TSTP Solution File: GRP001+6 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 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 09:03:50 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 14:45:12 EDT 2022
% 0.13/0.35 % 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_RG_S04AN
% 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37 #
% 0.13/0.37 # Presaturation interreduction done
% 0.13/0.37 # Number of axioms: 10 Number of unprocessed: 10
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.38 # The folding up rule is enabled...
% 0.13/0.38 # Local unification is enabled...
% 0.13/0.38 # Any saturation attempts will use folding labels...
% 0.13/0.38 # 10 beginning clauses after preprocessing and clausification
% 0.13/0.38 # Creating start rules for all 10 conjectures.
% 0.13/0.38 # There are 10 start rule candidates:
% 0.13/0.38 # Found 8 unit axioms.
% 0.13/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38 # 10 start rule tableaux created.
% 0.13/0.38 # 2 extension rule candidate clauses
% 0.13/0.38 # 8 unit axiom clauses
% 0.13/0.38
% 0.13/0.38 # Requested 8, 32 cores available to the main process.
% 0.13/0.38 # There were 1 total branch saturation attempts.
% 0.13/0.38 # There were 0 of these attempts blocked.
% 0.13/0.38 # There were 0 deferred branch saturation attempts.
% 0.13/0.38 # There were 0 free duplicated saturations.
% 0.13/0.38 # There were 1 total successful branch saturations.
% 0.13/0.38 # There were 0 successful branch saturations in interreduction.
% 0.13/0.38 # There were 0 successful branch saturations on the branch.
% 0.13/0.38 # There were 1 successful branch saturations after the branch.
% 0.13/0.38 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # Begin clausification derivation
% 0.13/0.38
% 0.13/0.38 # End clausification derivation
% 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38 cnf(i_0_2, negated_conjecture, (product(esk3_0,esk4_0,esk5_0))).
% 0.13/0.38 cnf(i_0_3, negated_conjecture, (product(X1,X1,esk1_0))).
% 0.13/0.38 cnf(i_0_7, negated_conjecture, (product(X1,esk1_0,X1))).
% 0.13/0.38 cnf(i_0_6, negated_conjecture, (product(esk1_0,X1,X1))).
% 0.13/0.38 cnf(i_0_5, negated_conjecture, (product(X1,inverse(X1),esk1_0))).
% 0.13/0.38 cnf(i_0_4, negated_conjecture, (product(inverse(X1),X1,esk1_0))).
% 0.13/0.38 cnf(i_0_10, negated_conjecture, (product(X1,X2,esk2_2(X1,X2)))).
% 0.13/0.38 cnf(i_0_1, negated_conjecture, (~product(esk4_0,esk3_0,esk5_0))).
% 0.13/0.38 cnf(i_0_8, negated_conjecture, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 0.13/0.38 cnf(i_0_9, negated_conjecture, (product(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X1,X6,X4))).
% 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.38 # Begin printing tableau
% 0.13/0.38 # Found 11 steps
% 0.13/0.38 cnf(i_0_9, negated_conjecture, (product(esk4_0,esk3_0,esk5_0)|~product(esk1_0,esk5_0,esk5_0)|~product(inverse(esk4_0),esk5_0,esk3_0)|~product(esk4_0,inverse(esk4_0),esk1_0)), inference(start_rule)).
% 0.13/0.38 cnf(i_0_11, plain, (product(esk4_0,esk3_0,esk5_0)), inference(closure_rule, [i_0_1])).
% 0.13/0.38 cnf(i_0_12, plain, (~product(esk1_0,esk5_0,esk5_0)), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_14, plain, (~product(esk4_0,inverse(esk4_0),esk1_0)), inference(closure_rule, [i_0_5])).
% 0.13/0.38 cnf(i_0_13, plain, (~product(inverse(esk4_0),esk5_0,esk3_0)), inference(extension_rule, [i_0_9])).
% 0.13/0.38 cnf(i_0_28, plain, (~product(esk1_0,esk3_0,esk3_0)), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_30, plain, (~product(inverse(esk4_0),esk4_0,esk1_0)), inference(closure_rule, [i_0_4])).
% 0.13/0.38 cnf(i_0_29, plain, (~product(esk4_0,esk3_0,esk5_0)), inference(extension_rule, [i_0_8])).
% 0.13/0.38 cnf(i_0_32, plain, (~product(esk4_0,esk3_0,esk2_2(esk4_0,esk3_0))), inference(closure_rule, [i_0_10])).
% 0.13/0.38 cnf(i_0_34, plain, (~product(esk1_0,esk4_0,esk4_0)), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_33, plain, (~product(esk1_0,esk2_2(esk4_0,esk3_0),esk5_0)), inference(etableau_closure_rule, [i_0_33, ...])).
% 0.13/0.38 # End printing tableau
% 0.13/0.38 # SZS output end
% 0.13/0.38 # Branches closed with saturation will be marked with an "s"
% 0.13/0.38 # There were 1 total branch saturation attempts.
% 0.13/0.38 # There were 0 of these attempts blocked.
% 0.13/0.38 # There were 0 deferred branch saturation attempts.
% 0.13/0.38 # There were 0 free duplicated saturations.
% 0.13/0.38 # There were 1 total successful branch saturations.
% 0.13/0.38 # There were 0 successful branch saturations in interreduction.
% 0.13/0.38 # There were 0 successful branch saturations on the branch.
% 0.13/0.38 # There were 1 successful branch saturations after the branch.
% 0.13/0.38 # There were 1 total branch saturation attempts.
% 0.13/0.38 # There were 0 of these attempts blocked.
% 0.13/0.38 # There were 0 deferred branch saturation attempts.
% 0.13/0.38 # There were 0 free duplicated saturations.
% 0.13/0.38 # There were 1 total successful branch saturations.
% 0.13/0.38 # There were 0 successful branch saturations in interreduction.
% 0.13/0.38 # There were 0 successful branch saturations on the branch.
% 0.13/0.38 # There were 1 successful branch saturations after the branch.
% 0.13/0.38 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # Begin clausification derivation
% 0.13/0.38
% 0.13/0.38 # End clausification derivation
% 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38 cnf(i_0_2, negated_conjecture, (product(esk3_0,esk4_0,esk5_0))).
% 0.13/0.38 cnf(i_0_3, negated_conjecture, (product(X1,X1,esk1_0))).
% 0.13/0.38 cnf(i_0_7, negated_conjecture, (product(X1,esk1_0,X1))).
% 0.13/0.38 cnf(i_0_6, negated_conjecture, (product(esk1_0,X1,X1))).
% 0.13/0.38 cnf(i_0_5, negated_conjecture, (product(X1,inverse(X1),esk1_0))).
% 0.13/0.38 cnf(i_0_4, negated_conjecture, (product(inverse(X1),X1,esk1_0))).
% 0.13/0.38 cnf(i_0_10, negated_conjecture, (product(X1,X2,esk2_2(X1,X2)))).
% 0.13/0.38 cnf(i_0_1, negated_conjecture, (~product(esk4_0,esk3_0,esk5_0))).
% 0.13/0.38 cnf(i_0_8, negated_conjecture, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 0.13/0.38 cnf(i_0_9, negated_conjecture, (product(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X1,X6,X4))).
% 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.38 # Begin printing tableau
% 0.13/0.38 # Found 11 steps
% 0.13/0.38 cnf(i_0_8, negated_conjecture, (product(esk4_0,esk3_0,esk5_0)|~product(esk4_0,esk3_0,esk2_2(esk4_0,esk3_0))|~product(esk1_0,esk2_2(esk4_0,esk3_0),esk5_0)|~product(esk1_0,esk4_0,esk4_0)), inference(start_rule)).
% 0.13/0.38 cnf(i_0_15, plain, (product(esk4_0,esk3_0,esk5_0)), inference(closure_rule, [i_0_1])).
% 0.13/0.38 cnf(i_0_16, plain, (~product(esk4_0,esk3_0,esk2_2(esk4_0,esk3_0))), inference(closure_rule, [i_0_10])).
% 0.13/0.38 cnf(i_0_18, plain, (~product(esk1_0,esk4_0,esk4_0)), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_17, plain, (~product(esk1_0,esk2_2(esk4_0,esk3_0),esk5_0)), inference(extension_rule, [i_0_9])).
% 0.13/0.38 cnf(i_0_28, plain, (~product(esk1_0,esk5_0,esk5_0)), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_30, plain, (~product(esk1_0,inverse(esk1_0),esk1_0)), inference(closure_rule, [i_0_5])).
% 0.13/0.38 cnf(i_0_29, plain, (~product(inverse(esk1_0),esk5_0,esk2_2(esk4_0,esk3_0))), inference(extension_rule, [i_0_8])).
% 0.13/0.38 cnf(i_0_32, plain, (~product(inverse(esk1_0),esk5_0,esk2_2(inverse(esk1_0),esk5_0))), inference(closure_rule, [i_0_10])).
% 0.13/0.38 cnf(i_0_34, plain, (~product(esk1_0,inverse(esk1_0),inverse(esk1_0))), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_33, plain, (~product(esk1_0,esk2_2(inverse(esk1_0),esk5_0),esk2_2(esk4_0,esk3_0))), inference(etableau_closure_rule, [i_0_33, ...])).
% 0.13/0.38 # End printing tableau
% 0.13/0.38 # SZS output end
% 0.13/0.38 # Branches closed with saturation will be marked with an "s"
% 0.13/0.38 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 # Begin clausification derivation
% 0.13/0.38
% 0.13/0.38 # End clausification derivation
% 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38 cnf(i_0_2, negated_conjecture, (product(esk3_0,esk4_0,esk5_0))).
% 0.13/0.38 cnf(i_0_3, negated_conjecture, (product(X1,X1,esk1_0))).
% 0.13/0.38 cnf(i_0_7, negated_conjecture, (product(X1,esk1_0,X1))).
% 0.13/0.38 cnf(i_0_6, negated_conjecture, (product(esk1_0,X1,X1))).
% 0.13/0.38 cnf(i_0_5, negated_conjecture, (product(X1,inverse(X1),esk1_0))).
% 0.13/0.38 cnf(i_0_4, negated_conjecture, (product(inverse(X1),X1,esk1_0))).
% 0.13/0.38 cnf(i_0_10, negated_conjecture, (product(X1,X2,esk2_2(X1,X2)))).
% 0.13/0.38 cnf(i_0_1, negated_conjecture, (~product(esk4_0,esk3_0,esk5_0))).
% 0.13/0.38 cnf(i_0_8, negated_conjecture, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 0.13/0.38 cnf(i_0_9, negated_conjecture, (product(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X1,X6,X4))).
% 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.38 # Begin printing tableau
% 0.13/0.38 # Found 8 steps
% 0.13/0.38 cnf(i_0_1, negated_conjecture, (~product(esk4_0,esk3_0,esk5_0)), inference(start_rule)).
% 0.13/0.38 cnf(i_0_19, plain, (~product(esk4_0,esk3_0,esk5_0)), inference(extension_rule, [i_0_9])).
% 0.13/0.38 cnf(i_0_28, plain, (~product(esk1_0,esk5_0,esk5_0)), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_30, plain, (~product(esk4_0,inverse(esk4_0),esk1_0)), inference(closure_rule, [i_0_5])).
% 0.13/0.38 cnf(i_0_29, plain, (~product(inverse(esk4_0),esk5_0,esk3_0)), inference(extension_rule, [i_0_8])).
% 0.13/0.38 cnf(i_0_32, plain, (~product(inverse(esk4_0),esk5_0,esk2_2(inverse(esk4_0),esk5_0))), inference(closure_rule, [i_0_10])).
% 0.13/0.38 cnf(i_0_34, plain, (~product(esk1_0,inverse(esk4_0),inverse(esk4_0))), inference(closure_rule, [i_0_6])).
% 0.13/0.38 cnf(i_0_33, plain, (~product(esk1_0,esk2_2(inverse(esk4_0),esk5_0),esk3_0)), inference(etableau_closure_rule, [i_0_33, ...])).
% 0.13/0.38 # End printing tableau
% 0.13/0.38 # SZS output end
% 0.13/0.38 # Branches closed with saturation will be marked with an "s"
% 0.13/0.38 # Child (32697) has found a proof.
% 0.13/0.38
% 0.13/0.38 # Proof search is over...
% 0.13/0.38 # Freeing feature tree
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