TSTP Solution File: BOO012-3 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n027.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 23:38:25 EDT 2022
% Result : Unsatisfiable 240.63s 33.26s
% Output : CNFRefutation 240.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 16:38:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.12/0.36 # and selection function SelectCQIPrecWNTNp.
% 0.12/0.36 #
% 0.12/0.36 # Presaturation interreduction done
% 0.12/0.36 # Number of axioms: 35 Number of unprocessed: 33
% 0.12/0.36 # Tableaux proof search.
% 0.12/0.36 # APR header successfully linked.
% 0.12/0.36 # Hello from C++
% 0.67/0.85 # The folding up rule is enabled...
% 0.67/0.85 # Local unification is enabled...
% 0.67/0.85 # Any saturation attempts will use folding labels...
% 0.67/0.85 # 33 beginning clauses after preprocessing and clausification
% 0.67/0.85 # Creating start rules for all 1 conjectures.
% 0.67/0.85 # There are 1 start rule candidates:
% 0.67/0.85 # Found 17 unit axioms.
% 0.67/0.85 # 1 start rule tableaux created.
% 0.67/0.85 # 16 extension rule candidate clauses
% 0.67/0.85 # 17 unit axiom clauses
% 0.67/0.85
% 0.67/0.85 # Requested 8, 32 cores available to the main process.
% 0.67/0.85 # There are not enough tableaux to fork, creating more from the initial 1
% 3.25/3.41 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 3.25/3.41 # We now have 11 tableaux to operate on
% 240.63/33.26 # There were 67 total branch saturation attempts.
% 240.63/33.26 # There were 7 of these attempts blocked.
% 240.63/33.26 # There were 0 deferred branch saturation attempts.
% 240.63/33.26 # There were 0 free duplicated saturations.
% 240.63/33.26 # There were 7 total successful branch saturations.
% 240.63/33.26 # There were 2 successful branch saturations in interreduction.
% 240.63/33.26 # There were 0 successful branch saturations on the branch.
% 240.63/33.26 # There were 5 successful branch saturations after the branch.
% 240.63/33.26 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 240.63/33.26 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 240.63/33.26 # Begin clausification derivation
% 240.63/33.26
% 240.63/33.26 # End clausification derivation
% 240.63/33.26 # Begin listing active clauses obtained from FOF to CNF conversion
% 240.63/33.26 cnf(i_0_60, plain, (sum(X1,multiplicative_identity,multiplicative_identity))).
% 240.63/33.26 cnf(i_0_61, plain, (product(X1,additive_identity,additive_identity))).
% 240.63/33.26 cnf(i_0_41, plain, (sum(X1,additive_identity,X1))).
% 240.63/33.26 cnf(i_0_43, plain, (product(X1,multiplicative_identity,X1))).
% 240.63/33.26 cnf(i_0_40, plain, (sum(additive_identity,X1,X1))).
% 240.63/33.26 cnf(i_0_42, plain, (product(multiplicative_identity,X1,X1))).
% 240.63/33.26 cnf(i_0_58, plain, (sum(X1,X1,X1))).
% 240.63/33.26 cnf(i_0_59, plain, (product(X1,X1,X1))).
% 240.63/33.26 cnf(i_0_53, plain, (sum(X1,inverse(X1),multiplicative_identity))).
% 240.63/33.26 cnf(i_0_55, plain, (product(X1,inverse(X1),additive_identity))).
% 240.63/33.26 cnf(i_0_52, plain, (sum(inverse(X1),X1,multiplicative_identity))).
% 240.63/33.26 cnf(i_0_54, plain, (product(inverse(X1),X1,additive_identity))).
% 240.63/33.26 cnf(i_0_36, plain, (sum(X1,X2,add(X1,X2)))).
% 240.63/33.26 cnf(i_0_37, plain, (product(X1,X2,multiply(X1,X2)))).
% 240.63/33.26 cnf(i_0_64, plain, (sum(X1,multiply(X1,X2),X1))).
% 240.63/33.26 cnf(i_0_65, plain, (product(X1,add(X1,X2),X1))).
% 240.63/33.26 cnf(i_0_70, negated_conjecture, (inverse(inverse(x))!=x)).
% 240.63/33.26 cnf(i_0_38, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))).
% 240.63/33.26 cnf(i_0_62, plain, (sum(X1,X2,X1)|~product(X1,X3,X2))).
% 240.63/33.26 cnf(i_0_39, plain, (product(X1,X2,X3)|~product(X2,X1,X3))).
% 240.63/33.26 cnf(i_0_63, plain, (product(X1,X2,X1)|~sum(X1,X3,X2))).
% 240.63/33.26 cnf(i_0_56, plain, (X1=X2|~sum(X3,X4,X2)|~sum(X3,X4,X1))).
% 240.63/33.26 cnf(i_0_57, plain, (X1=X2|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 240.63/33.26 cnf(i_0_66, plain, (sum(X1,X2,X3)|~sum(X4,X2,X5)|~sum(X6,X5,X3)|~sum(X6,X4,X1))).
% 240.63/33.26 cnf(i_0_68, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 240.63/33.26 cnf(i_0_51, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X7,X1)|~sum(X7,X2,X5)|~sum(X6,X2,X4))).
% 240.63/33.26 cnf(i_0_44, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X4,X6,X2)|~product(X4,X7,X1)|~sum(X7,X6,X5))).
% 240.63/33.26 cnf(i_0_46, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X7,X5,X1)|~sum(X7,X6,X4))).
% 240.63/33.26 cnf(i_0_49, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X7,X2)|~sum(X1,X7,X5)|~sum(X1,X6,X4))).
% 240.63/33.26 cnf(i_0_47, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X2,X7)|~sum(X7,X5,X3)|~sum(X6,X4,X1))).
% 240.63/33.26 cnf(i_0_50, plain, (product(X1,X2,X3)|~product(X4,X5,X6)|~sum(X6,X7,X3)|~sum(X5,X7,X2)|~sum(X4,X7,X1))).
% 240.63/33.26 cnf(i_0_48, plain, (product(X1,X2,X3)|~product(X4,X5,X6)|~sum(X7,X6,X3)|~sum(X7,X5,X2)|~sum(X7,X4,X1))).
% 240.63/33.26 cnf(i_0_45, plain, (product(X1,X2,X3)|~product(X1,X4,X5)|~product(X1,X6,X7)|~sum(X7,X5,X3)|~sum(X6,X4,X2))).
% 240.63/33.26 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 240.63/33.26 # Begin printing tableau
% 240.63/33.26 # Found 51 steps
% 240.63/33.26 cnf(i_0_70, negated_conjecture, (inverse(inverse(x))!=x), inference(start_rule)).
% 240.63/33.26 cnf(i_0_71, plain, (inverse(inverse(x))!=x), inference(extension_rule, [i_0_57])).
% 240.63/33.26 cnf(i_0_84, plain, (~product(x,multiplicative_identity,x)), inference(closure_rule, [i_0_43])).
% 240.63/33.26 cnf(i_0_85, plain, (~product(x,multiplicative_identity,inverse(inverse(x)))), inference(extension_rule, [i_0_68])).
% 240.63/33.26 cnf(i_0_56286, plain, (~product(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_43])).
% 240.63/33.26 cnf(i_0_56287, plain, (~product(inverse(inverse(x)),multiplicative_identity,inverse(inverse(x)))), inference(closure_rule, [i_0_43])).
% 240.63/33.26 cnf(i_0_56288, plain, (~product(inverse(inverse(x)),multiplicative_identity,x)), inference(extension_rule, [i_0_48])).
% 240.63/33.26 cnf(i_0_571076, plain, (~product(additive_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_571077, plain, (~sum(x,additive_identity,x)), inference(closure_rule, [i_0_41])).
% 240.63/33.26 cnf(i_0_571078, plain, (~sum(x,additive_identity,multiplicative_identity)), inference(extension_rule, [i_0_38])).
% 240.63/33.26 cnf(i_0_845883, plain, (~sum(additive_identity,x,multiplicative_identity)), inference(extension_rule, [i_0_44])).
% 240.63/33.26 cnf(i_0_845893, plain, (~product(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_43])).
% 240.63/33.26 cnf(i_0_845894, plain, (~product(multiplicative_identity,x,x)), inference(closure_rule, [i_0_42])).
% 240.63/33.26 cnf(i_0_845896, plain, (~sum(inverse(x),x,multiplicative_identity)), inference(closure_rule, [i_0_52])).
% 240.63/33.26 cnf(i_0_845895, plain, (~product(multiplicative_identity,inverse(x),additive_identity)), inference(extension_rule, [i_0_48])).
% 240.63/33.26 cnf(i_0_845927, plain, (~product(x,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_845929, plain, (~sum(inverse(x),additive_identity,inverse(x))), inference(extension_rule, [i_0_62])).
% 240.63/33.26 cnf(i_0_1085620, plain, (~product(inverse(x),additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_845930, plain, (~sum(inverse(x),x,multiplicative_identity)), inference(extension_rule, [i_0_38])).
% 240.63/33.26 cnf(i_0_1085651, plain, (~sum(x,inverse(x),multiplicative_identity)), inference(closure_rule, [i_0_53])).
% 240.63/33.26 cnf(i_0_845928, plain, (~sum(inverse(x),additive_identity,additive_identity)), inference(extension_rule, [i_0_46])).
% 240.63/33.26 cnf(i_0_1085687, plain, (~product(multiplicative_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_1085688, plain, (~product(multiplicative_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_1085690, plain, (~sum(additive_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_60])).
% 240.63/33.26 cnf(i_0_571079, plain, (~sum(x,additive_identity,inverse(inverse(x)))), inference(extension_rule, [i_0_49])).
% 240.63/33.26 cnf(i_0_1085727, plain, (~product(multiplicative_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_1085728, plain, (~sum(x,additive_identity,x)), inference(closure_rule, [i_0_41])).
% 240.63/33.26 cnf(i_0_1085729, plain, (~sum(x,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_60])).
% 240.63/33.26 cnf(i_0_1085689, plain, (~product(additive_identity,additive_identity,inverse(x))), inference(etableau_closure_rule, [i_0_1085689, ...])).
% 240.63/33.26 cnf(i_0_1085726, plain, (~product(multiplicative_identity,x,inverse(inverse(x)))), inference(extension_rule, [i_0_47])).
% 240.63/33.26 cnf(i_0_2419068, plain, (~product(multiplicative_identity,x,x)), inference(closure_rule, [i_0_42])).
% 240.63/33.26 cnf(i_0_2419070, plain, (~sum(inverse(inverse(x)),x,inverse(inverse(x)))), inference(extension_rule, [i_0_62])).
% 240.63/33.26 cnf(i_0_2878475, plain, (~product(inverse(inverse(x)),X6,x)), inference(etableau_closure_rule, [i_0_2878475, ...])).
% 240.63/33.26 cnf(i_0_2419071, plain, (~sum(additive_identity,multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_44])).
% 240.63/33.26 cnf(i_0_2906902, plain, (~product(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_43])).
% 240.63/33.26 cnf(i_0_2906904, plain, (~product(multiplicative_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_2906905, plain, (~sum(additive_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_60])).
% 240.63/33.26 cnf(i_0_2906903, plain, (~product(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_48])).
% 240.63/33.26 cnf(i_0_2966699, plain, (~product(multiplicative_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_2966700, plain, (~sum(multiplicative_identity,additive_identity,multiplicative_identity)), inference(closure_rule, [i_0_41])).
% 240.63/33.26 cnf(i_0_2966701, plain, (~sum(multiplicative_identity,additive_identity,multiplicative_identity)), inference(closure_rule, [i_0_41])).
% 240.63/33.26 cnf(i_0_2966702, plain, (~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_60])).
% 240.63/33.26 cnf(i_0_2419069, plain, (~product(additive_identity,x,inverse(inverse(x)))), inference(extension_rule, [i_0_50])).
% 240.63/33.26 cnf(i_0_2966731, plain, (~product(additive_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_2966732, plain, (~sum(additive_identity,inverse(inverse(x)),inverse(inverse(x)))), inference(closure_rule, [i_0_40])).
% 240.63/33.26 cnf(i_0_2966733, plain, (~sum(additive_identity,inverse(inverse(x)),x)), inference(etableau_closure_rule, [i_0_2966733, ...])).
% 240.63/33.26 cnf(i_0_2966734, plain, (~sum(additive_identity,inverse(inverse(x)),additive_identity)), inference(extension_rule, [i_0_46])).
% 240.63/33.26 cnf(i_0_3185481, plain, (~product(multiplicative_identity,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_3185483, plain, (~product(X9,additive_identity,additive_identity)), inference(closure_rule, [i_0_61])).
% 240.63/33.26 cnf(i_0_3185484, plain, (~sum(X9,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_60])).
% 240.63/33.26 cnf(i_0_3185482, plain, (~product(multiplicative_identity,additive_identity,inverse(inverse(x)))), inference(etableau_closure_rule, [i_0_3185482, ...])).
% 240.63/33.26 # End printing tableau
% 240.63/33.26 # SZS output end
% 240.63/33.26 # Branches closed with saturation will be marked with an "s"
% 240.63/33.27 # Child (28629) has found a proof.
% 240.63/33.27
% 240.63/33.27 # Proof search is over...
% 240.63/33.27 # Freeing feature tree
%------------------------------------------------------------------------------