TSTP Solution File: BOO013-2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : BOO013-2 : 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 : n022.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 1 15:12:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.37 # No SInE strategy applied
% 0.14/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.37 #
% 0.14/0.37 # Presaturation interreduction done
% 0.14/0.37 # Number of axioms: 19 Number of unprocessed: 17
% 0.14/0.37 # Tableaux proof search.
% 0.14/0.37 # APR header successfully linked.
% 0.14/0.37 # Hello from C++
% 0.14/0.37 # The folding up rule is enabled...
% 0.14/0.37 # Local unification is enabled...
% 0.14/0.37 # Any saturation attempts will use folding labels...
% 0.14/0.37 # 17 beginning clauses after preprocessing and clausification
% 0.14/0.37 # Creating start rules for all 1 conjectures.
% 0.14/0.37 # There are 1 start rule candidates:
% 0.14/0.37 # Found 17 unit axioms.
% 0.14/0.37 # 1 start rule tableaux created.
% 0.14/0.37 # 0 extension rule candidate clauses
% 0.14/0.37 # 17 unit axiom clauses
% 0.14/0.37
% 0.14/0.37 # Requested 8, 32 cores available to the main process.
% 0.14/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 0.14/0.37 # Creating equality axioms
% 0.14/0.37 # Ran out of tableaux, making start rules for all clauses
% 0.14/0.37 # Returning from population with 24 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.37 # We now have 24 tableaux to operate on
% 0.14/0.38 # There were 1 total branch saturation attempts.
% 0.14/0.38 # There were 0 of these attempts blocked.
% 0.14/0.38 # There were 0 deferred branch saturation attempts.
% 0.14/0.38 # There were 0 free duplicated saturations.
% 0.14/0.38 # There were 1 total successful branch saturations.
% 0.14/0.38 # There were 0 successful branch saturations in interreduction.
% 0.14/0.38 # There were 0 successful branch saturations on the branch.
% 0.14/0.38 # There were 1 successful branch saturations after the branch.
% 0.14/0.38 # There were 1 total branch saturation attempts.
% 0.14/0.38 # There were 0 of these attempts blocked.
% 0.14/0.38 # There were 0 deferred branch saturation attempts.
% 0.14/0.38 # There were 0 free duplicated saturations.
% 0.14/0.38 # There were 1 total successful branch saturations.
% 0.14/0.38 # There were 0 successful branch saturations in interreduction.
% 0.14/0.38 # There were 0 successful branch saturations on the branch.
% 0.14/0.38 # There were 1 successful branch saturations after the branch.
% 0.14/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # Begin clausification derivation
% 0.14/0.38
% 0.14/0.38 # End clausification derivation
% 0.14/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_35, hypothesis, (add(a,c)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_36, hypothesis, (multiply(a,b)=additive_identity)).
% 0.14/0.38 cnf(i_0_37, hypothesis, (multiply(a,c)=additive_identity)).
% 0.14/0.38 cnf(i_0_32, plain, (add(X1,additive_identity)=X1)).
% 0.14/0.38 cnf(i_0_30, plain, (multiply(X1,multiplicative_identity)=X1)).
% 0.14/0.38 cnf(i_0_33, plain, (add(additive_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_31, plain, (multiply(multiplicative_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_26, plain, (add(X1,inverse(X1))=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_28, plain, (multiply(X1,inverse(X1))=additive_identity)).
% 0.14/0.38 cnf(i_0_23, plain, (multiply(add(X1,X2),add(X1,X3))=add(X1,multiply(X2,X3)))).
% 0.14/0.38 cnf(i_0_25, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.14/0.38 cnf(i_0_22, plain, (multiply(add(X1,X2),add(X3,X2))=add(multiply(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_20, plain, (add(X1,X2)=add(X2,X1))).
% 0.14/0.38 cnf(i_0_21, plain, (multiply(X1,X2)=multiply(X2,X1))).
% 0.14/0.38 cnf(i_0_38, negated_conjecture, (c!=b)).
% 0.14/0.38 cnf(i_0_40, plain, (X4=X4)).
% 0.14/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.38 # Begin printing tableau
% 0.14/0.38 # Found 5 steps
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity), inference(start_rule)).
% 0.14/0.38 cnf(i_0_47, plain, (add(a,b)=multiplicative_identity), inference(extension_rule, [i_0_46])).
% 0.14/0.38 cnf(i_0_78, plain, (inverse(add(a,b))=inverse(multiplicative_identity)), inference(extension_rule, [i_0_43])).
% 0.14/0.38 cnf(i_0_86, plain, (inverse(multiplicative_identity)!=add(inverse(multiplicative_identity),additive_identity)), inference(closure_rule, [i_0_32])).
% 0.14/0.38 cnf(i_0_84, plain, (inverse(add(a,b))=add(inverse(multiplicative_identity),additive_identity)), inference(etableau_closure_rule, [i_0_84, ...])).
% 0.14/0.38 # End printing tableau
% 0.14/0.38 # SZS output end
% 0.14/0.38 # Branches closed with saturation will be marked with an "s"
% 0.14/0.38 # There were 1 total branch saturation attempts.
% 0.14/0.38 # There were 0 of these attempts blocked.
% 0.14/0.38 # There were 0 deferred branch saturation attempts.
% 0.14/0.38 # There were 0 free duplicated saturations.
% 0.14/0.38 # There were 1 total successful branch saturations.
% 0.14/0.38 # There were 0 successful branch saturations in interreduction.
% 0.14/0.38 # There were 0 successful branch saturations on the branch.
% 0.14/0.38 # There were 1 successful branch saturations after the branch.
% 0.14/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # Begin clausification derivation
% 0.14/0.38
% 0.14/0.38 # End clausification derivation
% 0.14/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_35, hypothesis, (add(a,c)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_36, hypothesis, (multiply(a,b)=additive_identity)).
% 0.14/0.38 cnf(i_0_37, hypothesis, (multiply(a,c)=additive_identity)).
% 0.14/0.38 cnf(i_0_32, plain, (add(X1,additive_identity)=X1)).
% 0.14/0.38 cnf(i_0_30, plain, (multiply(X1,multiplicative_identity)=X1)).
% 0.14/0.38 cnf(i_0_33, plain, (add(additive_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_31, plain, (multiply(multiplicative_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_26, plain, (add(X1,inverse(X1))=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_28, plain, (multiply(X1,inverse(X1))=additive_identity)).
% 0.14/0.38 cnf(i_0_23, plain, (multiply(add(X1,X2),add(X1,X3))=add(X1,multiply(X2,X3)))).
% 0.14/0.38 cnf(i_0_25, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.14/0.38 cnf(i_0_22, plain, (multiply(add(X1,X2),add(X3,X2))=add(multiply(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_20, plain, (add(X1,X2)=add(X2,X1))).
% 0.14/0.38 cnf(i_0_21, plain, (multiply(X1,X2)=multiply(X2,X1))).
% 0.14/0.38 cnf(i_0_38, negated_conjecture, (c!=b)).
% 0.14/0.38 cnf(i_0_40, plain, (X4=X4)).
% 0.14/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.38 # Begin printing tableau
% 0.14/0.38 # Found 6 steps
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity), inference(start_rule)).
% 0.14/0.38 cnf(i_0_47, plain, (add(a,b)=multiplicative_identity), inference(extension_rule, [i_0_45])).
% 0.14/0.38 cnf(i_0_76, plain, (add(a,b)!=multiplicative_identity), inference(closure_rule, [i_0_34])).
% 0.14/0.38 cnf(i_0_75, plain, (multiply(add(a,b),add(a,b))=multiply(multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_43])).
% 0.14/0.38 cnf(i_0_86, plain, (multiply(multiplicative_identity,multiplicative_identity)!=add(multiply(multiplicative_identity,multiplicative_identity),additive_identity)), inference(closure_rule, [i_0_32])).
% 0.14/0.38 cnf(i_0_84, plain, (multiply(add(a,b),add(a,b))=add(multiply(multiplicative_identity,multiplicative_identity),additive_identity)), inference(etableau_closure_rule, [i_0_84, ...])).
% 0.14/0.38 # End printing tableau
% 0.14/0.38 # SZS output end
% 0.14/0.38 # Branches closed with saturation will be marked with an "s"
% 0.14/0.38 # There were 1 total branch saturation attempts.
% 0.14/0.38 # There were 0 of these attempts blocked.
% 0.14/0.38 # There were 0 deferred branch saturation attempts.
% 0.14/0.38 # There were 0 free duplicated saturations.
% 0.14/0.38 # There were 1 total successful branch saturations.
% 0.14/0.38 # There were 0 successful branch saturations in interreduction.
% 0.14/0.38 # There were 0 successful branch saturations on the branch.
% 0.14/0.38 # There were 1 successful branch saturations after the branch.
% 0.14/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # Begin clausification derivation
% 0.14/0.38
% 0.14/0.38 # End clausification derivation
% 0.14/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_35, hypothesis, (add(a,c)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_36, hypothesis, (multiply(a,b)=additive_identity)).
% 0.14/0.38 cnf(i_0_37, hypothesis, (multiply(a,c)=additive_identity)).
% 0.14/0.38 cnf(i_0_32, plain, (add(X1,additive_identity)=X1)).
% 0.14/0.38 cnf(i_0_30, plain, (multiply(X1,multiplicative_identity)=X1)).
% 0.14/0.38 cnf(i_0_33, plain, (add(additive_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_31, plain, (multiply(multiplicative_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_26, plain, (add(X1,inverse(X1))=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_28, plain, (multiply(X1,inverse(X1))=additive_identity)).
% 0.14/0.38 cnf(i_0_23, plain, (multiply(add(X1,X2),add(X1,X3))=add(X1,multiply(X2,X3)))).
% 0.14/0.38 cnf(i_0_25, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.14/0.38 cnf(i_0_22, plain, (multiply(add(X1,X2),add(X3,X2))=add(multiply(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_20, plain, (add(X1,X2)=add(X2,X1))).
% 0.14/0.38 cnf(i_0_21, plain, (multiply(X1,X2)=multiply(X2,X1))).
% 0.14/0.38 cnf(i_0_38, negated_conjecture, (c!=b)).
% 0.14/0.38 cnf(i_0_40, plain, (X4=X4)).
% 0.14/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.38 # Begin printing tableau
% 0.14/0.38 # Found 6 steps
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity), inference(start_rule)).
% 0.14/0.38 cnf(i_0_47, plain, (add(a,b)=multiplicative_identity), inference(extension_rule, [i_0_44])).
% 0.14/0.38 cnf(i_0_73, plain, (add(a,b)!=multiplicative_identity), inference(closure_rule, [i_0_34])).
% 0.14/0.38 cnf(i_0_72, plain, (add(add(a,b),add(a,b))=add(multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_43])).
% 0.14/0.38 cnf(i_0_86, plain, (add(multiplicative_identity,multiplicative_identity)!=add(add(multiplicative_identity,multiplicative_identity),additive_identity)), inference(closure_rule, [i_0_32])).
% 0.14/0.38 cnf(i_0_84, plain, (add(add(a,b),add(a,b))=add(add(multiplicative_identity,multiplicative_identity),additive_identity)), inference(etableau_closure_rule, [i_0_84, ...])).
% 0.14/0.38 # End printing tableau
% 0.14/0.38 # SZS output end
% 0.14/0.38 # Branches closed with saturation will be marked with an "s"
% 0.14/0.38 # There were 1 total branch saturation attempts.
% 0.14/0.38 # There were 0 of these attempts blocked.
% 0.14/0.38 # There were 0 deferred branch saturation attempts.
% 0.14/0.38 # There were 0 free duplicated saturations.
% 0.14/0.38 # There were 1 total successful branch saturations.
% 0.14/0.38 # There were 0 successful branch saturations in interreduction.
% 0.14/0.38 # There were 0 successful branch saturations on the branch.
% 0.14/0.38 # There were 1 successful branch saturations after the branch.
% 0.14/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 # Begin clausification derivation
% 0.14/0.38
% 0.14/0.38 # End clausification derivation
% 0.14/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_35, hypothesis, (add(a,c)=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_36, hypothesis, (multiply(a,b)=additive_identity)).
% 0.14/0.38 cnf(i_0_37, hypothesis, (multiply(a,c)=additive_identity)).
% 0.14/0.38 cnf(i_0_32, plain, (add(X1,additive_identity)=X1)).
% 0.14/0.38 cnf(i_0_30, plain, (multiply(X1,multiplicative_identity)=X1)).
% 0.14/0.38 cnf(i_0_33, plain, (add(additive_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_31, plain, (multiply(multiplicative_identity,X1)=X1)).
% 0.14/0.38 cnf(i_0_26, plain, (add(X1,inverse(X1))=multiplicative_identity)).
% 0.14/0.38 cnf(i_0_28, plain, (multiply(X1,inverse(X1))=additive_identity)).
% 0.14/0.38 cnf(i_0_23, plain, (multiply(add(X1,X2),add(X1,X3))=add(X1,multiply(X2,X3)))).
% 0.14/0.38 cnf(i_0_25, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.14/0.38 cnf(i_0_22, plain, (multiply(add(X1,X2),add(X3,X2))=add(multiply(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X3,X2))=multiply(add(X1,X3),X2))).
% 0.14/0.38 cnf(i_0_20, plain, (add(X1,X2)=add(X2,X1))).
% 0.14/0.38 cnf(i_0_21, plain, (multiply(X1,X2)=multiply(X2,X1))).
% 0.14/0.38 cnf(i_0_38, negated_conjecture, (c!=b)).
% 0.14/0.38 cnf(i_0_40, plain, (X4=X4)).
% 0.14/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.38 # Begin printing tableau
% 0.14/0.38 # Found 6 steps
% 0.14/0.38 cnf(i_0_34, hypothesis, (add(a,b)=multiplicative_identity), inference(start_rule)).
% 0.14/0.38 cnf(i_0_47, plain, (add(a,b)=multiplicative_identity), inference(extension_rule, [i_0_44])).
% 0.14/0.38 cnf(i_0_74, plain, (add(a,b)!=multiplicative_identity), inference(closure_rule, [i_0_34])).
% 0.14/0.38 cnf(i_0_72, plain, (add(add(a,b),add(a,b))=add(multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_43])).
% 0.14/0.38 cnf(i_0_86, plain, (add(multiplicative_identity,multiplicative_identity)!=add(add(multiplicative_identity,multiplicative_identity),additive_identity)), inference(closure_rule, [i_0_32])).
% 0.14/0.38 cnf(i_0_84, plain, (add(add(a,b),add(a,b))=add(add(multiplicative_identity,multiplicative_identity),additive_identity)), inference(etableau_closure_rule, [i_0_84, ...])).
% 0.14/0.38 # End printing tableau
% 0.14/0.38 # SZS output end
% 0.14/0.38 # Branches closed with saturation will be marked with an "s"
% 0.14/0.38 # Child (21456) has found a proof.
% 0.14/0.38
% 0.14/0.38 # Proof search is over...
% 0.14/0.38 # Freeing feature tree
%------------------------------------------------------------------------------