TSTP Solution File: FLD055-3 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : FLD055-3 : 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 : n017.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 02:06:15 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD055-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % 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 : n017.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 : Mon Jun 6 10:16:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic G_E___006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.12/0.36 # and selection function SelectNewComplexAHP.
% 0.12/0.36 #
% 0.12/0.36 # Number of axioms: 32 Number of unprocessed: 32
% 0.12/0.36 # Tableaux proof search.
% 0.12/0.36 # APR header successfully linked.
% 0.12/0.36 # Hello from C++
% 0.12/0.36 # The folding up rule is enabled...
% 0.12/0.36 # Local unification is enabled...
% 0.12/0.36 # Any saturation attempts will use folding labels...
% 0.12/0.36 # 32 beginning clauses after preprocessing and clausification
% 0.12/0.36 # Creating start rules for all 3 conjectures.
% 0.12/0.36 # There are 3 start rule candidates:
% 0.12/0.36 # Found 9 unit axioms.
% 0.12/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36 # 3 start rule tableaux created.
% 0.12/0.36 # 23 extension rule candidate clauses
% 0.12/0.36 # 9 unit axiom clauses
% 0.12/0.36
% 0.12/0.36 # Requested 8, 32 cores available to the main process.
% 0.12/0.36 # There are not enough tableaux to fork, creating more from the initial 3
% 0.12/0.36 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36 # We now have 14 tableaux to operate on
% 0.12/0.37 # There were 2 total branch saturation attempts.
% 0.12/0.37 # There were 0 of these attempts blocked.
% 0.12/0.37 # There were 0 deferred branch saturation attempts.
% 0.12/0.37 # There were 0 free duplicated saturations.
% 0.12/0.37 # There were 2 total successful branch saturations.
% 0.12/0.37 # There were 0 successful branch saturations in interreduction.
% 0.12/0.37 # There were 0 successful branch saturations on the branch.
% 0.12/0.37 # There were 2 successful branch saturations after the branch.
% 0.12/0.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 # Begin clausification derivation
% 0.12/0.37
% 0.12/0.37 # End clausification derivation
% 0.12/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37 cnf(i_0_46, plain, (defined(additive_identity))).
% 0.12/0.37 cnf(i_0_49, plain, (defined(multiplicative_identity))).
% 0.12/0.37 cnf(i_0_59, hypothesis, (defined(a))).
% 0.12/0.37 cnf(i_0_60, hypothesis, (defined(b))).
% 0.12/0.37 cnf(i_0_61, hypothesis, (defined(c))).
% 0.12/0.37 cnf(i_0_62, negated_conjecture, (less_or_equal(a,b))).
% 0.12/0.37 cnf(i_0_47, plain, (defined(additive_inverse(X1))|~defined(X1))).
% 0.12/0.37 cnf(i_0_64, negated_conjecture, (~less_or_equal(a,c))).
% 0.12/0.37 cnf(i_0_55, plain, (less_or_equal(X2,X1)|less_or_equal(X1,X2)|~defined(X2)|~defined(X1))).
% 0.12/0.37 cnf(i_0_45, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.37 cnf(i_0_48, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.37 cnf(i_0_63, negated_conjecture, (sum(additive_identity,b,c))).
% 0.12/0.37 cnf(i_0_54, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))).
% 0.12/0.37 cnf(i_0_35, plain, (sum(additive_identity,X1,X1)|~defined(X1))).
% 0.12/0.37 cnf(i_0_40, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))).
% 0.12/0.37 cnf(i_0_36, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))).
% 0.12/0.37 cnf(i_0_50, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))).
% 0.12/0.37 cnf(i_0_58, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))).
% 0.12/0.37 cnf(i_0_51, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.37 cnf(i_0_52, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.37 cnf(i_0_53, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))).
% 0.12/0.37 cnf(i_0_41, plain, (sum(additive_identity,X1,additive_identity)|product(multiplicative_inverse(X1),X1,multiplicative_identity)|~defined(X1))).
% 0.12/0.37 cnf(i_0_57, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X3)|~less_or_equal(additive_identity,X2)|~product(X2,X3,X1))).
% 0.12/0.37 cnf(i_0_37, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))).
% 0.12/0.37 cnf(i_0_42, plain, (product(X1,X2,X3)|~product(X2,X1,X3))).
% 0.12/0.37 cnf(i_0_56, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))).
% 0.12/0.37 cnf(i_0_33, plain, (sum(X1,X2,X3)|~sum(X5,X6,X3)|~sum(X4,X6,X2)|~sum(X1,X4,X5))).
% 0.12/0.37 cnf(i_0_34, plain, (sum(X1,X2,X3)|~sum(X5,X2,X6)|~sum(X4,X6,X3)|~sum(X4,X5,X1))).
% 0.12/0.37 cnf(i_0_38, plain, (product(X1,X2,X3)|~product(X5,X6,X3)|~product(X4,X6,X2)|~product(X1,X4,X5))).
% 0.12/0.37 cnf(i_0_39, plain, (product(X1,X2,X3)|~product(X5,X2,X6)|~product(X4,X6,X3)|~product(X4,X5,X1))).
% 0.12/0.37 cnf(i_0_43, plain, (sum(X1,X2,X3)|~sum(X4,X5,X6)|~product(X6,X7,X3)|~product(X5,X7,X2)|~product(X4,X7,X1))).
% 0.12/0.37 cnf(i_0_44, plain, (product(X1,X2,X3)|~sum(X6,X7,X3)|~sum(X4,X5,X1)|~product(X5,X2,X7)|~product(X4,X2,X6))).
% 0.12/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.37 # Begin printing tableau
% 0.12/0.37 # Found 9 steps
% 0.12/0.37 cnf(i_0_64, negated_conjecture, (~less_or_equal(a,c)), inference(start_rule)).
% 0.12/0.37 cnf(i_0_66, plain, (~less_or_equal(a,c)), inference(extension_rule, [i_0_55])).
% 0.12/0.37 cnf(i_0_146, plain, (~defined(a)), inference(closure_rule, [i_0_59])).
% 0.12/0.37 cnf(i_0_147, plain, (~defined(c)), inference(closure_rule, [i_0_61])).
% 0.12/0.37 cnf(i_0_145, plain, (less_or_equal(c,a)), inference(extension_rule, [i_0_54])).
% 0.12/0.37 cnf(i_0_156, plain, (less_or_equal(b,a)), inference(extension_rule, [i_0_53])).
% 0.12/0.37 cnf(i_0_184, plain, (~less_or_equal(a,b)), inference(closure_rule, [i_0_62])).
% 0.12/0.37 cnf(i_0_158, plain, (~less_or_equal(b,c)), inference(etableau_closure_rule, [i_0_158, ...])).
% 0.12/0.37 cnf(i_0_182, plain, (sum(additive_identity,a,b)), inference(etableau_closure_rule, [i_0_182, ...])).
% 0.12/0.37 # End printing tableau
% 0.12/0.37 # SZS output end
% 0.12/0.37 # Branches closed with saturation will be marked with an "s"
% 0.12/0.38 # There were 2 total branch saturation attempts.
% 0.12/0.38 # There were 0 of these attempts blocked.
% 0.12/0.38 # There were 0 deferred branch saturation attempts.
% 0.12/0.38 # There were 0 free duplicated saturations.
% 0.12/0.38 # There were 2 total successful branch saturations.
% 0.12/0.38 # There were 0 successful branch saturations in interreduction.
% 0.12/0.38 # There were 0 successful branch saturations on the branch.
% 0.12/0.38 # There were 2 successful branch saturations after the branch.
% 0.12/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 # Begin clausification derivation
% 0.12/0.38
% 0.12/0.38 # End clausification derivation
% 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38 cnf(i_0_46, plain, (defined(additive_identity))).
% 0.12/0.38 cnf(i_0_49, plain, (defined(multiplicative_identity))).
% 0.12/0.38 cnf(i_0_59, hypothesis, (defined(a))).
% 0.12/0.38 cnf(i_0_60, hypothesis, (defined(b))).
% 0.12/0.38 cnf(i_0_61, hypothesis, (defined(c))).
% 0.12/0.38 cnf(i_0_62, negated_conjecture, (less_or_equal(a,b))).
% 0.12/0.38 cnf(i_0_47, plain, (defined(additive_inverse(X1))|~defined(X1))).
% 0.12/0.38 cnf(i_0_64, negated_conjecture, (~less_or_equal(a,c))).
% 0.12/0.38 cnf(i_0_55, plain, (less_or_equal(X2,X1)|less_or_equal(X1,X2)|~defined(X2)|~defined(X1))).
% 0.12/0.38 cnf(i_0_45, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.38 cnf(i_0_48, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.38 cnf(i_0_63, negated_conjecture, (sum(additive_identity,b,c))).
% 0.12/0.38 cnf(i_0_54, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))).
% 0.12/0.38 cnf(i_0_35, plain, (sum(additive_identity,X1,X1)|~defined(X1))).
% 0.12/0.38 cnf(i_0_40, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))).
% 0.12/0.38 cnf(i_0_36, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))).
% 0.12/0.38 cnf(i_0_50, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))).
% 0.12/0.38 cnf(i_0_58, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))).
% 0.12/0.38 cnf(i_0_51, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.38 cnf(i_0_52, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))).
% 0.12/0.38 cnf(i_0_53, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))).
% 0.12/0.38 cnf(i_0_41, plain, (sum(additive_identity,X1,additive_identity)|product(multiplicative_inverse(X1),X1,multiplicative_identity)|~defined(X1))).
% 0.12/0.38 cnf(i_0_57, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X3)|~less_or_equal(additive_identity,X2)|~product(X2,X3,X1))).
% 0.12/0.38 cnf(i_0_37, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))).
% 0.12/0.38 cnf(i_0_42, plain, (product(X1,X2,X3)|~product(X2,X1,X3))).
% 0.12/0.38 cnf(i_0_56, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))).
% 0.12/0.38 cnf(i_0_33, plain, (sum(X1,X2,X3)|~sum(X5,X6,X3)|~sum(X4,X6,X2)|~sum(X1,X4,X5))).
% 0.12/0.38 cnf(i_0_34, plain, (sum(X1,X2,X3)|~sum(X5,X2,X6)|~sum(X4,X6,X3)|~sum(X4,X5,X1))).
% 0.12/0.38 cnf(i_0_38, plain, (product(X1,X2,X3)|~product(X5,X6,X3)|~product(X4,X6,X2)|~product(X1,X4,X5))).
% 0.12/0.38 cnf(i_0_39, plain, (product(X1,X2,X3)|~product(X5,X2,X6)|~product(X4,X6,X3)|~product(X4,X5,X1))).
% 0.12/0.38 cnf(i_0_43, plain, (sum(X1,X2,X3)|~sum(X4,X5,X6)|~product(X6,X7,X3)|~product(X5,X7,X2)|~product(X4,X7,X1))).
% 0.12/0.38 cnf(i_0_44, plain, (product(X1,X2,X3)|~sum(X6,X7,X3)|~sum(X4,X5,X1)|~product(X5,X2,X7)|~product(X4,X2,X6))).
% 0.12/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.38 # Begin printing tableau
% 0.12/0.38 # Found 6 steps
% 0.12/0.38 cnf(i_0_62, negated_conjecture, (less_or_equal(a,b)), inference(start_rule)).
% 0.12/0.38 cnf(i_0_67, plain, (less_or_equal(a,b)), inference(extension_rule, [i_0_54])).
% 0.12/0.38 cnf(i_0_154, plain, (less_or_equal(b,b)), inference(extension_rule, [i_0_53])).
% 0.12/0.38 cnf(i_0_186, plain, (~less_or_equal(b,b)), inference(closure_rule, [i_0_154])).
% 0.12/0.38 cnf(i_0_156, plain, (~less_or_equal(b,a)), inference(etableau_closure_rule, [i_0_156, ...])).
% 0.12/0.38 cnf(i_0_184, plain, (sum(additive_identity,b,b)), inference(etableau_closure_rule, [i_0_184, ...])).
% 0.12/0.38 # End printing tableau
% 0.12/0.38 # SZS output end
% 0.12/0.38 # Branches closed with saturation will be marked with an "s"
% 0.12/0.38 # Child (16023) has found a proof.
% 0.12/0.38
% 0.12/0.38 # Proof search is over...
% 0.12/0.38 # Freeing feature tree
%------------------------------------------------------------------------------