TSTP Solution File: SYN353-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n021.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 06:10:15 EDT 2022

% Result   : Unsatisfiable 9.55s 1.55s
% Output   : CNFRefutation 9.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.10  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.10/0.31  % Computer : n021.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Tue Jul 12 02:07:23 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.16/0.33  # No SInE strategy applied
% 0.16/0.33  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.33  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.16/0.33  #
% 0.16/0.33  # Presaturation interreduction done
% 0.16/0.33  # Number of axioms: 17 Number of unprocessed: 17
% 0.16/0.33  # Tableaux proof search.
% 0.16/0.33  # APR header successfully linked.
% 0.16/0.33  # Hello from C++
% 0.16/0.34  # The folding up rule is enabled...
% 0.16/0.34  # Local unification is enabled...
% 0.16/0.34  # Any saturation attempts will use folding labels...
% 0.16/0.34  # 17 beginning clauses after preprocessing and clausification
% 0.16/0.34  # Creating start rules for all 17 conjectures.
% 0.16/0.34  # There are 17 start rule candidates:
% 0.16/0.34  # Found 0 unit axioms.
% 0.16/0.34  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.16/0.34  # 17 start rule tableaux created.
% 0.16/0.34  # 17 extension rule candidate clauses
% 0.16/0.34  # 0 unit axiom clauses
% 0.16/0.34  
% 0.16/0.34  # Requested 8, 32 cores available to the main process.
% 9.55/1.55  # There were 6 total branch saturation attempts.
% 9.55/1.55  # There were 0 of these attempts blocked.
% 9.55/1.55  # There were 0 deferred branch saturation attempts.
% 9.55/1.55  # There were 1 free duplicated saturations.
% 9.55/1.55  # There were 6 total successful branch saturations.
% 9.55/1.55  # There were 0 successful branch saturations in interreduction.
% 9.55/1.55  # There were 0 successful branch saturations on the branch.
% 9.55/1.55  # There were 5 successful branch saturations after the branch.
% 9.55/1.55  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/1.55  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/1.55  # Begin clausification derivation
% 9.55/1.55  
% 9.55/1.55  # End clausification derivation
% 9.55/1.55  # Begin listing active clauses obtained from FOF to CNF conversion
% 9.55/1.55  cnf(i_0_21, negated_conjecture, (f(X1,X2,z(X2,X1,X3))|f(X3,X2,X1))).
% 9.55/1.55  cnf(i_0_30, negated_conjecture, (f(z(X1,X2,X3),X2,X1)|~f(X1,X2,X3))).
% 9.55/1.55  cnf(i_0_20, negated_conjecture, (f(X1,X2,X3)|~f(X1,X3,z(X3,X1,X2))|~f(X2,X3,X1))).
% 9.55/1.55  cnf(i_0_19, negated_conjecture, (f(X1,X2,X3)|~f(X2,X1,z(X1,X2,X3))|~f(X3,X1,X2))).
% 9.55/1.55  cnf(i_0_23, negated_conjecture, (f(X1,X2,X3)|~f(X1,z(X1,X2,X3),X2)|~f(X2,X3,X1))).
% 9.55/1.55  cnf(i_0_25, negated_conjecture, (f(X1,z(X1,X2,X3),X2)|f(X2,X3,X1))).
% 9.55/1.55  cnf(i_0_22, negated_conjecture, (f(X1,X2,z(X2,X1,X3))|~f(X1,X3,X2)|~f(X2,X1,X3))).
% 9.55/1.55  cnf(i_0_24, negated_conjecture, (f(X1,X2,X3)|~f(X2,z(X2,X3,X1),X3)|~f(X3,X1,X2))).
% 9.55/1.55  cnf(i_0_28, negated_conjecture, (f(X1,X2,X3)|f(X3,X1,X2)|~f(z(X3,X1,X2),X1,X3))).
% 9.55/1.55  cnf(i_0_27, negated_conjecture, (f(X1,X2,X3)|f(X2,X3,X1)|~f(z(X2,X3,X1),X3,X2))).
% 9.55/1.55  cnf(i_0_26, negated_conjecture, (f(X1,z(X1,X2,X3),X2)|~f(X3,X1,X2)|~f(X1,X2,X3))).
% 9.55/1.55  cnf(i_0_29, negated_conjecture, (f(z(X1,X2,X3),X2,X1)|~f(X2,X3,X1)|~f(X3,X1,X2))).
% 9.55/1.55  cnf(i_0_18, negated_conjecture, (f(X1,X2,X3)|f(X2,X3,X1)|~f(a,a,z(X3,X1,X2))|~f(X3,X1,X2))).
% 9.55/1.55  cnf(i_0_34, negated_conjecture, (~f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3))|~f(X3,X1,X2)|~f(X2,X3,X1)|~f(X1,X2,X3))).
% 9.55/1.55  cnf(i_0_32, negated_conjecture, (f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3))|f(X2,X3,X1))).
% 9.55/1.55  cnf(i_0_33, negated_conjecture, (f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3))|f(X3,X1,X2))).
% 9.55/1.55  cnf(i_0_31, negated_conjecture, (f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3))|f(X1,X2,X3))).
% 9.55/1.55  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 9.55/1.55  # Begin printing tableau
% 9.55/1.55  # Found 19 steps
% 9.55/1.55  cnf(i_0_33, negated_conjecture, (f(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))|f(z(a,a,z(a,a,a)),a,a)), inference(start_rule)).
% 9.55/1.55  cnf(i_0_37, plain, (f(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))), inference(extension_rule, [i_0_34])).
% 9.55/1.55  cnf(i_0_90, plain, (~f(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))), inference(closure_rule, [i_0_37])).
% 9.55/1.55  cnf(i_0_91, plain, (~f(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))), inference(closure_rule, [i_0_37])).
% 9.55/1.55  cnf(i_0_88, plain, (~f(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))))), inference(extension_rule, [i_0_31])).
% 9.55/1.55  cnf(i_0_92, plain, (f(z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))))), inference(extension_rule, [i_0_29])).
% 9.55/1.55  cnf(i_0_104, plain, (~f(z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))))), inference(closure_rule, [i_0_92])).
% 9.55/1.55  cnf(i_0_38, plain, (f(z(a,a,z(a,a,a)),a,a)), inference(extension_rule, [i_0_28])).
% 9.55/1.55  cnf(i_0_44757, plain, (f(a,z(a,a,a),a)), inference(extension_rule, [i_0_23])).
% 9.55/1.55  cnf(i_0_64735, plain, (f(a,a,a)), inference(extension_rule, [i_0_29])).
% 9.55/1.55  cnf(i_0_64739, plain, (~f(a,a,a)), inference(closure_rule, [i_0_64735])).
% 9.55/1.55  cnf(i_0_64737, plain, (~f(a,a,a)), inference(extension_rule, [i_0_21])).
% 9.55/1.55  cnf(i_0_44758, plain, (f(a,a,z(a,a,a))), inference(extension_rule, [i_0_18])).
% 9.55/1.55  cnf(i_0_102, plain, (f(z(z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))),z(z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a)))),z(z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))),z(a,a,z(a,a,z(a,a,a))))))), inference(etableau_closure_rule, [i_0_102, ...])).
% 9.55/1.55  cnf(i_0_64738, plain, (f(z(a,a,a),a,a)), inference(etableau_closure_rule, [i_0_64738, ...])).
% 9.55/1.55  cnf(i_0_65473, plain, (f(a,a,z(a,a,a))), inference(etableau_closure_rule, [i_0_65473, ...])).
% 9.55/1.55  cnf(i_0_65481, plain, (f(a,a,a)), inference(etableau_closure_rule, [i_0_65481, ...])).
% 9.55/1.55  cnf(i_0_65482, plain, (f(a,a,a)), inference(etableau_closure_rule, [i_0_65482, ...])).
% 9.55/1.55  cnf(i_0_65484, plain, (~f(a,a,a)), inference(etableau_closure_rule, [i_0_65484, ...])).
% 9.55/1.55  # End printing tableau
% 9.55/1.55  # SZS output end
% 9.55/1.55  # Branches closed with saturation will be marked with an "s"
% 9.55/1.55  # Child (27991) has found a proof.
% 9.55/1.55  
% 9.55/1.55  # Proof search is over...
% 9.55/1.55  # Freeing feature tree
%------------------------------------------------------------------------------