TSTP Solution File: GRP123-9.004 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP123-9.004 : 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 : n005.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 09:04:34 EDT 2022
% Result : Satisfiable 0.22s 0.49s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP123-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 13 08:39:39 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.38 # No SInE strategy applied
% 0.15/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.15/0.38 #
% 0.15/0.38 # Presaturation interreduction done
% 0.15/0.38 # Number of axioms: 29 Number of unprocessed: 29
% 0.15/0.38 # Tableaux proof search.
% 0.15/0.38 # APR header successfully linked.
% 0.15/0.38 # Hello from C++
% 0.22/0.49 # The folding up rule is enabled...
% 0.22/0.49 # Local unification is enabled...
% 0.22/0.49 # Any saturation attempts will use folding labels...
% 0.22/0.49 # 29 beginning clauses after preprocessing and clausification
% 0.22/0.49 # Creating start rules for all 1 conjectures.
% 0.22/0.49 # There are 1 start rule candidates:
% 0.22/0.49 # Found 18 unit axioms.
% 0.22/0.49 # 1 start rule tableaux created.
% 0.22/0.49 # 11 extension rule candidate clauses
% 0.22/0.49 # 18 unit axiom clauses
% 0.22/0.49
% 0.22/0.49 # Requested 8, 32 cores available to the main process.
% 0.22/0.49 # There are not enough tableaux to fork, creating more from the initial 1
% 0.22/0.49 # 6494 Satisfiable branch
% 0.22/0.49 # Satisfiable branch found.
% 0.22/0.49 # There were 1 total branch saturation attempts.
% 0.22/0.49 # There were 0 of these attempts blocked.
% 0.22/0.49 # There were 0 deferred branch saturation attempts.
% 0.22/0.49 # There were 0 free duplicated saturations.
% 0.22/0.49 # There were 0 total successful branch saturations.
% 0.22/0.49 # There were 0 successful branch saturations in interreduction.
% 0.22/0.49 # There were 0 successful branch saturations on the branch.
% 0.22/0.49 # There were 0 successful branch saturations after the branch.
% 0.22/0.49 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 # Begin clausification derivation
% 0.22/0.49
% 0.22/0.49 # End clausification derivation
% 0.22/0.49 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.49 cnf(i_0_32, plain, (group_element(e_1))).
% 0.22/0.49 cnf(i_0_33, plain, (group_element(e_2))).
% 0.22/0.49 cnf(i_0_34, plain, (group_element(e_3))).
% 0.22/0.49 cnf(i_0_35, plain, (group_element(e_4))).
% 0.22/0.49 cnf(i_0_52, plain, (product1(X1,X1,X1))).
% 0.22/0.49 cnf(i_0_57, plain, (product2(X1,X1,X1))).
% 0.22/0.49 cnf(i_0_36, plain, (~equalish(e_1,e_2))).
% 0.22/0.49 cnf(i_0_37, plain, (~equalish(e_1,e_3))).
% 0.22/0.49 cnf(i_0_38, plain, (~equalish(e_1,e_4))).
% 0.22/0.49 cnf(i_0_39, plain, (~equalish(e_2,e_1))).
% 0.22/0.49 cnf(i_0_40, plain, (~equalish(e_2,e_3))).
% 0.22/0.49 cnf(i_0_41, plain, (~equalish(e_2,e_4))).
% 0.22/0.49 cnf(i_0_42, plain, (~equalish(e_3,e_1))).
% 0.22/0.49 cnf(i_0_43, plain, (~equalish(e_3,e_2))).
% 0.22/0.49 cnf(i_0_44, plain, (~equalish(e_3,e_4))).
% 0.22/0.49 cnf(i_0_45, plain, (~equalish(e_4,e_1))).
% 0.22/0.49 cnf(i_0_46, plain, (~equalish(e_4,e_2))).
% 0.22/0.49 cnf(i_0_47, plain, (~equalish(e_4,e_3))).
% 0.22/0.49 cnf(i_0_49, plain, (equalish(X1,X2)|~product1(X3,X4,X2)|~product1(X3,X4,X1))).
% 0.22/0.49 cnf(i_0_54, plain, (equalish(X1,X2)|~product2(X3,X4,X2)|~product2(X3,X4,X1))).
% 0.22/0.49 cnf(i_0_50, plain, (equalish(X1,X2)|~product1(X3,X2,X4)|~product1(X3,X1,X4))).
% 0.22/0.49 cnf(i_0_55, plain, (equalish(X1,X2)|~product2(X3,X2,X4)|~product2(X3,X1,X4))).
% 0.22/0.49 cnf(i_0_51, plain, (equalish(X1,X2)|~product1(X2,X3,X4)|~product1(X1,X3,X4))).
% 0.22/0.49 cnf(i_0_56, plain, (equalish(X1,X2)|~product2(X2,X3,X4)|~product2(X1,X3,X4))).
% 0.22/0.49 cnf(i_0_58, negated_conjecture, (product2(X1,X2,X3)|~product1(X4,X3,X1)|~product1(X2,X3,X4))).
% 0.22/0.49 cnf(i_0_48, plain, (product1(X1,X2,e_4)|product1(X1,X2,e_3)|product1(X1,X2,e_2)|product1(X1,X2,e_1)|~group_element(X2)|~group_element(X1))).
% 0.22/0.49 cnf(i_0_53, plain, (product2(X1,X2,e_4)|product2(X1,X2,e_3)|product2(X1,X2,e_2)|product2(X1,X2,e_1)|~group_element(X2)|~group_element(X1))).
% 0.22/0.49 cnf(i_0_31, plain, (product(X1,e_4,X2)|product(X1,e_3,X2)|product(X1,e_2,X2)|product(X1,e_1,X2)|~group_element(X2)|~group_element(X1))).
% 0.22/0.49 cnf(i_0_30, plain, (product(e_4,X1,X2)|product(e_3,X1,X2)|product(e_2,X1,X2)|product(e_1,X1,X2)|~group_element(X2)|~group_element(X1))).
% 0.22/0.49 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.22/0.49 # Begin printing tableau
% 0.22/0.49 # Found 8 steps
% 0.22/0.49 cnf(i_0_58, negated_conjecture, (product2(e_1,e_1,e_1)|~product1(e_1,e_1,e_1)|~product1(e_1,e_1,e_1)), inference(start_rule)).
% 0.22/0.49 cnf(i_0_60, plain, (~product1(e_1,e_1,e_1)), inference(closure_rule, [i_0_52])).
% 0.22/0.49 cnf(i_0_61, plain, (~product1(e_1,e_1,e_1)), inference(closure_rule, [i_0_52])).
% 0.22/0.49 cnf(i_0_59, plain, (product2(e_1,e_1,e_1)), inference(extension_rule, [i_0_56])).
% 0.22/0.49 cnf(i_0_77, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_36])).
% 0.22/0.49 cnf(i_0_78, plain, (~product2(e_2,e_1,e_1)), inference(extension_rule, [i_0_53])).
% 0.22/0.49 cnf(i_0_135, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 0.22/0.49 cnf(i_0_136, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 0.22/0.49 # End printing tableau
% 0.22/0.49 # SZS output end
% 0.22/0.49 # Branches closed with saturation will be marked with an "s"
% 0.22/0.49 # Returning from population with 6 new_tableaux and 0 remaining starting tableaux.
% 0.22/0.49 # We now have 6 tableaux to operate on
% 0.22/0.49 # Found closed tableau during pool population.
% 0.22/0.49 # Proof search is over...
% 0.22/0.49 # Freeing feature tree
%------------------------------------------------------------------------------