TSTP Solution File: RNG020-7 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : RNG020-7 : 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 : n032.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 20:27:06 EDT 2022

% Result   : Unsatisfiable 0.13s 0.33s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon May 30 07:34:57 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.09/0.31  # No SInE strategy applied
% 0.09/0.31  # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.09/0.31  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.09/0.31  #
% 0.09/0.31  # Presaturation interreduction done
% 0.09/0.31  # Number of axioms: 21 Number of unprocessed: 17
% 0.09/0.31  # Tableaux proof search.
% 0.09/0.31  # APR header successfully linked.
% 0.09/0.31  # Hello from C++
% 0.09/0.31  # The folding up rule is enabled...
% 0.09/0.31  # Local unification is enabled...
% 0.09/0.31  # Any saturation attempts will use folding labels...
% 0.09/0.31  # 17 beginning clauses after preprocessing and clausification
% 0.09/0.31  # Creating start rules for all 1 conjectures.
% 0.09/0.31  # There are 1 start rule candidates:
% 0.09/0.31  # Found 17 unit axioms.
% 0.09/0.31  # 1 start rule tableaux created.
% 0.09/0.31  # 0 extension rule candidate clauses
% 0.09/0.31  # 17 unit axiom clauses
% 0.09/0.31  
% 0.09/0.31  # Requested 8, 32 cores available to the main process.
% 0.09/0.31  # There are not enough tableaux to fork, creating more from the initial 1
% 0.09/0.31  # Creating equality axioms
% 0.09/0.31  # Ran out of tableaux, making start rules for all clauses
% 0.09/0.31  # Returning from population with 23 new_tableaux and 0 remaining starting tableaux.
% 0.09/0.31  # We now have 23 tableaux to operate on
% 0.13/0.33  # There were 1 total branch saturation attempts.
% 0.13/0.33  # There were 0 of these attempts blocked.
% 0.13/0.33  # There were 0 deferred branch saturation attempts.
% 0.13/0.33  # There were 0 free duplicated saturations.
% 0.13/0.33  # There were 1 total successful branch saturations.
% 0.13/0.33  # There were 0 successful branch saturations in interreduction.
% 0.13/0.33  # There were 0 successful branch saturations on the branch.
% 0.13/0.33  # There were 1 successful branch saturations after the branch.
% 0.13/0.33  # There were 1 total branch saturation attempts.
% 0.13/0.33  # There were 0 of these attempts blocked.
% 0.13/0.33  # There were 0 deferred branch saturation attempts.
% 0.13/0.33  # There were 0 free duplicated saturations.
% 0.13/0.33  # There were 1 total successful branch saturations.
% 0.13/0.33  # There were 0 successful branch saturations in interreduction.
% 0.13/0.33  # There were 0 successful branch saturations on the branch.
% 0.13/0.33  # There were 1 successful branch saturations after the branch.
% 0.13/0.33  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  # Begin clausification derivation
% 0.13/0.33  
% 0.13/0.33  # End clausification derivation
% 0.13/0.33  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.33  cnf(i_0_30, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.13/0.33  cnf(i_0_27, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.13/0.33  cnf(i_0_26, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.13/0.33  cnf(i_0_25, plain, (add(X1,additive_identity)=X1)).
% 0.13/0.33  cnf(i_0_24, plain, (add(additive_identity,X1)=X1)).
% 0.13/0.33  cnf(i_0_29, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.13/0.33  cnf(i_0_41, plain, (additive_inverse(multiply(X1,X2))=multiply(X1,additive_inverse(X2)))).
% 0.13/0.33  cnf(i_0_40, plain, (multiply(additive_inverse(X1),X2)=multiply(X1,additive_inverse(X2)))).
% 0.13/0.33  cnf(i_0_34, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.13/0.33  cnf(i_0_35, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.13/0.33  cnf(i_0_36, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.13/0.33  cnf(i_0_31, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.13/0.33  cnf(i_0_32, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.13/0.33  cnf(i_0_43, plain, (add(multiply(X1,X2),multiply(X3,additive_inverse(X2)))=multiply(add(X1,additive_inverse(X3)),X2))).
% 0.13/0.33  cnf(i_0_44, plain, (multiply(X1,add(additive_inverse(X2),additive_inverse(X3)))=multiply(X1,additive_inverse(add(X2,X3))))).
% 0.13/0.33  cnf(i_0_33, plain, (add(X1,X2)=add(X2,X1))).
% 0.13/0.33  cnf(i_0_46, negated_conjecture, (add(multiply(multiply(x,u),y),add(multiply(x,multiply(u,additive_inverse(y))),add(multiply(multiply(x,v),y),multiply(x,multiply(v,additive_inverse(y))))))!=add(multiply(multiply(x,add(u,v)),y),multiply(x,multiply(add(u,v),additive_inverse(y)))))).
% 0.13/0.33  cnf(i_0_48, plain, (X4=X4)).
% 0.13/0.33  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.33  # Begin printing tableau
% 0.13/0.33  # Found 6 steps
% 0.13/0.33  cnf(i_0_30, plain, (additive_inverse(additive_inverse(X3))=X3), inference(start_rule)).
% 0.13/0.33  cnf(i_0_55, plain, (additive_inverse(additive_inverse(X3))=X3), inference(extension_rule, [i_0_52])).
% 0.13/0.33  cnf(i_0_82, plain, (additive_inverse(additive_inverse(X5))!=X5), inference(closure_rule, [i_0_30])).
% 0.13/0.33  cnf(i_0_80, plain, (add(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=add(X3,X5)), inference(extension_rule, [i_0_51])).
% 0.13/0.33  cnf(i_0_94, plain, (add(X3,X5)!=additive_inverse(additive_inverse(add(X3,X5)))), inference(closure_rule, [i_0_30])).
% 0.13/0.33  cnf(i_0_92, plain, (add(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=additive_inverse(additive_inverse(add(X3,X5)))), inference(etableau_closure_rule, [i_0_92, ...])).
% 0.13/0.33  # End printing tableau
% 0.13/0.33  # SZS output end
% 0.13/0.33  # Branches closed with saturation will be marked with an "s"
% 0.13/0.33  # There were 1 total branch saturation attempts.
% 0.13/0.33  # There were 0 of these attempts blocked.
% 0.13/0.33  # There were 0 deferred branch saturation attempts.
% 0.13/0.33  # There were 0 free duplicated saturations.
% 0.13/0.33  # There were 1 total successful branch saturations.
% 0.13/0.33  # There were 0 successful branch saturations in interreduction.
% 0.13/0.33  # There were 0 successful branch saturations on the branch.
% 0.13/0.33  # There were 1 successful branch saturations after the branch.
% 0.13/0.33  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  # Begin clausification derivation
% 0.13/0.33  
% 0.13/0.33  # End clausification derivation
% 0.13/0.33  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.33  cnf(i_0_30, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.13/0.33  cnf(i_0_27, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.13/0.33  cnf(i_0_26, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.13/0.33  cnf(i_0_25, plain, (add(X1,additive_identity)=X1)).
% 0.13/0.33  cnf(i_0_24, plain, (add(additive_identity,X1)=X1)).
% 0.13/0.33  cnf(i_0_29, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.13/0.33  cnf(i_0_41, plain, (additive_inverse(multiply(X1,X2))=multiply(X1,additive_inverse(X2)))).
% 0.13/0.33  cnf(i_0_40, plain, (multiply(additive_inverse(X1),X2)=multiply(X1,additive_inverse(X2)))).
% 0.13/0.33  cnf(i_0_34, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.13/0.33  cnf(i_0_35, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.13/0.33  cnf(i_0_36, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.13/0.33  cnf(i_0_31, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.13/0.33  cnf(i_0_32, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.13/0.33  cnf(i_0_43, plain, (add(multiply(X1,X2),multiply(X3,additive_inverse(X2)))=multiply(add(X1,additive_inverse(X3)),X2))).
% 0.13/0.33  cnf(i_0_44, plain, (multiply(X1,add(additive_inverse(X2),additive_inverse(X3)))=multiply(X1,additive_inverse(add(X2,X3))))).
% 0.13/0.33  cnf(i_0_33, plain, (add(X1,X2)=add(X2,X1))).
% 0.13/0.33  cnf(i_0_46, negated_conjecture, (add(multiply(multiply(x,u),y),add(multiply(x,multiply(u,additive_inverse(y))),add(multiply(multiply(x,v),y),multiply(x,multiply(v,additive_inverse(y))))))!=add(multiply(multiply(x,add(u,v)),y),multiply(x,multiply(add(u,v),additive_inverse(y)))))).
% 0.13/0.33  cnf(i_0_48, plain, (X4=X4)).
% 0.13/0.33  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.33  # Begin printing tableau
% 0.13/0.33  # Found 6 steps
% 0.13/0.33  cnf(i_0_30, plain, (additive_inverse(additive_inverse(X5))=X5), inference(start_rule)).
% 0.13/0.33  cnf(i_0_55, plain, (additive_inverse(additive_inverse(X5))=X5), inference(extension_rule, [i_0_53])).
% 0.13/0.33  cnf(i_0_84, plain, (additive_inverse(additive_inverse(X3))!=X3), inference(closure_rule, [i_0_30])).
% 0.13/0.33  cnf(i_0_83, plain, (multiply(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=multiply(X3,X5)), inference(extension_rule, [i_0_51])).
% 0.13/0.33  cnf(i_0_94, plain, (multiply(X3,X5)!=additive_inverse(additive_inverse(multiply(X3,X5)))), inference(closure_rule, [i_0_30])).
% 0.13/0.33  cnf(i_0_92, plain, (multiply(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=additive_inverse(additive_inverse(multiply(X3,X5)))), inference(etableau_closure_rule, [i_0_92, ...])).
% 0.13/0.33  # End printing tableau
% 0.13/0.33  # SZS output end
% 0.13/0.33  # Branches closed with saturation will be marked with an "s"
% 0.13/0.33  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  # Begin clausification derivation
% 0.13/0.33  
% 0.13/0.33  # End clausification derivation
% 0.13/0.33  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.33  cnf(i_0_30, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.13/0.33  cnf(i_0_27, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.13/0.33  cnf(i_0_26, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.13/0.33  cnf(i_0_25, plain, (add(X1,additive_identity)=X1)).
% 0.13/0.33  cnf(i_0_24, plain, (add(additive_identity,X1)=X1)).
% 0.13/0.33  cnf(i_0_29, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.13/0.33  cnf(i_0_41, plain, (additive_inverse(multiply(X1,X2))=multiply(X1,additive_inverse(X2)))).
% 0.13/0.33  cnf(i_0_40, plain, (multiply(additive_inverse(X1),X2)=multiply(X1,additive_inverse(X2)))).
% 0.13/0.33  cnf(i_0_34, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.13/0.33  cnf(i_0_35, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.13/0.33  cnf(i_0_36, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.13/0.33  cnf(i_0_31, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.13/0.33  cnf(i_0_32, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.13/0.33  cnf(i_0_43, plain, (add(multiply(X1,X2),multiply(X3,additive_inverse(X2)))=multiply(add(X1,additive_inverse(X3)),X2))).
% 0.13/0.33  cnf(i_0_44, plain, (multiply(X1,add(additive_inverse(X2),additive_inverse(X3)))=multiply(X1,additive_inverse(add(X2,X3))))).
% 0.13/0.33  cnf(i_0_33, plain, (add(X1,X2)=add(X2,X1))).
% 0.13/0.33  cnf(i_0_46, negated_conjecture, (add(multiply(multiply(x,u),y),add(multiply(x,multiply(u,additive_inverse(y))),add(multiply(multiply(x,v),y),multiply(x,multiply(v,additive_inverse(y))))))!=add(multiply(multiply(x,add(u,v)),y),multiply(x,multiply(add(u,v),additive_inverse(y)))))).
% 0.13/0.33  cnf(i_0_48, plain, (X4=X4)).
% 0.13/0.33  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.33  # Begin printing tableau
% 0.13/0.33  # Found 6 steps
% 0.13/0.33  cnf(i_0_27, plain, (multiply(additive_identity,additive_identity)=additive_identity), inference(start_rule)).
% 0.13/0.33  cnf(i_0_56, plain, (multiply(additive_identity,additive_identity)=additive_identity), inference(extension_rule, [i_0_51])).
% 0.13/0.33  cnf(i_0_94, plain, (additive_inverse(additive_inverse(additive_identity))!=additive_identity), inference(closure_rule, [i_0_30])).
% 0.13/0.33  cnf(i_0_92, plain, (multiply(additive_identity,additive_identity)=additive_inverse(additive_inverse(additive_identity))), inference(extension_rule, [i_0_52])).
% 0.13/0.33  cnf(i_0_101, plain, (additive_inverse(additive_inverse(X4))!=X4), inference(closure_rule, [i_0_30])).
% 0.13/0.33  cnf(i_0_99, plain, (add(multiply(additive_identity,additive_identity),additive_inverse(additive_inverse(X4)))=add(additive_inverse(additive_inverse(additive_identity)),X4)), inference(etableau_closure_rule, [i_0_99, ...])).
% 0.13/0.33  # End printing tableau
% 0.13/0.33  # SZS output end
% 0.13/0.33  # Branches closed with saturation will be marked with an "s"
% 0.13/0.33  # Child (7874) has found a proof.
% 0.13/0.33  
% 0.13/0.33  # Proof search is over...
% 0.13/0.33  # Freeing feature tree
%------------------------------------------------------------------------------