TSTP Solution File: BOO020-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : BOO020-1 : TPTP v8.1.0. Released 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 : n017.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 23:38:27 EDT 2022

% Result   : Unsatisfiable 1.79s 0.58s
% Output   : CNFRefutation 1.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO020-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % 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 : n017.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 : Wed Jun  1 15:54:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.13/0.37  # and selection function SelectCQIPrecWNTNp.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 4 Number of unprocessed: 4
% 0.13/0.37  # Tableaux proof search.
% 0.13/0.37  # APR header successfully linked.
% 0.13/0.37  # Hello from C++
% 0.13/0.37  # The folding up rule is enabled...
% 0.13/0.37  # Local unification is enabled...
% 0.13/0.37  # Any saturation attempts will use folding labels...
% 0.13/0.37  # 4 beginning clauses after preprocessing and clausification
% 0.13/0.37  # Creating start rules for all 1 conjectures.
% 0.13/0.37  # There are 1 start rule candidates:
% 0.13/0.37  # Found 1 unit axioms.
% 0.13/0.37  # 1 start rule tableaux created.
% 0.13/0.37  # 3 extension rule candidate clauses
% 0.13/0.37  # 1 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.37  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.37  # Creating equality axioms
% 0.13/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37  # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37  # We now have 9 tableaux to operate on
% 1.79/0.58  # There were 4 total branch saturation attempts.
% 1.79/0.58  # There were 0 of these attempts blocked.
% 1.79/0.58  # There were 0 deferred branch saturation attempts.
% 1.79/0.58  # There were 0 free duplicated saturations.
% 1.79/0.58  # There were 4 total successful branch saturations.
% 1.79/0.58  # There were 0 successful branch saturations in interreduction.
% 1.79/0.58  # There were 0 successful branch saturations on the branch.
% 1.79/0.58  # There were 4 successful branch saturations after the branch.
% 1.79/0.58  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/0.58  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/0.58  # Begin clausification derivation
% 1.79/0.58  
% 1.79/0.58  # End clausification derivation
% 1.79/0.58  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.79/0.58  cnf(i_0_5, plain, (add(X1,X1)=X1)).
% 1.79/0.58  cnf(i_0_8, negated_conjecture, (add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))!=b|add(add(a,b),c)!=add(a,add(b,c))|add(a,b)!=add(b,a))).
% 1.79/0.58  cnf(i_0_7, plain, (add(add(add(X1,X2),X3),X4)=add(add(X2,X3),X1)|add(add(add(X1,X2),X3),inverse(X4))!=n0)).
% 1.79/0.58  cnf(i_0_6, plain, (add(add(add(X1,X2),X3),inverse(X4))=n0|add(add(add(X1,X2),X3),X4)!=add(add(X2,X3),X1))).
% 1.79/0.58  cnf(i_0_33, plain, (X5=X5)).
% 1.79/0.58  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 1.79/0.58  # Begin printing tableau
% 1.79/0.58  # Found 11 steps
% 1.79/0.58  cnf(i_0_7, plain, (add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))))=add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))))|add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),inverse(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b))))))!=n0), inference(start_rule)).
% 1.79/0.58  cnf(i_0_43, plain, (add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))))=add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))))), inference(extension_rule, [i_0_36])).
% 1.79/0.58  cnf(i_0_80, plain, (add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))))!=add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))), inference(closure_rule, [i_0_5])).
% 1.79/0.58  cnf(i_0_78, plain, (add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))))=add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))), inference(extension_rule, [i_0_36])).
% 1.79/0.58  cnf(i_0_2360, plain, (add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))=b), inference(extension_rule, [i_0_8])).
% 1.79/0.58  cnf(i_0_2361, plain, (add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))))!=b), inference(extension_rule, [i_0_36])).
% 1.79/0.58  cnf(i_0_2618, plain, (add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))))!=add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b))))), inference(closure_rule, [i_0_5])).
% 1.79/0.58  cnf(i_0_44, plain, (add(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b)))),inverse(add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b))))))!=n0), inference(etableau_closure_rule, [i_0_44, ...])).
% 1.79/0.58  cnf(i_0_2602, plain, (add(add(a,b),c)!=add(a,add(b,c))), inference(etableau_closure_rule, [i_0_2602, ...])).
% 1.79/0.58  cnf(i_0_2603, plain, (add(a,b)!=add(b,a)), inference(etableau_closure_rule, [i_0_2603, ...])).
% 1.79/0.58  cnf(i_0_2619, plain, (add(add(add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))),inverse(add(a,inverse(b)))),inverse(add(inverse(a),inverse(b))))!=b), inference(etableau_closure_rule, [i_0_2619, ...])).
% 1.79/0.58  # End printing tableau
% 1.79/0.58  # SZS output end
% 1.79/0.58  # Branches closed with saturation will be marked with an "s"
% 1.79/0.59  # Child (17969) has found a proof.
% 1.79/0.59  
% 1.79/0.59  # Proof search is over...
% 1.79/0.59  # Freeing feature tree
%------------------------------------------------------------------------------