TSTP Solution File: GRP010-4 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n018.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 : Sat Jul 16 09:03:54 EDT 2022

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n018.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 : Mon Jun 13 06:36:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.39  # No SInE strategy applied
% 0.13/0.39  # Auto-Mode selected heuristic C12_02_nc_SAT001_MinMin_rr
% 0.13/0.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.39  #
% 0.13/0.39  # Presaturation interreduction done
% 0.13/0.39  # Number of axioms: 5 Number of unprocessed: 5
% 0.13/0.39  # Tableaux proof search.
% 0.13/0.39  # APR header successfully linked.
% 0.13/0.39  # Hello from C++
% 0.13/0.39  # The folding up rule is enabled...
% 0.13/0.39  # Local unification is enabled...
% 0.13/0.39  # Any saturation attempts will use folding labels...
% 0.13/0.39  # 5 beginning clauses after preprocessing and clausification
% 0.13/0.39  # Creating start rules for all 1 conjectures.
% 0.13/0.39  # There are 1 start rule candidates:
% 0.13/0.39  # Found 5 unit axioms.
% 0.13/0.39  # 1 start rule tableaux created.
% 0.13/0.39  # 0 extension rule candidate clauses
% 0.13/0.39  # 5 unit axiom clauses
% 0.13/0.39  
% 0.13/0.39  # Requested 8, 32 cores available to the main process.
% 0.13/0.39  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.39  # Creating equality axioms
% 0.13/0.39  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.39  # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.39  # We now have 10 tableaux to operate on
% 0.13/0.40  # There were 1 total branch saturation attempts.
% 0.13/0.40  # There were 0 of these attempts blocked.
% 0.13/0.40  # There were 0 deferred branch saturation attempts.
% 0.13/0.40  # There were 0 free duplicated saturations.
% 0.13/0.40  # There were 1 total successful branch saturations.
% 0.13/0.40  # There were 0 successful branch saturations in interreduction.
% 0.13/0.40  # There were 0 successful branch saturations on the branch.
% 0.13/0.40  # There were 1 successful branch saturations after the branch.
% 0.13/0.40  # There were 1 total branch saturation attempts.
% 0.13/0.40  # There were 0 of these attempts blocked.
% 0.13/0.40  # There were 0 deferred branch saturation attempts.
% 0.13/0.40  # There were 0 free duplicated saturations.
% 0.13/0.40  # There were 1 total successful branch saturations.
% 0.13/0.40  # There were 0 successful branch saturations in interreduction.
% 0.13/0.40  # There were 0 successful branch saturations on the branch.
% 0.13/0.40  # There were 1 successful branch saturations after the branch.
% 0.13/0.40  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # Begin clausification derivation
% 0.13/0.40  
% 0.13/0.40  # End clausification derivation
% 0.13/0.40  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity)).
% 0.13/0.40  cnf(i_0_7, plain, (multiply(identity,X1)=X1)).
% 0.13/0.40  cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.40  cnf(i_0_6, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.40  cnf(i_0_10, negated_conjecture, (multiply(b,c)!=identity)).
% 0.13/0.40  cnf(i_0_12, plain, (X4=X4)).
% 0.13/0.40  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.40  # Begin printing tableau
% 0.13/0.40  # Found 5 steps
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity), inference(start_rule)).
% 0.13/0.40  cnf(i_0_18, plain, (multiply(c,b)=identity), inference(extension_rule, [i_0_17])).
% 0.13/0.40  cnf(i_0_34, plain, (inverse(multiply(c,b))=inverse(identity)), inference(extension_rule, [i_0_15])).
% 0.13/0.40  cnf(i_0_42, plain, (inverse(identity)!=multiply(identity,inverse(identity))), inference(closure_rule, [i_0_7])).
% 0.13/0.40  cnf(i_0_40, plain, (inverse(multiply(c,b))=multiply(identity,inverse(identity))), inference(etableau_closure_rule, [i_0_40, ...])).
% 0.13/0.40  # End printing tableau
% 0.13/0.40  # SZS output end
% 0.13/0.40  # Branches closed with saturation will be marked with an "s"
% 0.13/0.40  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # Begin clausification derivation
% 0.13/0.40  
% 0.13/0.40  # End clausification derivation
% 0.13/0.40  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity)).
% 0.13/0.40  cnf(i_0_7, plain, (multiply(identity,X1)=X1)).
% 0.13/0.40  cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.40  cnf(i_0_6, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.40  cnf(i_0_10, negated_conjecture, (multiply(b,c)!=identity)).
% 0.13/0.40  cnf(i_0_12, plain, (X4=X4)).
% 0.13/0.40  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.40  # Begin printing tableau
% 0.13/0.40  # Found 6 steps
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity), inference(start_rule)).
% 0.13/0.40  cnf(i_0_18, plain, (multiply(c,b)=identity), inference(extension_rule, [i_0_16])).
% 0.13/0.40  cnf(i_0_32, plain, (multiply(c,b)!=identity), inference(closure_rule, [i_0_9])).
% 0.13/0.40  cnf(i_0_31, plain, (multiply(multiply(c,b),multiply(c,b))=multiply(identity,identity)), inference(extension_rule, [i_0_15])).
% 0.13/0.40  cnf(i_0_42, plain, (multiply(identity,identity)!=identity), inference(closure_rule, [i_0_7])).
% 0.13/0.40  cnf(i_0_40, plain, (multiply(multiply(c,b),multiply(c,b))=identity), inference(etableau_closure_rule, [i_0_40, ...])).
% 0.13/0.40  # End printing tableau
% 0.13/0.40  # SZS output end
% 0.13/0.40  # Branches closed with saturation will be marked with an "s"
% 0.13/0.40  # There were 1 total branch saturation attempts.
% 0.13/0.40  # There were 0 of these attempts blocked.
% 0.13/0.40  # There were 0 deferred branch saturation attempts.
% 0.13/0.40  # There were 0 free duplicated saturations.
% 0.13/0.40  # There were 1 total successful branch saturations.
% 0.13/0.40  # There were 0 successful branch saturations in interreduction.
% 0.13/0.40  # There were 0 successful branch saturations on the branch.
% 0.13/0.40  # There were 1 successful branch saturations after the branch.
% 0.13/0.40  # There were 1 total branch saturation attempts.
% 0.13/0.40  # There were 0 of these attempts blocked.
% 0.13/0.40  # There were 0 deferred branch saturation attempts.
% 0.13/0.40  # There were 0 free duplicated saturations.
% 0.13/0.40  # There were 1 total successful branch saturations.
% 0.13/0.40  # There were 0 successful branch saturations in interreduction.
% 0.13/0.40  # There were 0 successful branch saturations on the branch.
% 0.13/0.40  # There were 1 successful branch saturations after the branch.
% 0.13/0.40  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # Begin clausification derivation
% 0.13/0.40  
% 0.13/0.40  # End clausification derivation
% 0.13/0.40  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity)).
% 0.13/0.40  cnf(i_0_7, plain, (multiply(identity,X1)=X1)).
% 0.13/0.40  cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.40  cnf(i_0_6, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.40  cnf(i_0_10, negated_conjecture, (multiply(b,c)!=identity)).
% 0.13/0.40  cnf(i_0_12, plain, (X4=X4)).
% 0.13/0.40  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.40  # Begin printing tableau
% 0.13/0.40  # Found 6 steps
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity), inference(start_rule)).
% 0.13/0.40  cnf(i_0_18, plain, (multiply(c,b)=identity), inference(extension_rule, [i_0_16])).
% 0.13/0.40  cnf(i_0_33, plain, (multiply(c,b)!=identity), inference(closure_rule, [i_0_9])).
% 0.13/0.40  cnf(i_0_31, plain, (multiply(multiply(c,b),multiply(c,b))=multiply(identity,identity)), inference(extension_rule, [i_0_15])).
% 0.13/0.40  cnf(i_0_42, plain, (multiply(identity,identity)!=identity), inference(closure_rule, [i_0_7])).
% 0.13/0.40  cnf(i_0_40, plain, (multiply(multiply(c,b),multiply(c,b))=identity), inference(etableau_closure_rule, [i_0_40, ...])).
% 0.13/0.40  # End printing tableau
% 0.13/0.40  # SZS output end
% 0.13/0.40  # Branches closed with saturation will be marked with an "s"
% 0.13/0.40  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # Begin clausification derivation
% 0.13/0.40  
% 0.13/0.40  # End clausification derivation
% 0.13/0.40  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity)).
% 0.13/0.40  cnf(i_0_7, plain, (multiply(identity,X1)=X1)).
% 0.13/0.40  cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.40  cnf(i_0_6, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.40  cnf(i_0_10, negated_conjecture, (multiply(b,c)!=identity)).
% 0.13/0.40  cnf(i_0_12, plain, (X4=X4)).
% 0.13/0.40  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.40  # Begin printing tableau
% 0.13/0.40  # Found 6 steps
% 0.13/0.40  cnf(i_0_9, hypothesis, (multiply(c,b)=identity), inference(start_rule)).
% 0.13/0.40  cnf(i_0_18, plain, (multiply(c,b)=identity), inference(extension_rule, [i_0_15])).
% 0.13/0.40  cnf(i_0_28, plain, (multiply(b,c)=identity), inference(closure_rule, [i_0_10])).
% 0.13/0.40  cnf(i_0_29, plain, (multiply(b,c)!=multiply(c,b)), inference(extension_rule, [i_0_15])).
% 0.13/0.40  cnf(i_0_41, plain, (multiply(b,c)!=multiply(identity,multiply(b,c))), inference(closure_rule, [i_0_7])).
% 0.13/0.40  cnf(i_0_42, plain, (multiply(identity,multiply(b,c))!=multiply(c,b)), inference(etableau_closure_rule, [i_0_42, ...])).
% 0.13/0.40  # End printing tableau
% 0.13/0.40  # SZS output end
% 0.13/0.40  # Branches closed with saturation will be marked with an "s"
% 0.13/0.40  # Child (26883) has found a proof.
% 0.13/0.40  
% 0.13/0.40  # Proof search is over...
% 0.13/0.40  # Freeing feature tree
%------------------------------------------------------------------------------