_rule, [i_0_15])).
% 0.19/0.37  cnf(i_0_29, plain, (~big_p(f(f(b)))), inference(extension_rule, [i_0_22])).
% 0.19/0.37  cnf(i_0_121, plain, (~big_p(f(b))), inference(extension_rule, [i_0_25])).
% 0.19/0.37  cnf(i_0_124, plain, (big_p(f(b))), inference(closure_rule, [i_0_121])).
% 0.19/0.37  # End printing tableau
% 0.19/0.37  # SZS output end
% 0.19/0.37  # Branches closed with saturation will be marked with an "s"
% 0.19/0.37  # Proof search is over...
% 0.19/0.37  # Freeing feature tree
%------------------------------------------------------------------------------