TSTP Solution File: SYN075+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : 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 06:07:56 EDT 2022

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % 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 : n025.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 05:42:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.37  # No SInE strategy applied
% 0.19/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S032N
% 0.19/0.37  # and selection function SelectUnlessUniqMax.
% 0.19/0.37  #
% 0.19/0.37  # Presaturation interreduction done
% 0.19/0.37  # Number of axioms: 7 Number of unprocessed: 7
% 0.19/0.37  # Tableaux proof search.
% 0.19/0.37  # APR header successfully linked.
% 0.19/0.37  # Hello from C++
% 0.19/0.37  # The folding up rule is enabled...
% 0.19/0.37  # Local unification is enabled...
% 0.19/0.37  # Any saturation attempts will use folding labels...
% 0.19/0.37  # 7 beginning clauses after preprocessing and clausification
% 0.19/0.37  # Creating start rules for all 4 conjectures.
% 0.19/0.37  # There are 4 start rule candidates:
% 0.19/0.37  # Found 1 unit axioms.
% 0.19/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.37  # 4 start rule tableaux created.
% 0.19/0.37  # 6 extension rule candidate clauses
% 0.19/0.37  # 1 unit axiom clauses
% 0.19/0.37  
% 0.19/0.37  # Requested 8, 32 cores available to the main process.
% 0.19/0.37  # There are not enough tableaux to fork, creating more from the initial 4
% 0.19/0.37  # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.37  # We now have 11 tableaux to operate on
% 0.19/0.38  # Creating equality axioms
% 0.19/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.19/0.38  # Creating equality axioms
% 0.19/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.19/0.38  # Creating equality axioms
% 0.19/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.19/0.38  # Creating equality axioms
% 0.19/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.19/0.38  # Creating equality axioms
% 0.19/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.19/0.38  # Creating equality axioms
% 0.19/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.19/0.38  # There were 2 total branch saturation attempts.
% 0.19/0.38  # There were 0 of these attempts blocked.
% 0.19/0.38  # There were 0 deferred branch saturation attempts.
% 0.19/0.38  # There were 0 free duplicated saturations.
% 0.19/0.38  # There were 2 total successful branch saturations.
% 0.19/0.38  # There were 0 successful branch saturations in interreduction.
% 0.19/0.38  # There were 0 successful branch saturations on the branch.
% 0.19/0.38  # There were 2 successful branch saturations after the branch.
% 0.19/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # Begin clausification derivation
% 0.19/0.38  
% 0.19/0.38  # End clausification derivation
% 0.19/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38  cnf(i_0_1, plain, (big_f(esk1_0,esk2_0))).
% 0.19/0.38  cnf(i_0_3, plain, (X1=esk1_0|~big_f(X1,X2))).
% 0.19/0.38  cnf(i_0_2, plain, (X1=esk2_0|~big_f(X2,X1))).
% 0.19/0.38  cnf(i_0_7, negated_conjecture, (esk4_2(X1,X2)!=X2|esk3_1(X1)!=X1|~big_f(esk4_2(X1,X2),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_4, negated_conjecture, (esk3_1(X1)=X1|big_f(esk5_1(X1),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_5, negated_conjecture, (esk3_1(X1)=X1|X2=esk5_1(X1)|~big_f(X2,esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_6, negated_conjecture, (esk4_2(X1,X2)=X2|big_f(esk4_2(X1,X2),esk3_1(X1))|esk3_1(X1)!=X1)).
% 0.19/0.38  cnf(i_0_97, plain, (X16=X16)).
% 0.19/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.38  # Begin printing tableau
% 0.19/0.38  # Found 10 steps
% 0.19/0.38  cnf(i_0_97, plain, (esk1_0=esk1_0), inference(start_rule)).
% 0.19/0.38  cnf(i_0_118, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_101])).
% 0.19/0.38  cnf(i_0_143, plain, ($false), inference(closure_rule, [i_0_97])).
% 0.19/0.38  cnf(i_0_144, plain, (~big_f(esk1_0,esk2_0)), inference(closure_rule, [i_0_1])).
% 0.19/0.38  cnf(i_0_141, plain, (big_f(esk1_0,esk2_0)), inference(extension_rule, [i_0_101])).
% 0.19/0.38  cnf(i_0_168, plain, ($false), inference(closure_rule, [i_0_97])).
% 0.19/0.38  cnf(i_0_167, plain, (big_f(esk1_0,esk1_0)), inference(extension_rule, [i_0_2])).
% 0.19/0.38  cnf(i_0_169, plain, (esk2_0!=esk1_0), inference(extension_rule, [i_0_3])).
% 0.19/0.38  cnf(i_0_173, plain, (esk1_0=esk2_0), inference(etableau_closure_rule, [i_0_173, ...])).
% 0.19/0.38  cnf(i_0_176, plain, (~big_f(esk2_0,X5)), inference(etableau_closure_rule, [i_0_176, ...])).
% 0.19/0.38  # End printing tableau
% 0.19/0.38  # SZS output end
% 0.19/0.38  # Branches closed with saturation will be marked with an "s"
% 0.19/0.38  # There were 2 total branch saturation attempts.
% 0.19/0.38  # There were 0 of these attempts blocked.
% 0.19/0.38  # There were 0 deferred branch saturation attempts.
% 0.19/0.38  # There were 0 free duplicated saturations.
% 0.19/0.38  # There were 2 total successful branch saturations.
% 0.19/0.38  # There were 0 successful branch saturations in interreduction.
% 0.19/0.38  # There were 0 successful branch saturations on the branch.
% 0.19/0.38  # There were 2 successful branch saturations after the branch.
% 0.19/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # Begin clausification derivation
% 0.19/0.38  
% 0.19/0.38  # End clausification derivation
% 0.19/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38  cnf(i_0_1, plain, (big_f(esk1_0,esk2_0))).
% 0.19/0.38  cnf(i_0_3, plain, (X1=esk1_0|~big_f(X1,X2))).
% 0.19/0.38  cnf(i_0_2, plain, (X1=esk2_0|~big_f(X2,X1))).
% 0.19/0.38  cnf(i_0_7, negated_conjecture, (esk4_2(X1,X2)!=X2|esk3_1(X1)!=X1|~big_f(esk4_2(X1,X2),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_4, negated_conjecture, (esk3_1(X1)=X1|big_f(esk5_1(X1),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_5, negated_conjecture, (esk3_1(X1)=X1|X2=esk5_1(X1)|~big_f(X2,esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_6, negated_conjecture, (esk4_2(X1,X2)=X2|big_f(esk4_2(X1,X2),esk3_1(X1))|esk3_1(X1)!=X1)).
% 0.19/0.38  cnf(i_0_119, plain, (X16=X16)).
% 0.19/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.38  # Begin printing tableau
% 0.19/0.38  # Found 10 steps
% 0.19/0.38  cnf(i_0_119, plain, (esk1_0=esk1_0), inference(start_rule)).
% 0.19/0.38  cnf(i_0_140, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_123])).
% 0.19/0.38  cnf(i_0_165, plain, ($false), inference(closure_rule, [i_0_119])).
% 0.19/0.38  cnf(i_0_166, plain, (~big_f(esk1_0,esk2_0)), inference(closure_rule, [i_0_1])).
% 0.19/0.38  cnf(i_0_163, plain, (big_f(esk1_0,esk2_0)), inference(extension_rule, [i_0_123])).
% 0.19/0.38  cnf(i_0_190, plain, ($false), inference(closure_rule, [i_0_119])).
% 0.19/0.38  cnf(i_0_189, plain, (big_f(esk1_0,esk1_0)), inference(extension_rule, [i_0_2])).
% 0.19/0.38  cnf(i_0_191, plain, (esk2_0!=esk1_0), inference(extension_rule, [i_0_3])).
% 0.19/0.38  cnf(i_0_195, plain, (esk1_0=esk2_0), inference(etableau_closure_rule, [i_0_195, ...])).
% 0.19/0.38  cnf(i_0_198, plain, (~big_f(esk2_0,X5)), inference(etableau_closure_rule, [i_0_198, ...])).
% 0.19/0.38  # End printing tableau
% 0.19/0.38  # SZS output end
% 0.19/0.38  # Branches closed with saturation will be marked with an "s"
% 0.19/0.38  # There were 2 total branch saturation attempts.
% 0.19/0.38  # There were 0 of these attempts blocked.
% 0.19/0.38  # There were 0 deferred branch saturation attempts.
% 0.19/0.38  # There were 0 free duplicated saturations.
% 0.19/0.38  # There were 2 total successful branch saturations.
% 0.19/0.38  # There were 0 successful branch saturations in interreduction.
% 0.19/0.38  # There were 0 successful branch saturations on the branch.
% 0.19/0.38  # There were 2 successful branch saturations after the branch.
% 0.19/0.38  # There were 3 total branch saturation attempts.
% 0.19/0.38  # There were 0 of these attempts blocked.
% 0.19/0.38  # There were 0 deferred branch saturation attempts.
% 0.19/0.38  # There were 0 free duplicated saturations.
% 0.19/0.38  # There were 3 total successful branch saturations.
% 0.19/0.38  # There were 0 successful branch saturations in interreduction.
% 0.19/0.38  # There were 0 successful branch saturations on the branch.
% 0.19/0.38  # There were 3 successful branch saturations after the branch.
% 0.19/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # Begin clausification derivation
% 0.19/0.38  
% 0.19/0.38  # End clausification derivation
% 0.19/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38  cnf(i_0_1, plain, (big_f(esk1_0,esk2_0))).
% 0.19/0.38  cnf(i_0_3, plain, (X1=esk1_0|~big_f(X1,X2))).
% 0.19/0.38  cnf(i_0_2, plain, (X1=esk2_0|~big_f(X2,X1))).
% 0.19/0.38  cnf(i_0_7, negated_conjecture, (esk4_2(X1,X2)!=X2|esk3_1(X1)!=X1|~big_f(esk4_2(X1,X2),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_4, negated_conjecture, (esk3_1(X1)=X1|big_f(esk5_1(X1),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_5, negated_conjecture, (esk3_1(X1)=X1|X2=esk5_1(X1)|~big_f(X2,esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_6, negated_conjecture, (esk4_2(X1,X2)=X2|big_f(esk4_2(X1,X2),esk3_1(X1))|esk3_1(X1)!=X1)).
% 0.19/0.38  cnf(i_0_379, plain, (X16=X16)).
% 0.19/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.38  # Begin printing tableau
% 0.19/0.38  # Found 10 steps
% 0.19/0.38  cnf(i_0_379, plain, (esk1_0=esk1_0), inference(start_rule)).
% 0.19/0.38  cnf(i_0_400, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_383])).
% 0.19/0.38  cnf(i_0_425, plain, ($false), inference(closure_rule, [i_0_379])).
% 0.19/0.38  cnf(i_0_426, plain, (~big_f(esk1_0,esk2_0)), inference(closure_rule, [i_0_1])).
% 0.19/0.38  cnf(i_0_423, plain, (big_f(esk1_0,esk2_0)), inference(extension_rule, [i_0_383])).
% 0.19/0.38  cnf(i_0_450, plain, ($false), inference(closure_rule, [i_0_379])).
% 0.19/0.38  cnf(i_0_449, plain, (big_f(esk1_0,esk3_1(esk2_0))), inference(extension_rule, [i_0_2])).
% 0.19/0.38  cnf(i_0_451, plain, (esk2_0!=esk3_1(esk2_0)), inference(extension_rule, [i_0_4])).
% 0.19/0.38  cnf(i_0_457, plain, (esk3_1(esk2_0)=esk2_0), inference(etableau_closure_rule, [i_0_457, ...])).
% 0.19/0.38  cnf(i_0_460, plain, (big_f(esk5_1(esk2_0),esk3_1(esk2_0))), inference(etableau_closure_rule, [i_0_460, ...])).
% 0.19/0.38  # End printing tableau
% 0.19/0.38  # SZS output end
% 0.19/0.38  # Branches closed with saturation will be marked with an "s"
% 0.19/0.38  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  # Begin clausification derivation
% 0.19/0.38  
% 0.19/0.38  # End clausification derivation
% 0.19/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.38  cnf(i_0_1, plain, (big_f(esk1_0,esk2_0))).
% 0.19/0.38  cnf(i_0_3, plain, (X1=esk1_0|~big_f(X1,X2))).
% 0.19/0.38  cnf(i_0_2, plain, (X1=esk2_0|~big_f(X2,X1))).
% 0.19/0.38  cnf(i_0_7, negated_conjecture, (esk4_2(X1,X2)!=X2|esk3_1(X1)!=X1|~big_f(esk4_2(X1,X2),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_4, negated_conjecture, (esk3_1(X1)=X1|big_f(esk5_1(X1),esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_5, negated_conjecture, (esk3_1(X1)=X1|X2=esk5_1(X1)|~big_f(X2,esk3_1(X1)))).
% 0.19/0.38  cnf(i_0_6, negated_conjecture, (esk4_2(X1,X2)=X2|big_f(esk4_2(X1,X2),esk3_1(X1))|esk3_1(X1)!=X1)).
% 0.19/0.38  cnf(i_0_119, plain, (X16=X16)).
% 0.19/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.38  # Begin printing tableau
% 0.19/0.38  # Found 10 steps
% 0.19/0.38  cnf(i_0_119, plain, (esk1_0=esk1_0), inference(start_rule)).
% 0.19/0.38  cnf(i_0_140, plain, (esk1_0=esk1_0), inference(extension_rule, [i_0_123])).
% 0.19/0.38  cnf(i_0_165, plain, ($false), inference(closure_rule, [i_0_119])).
% 0.19/0.38  cnf(i_0_166, plain, (~big_f(esk1_0,esk2_0)), inference(closure_rule, [i_0_1])).
% 0.19/0.38  cnf(i_0_163, plain, (big_f(esk1_0,esk2_0)), inference(extension_rule, [i_0_123])).
% 0.19/0.38  cnf(i_0_190, plain, ($false), inference(closure_rule, [i_0_119])).
% 0.19/0.38  cnf(i_0_189, plain, (big_f(esk1_0,esk1_0)), inference(extension_rule, [i_0_2])).
% 0.19/0.38  cnf(i_0_191, plain, (esk2_0!=esk1_0), inference(extension_rule, [i_0_3])).
% 0.19/0.38  cnf(i_0_195, plain, (esk1_0=esk2_0), inference(etableau_closure_rule, [i_0_195, ...])).
% 0.19/0.38  cnf(i_0_198, plain, (~big_f(esk2_0,X5)), inference(etableau_closure_rule, [i_0_198, ...])).
% 0.19/0.38  # End printing tableau
% 0.19/0.38  # SZS output end
% 0.19/0.38  # Branches closed with saturation will be marked with an "s"
% 0.19/0.38  # Child (14544) has found a proof.
% 0.19/0.38  
% 0.19/0.38  # Proof search is over...
% 0.19/0.38  # Freeing feature tree
%------------------------------------------------------------------------------