TSTP Solution File: NUN087+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : Mon Jul 18 16:26:22 EDT 2022

% Result   : Theorem 0.16s 0.35s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.10  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.09/0.31  % Computer : n025.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 600
% 0.09/0.31  % DateTime : Thu Jun  2 06:27:44 EDT 2022
% 0.09/0.31  % CPUTime  : 
% 0.16/0.34  # No SInE strategy applied
% 0.16/0.34  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S4b
% 0.16/0.34  # and selection function SelectCQIPrecW.
% 0.16/0.34  #
% 0.16/0.34  # Presaturation interreduction done
% 0.16/0.34  # Number of axioms: 28 Number of unprocessed: 28
% 0.16/0.34  # Tableaux proof search.
% 0.16/0.34  # APR header successfully linked.
% 0.16/0.34  # 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  # 28 beginning clauses after preprocessing and clausification
% 0.16/0.34  # Creating start rules for all 1 conjectures.
% 0.16/0.34  # There are 1 start rule candidates:
% 0.16/0.34  # Found 17 unit axioms.
% 0.16/0.34  # 1 start rule tableaux created.
% 0.16/0.34  # 11 extension rule candidate clauses
% 0.16/0.34  # 17 unit axiom clauses
% 0.16/0.34  
% 0.16/0.34  # Requested 8, 32 cores available to the main process.
% 0.16/0.34  # There are not enough tableaux to fork, creating more from the initial 1
% 0.16/0.34  # Creating equality axioms
% 0.16/0.34  # Ran out of tableaux, making start rules for all clauses
% 0.16/0.34  # Returning from population with 33 new_tableaux and 0 remaining starting tableaux.
% 0.16/0.34  # We now have 33 tableaux to operate on
% 0.16/0.35  # There were 1 total branch saturation attempts.
% 0.16/0.35  # There were 0 of these attempts blocked.
% 0.16/0.35  # There were 0 deferred branch saturation attempts.
% 0.16/0.35  # There were 0 free duplicated saturations.
% 0.16/0.35  # There were 1 total successful branch saturations.
% 0.16/0.35  # There were 0 successful branch saturations in interreduction.
% 0.16/0.35  # There were 0 successful branch saturations on the branch.
% 0.16/0.35  # There were 1 successful branch saturations after the branch.
% 0.16/0.35  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  # Begin clausification derivation
% 0.16/0.35  
% 0.16/0.35  # End clausification derivation
% 0.16/0.35  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.16/0.35  cnf(i_0_30, plain, (r1(esk14_1(X1)))).
% 0.16/0.35  cnf(i_0_2, plain, (r1(esk1_0))).
% 0.16/0.35  cnf(i_0_32, plain, (r1(esk15_1(X1)))).
% 0.16/0.35  cnf(i_0_34, plain, (r1(esk16_1(X1)))).
% 0.16/0.35  cnf(i_0_6, plain, (r2(X1,esk2_1(X1)))).
% 0.16/0.35  cnf(i_0_21, plain, (r2(X1,esk7_2(X2,X1)))).
% 0.16/0.35  cnf(i_0_26, plain, (r2(X1,esk11_2(X2,X1)))).
% 0.16/0.35  cnf(i_0_29, plain, (r3(X1,esk14_1(X1),X1))).
% 0.16/0.35  cnf(i_0_17, plain, (r3(X1,X2,esk8_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_22, plain, (r4(X1,X2,esk12_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_33, plain, (r4(X1,esk16_1(X1),esk15_1(X1)))).
% 0.16/0.35  cnf(i_0_14, plain, (r4(X1,X2,esk4_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_10, plain, (r3(X1,X2,esk3_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_18, plain, (r2(esk8_2(X1,X2),esk5_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_20, plain, (r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_25, plain, (r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_23, plain, (r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_3, plain, (X1=esk1_0|~r1(X1))).
% 0.16/0.35  cnf(i_0_35, plain, (esk20_1(X1)=X1|esk18_1(X1)=X1)).
% 0.16/0.35  cnf(i_0_39, plain, (~r2(X1,X2)|~r1(X2))).
% 0.16/0.35  cnf(i_0_37, plain, (esk20_1(X1)=X1|r1(esk18_1(X1)))).
% 0.16/0.35  cnf(i_0_40, negated_conjecture, (~r4(X1,X1,X2)|~r1(X2)|~r1(X1))).
% 0.16/0.35  cnf(i_0_7, plain, (X1=esk2_1(X2)|~r2(X2,X1))).
% 0.16/0.35  cnf(i_0_36, plain, (esk18_1(X1)=X1|r2(esk19_1(X1),esk20_1(X1)))).
% 0.16/0.35  cnf(i_0_15, plain, (X1=esk4_2(X2,X3)|~r4(X2,X3,X1))).
% 0.16/0.35  cnf(i_0_38, plain, (r2(esk19_1(X1),esk20_1(X1))|r1(esk18_1(X1)))).
% 0.16/0.35  cnf(i_0_11, plain, (X1=esk3_2(X2,X3)|~r3(X2,X3,X1))).
% 0.16/0.35  cnf(i_0_27, plain, (X1=X2|~r2(X2,X3)|~r2(X1,X3))).
% 0.16/0.35  cnf(i_0_75, plain, (X90=X90)).
% 0.16/0.35  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.16/0.35  # Begin printing tableau
% 0.16/0.35  # Found 6 steps
% 0.16/0.35  cnf(i_0_30, plain, (r1(esk14_1(X7))), inference(start_rule)).
% 0.16/0.35  cnf(i_0_83, plain, (r1(esk14_1(X7))), inference(extension_rule, [i_0_39])).
% 0.16/0.35  cnf(i_0_129, plain, (~r2(X2,esk14_1(X7))), inference(extension_rule, [i_0_80])).
% 0.16/0.35  cnf(i_0_208, plain, ($false), inference(closure_rule, [i_0_75])).
% 0.16/0.35  cnf(i_0_210, plain, (~r2(X2,esk2_1(X2))), inference(closure_rule, [i_0_6])).
% 0.16/0.35  cnf(i_0_209, plain, (esk2_1(X2)!=esk14_1(X7)), inference(etableau_closure_rule, [i_0_209, ...])).
% 0.16/0.35  # End printing tableau
% 0.16/0.35  # SZS output end
% 0.16/0.35  # Branches closed with saturation will be marked with an "s"
% 0.16/0.35  # There were 1 total branch saturation attempts.
% 0.16/0.35  # There were 0 of these attempts blocked.
% 0.16/0.35  # There were 0 deferred branch saturation attempts.
% 0.16/0.35  # There were 0 free duplicated saturations.
% 0.16/0.35  # There were 1 total successful branch saturations.
% 0.16/0.35  # There were 0 successful branch saturations in interreduction.
% 0.16/0.35  # There were 0 successful branch saturations on the branch.
% 0.16/0.35  # There were 1 successful branch saturations after the branch.
% 0.16/0.35  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  # Begin clausification derivation
% 0.16/0.35  
% 0.16/0.35  # End clausification derivation
% 0.16/0.35  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.16/0.35  cnf(i_0_30, plain, (r1(esk14_1(X1)))).
% 0.16/0.35  cnf(i_0_2, plain, (r1(esk1_0))).
% 0.16/0.35  cnf(i_0_32, plain, (r1(esk15_1(X1)))).
% 0.16/0.35  cnf(i_0_34, plain, (r1(esk16_1(X1)))).
% 0.16/0.35  cnf(i_0_6, plain, (r2(X1,esk2_1(X1)))).
% 0.16/0.35  cnf(i_0_21, plain, (r2(X1,esk7_2(X2,X1)))).
% 0.16/0.35  cnf(i_0_26, plain, (r2(X1,esk11_2(X2,X1)))).
% 0.16/0.35  cnf(i_0_29, plain, (r3(X1,esk14_1(X1),X1))).
% 0.16/0.35  cnf(i_0_17, plain, (r3(X1,X2,esk8_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_22, plain, (r4(X1,X2,esk12_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_33, plain, (r4(X1,esk16_1(X1),esk15_1(X1)))).
% 0.16/0.35  cnf(i_0_14, plain, (r4(X1,X2,esk4_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_10, plain, (r3(X1,X2,esk3_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_18, plain, (r2(esk8_2(X1,X2),esk5_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_20, plain, (r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_25, plain, (r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_23, plain, (r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_3, plain, (X1=esk1_0|~r1(X1))).
% 0.16/0.35  cnf(i_0_35, plain, (esk20_1(X1)=X1|esk18_1(X1)=X1)).
% 0.16/0.35  cnf(i_0_39, plain, (~r2(X1,X2)|~r1(X2))).
% 0.16/0.35  cnf(i_0_37, plain, (esk20_1(X1)=X1|r1(esk18_1(X1)))).
% 0.16/0.35  cnf(i_0_40, negated_conjecture, (~r4(X1,X1,X2)|~r1(X2)|~r1(X1))).
% 0.16/0.35  cnf(i_0_7, plain, (X1=esk2_1(X2)|~r2(X2,X1))).
% 0.16/0.35  cnf(i_0_36, plain, (esk18_1(X1)=X1|r2(esk19_1(X1),esk20_1(X1)))).
% 0.16/0.35  cnf(i_0_15, plain, (X1=esk4_2(X2,X3)|~r4(X2,X3,X1))).
% 0.16/0.35  cnf(i_0_38, plain, (r2(esk19_1(X1),esk20_1(X1))|r1(esk18_1(X1)))).
% 0.16/0.35  cnf(i_0_11, plain, (X1=esk3_2(X2,X3)|~r3(X2,X3,X1))).
% 0.16/0.35  cnf(i_0_27, plain, (X1=X2|~r2(X2,X3)|~r2(X1,X3))).
% 0.16/0.35  cnf(i_0_75, plain, (X90=X90)).
% 0.16/0.35  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.16/0.35  # Begin printing tableau
% 0.16/0.35  # Found 6 steps
% 0.16/0.35  cnf(i_0_2, plain, (r1(esk1_0)), inference(start_rule)).
% 0.16/0.35  cnf(i_0_84, plain, (r1(esk1_0)), inference(extension_rule, [i_0_3])).
% 0.16/0.35  cnf(i_0_173, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_80])).
% 0.16/0.35  cnf(i_0_353, plain, ($false), inference(closure_rule, [i_0_75])).
% 0.16/0.35  cnf(i_0_354, plain, (~r2(esk1_0,esk2_1(esk1_0))), inference(closure_rule, [i_0_6])).
% 0.16/0.35  cnf(i_0_351, plain, (r2(esk1_0,esk2_1(esk1_0))), inference(etableau_closure_rule, [i_0_351, ...])).
% 0.16/0.35  # End printing tableau
% 0.16/0.35  # SZS output end
% 0.16/0.35  # Branches closed with saturation will be marked with an "s"
% 0.16/0.35  # There were 1 total branch saturation attempts.
% 0.16/0.35  # There were 0 of these attempts blocked.
% 0.16/0.35  # There were 0 deferred branch saturation attempts.
% 0.16/0.35  # There were 0 free duplicated saturations.
% 0.16/0.35  # There were 1 total successful branch saturations.
% 0.16/0.35  # There were 0 successful branch saturations in interreduction.
% 0.16/0.35  # There were 0 successful branch saturations on the branch.
% 0.16/0.35  # There were 1 successful branch saturations after the branch.
% 0.16/0.35  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  # Begin clausification derivation
% 0.16/0.35  
% 0.16/0.35  # End clausification derivation
% 0.16/0.35  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.16/0.35  cnf(i_0_30, plain, (r1(esk14_1(X1)))).
% 0.16/0.35  cnf(i_0_2, plain, (r1(esk1_0))).
% 0.16/0.35  cnf(i_0_32, plain, (r1(esk15_1(X1)))).
% 0.16/0.35  cnf(i_0_34, plain, (r1(esk16_1(X1)))).
% 0.16/0.35  cnf(i_0_6, plain, (r2(X1,esk2_1(X1)))).
% 0.16/0.35  cnf(i_0_21, plain, (r2(X1,esk7_2(X2,X1)))).
% 0.16/0.35  cnf(i_0_26, plain, (r2(X1,esk11_2(X2,X1)))).
% 0.16/0.35  cnf(i_0_29, plain, (r3(X1,esk14_1(X1),X1))).
% 0.16/0.35  cnf(i_0_17, plain, (r3(X1,X2,esk8_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_22, plain, (r4(X1,X2,esk12_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_33, plain, (r4(X1,esk16_1(X1),esk15_1(X1)))).
% 0.16/0.35  cnf(i_0_14, plain, (r4(X1,X2,esk4_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_10, plain, (r3(X1,X2,esk3_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_18, plain, (r2(esk8_2(X1,X2),esk5_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_20, plain, (r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_25, plain, (r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_23, plain, (r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)))).
% 0.16/0.35  cnf(i_0_3, plain, (X1=esk1_0|~r1(X1))).
% 0.16/0.35  cnf(i_0_35, plain, (esk20_1(X1)=X1|esk18_1(X1)=X1)).
% 0.16/0.35  cnf(i_0_39, plain, (~r2(X1,X2)|~r1(X2))).
% 0.16/0.35  cnf(i_0_37, plain, (esk20_1(X1)=X1|r1(esk18_1(X1)))).
% 0.16/0.35  cnf(i_0_40, negated_conjecture, (~r4(X1,X1,X2)|~r1(X2)|~r1(X1))).
% 0.16/0.35  cnf(i_0_7, plain, (X1=esk2_1(X2)|~r2(X2,X1))).
% 0.16/0.35  cnf(i_0_36, plain, (esk18_1(X1)=X1|r2(esk19_1(X1),esk20_1(X1)))).
% 0.16/0.35  cnf(i_0_15, plain, (X1=esk4_2(X2,X3)|~r4(X2,X3,X1))).
% 0.16/0.35  cnf(i_0_38, plain, (r2(esk19_1(X1),esk20_1(X1))|r1(esk18_1(X1)))).
% 0.16/0.35  cnf(i_0_11, plain, (X1=esk3_2(X2,X3)|~r3(X2,X3,X1))).
% 0.16/0.35  cnf(i_0_27, plain, (X1=X2|~r2(X2,X3)|~r2(X1,X3))).
% 0.16/0.35  cnf(i_0_75, plain, (X90=X90)).
% 0.16/0.35  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.16/0.35  # Begin printing tableau
% 0.16/0.35  # Found 6 steps
% 0.16/0.35  cnf(i_0_30, plain, (r1(esk14_1(X6))), inference(start_rule)).
% 0.16/0.35  cnf(i_0_83, plain, (r1(esk14_1(X6))), inference(extension_rule, [i_0_3])).
% 0.16/0.35  cnf(i_0_125, plain, (esk14_1(X6)=esk1_0), inference(extension_rule, [i_0_80])).
% 0.16/0.35  cnf(i_0_439, plain, ($false), inference(closure_rule, [i_0_75])).
% 0.16/0.35  cnf(i_0_440, plain, (~r2(esk14_1(X6),esk2_1(esk14_1(X6)))), inference(closure_rule, [i_0_6])).
% 0.16/0.35  cnf(i_0_437, plain, (r2(esk1_0,esk2_1(esk14_1(X6)))), inference(etableau_closure_rule, [i_0_437, ...])).
% 0.16/0.35  # End printing tableau
% 0.16/0.35  # SZS output end
% 0.16/0.35  # Branches closed with saturation will be marked with an "s"
% 0.16/0.35  # Child (6002) has found a proof.
% 0.16/0.35  
% 0.16/0.35  # Proof search is over...
% 0.16/0.35  # Freeing feature tree
%------------------------------------------------------------------------------