TSTP Solution File: FLD034-3 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n019.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 02:06:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n019.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 : Tue Jun 7 04:23:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 # No SInE strategy applied
% 0.19/0.36 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.19/0.36 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.19/0.36 #
% 0.19/0.36 # Presaturation interreduction done
% 0.19/0.36 # Number of axioms: 30 Number of unprocessed: 30
% 0.19/0.36 # Tableaux proof search.
% 0.19/0.36 # APR header successfully linked.
% 0.19/0.36 # Hello from C++
% 0.19/0.36 # The folding up rule is enabled...
% 0.19/0.36 # Local unification is enabled...
% 0.19/0.36 # Any saturation attempts will use folding labels...
% 0.19/0.36 # 30 beginning clauses after preprocessing and clausification
% 0.19/0.36 # Creating start rules for all 2 conjectures.
% 0.19/0.36 # There are 2 start rule candidates:
% 0.19/0.36 # Found 7 unit axioms.
% 0.19/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.36 # 2 start rule tableaux created.
% 0.19/0.36 # 23 extension rule candidate clauses
% 0.19/0.36 # 7 unit axiom clauses
% 0.19/0.36
% 0.19/0.36 # Requested 8, 32 cores available to the main process.
% 0.19/0.36 # There are not enough tableaux to fork, creating more from the initial 2
% 0.19/0.36 # Returning from population with 17 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.36 # We now have 17 tableaux to operate on
% 0.19/0.41 # There were 3 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 3 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 3 successful branch saturations after the branch.
% 0.19/0.41 # There were 3 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 3 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 3 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_47, plain, (defined(multiplicative_identity))).
% 0.19/0.41 cnf(i_0_59, negated_conjecture, (product(multiplicative_identity,m,multiplicative_identity))).
% 0.19/0.41 cnf(i_0_57, hypothesis, (defined(a))).
% 0.19/0.41 cnf(i_0_58, hypothesis, (defined(m))).
% 0.19/0.41 cnf(i_0_44, plain, (defined(additive_identity))).
% 0.19/0.41 cnf(i_0_60, negated_conjecture, (~product(m,a,a))).
% 0.19/0.41 cnf(i_0_56, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))).
% 0.19/0.41 cnf(i_0_45, plain, (defined(additive_inverse(X1))|~defined(X1))).
% 0.19/0.41 cnf(i_0_33, plain, (sum(additive_identity,X1,X1)|~defined(X1))).
% 0.19/0.41 cnf(i_0_38, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))).
% 0.19/0.41 cnf(i_0_43, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_46, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_40, plain, (product(X1,X2,X3)|~product(X2,X1,X3))).
% 0.19/0.41 cnf(i_0_34, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))).
% 0.19/0.41 cnf(i_0_48, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))).
% 0.19/0.41 cnf(i_0_35, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))).
% 0.19/0.41 cnf(i_0_53, plain, (less_or_equal(X1,X2)|less_or_equal(X2,X1)|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_51, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))).
% 0.19/0.41 cnf(i_0_52, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))).
% 0.19/0.41 cnf(i_0_49, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_50, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_54, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))).
% 0.19/0.41 cnf(i_0_39, plain, (product(multiplicative_inverse(X1),X1,multiplicative_identity)|sum(additive_identity,X1,additive_identity)|~defined(X1))).
% 0.19/0.41 cnf(i_0_55, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X2)|~less_or_equal(additive_identity,X3)|~product(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_36, plain, (product(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X1,X6,X4))).
% 0.19/0.41 cnf(i_0_37, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 0.19/0.41 cnf(i_0_31, plain, (sum(X1,X2,X3)|~sum(X4,X5,X3)|~sum(X6,X5,X2)|~sum(X1,X6,X4))).
% 0.19/0.41 cnf(i_0_32, plain, (sum(X1,X2,X3)|~sum(X4,X2,X5)|~sum(X6,X5,X3)|~sum(X6,X4,X1))).
% 0.19/0.41 cnf(i_0_41, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X7,X5,X1)|~sum(X7,X6,X4))).
% 0.19/0.41 cnf(i_0_42, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X2,X7)|~sum(X7,X5,X3)|~sum(X6,X4,X1))).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 9 steps
% 0.19/0.41 cnf(i_0_59, negated_conjecture, (product(multiplicative_identity,m,multiplicative_identity)), inference(start_rule)).
% 0.19/0.41 cnf(i_0_62, plain, (product(multiplicative_identity,m,multiplicative_identity)), inference(extension_rule, [i_0_41])).
% 0.19/0.41 cnf(i_0_202, plain, (~product(multiplicative_identity,m,multiplicative_identity)), inference(closure_rule, [i_0_59])).
% 0.19/0.41 cnf(i_0_203, plain, (~product(multiplicative_identity,m,multiplicative_identity)), inference(closure_rule, [i_0_59])).
% 0.19/0.41 cnf(i_0_201, plain, (sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_54])).
% 0.19/0.41 cnf(i_0_251, plain, (~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_201])).
% 0.19/0.41 cnf(i_0_205, plain, (~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(etableau_closure_rule, [i_0_205, ...])).
% 0.19/0.41 cnf(i_0_248, plain, (less_or_equal(multiplicative_identity,multiplicative_identity)), inference(etableau_closure_rule, [i_0_248, ...])).
% 0.19/0.41 cnf(i_0_249, plain, (~less_or_equal(multiplicative_identity,multiplicative_identity)), inference(etableau_closure_rule, [i_0_249, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_47, plain, (defined(multiplicative_identity))).
% 0.19/0.41 cnf(i_0_59, negated_conjecture, (product(multiplicative_identity,m,multiplicative_identity))).
% 0.19/0.41 cnf(i_0_57, hypothesis, (defined(a))).
% 0.19/0.41 cnf(i_0_58, hypothesis, (defined(m))).
% 0.19/0.41 cnf(i_0_44, plain, (defined(additive_identity))).
% 0.19/0.41 cnf(i_0_60, negated_conjecture, (~product(m,a,a))).
% 0.19/0.41 cnf(i_0_56, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))).
% 0.19/0.41 cnf(i_0_45, plain, (defined(additive_inverse(X1))|~defined(X1))).
% 0.19/0.41 cnf(i_0_33, plain, (sum(additive_identity,X1,X1)|~defined(X1))).
% 0.19/0.41 cnf(i_0_38, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))).
% 0.19/0.41 cnf(i_0_43, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_46, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_40, plain, (product(X1,X2,X3)|~product(X2,X1,X3))).
% 0.19/0.41 cnf(i_0_34, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))).
% 0.19/0.41 cnf(i_0_48, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))).
% 0.19/0.41 cnf(i_0_35, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))).
% 0.19/0.41 cnf(i_0_53, plain, (less_or_equal(X1,X2)|less_or_equal(X2,X1)|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_51, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))).
% 0.19/0.41 cnf(i_0_52, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))).
% 0.19/0.41 cnf(i_0_49, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_50, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.19/0.41 cnf(i_0_54, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))).
% 0.19/0.41 cnf(i_0_39, plain, (product(multiplicative_inverse(X1),X1,multiplicative_identity)|sum(additive_identity,X1,additive_identity)|~defined(X1))).
% 0.19/0.41 cnf(i_0_55, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X2)|~less_or_equal(additive_identity,X3)|~product(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_36, plain, (product(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X1,X6,X4))).
% 0.19/0.41 cnf(i_0_37, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 0.19/0.41 cnf(i_0_31, plain, (sum(X1,X2,X3)|~sum(X4,X5,X3)|~sum(X6,X5,X2)|~sum(X1,X6,X4))).
% 0.19/0.41 cnf(i_0_32, plain, (sum(X1,X2,X3)|~sum(X4,X2,X5)|~sum(X6,X5,X3)|~sum(X6,X4,X1))).
% 0.19/0.41 cnf(i_0_41, plain, (sum(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X7,X5,X1)|~sum(X7,X6,X4))).
% 0.19/0.41 cnf(i_0_42, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X2,X7)|~sum(X7,X5,X3)|~sum(X6,X4,X1))).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 9 steps
% 0.19/0.41 cnf(i_0_59, negated_conjecture, (product(multiplicative_identity,m,multiplicative_identity)), inference(start_rule)).
% 0.19/0.41 cnf(i_0_62, plain, (product(multiplicative_identity,m,multiplicative_identity)), inference(extension_rule, [i_0_41])).
% 0.19/0.41 cnf(i_0_202, plain, (~product(multiplicative_identity,m,multiplicative_identity)), inference(closure_rule, [i_0_59])).
% 0.19/0.41 cnf(i_0_204, plain, (~product(multiplicative_identity,m,multiplicative_identity)), inference(closure_rule, [i_0_59])).
% 0.19/0.41 cnf(i_0_201, plain, (sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_54])).
% 0.19/0.41 cnf(i_0_251, plain, (~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(closure_rule, [i_0_201])).
% 0.19/0.41 cnf(i_0_205, plain, (~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)), inference(etableau_closure_rule, [i_0_205, ...])).
% 0.19/0.41 cnf(i_0_248, plain, (less_or_equal(multiplicative_identity,multiplicative_identity)), inference(etableau_closure_rule, [i_0_248, ...])).
% 0.19/0.41 cnf(i_0_249, plain, (~less_or_equal(multiplicative_identity,multiplicative_identity)), inference(etableau_closure_rule, [i_0_249, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # Child (19045) has found a proof.
% 0.19/0.41
% 0.19/0.41 # Proof search is over...
% 0.19/0.41 # Freeing feature tree
%------------------------------------------------------------------------------