TSTP Solution File: BOO014-3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : BOO014-3 : TPTP v8.1.0. Bugfixed v2.2.0.
% 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 : n023.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 14 23:38:26 EDT 2022

% Result   : Unsatisfiable 11.43s 3.68s
% Output   : CNFRefutation 11.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO014-3 : TPTP v8.1.0. Bugfixed v2.2.0.
% 0.07/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 23:01:56 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.12/0.37  # and selection function SelectCQIPrecWNTNp.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  # Number of axioms: 27 Number of unprocessed: 27
% 0.12/0.37  # Tableaux proof search.
% 0.12/0.37  # APR header successfully linked.
% 0.12/0.37  # Hello from C++
% 0.65/0.84  # The folding up rule is enabled...
% 0.65/0.84  # Local unification is enabled...
% 0.65/0.84  # Any saturation attempts will use folding labels...
% 0.65/0.84  # 27 beginning clauses after preprocessing and clausification
% 0.65/0.84  # Creating start rules for all 1 conjectures.
% 0.65/0.84  # There are 1 start rule candidates:
% 0.65/0.84  # Found 14 unit axioms.
% 0.65/0.84  # 1 start rule tableaux created.
% 0.65/0.84  # 13 extension rule candidate clauses
% 0.65/0.84  # 14 unit axiom clauses
% 0.65/0.84  
% 0.65/0.84  # Requested 8, 32 cores available to the main process.
% 0.65/0.84  # There are not enough tableaux to fork, creating more from the initial 1
% 2.29/2.51  # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 2.29/2.51  # We now have 12 tableaux to operate on
% 11.43/3.68  # There were 15 total branch saturation attempts.
% 11.43/3.68  # There were 4 of these attempts blocked.
% 11.43/3.68  # There were 0 deferred branch saturation attempts.
% 11.43/3.68  # There were 4 free duplicated saturations.
% 11.43/3.68  # There were 7 total successful branch saturations.
% 11.43/3.68  # There were 0 successful branch saturations in interreduction.
% 11.43/3.68  # There were 0 successful branch saturations on the branch.
% 11.43/3.68  # There were 3 successful branch saturations after the branch.
% 11.43/3.68  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.43/3.68  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.43/3.68  # Begin clausification derivation
% 11.43/3.68  
% 11.43/3.68  # End clausification derivation
% 11.43/3.68  # Begin listing active clauses obtained from FOF to CNF conversion
% 11.43/3.68  cnf(i_0_50, plain, (inverse(inverse(X1))=X1)).
% 11.43/3.68  cnf(i_0_52, hypothesis, (sum(x,y,x_plus_y))).
% 11.43/3.68  cnf(i_0_53, hypothesis, (product(inverse(x),inverse(y),x_inverse_times_y_inverse))).
% 11.43/3.68  cnf(i_0_33, plain, (sum(X1,additive_identity,X1))).
% 11.43/3.68  cnf(i_0_35, plain, (product(X1,multiplicative_identity,X1))).
% 11.43/3.68  cnf(i_0_32, plain, (sum(additive_identity,X1,X1))).
% 11.43/3.68  cnf(i_0_34, plain, (product(multiplicative_identity,X1,X1))).
% 11.43/3.68  cnf(i_0_45, plain, (sum(X1,inverse(X1),multiplicative_identity))).
% 11.43/3.68  cnf(i_0_47, plain, (product(X1,inverse(X1),additive_identity))).
% 11.43/3.68  cnf(i_0_44, plain, (sum(inverse(X1),X1,multiplicative_identity))).
% 11.43/3.68  cnf(i_0_46, plain, (product(inverse(X1),X1,additive_identity))).
% 11.43/3.68  cnf(i_0_28, plain, (sum(X1,X2,add(X1,X2)))).
% 11.43/3.68  cnf(i_0_29, plain, (product(X1,X2,multiply(X1,X2)))).
% 11.43/3.68  cnf(i_0_54, negated_conjecture, (inverse(x_plus_y)!=x_inverse_times_y_inverse)).
% 11.43/3.68  cnf(i_0_30, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))).
% 11.43/3.68  cnf(i_0_31, plain, (product(X1,X2,X3)|~product(X2,X1,X3))).
% 11.43/3.68  cnf(i_0_48, plain, (X1=X2|~sum(X3,X4,X2)|~sum(X3,X4,X1))).
% 11.43/3.68  cnf(i_0_49, plain, (X1=X2|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 11.43/3.68  cnf(i_0_51, plain, (X1=X2|~product(X3,X2,additive_identity)|~product(X3,X1,additive_identity)|~sum(X3,X2,multiplicative_identity)|~sum(X3,X1,multiplicative_identity))).
% 11.43/3.68  cnf(i_0_43, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X7,X1)|~sum(X7,X2,X5)|~sum(X6,X2,X4))).
% 11.43/3.68  cnf(i_0_36, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X4,X6,X2)|~product(X4,X7,X1)|~sum(X7,X6,X5))).
% 11.43/3.68  cnf(i_0_38, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X7,X5,X1)|~sum(X7,X6,X4))).
% 11.43/3.68  cnf(i_0_41, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X7,X2)|~sum(X1,X7,X5)|~sum(X1,X6,X4))).
% 11.43/3.68  cnf(i_0_39, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X2,X7)|~sum(X7,X5,X3)|~sum(X6,X4,X1))).
% 11.43/3.68  cnf(i_0_42, plain, (product(X1,X2,X3)|~product(X4,X5,X6)|~sum(X6,X7,X3)|~sum(X5,X7,X2)|~sum(X4,X7,X1))).
% 11.43/3.68  cnf(i_0_40, plain, (product(X1,X2,X3)|~product(X4,X5,X6)|~sum(X7,X6,X3)|~sum(X7,X5,X2)|~sum(X7,X4,X1))).
% 11.43/3.68  cnf(i_0_37, plain, (product(X1,X2,X3)|~product(X1,X4,X5)|~product(X1,X6,X7)|~sum(X7,X5,X3)|~sum(X6,X4,X2))).
% 11.43/3.68  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 11.43/3.68  # Begin printing tableau
% 11.43/3.68  # Found 12 steps
% 11.43/3.68  cnf(i_0_54, negated_conjecture, (inverse(x_plus_y)!=x_inverse_times_y_inverse), inference(start_rule)).
% 11.43/3.68  cnf(i_0_55, plain, (inverse(x_plus_y)!=x_inverse_times_y_inverse), inference(extension_rule, [i_0_51])).
% 11.43/3.68  cnf(i_0_67, plain, (~product(inverse(x_inverse_times_y_inverse),x_inverse_times_y_inverse,additive_identity)), inference(closure_rule, [i_0_46])).
% 11.43/3.68  cnf(i_0_69, plain, (~sum(inverse(x_inverse_times_y_inverse),x_inverse_times_y_inverse,multiplicative_identity)), inference(closure_rule, [i_0_44])).
% 11.43/3.68  cnf(i_0_70, plain, (~sum(inverse(x_inverse_times_y_inverse),inverse(x_plus_y),multiplicative_identity)), inference(extension_rule, [i_0_30])).
% 11.43/3.68  cnf(i_0_147855, plain, (~sum(inverse(x_plus_y),inverse(x_inverse_times_y_inverse),multiplicative_identity)), inference(extension_rule, [i_0_43])).
% 11.43/3.68  cnf(i_0_185234, plain, (~product(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_35])).
% 11.43/3.68  cnf(i_0_185236, plain, (~sum(x_inverse_times_y_inverse,inverse(x_inverse_times_y_inverse),multiplicative_identity)), inference(closure_rule, [i_0_45])).
% 11.43/3.68  cnf(i_0_185237, plain, (~sum(x_inverse_times_y_inverse,inverse(x_inverse_times_y_inverse),multiplicative_identity)), inference(closure_rule, [i_0_45])).
% 11.43/3.68  cnf(i_0_68, plain, (~product(inverse(x_inverse_times_y_inverse),inverse(x_plus_y),additive_identity)), inference(extension_rule, [i_0_31])).
% 11.43/3.68  cnf(i_0_185235, plain, (~product(x_inverse_times_y_inverse,x_inverse_times_y_inverse,inverse(x_plus_y))), inference(etableau_closure_rule, [i_0_185235, ...])).
% 11.43/3.68  cnf(i_0_185241, plain, (~product(inverse(x_plus_y),inverse(x_inverse_times_y_inverse),additive_identity)), inference(etableau_closure_rule, [i_0_185241, ...])).
% 11.43/3.68  # End printing tableau
% 11.43/3.68  # SZS output end
% 11.43/3.68  # Branches closed with saturation will be marked with an "s"
% 11.61/3.68  # Child (32241) has found a proof.
% 11.61/3.68  
% 11.61/3.69  # Proof search is over...
% 11.61/3.69  # Freeing feature tree
%------------------------------------------------------------------------------