TSTP Solution File: SYN319-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN319-1 : 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 : n025.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 06:09:49 EDT 2022

% Result   : Unsatisfiable 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n025.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 15:45:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 7 Number of unprocessed: 7
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.36  # The folding up rule is enabled...
% 0.12/0.36  # Local unification is enabled...
% 0.12/0.36  # Any saturation attempts will use folding labels...
% 0.12/0.36  # 7 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 7 conjectures.
% 0.12/0.36  # There are 7 start rule candidates:
% 0.12/0.36  # Found 1 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 7 start rule tableaux created.
% 0.12/0.36  # 6 extension rule candidate clauses
% 0.12/0.36  # 1 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 0.12/0.36  # There are not enough tableaux to fork, creating more from the initial 7
% 0.12/0.36  # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 13 tableaux to operate on
% 0.18/0.36  # There were 1 total branch saturation attempts.
% 0.18/0.36  # There were 0 of these attempts blocked.
% 0.18/0.36  # There were 0 deferred branch saturation attempts.
% 0.18/0.36  # There were 0 free duplicated saturations.
% 0.18/0.36  # There were 1 total successful branch saturations.
% 0.18/0.36  # There were 1 successful branch saturations in interreduction.
% 0.18/0.36  # There were 0 successful branch saturations on the branch.
% 0.18/0.36  # There were 0 successful branch saturations after the branch.
% 0.18/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # Begin clausification derivation
% 0.18/0.36  
% 0.18/0.36  # End clausification derivation
% 0.18/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X1,X2)))).
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(X1)|~f(X1))).
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(X1)|~g(X1))).
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(X1)|~g(z1(X1,y)))).
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X1,y))|~f(z1(X1,X2)))).
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(X1)|f(X2))).
% 0.18/0.36  cnf(i_0_9, negated_conjecture, (f(X1)|~f(z1(X2,X1)))).
% 0.18/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.36  # Begin printing tableau
% 0.18/0.36  # Found 5 steps
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(z2(X7,X6))|~g(z2(X7,X6))), inference(start_rule)).
% 0.18/0.36  cnf(i_0_23, plain, (h(z2(X7,X6))), inference(closure_rule, [i_0_14])).
% 0.18/0.36  cnf(i_0_24, plain, (~g(z2(X7,X6))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_67, plain, (f(z1(X4,X3))), inference(extension_rule, [i_0_9])).
% 0.18/0.36  cnf(i_0_68, plain, (f(X3)), inference(etableau_closure_rule, [i_0_68, ...])).
% 0.18/0.36  # End printing tableau
% 0.18/0.36  # SZS output end
% 0.18/0.36  # Branches closed with saturation will be marked with an "s"
% 0.18/0.36  # There were 1 total branch saturation attempts.
% 0.18/0.36  # There were 0 of these attempts blocked.
% 0.18/0.36  # There were 0 deferred branch saturation attempts.
% 0.18/0.36  # There were 0 free duplicated saturations.
% 0.18/0.36  # There were 1 total successful branch saturations.
% 0.18/0.36  # There were 1 successful branch saturations in interreduction.
% 0.18/0.36  # There were 0 successful branch saturations on the branch.
% 0.18/0.36  # There were 0 successful branch saturations after the branch.
% 0.18/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # Begin clausification derivation
% 0.18/0.36  
% 0.18/0.36  # End clausification derivation
% 0.18/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X1,X2)))).
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(X1)|~f(X1))).
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(X1)|~g(X1))).
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(X1)|~g(z1(X1,y)))).
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X1,y))|~f(z1(X1,X2)))).
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(X1)|f(X2))).
% 0.18/0.36  cnf(i_0_9, negated_conjecture, (f(X1)|~f(z1(X2,X1)))).
% 0.18/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.36  # Begin printing tableau
% 0.18/0.36  # Found 5 steps
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(z2(X11,X12))|~f(z2(X11,X12))), inference(start_rule)).
% 0.18/0.36  cnf(i_0_25, plain, (h(z2(X11,X12))), inference(closure_rule, [i_0_14])).
% 0.18/0.36  cnf(i_0_26, plain, (~f(z2(X11,X12))), inference(extension_rule, [i_0_9])).
% 0.18/0.36  cnf(i_0_65, plain, (~f(z1(X13,z2(X11,X12)))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_66, plain, (g(X3)), inference(etableau_closure_rule, [i_0_66, ...])).
% 0.18/0.36  # End printing tableau
% 0.18/0.36  # SZS output end
% 0.18/0.36  # Branches closed with saturation will be marked with an "s"
% 0.18/0.36  # There were 1 total branch saturation attempts.
% 0.18/0.36  # There were 0 of these attempts blocked.
% 0.18/0.36  # There were 0 deferred branch saturation attempts.
% 0.18/0.36  # There were 0 free duplicated saturations.
% 0.18/0.36  # There were 1 total successful branch saturations.
% 0.18/0.36  # There were 1 successful branch saturations in interreduction.
% 0.18/0.36  # There were 0 successful branch saturations on the branch.
% 0.18/0.36  # There were 0 successful branch saturations after the branch.
% 0.18/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # Begin clausification derivation
% 0.18/0.36  
% 0.18/0.36  # End clausification derivation
% 0.18/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X1,X2)))).
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(X1)|~f(X1))).
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(X1)|~g(X1))).
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(X1)|~g(z1(X1,y)))).
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X1,y))|~f(z1(X1,X2)))).
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(X1)|f(X2))).
% 0.18/0.36  cnf(i_0_9, negated_conjecture, (f(X1)|~f(z1(X2,X1)))).
% 0.18/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.36  # Begin printing tableau
% 0.18/0.36  # Found 8 steps
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X8,y))|~f(z1(X8,X7))), inference(start_rule)).
% 0.18/0.36  cnf(i_0_19, plain, (~g(z1(X8,y))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_67, plain, (f(z1(X5,z2(z1(X2,y),X6)))), inference(extension_rule, [i_0_9])).
% 0.18/0.36  cnf(i_0_68, plain, (f(z2(z1(X2,y),X6))), inference(extension_rule, [i_0_12])).
% 0.18/0.36  cnf(i_0_76, plain, (h(z2(z1(X2,y),X6))), inference(closure_rule, [i_0_14])).
% 0.18/0.36  cnf(i_0_20, plain, (~f(z1(X8,X7))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_84, plain, (g(z1(X2,y))), inference(extension_rule, [i_0_10])).
% 0.18/0.36  cnf(i_0_88, plain, (g(X2)), inference(etableau_closure_rule, [i_0_88, ...])).
% 0.18/0.36  # End printing tableau
% 0.18/0.36  # SZS output end
% 0.18/0.36  # Branches closed with saturation will be marked with an "s"
% 0.18/0.36  # There were 1 total branch saturation attempts.
% 0.18/0.36  # There were 0 of these attempts blocked.
% 0.18/0.36  # There were 0 deferred branch saturation attempts.
% 0.18/0.36  # There were 0 free duplicated saturations.
% 0.18/0.36  # There were 1 total successful branch saturations.
% 0.18/0.36  # There were 1 successful branch saturations in interreduction.
% 0.18/0.36  # There were 0 successful branch saturations on the branch.
% 0.18/0.36  # There were 0 successful branch saturations after the branch.
% 0.18/0.36  # There were 1 total branch saturation attempts.
% 0.18/0.36  # There were 0 of these attempts blocked.
% 0.18/0.36  # There were 0 deferred branch saturation attempts.
% 0.18/0.36  # There were 0 free duplicated saturations.
% 0.18/0.36  # There were 1 total successful branch saturations.
% 0.18/0.36  # There were 1 successful branch saturations in interreduction.
% 0.18/0.36  # There were 0 successful branch saturations on the branch.
% 0.18/0.36  # There were 0 successful branch saturations after the branch.
% 0.18/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # Begin clausification derivation
% 0.18/0.36  
% 0.18/0.36  # End clausification derivation
% 0.18/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X1,X2)))).
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(X1)|~f(X1))).
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(X1)|~g(X1))).
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(X1)|~g(z1(X1,y)))).
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X1,y))|~f(z1(X1,X2)))).
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(X1)|f(X2))).
% 0.18/0.36  cnf(i_0_9, negated_conjecture, (f(X1)|~f(z1(X2,X1)))).
% 0.18/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.36  # Begin printing tableau
% 0.18/0.36  # Found 4 steps
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X8,X7))), inference(start_rule)).
% 0.18/0.36  cnf(i_0_27, plain, (~h(z2(X8,X7))), inference(extension_rule, [i_0_13])).
% 0.18/0.36  cnf(i_0_73, plain, (~g(z2(X8,X7))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_77, plain, (f(X6)), inference(etableau_closure_rule, [i_0_77, ...])).
% 0.18/0.36  # End printing tableau
% 0.18/0.36  # SZS output end
% 0.18/0.36  # Branches closed with saturation will be marked with an "s"
% 0.18/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # Begin clausification derivation
% 0.18/0.36  
% 0.18/0.36  # End clausification derivation
% 0.18/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X1,X2)))).
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(X1)|~f(X1))).
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(X1)|~g(X1))).
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(X1)|~g(z1(X1,y)))).
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X1,y))|~f(z1(X1,X2)))).
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(X1)|f(X2))).
% 0.18/0.36  cnf(i_0_9, negated_conjecture, (f(X1)|~f(z1(X2,X1)))).
% 0.18/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.36  # Begin printing tableau
% 0.18/0.36  # Found 9 steps
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(z1(X3,y))|~g(z1(z1(X3,y),y))), inference(start_rule)).
% 0.18/0.36  cnf(i_0_21, plain, (g(z1(X3,y))), inference(extension_rule, [i_0_11])).
% 0.18/0.36  cnf(i_0_69, plain, (~f(z1(X3,X10))), inference(extension_rule, [i_0_9])).
% 0.18/0.36  cnf(i_0_71, plain, (~f(z1(X11,z1(X3,X10)))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_22, plain, (~g(z1(z1(X3,y),y))), inference(extension_rule, [i_0_10])).
% 0.18/0.36  cnf(i_0_75, plain, (~g(z1(z1(z1(X3,y),y),y))), inference(extension_rule, [i_0_8])).
% 0.18/0.36  cnf(i_0_85, plain, (f(z2(X1,X5))), inference(extension_rule, [i_0_12])).
% 0.18/0.36  cnf(i_0_88, plain, (h(z2(X1,X5))), inference(closure_rule, [i_0_14])).
% 0.18/0.36  cnf(i_0_72, plain, (g(X4)), inference(etableau_closure_rule, [i_0_72, ...])).
% 0.18/0.36  # End printing tableau
% 0.18/0.36  # SZS output end
% 0.18/0.36  # Branches closed with saturation will be marked with an "s"
% 0.18/0.36  # There were 1 total branch saturation attempts.
% 0.18/0.36  # There were 0 of these attempts blocked.
% 0.18/0.36  # There were 0 deferred branch saturation attempts.
% 0.18/0.36  # There were 0 free duplicated saturations.
% 0.18/0.36  # There were 1 total successful branch saturations.
% 0.18/0.36  # There were 1 successful branch saturations in interreduction.
% 0.18/0.36  # There were 0 successful branch saturations on the branch.
% 0.18/0.36  # There were 0 successful branch saturations after the branch.
% 0.18/0.36  # Child (12953) has found a proof.
% 0.18/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  # Begin clausification derivation
% 0.18/0.36  
% 0.18/0.36  # End clausification derivation
% 0.18/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.36  cnf(i_0_14, negated_conjecture, (~h(z2(X1,X2)))).
% 0.18/0.36  cnf(i_0_12, negated_conjecture, (h(X1)|~f(X1))).
% 0.18/0.36  cnf(i_0_13, negated_conjecture, (h(X1)|~g(X1))).
% 0.18/0.36  cnf(i_0_10, negated_conjecture, (g(X1)|~g(z1(X1,y)))).
% 0.18/0.36  cnf(i_0_11, negated_conjecture, (~g(z1(X1,y))|~f(z1(X1,X2)))).
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(X1)|f(X2))).
% 0.18/0.36  cnf(i_0_9, negated_conjecture, (f(X1)|~f(z1(X2,X1)))).
% 0.18/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.36  # Begin printing tableau
% 0.18/0.36  # Found 6 steps
% 0.18/0.36  cnf(i_0_8, negated_conjecture, (g(z2(X1,X4))|f(z1(X5,z1(X6,X7)))), inference(start_rule)).
% 0.18/0.36  cnf(i_0_17, plain, (g(z2(X1,X4))), inference(extension_rule, [i_0_13])).
% 0.18/0.36  cnf(i_0_60, plain, (h(z2(X1,X4))), inference(closure_rule, [i_0_14])).
% 0.18/0.36  cnf(i_0_18, plain, (f(z1(X5,z1(X6,X7)))), inference(extension_rule, [i_0_9])).
% 0.18/0.36  cnf(i_0_64, plain, (f(z1(X6,X7))), inference(extension_rule, [i_0_11])).
% 0.18/0.36  cnf(i_0_68, plain, (~g(z1(X6,y))), inference(etableau_closure_rule, [i_0_68, ...])).
% 0.18/0.36  # End printing tableau
% 0.18/0.36  # SZS output end
% 0.18/0.36  # Branches closed with saturation will be marked with an "s"
% 0.18/0.36  
% 0.18/0.36  # Proof search is over...
% 0.18/0.36  # Freeing feature tree
%------------------------------------------------------------------------------