TSTP Solution File: SYN078-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN078-1 : 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 : n006.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 06:07:58 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
% 0.11/0.12  % Problem  : SYN078-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % 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 : n006.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 : Tue Jul 12 08:59:05 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: 12 Number of unprocessed: 12
% 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  # 12 beginning clauses after preprocessing and clausification
% 0.13/0.37  # Creating start rules for all 12 conjectures.
% 0.13/0.37  # There are 12 start rule candidates:
% 0.13/0.37  # Found 0 unit axioms.
% 0.13/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37  # 12 start rule tableaux created.
% 0.13/0.37  # 12 extension rule candidate clauses
% 0.13/0.37  # 0 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.37  # 31992 Satisfiable branch
% 0.13/0.37  # 31997 Satisfiable branch
% 0.13/0.37  # 31998 Satisfiable branch
% 0.13/0.37  # 31996 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, negated_conjecture, (f(b)=b|big_f(c))).
% 0.13/0.37  cnf(i_0_24, negated_conjecture, (~big_f(f(c))|~big_f(b))).
% 0.13/0.37  cnf(i_0_20, negated_conjecture, (big_f(c)|~big_f(b))).
% 0.13/0.37  cnf(i_0_23, negated_conjecture, (f(b)=b|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_22, negated_conjecture, (big_f(a)|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_18, negated_conjecture, (big_f(c)|big_f(a))).
% 0.13/0.37  cnf(i_0_17, negated_conjecture, (big_f(f(X1))|big_f(c)|~big_f(X1))).
% 0.13/0.37  cnf(i_0_16, negated_conjecture, (big_f(X1)|f(X1)!=X1|~big_f(b)|~big_f(X2))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(a)|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_21, negated_conjecture, (big_f(f(X1))|~big_f(f(c))|~big_f(X1))).
% 0.13/0.37  cnf(i_0_15, negated_conjecture, (f(b)=b|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(f(X1))|big_f(X2)|f(X2)!=X2|~big_f(X1)|~big_f(X3))).
% 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 10 steps
% 0.13/0.37  cnf(i_0_21, negated_conjecture, (big_f(f(c))|~big_f(f(c))|~big_f(c)), inference(start_rule)).
% 0.13/0.37  cnf(i_0_34, plain, (big_f(f(c))), inference(extension_rule, [i_0_13])).
% 0.13/0.37  cnf(i_0_64, plain, (~big_f(f(c))), inference(closure_rule, [i_0_34])).
% 0.13/0.37  cnf(i_0_60, plain, (big_f(f(f(c)))), inference(extension_rule, [i_0_15])).
% 0.13/0.37  cnf(i_0_65, plain, (f(b)=b), inference(extension_rule, [i_0_14])).
% 0.13/0.37  cnf(i_0_75, plain, (~big_f(f(f(c)))), inference(closure_rule, [i_0_60])).
% 0.13/0.37  cnf(i_0_66, plain, (big_f(b)), inference(extension_rule, [i_0_16])).
% 0.13/0.37  cnf(i_0_82, plain, (~big_f(b)), inference(closure_rule, [i_0_66])).
% 0.13/0.37  cnf(i_0_67, plain, (f(b)!=b), inference(extension_rule, [i_0_23])).
% 0.13/0.37  cnf(i_0_94, plain, (~big_f(f(c))), inference(closure_rule, [i_0_34])).
% 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, negated_conjecture, (f(b)=b|big_f(c))).
% 0.13/0.37  cnf(i_0_24, negated_conjecture, (~big_f(f(c))|~big_f(b))).
% 0.13/0.37  cnf(i_0_20, negated_conjecture, (big_f(c)|~big_f(b))).
% 0.13/0.37  cnf(i_0_23, negated_conjecture, (f(b)=b|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_22, negated_conjecture, (big_f(a)|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_18, negated_conjecture, (big_f(c)|big_f(a))).
% 0.13/0.37  cnf(i_0_17, negated_conjecture, (big_f(f(X1))|big_f(c)|~big_f(X1))).
% 0.13/0.37  cnf(i_0_16, negated_conjecture, (big_f(X1)|f(X1)!=X1|~big_f(b)|~big_f(X2))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(a)|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_21, negated_conjecture, (big_f(f(X1))|~big_f(f(c))|~big_f(X1))).
% 0.13/0.37  cnf(i_0_15, negated_conjecture, (f(b)=b|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(f(X1))|big_f(X2)|f(X2)!=X2|~big_f(X1)|~big_f(X3))).
% 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 4 steps
% 0.13/0.37  cnf(i_0_18, negated_conjecture, (big_f(c)|big_f(a)), inference(start_rule)).
% 0.13/0.37  cnf(i_0_48, plain, (big_f(c)), inference(extension_rule, [i_0_13])).
% 0.13/0.37  cnf(i_0_64, plain, (~big_f(c)), inference(closure_rule, [i_0_48])).
% 0.13/0.37  cnf(i_0_60, plain, (big_f(f(c))), inference(extension_rule, [i_0_15])).
% 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  # 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, negated_conjecture, (f(b)=b|big_f(c))).
% 0.13/0.37  cnf(i_0_24, negated_conjecture, (~big_f(f(c))|~big_f(b))).
% 0.13/0.37  cnf(i_0_20, negated_conjecture, (big_f(c)|~big_f(b))).
% 0.13/0.37  cnf(i_0_23, negated_conjecture, (f(b)=b|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_22, negated_conjecture, (big_f(a)|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_18, negated_conjecture, (big_f(c)|big_f(a))).
% 0.13/0.37  cnf(i_0_17, negated_conjecture, (big_f(f(X1))|big_f(c)|~big_f(X1))).
% 0.13/0.37  cnf(i_0_16, negated_conjecture, (big_f(X1)|f(X1)!=X1|~big_f(b)|~big_f(X2))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(a)|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_21, negated_conjecture, (big_f(f(X1))|~big_f(f(c))|~big_f(X1))).
% 0.13/0.37  cnf(i_0_15, negated_conjecture, (f(b)=b|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(f(X1))|big_f(X2)|f(X2)!=X2|~big_f(X1)|~big_f(X3))).
% 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 10 steps
% 0.13/0.37  cnf(i_0_17, negated_conjecture, (big_f(f(c))|big_f(c)|~big_f(c)), inference(start_rule)).
% 0.13/0.37  cnf(i_0_45, plain, (big_f(f(c))), inference(extension_rule, [i_0_13])).
% 0.13/0.37  cnf(i_0_64, plain, (~big_f(f(c))), inference(closure_rule, [i_0_45])).
% 0.13/0.37  cnf(i_0_60, plain, (big_f(f(f(c)))), inference(extension_rule, [i_0_15])).
% 0.13/0.37  cnf(i_0_65, plain, (f(b)=b), inference(extension_rule, [i_0_14])).
% 0.13/0.37  cnf(i_0_75, plain, (~big_f(f(f(c)))), inference(closure_rule, [i_0_60])).
% 0.13/0.37  cnf(i_0_66, plain, (big_f(b)), inference(extension_rule, [i_0_16])).
% 0.13/0.37  cnf(i_0_82, plain, (~big_f(b)), inference(closure_rule, [i_0_66])).
% 0.13/0.37  cnf(i_0_67, plain, (f(b)!=b), inference(extension_rule, [i_0_23])).
% 0.13/0.37  cnf(i_0_94, plain, (~big_f(f(c))), inference(closure_rule, [i_0_45])).
% 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, negated_conjecture, (f(b)=b|big_f(c))).
% 0.13/0.37  cnf(i_0_24, negated_conjecture, (~big_f(f(c))|~big_f(b))).
% 0.13/0.37  cnf(i_0_20, negated_conjecture, (big_f(c)|~big_f(b))).
% 0.13/0.37  cnf(i_0_23, negated_conjecture, (f(b)=b|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_22, negated_conjecture, (big_f(a)|~big_f(f(c)))).
% 0.13/0.37  cnf(i_0_18, negated_conjecture, (big_f(c)|big_f(a))).
% 0.13/0.37  cnf(i_0_17, negated_conjecture, (big_f(f(X1))|big_f(c)|~big_f(X1))).
% 0.13/0.37  cnf(i_0_16, negated_conjecture, (big_f(X1)|f(X1)!=X1|~big_f(b)|~big_f(X2))).
% 0.13/0.37  cnf(i_0_14, negated_conjecture, (big_f(a)|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_21, negated_conjecture, (big_f(f(X1))|~big_f(f(c))|~big_f(X1))).
% 0.13/0.37  cnf(i_0_15, negated_conjecture, (f(b)=b|big_f(X1)|f(X1)!=X1|~big_f(X2))).
% 0.13/0.37  cnf(i_0_13, negated_conjecture, (big_f(f(X1))|big_f(X2)|f(X2)!=X2|~big_f(X1)|~big_f(X3))).
% 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 4 steps
% 0.13/0.37  cnf(i_0_22, negated_conjecture, (big_f(a)|~big_f(f(c))), inference(start_rule)).
% 0.13/0.37  cnf(i_0_50, plain, (big_f(a)), inference(extension_rule, [i_0_13])).
% 0.13/0.37  cnf(i_0_64, plain, (~big_f(a)), inference(closure_rule, [i_0_50])).
% 0.13/0.37  cnf(i_0_60, plain, (big_f(f(a))), inference(extension_rule, [i_0_15])).
% 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  # Child (31997) has found a proof.
% 0.13/0.37  
% 0.13/0.37  # Proof search is over...
% 0.13/0.37  # Freeing feature tree
%------------------------------------------------------------------------------