TSTP Solution File: RNG015-6 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : n026.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 : Mon Jul 18 20:27:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % 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 : n026.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 May 30 14:32:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.12/0.36 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.36 #
% 0.12/0.36 # Number of axioms: 14 Number of unprocessed: 14
% 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 # 14 beginning clauses after preprocessing and clausification
% 0.12/0.36 # Creating start rules for all 1 conjectures.
% 0.12/0.36 # There are 1 start rule candidates:
% 0.12/0.36 # Found 14 unit axioms.
% 0.12/0.36 # 1 start rule tableaux created.
% 0.12/0.36 # 0 extension rule candidate clauses
% 0.12/0.36 # 14 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 1
% 0.12/0.36 # Creating equality axioms
% 0.12/0.36 # Ran out of tableaux, making start rules for all clauses
% 0.12/0.36 # Returning from population with 20 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36 # We now have 20 tableaux to operate on
% 0.19/0.39 # There were 1 total branch saturation attempts.
% 0.19/0.39 # There were 0 of these attempts blocked.
% 0.19/0.39 # There were 0 deferred branch saturation attempts.
% 0.19/0.39 # There were 0 free duplicated saturations.
% 0.19/0.39 # There were 1 total successful branch saturations.
% 0.19/0.39 # There were 0 successful branch saturations in interreduction.
% 0.19/0.39 # There were 0 successful branch saturations on the branch.
% 0.19/0.39 # There were 1 successful branch saturations after the branch.
% 0.19/0.39 # There were 1 total branch saturation attempts.
% 0.19/0.39 # There were 0 of these attempts blocked.
% 0.19/0.39 # There were 0 deferred branch saturation attempts.
% 0.19/0.39 # There were 0 free duplicated saturations.
% 0.19/0.39 # There were 1 total successful branch saturations.
% 0.19/0.39 # There were 0 successful branch saturations in interreduction.
% 0.19/0.39 # There were 0 successful branch saturations on the branch.
% 0.19/0.39 # There were 1 successful branch saturations after the branch.
% 0.19/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # Begin clausification derivation
% 0.19/0.39
% 0.19/0.39 # End clausification derivation
% 0.19/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.19/0.39 cnf(i_0_20, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.19/0.39 cnf(i_0_19, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_18, plain, (add(X1,additive_identity)=X1)).
% 0.19/0.39 cnf(i_0_17, plain, (add(additive_identity,X1)=X1)).
% 0.19/0.39 cnf(i_0_22, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.19/0.39 cnf(i_0_21, plain, (add(additive_inverse(X1),X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_26, plain, (add(X1,X2)=add(X2,X1))).
% 0.19/0.39 cnf(i_0_27, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_28, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.19/0.39 cnf(i_0_29, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.19/0.39 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_25, plain, (add(multiply(X1,X3),multiply(X2,X3))=multiply(add(X1,X2),X3))).
% 0.19/0.39 cnf(i_0_32, negated_conjecture, (add(multiply(x,y),additive_inverse(multiply(x,z)))!=multiply(x,add(y,additive_inverse(z))))).
% 0.19/0.39 cnf(i_0_34, plain, (X4=X4)).
% 0.19/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.39 # Begin printing tableau
% 0.19/0.39 # Found 6 steps
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X3))=X3), inference(start_rule)).
% 0.19/0.39 cnf(i_0_41, plain, (additive_inverse(additive_inverse(X3))=X3), inference(extension_rule, [i_0_39])).
% 0.19/0.39 cnf(i_0_68, plain, (additive_inverse(additive_inverse(X5))!=X5), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_66, plain, (multiply(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=multiply(X3,X5)), inference(extension_rule, [i_0_37])).
% 0.19/0.39 cnf(i_0_77, plain, (multiply(X3,X5)!=additive_inverse(additive_inverse(multiply(X3,X5)))), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_75, plain, (multiply(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=additive_inverse(additive_inverse(multiply(X3,X5)))), inference(etableau_closure_rule, [i_0_75, ...])).
% 0.19/0.39 # End printing tableau
% 0.19/0.39 # SZS output end
% 0.19/0.39 # Branches closed with saturation will be marked with an "s"
% 0.19/0.39 # There were 1 total branch saturation attempts.
% 0.19/0.39 # There were 0 of these attempts blocked.
% 0.19/0.39 # There were 0 deferred branch saturation attempts.
% 0.19/0.39 # There were 0 free duplicated saturations.
% 0.19/0.39 # There were 1 total successful branch saturations.
% 0.19/0.39 # There were 0 successful branch saturations in interreduction.
% 0.19/0.39 # There were 0 successful branch saturations on the branch.
% 0.19/0.39 # There were 1 successful branch saturations after the branch.
% 0.19/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # Begin clausification derivation
% 0.19/0.39
% 0.19/0.39 # End clausification derivation
% 0.19/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.19/0.39 cnf(i_0_20, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.19/0.39 cnf(i_0_19, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_18, plain, (add(X1,additive_identity)=X1)).
% 0.19/0.39 cnf(i_0_17, plain, (add(additive_identity,X1)=X1)).
% 0.19/0.39 cnf(i_0_22, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.19/0.39 cnf(i_0_21, plain, (add(additive_inverse(X1),X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_26, plain, (add(X1,X2)=add(X2,X1))).
% 0.19/0.39 cnf(i_0_27, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_28, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.19/0.39 cnf(i_0_29, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.19/0.39 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_25, plain, (add(multiply(X1,X3),multiply(X2,X3))=multiply(add(X1,X2),X3))).
% 0.19/0.39 cnf(i_0_32, negated_conjecture, (add(multiply(x,y),additive_inverse(multiply(x,z)))!=multiply(x,add(y,additive_inverse(z))))).
% 0.19/0.39 cnf(i_0_34, plain, (X4=X4)).
% 0.19/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.39 # Begin printing tableau
% 0.19/0.39 # Found 6 steps
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X5))=X5), inference(start_rule)).
% 0.19/0.39 cnf(i_0_41, plain, (additive_inverse(additive_inverse(X5))=X5), inference(extension_rule, [i_0_39])).
% 0.19/0.39 cnf(i_0_67, plain, (additive_inverse(additive_inverse(X3))!=X3), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_66, plain, (multiply(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=multiply(X3,X5)), inference(extension_rule, [i_0_37])).
% 0.19/0.39 cnf(i_0_77, plain, (multiply(X3,X5)!=additive_inverse(additive_inverse(multiply(X3,X5)))), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_75, plain, (multiply(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=additive_inverse(additive_inverse(multiply(X3,X5)))), inference(etableau_closure_rule, [i_0_75, ...])).
% 0.19/0.39 # End printing tableau
% 0.19/0.39 # SZS output end
% 0.19/0.39 # Branches closed with saturation will be marked with an "s"
% 0.19/0.39 # There were 1 total branch saturation attempts.
% 0.19/0.39 # There were 0 of these attempts blocked.
% 0.19/0.39 # There were 0 deferred branch saturation attempts.
% 0.19/0.39 # There were 0 free duplicated saturations.
% 0.19/0.39 # There were 1 total successful branch saturations.
% 0.19/0.39 # There were 0 successful branch saturations in interreduction.
% 0.19/0.39 # There were 0 successful branch saturations on the branch.
% 0.19/0.39 # There were 1 successful branch saturations after the branch.
% 0.19/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # Begin clausification derivation
% 0.19/0.39
% 0.19/0.39 # End clausification derivation
% 0.19/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.19/0.39 cnf(i_0_20, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.19/0.39 cnf(i_0_19, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_18, plain, (add(X1,additive_identity)=X1)).
% 0.19/0.39 cnf(i_0_17, plain, (add(additive_identity,X1)=X1)).
% 0.19/0.39 cnf(i_0_22, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.19/0.39 cnf(i_0_21, plain, (add(additive_inverse(X1),X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_26, plain, (add(X1,X2)=add(X2,X1))).
% 0.19/0.39 cnf(i_0_27, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_28, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.19/0.39 cnf(i_0_29, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.19/0.39 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_25, plain, (add(multiply(X1,X3),multiply(X2,X3))=multiply(add(X1,X2),X3))).
% 0.19/0.39 cnf(i_0_32, negated_conjecture, (add(multiply(x,y),additive_inverse(multiply(x,z)))!=multiply(x,add(y,additive_inverse(z))))).
% 0.19/0.39 cnf(i_0_34, plain, (X4=X4)).
% 0.19/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.39 # Begin printing tableau
% 0.19/0.39 # Found 6 steps
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X3))=X3), inference(start_rule)).
% 0.19/0.39 cnf(i_0_41, plain, (additive_inverse(additive_inverse(X3))=X3), inference(extension_rule, [i_0_38])).
% 0.19/0.39 cnf(i_0_65, plain, (additive_inverse(additive_inverse(X5))!=X5), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_63, plain, (add(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=add(X3,X5)), inference(extension_rule, [i_0_37])).
% 0.19/0.39 cnf(i_0_77, plain, (add(X3,X5)!=additive_inverse(additive_inverse(add(X3,X5)))), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_75, plain, (add(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=additive_inverse(additive_inverse(add(X3,X5)))), inference(etableau_closure_rule, [i_0_75, ...])).
% 0.19/0.39 # End printing tableau
% 0.19/0.39 # SZS output end
% 0.19/0.39 # Branches closed with saturation will be marked with an "s"
% 0.19/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # Begin clausification derivation
% 0.19/0.39
% 0.19/0.39 # End clausification derivation
% 0.19/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.19/0.39 cnf(i_0_20, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.19/0.39 cnf(i_0_19, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_18, plain, (add(X1,additive_identity)=X1)).
% 0.19/0.39 cnf(i_0_17, plain, (add(additive_identity,X1)=X1)).
% 0.19/0.39 cnf(i_0_22, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.19/0.39 cnf(i_0_21, plain, (add(additive_inverse(X1),X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_26, plain, (add(X1,X2)=add(X2,X1))).
% 0.19/0.39 cnf(i_0_27, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_28, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.19/0.39 cnf(i_0_29, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.19/0.39 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_25, plain, (add(multiply(X1,X3),multiply(X2,X3))=multiply(add(X1,X2),X3))).
% 0.19/0.39 cnf(i_0_32, negated_conjecture, (add(multiply(x,y),additive_inverse(multiply(x,z)))!=multiply(x,add(y,additive_inverse(z))))).
% 0.19/0.39 cnf(i_0_34, plain, (X4=X4)).
% 0.19/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.39 # Begin printing tableau
% 0.19/0.39 # Found 6 steps
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X5))=X5), inference(start_rule)).
% 0.19/0.39 cnf(i_0_41, plain, (additive_inverse(additive_inverse(X5))=X5), inference(extension_rule, [i_0_38])).
% 0.19/0.39 cnf(i_0_64, plain, (additive_inverse(additive_inverse(X3))!=X3), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_63, plain, (add(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=add(X3,X5)), inference(extension_rule, [i_0_37])).
% 0.19/0.39 cnf(i_0_77, plain, (add(X3,X5)!=additive_inverse(additive_inverse(add(X3,X5)))), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_75, plain, (add(additive_inverse(additive_inverse(X3)),additive_inverse(additive_inverse(X5)))=additive_inverse(additive_inverse(add(X3,X5)))), inference(etableau_closure_rule, [i_0_75, ...])).
% 0.19/0.39 # End printing tableau
% 0.19/0.39 # SZS output end
% 0.19/0.39 # Branches closed with saturation will be marked with an "s"
% 0.19/0.39 # There were 1 total branch saturation attempts.
% 0.19/0.39 # There were 0 of these attempts blocked.
% 0.19/0.39 # There were 0 deferred branch saturation attempts.
% 0.19/0.39 # There were 0 free duplicated saturations.
% 0.19/0.39 # There were 1 total successful branch saturations.
% 0.19/0.39 # There were 0 successful branch saturations in interreduction.
% 0.19/0.39 # There were 0 successful branch saturations on the branch.
% 0.19/0.39 # There were 1 successful branch saturations after the branch.
% 0.19/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 # Begin clausification derivation
% 0.19/0.39
% 0.19/0.39 # End clausification derivation
% 0.19/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.39 cnf(i_0_23, plain, (additive_inverse(additive_inverse(X1))=X1)).
% 0.19/0.39 cnf(i_0_20, plain, (multiply(X1,additive_identity)=additive_identity)).
% 0.19/0.39 cnf(i_0_19, plain, (multiply(additive_identity,X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_18, plain, (add(X1,additive_identity)=X1)).
% 0.19/0.39 cnf(i_0_17, plain, (add(additive_identity,X1)=X1)).
% 0.19/0.39 cnf(i_0_22, plain, (add(X1,additive_inverse(X1))=additive_identity)).
% 0.19/0.39 cnf(i_0_21, plain, (add(additive_inverse(X1),X1)=additive_identity)).
% 0.19/0.39 cnf(i_0_26, plain, (add(X1,X2)=add(X2,X1))).
% 0.19/0.39 cnf(i_0_27, plain, (add(add(X1,X2),X3)=add(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_28, plain, (multiply(multiply(X1,X2),X2)=multiply(X1,multiply(X2,X2)))).
% 0.19/0.39 cnf(i_0_29, plain, (multiply(multiply(X1,X1),X2)=multiply(X1,multiply(X1,X2)))).
% 0.19/0.39 cnf(i_0_24, plain, (add(multiply(X1,X2),multiply(X1,X3))=multiply(X1,add(X2,X3)))).
% 0.19/0.39 cnf(i_0_25, plain, (add(multiply(X1,X3),multiply(X2,X3))=multiply(add(X1,X2),X3))).
% 0.19/0.39 cnf(i_0_32, negated_conjecture, (add(multiply(x,y),additive_inverse(multiply(x,z)))!=multiply(x,add(y,additive_inverse(z))))).
% 0.19/0.39 cnf(i_0_34, plain, (X4=X4)).
% 0.19/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.39 # Begin printing tableau
% 0.19/0.39 # Found 6 steps
% 0.19/0.39 cnf(i_0_20, plain, (multiply(additive_identity,additive_identity)=additive_identity), inference(start_rule)).
% 0.19/0.39 cnf(i_0_42, plain, (multiply(additive_identity,additive_identity)=additive_identity), inference(extension_rule, [i_0_37])).
% 0.19/0.39 cnf(i_0_77, plain, (additive_inverse(additive_inverse(additive_identity))!=additive_identity), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_75, plain, (multiply(additive_identity,additive_identity)=additive_inverse(additive_inverse(additive_identity))), inference(extension_rule, [i_0_38])).
% 0.19/0.39 cnf(i_0_84, plain, (additive_inverse(additive_inverse(X4))!=X4), inference(closure_rule, [i_0_23])).
% 0.19/0.39 cnf(i_0_82, plain, (add(multiply(additive_identity,additive_identity),additive_inverse(additive_inverse(X4)))=add(additive_inverse(additive_inverse(additive_identity)),X4)), inference(etableau_closure_rule, [i_0_82, ...])).
% 0.19/0.39 # End printing tableau
% 0.19/0.39 # SZS output end
% 0.19/0.39 # Branches closed with saturation will be marked with an "s"
% 0.19/0.39 # Child (21017) has found a proof.
% 0.19/0.39
% 0.19/0.39 # Proof search is over...
% 0.19/0.39 # Freeing feature tree
%------------------------------------------------------------------------------