TSTP Solution File: RNG015-6 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %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 : Mon Jul 18 20:35:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n022.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 14:21:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 26089: Facts:
% 0.12/0.34 26089: Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 0.12/0.34 26089: Id : 3, {_}:
% 0.12/0.34 add ?4 additive_identity =>= ?4
% 0.12/0.34 [4] by right_additive_identity ?4
% 0.12/0.34 26089: Id : 4, {_}:
% 0.12/0.34 multiply additive_identity ?6 =>= additive_identity
% 0.12/0.34 [6] by left_multiplicative_zero ?6
% 0.12/0.34 26089: Id : 5, {_}:
% 0.12/0.34 multiply ?8 additive_identity =>= additive_identity
% 0.12/0.34 [8] by right_multiplicative_zero ?8
% 0.12/0.34 26089: Id : 6, {_}:
% 0.12/0.34 add (additive_inverse ?10) ?10 =>= additive_identity
% 0.12/0.34 [10] by left_additive_inverse ?10
% 0.12/0.34 26089: Id : 7, {_}:
% 0.12/0.34 add ?12 (additive_inverse ?12) =>= additive_identity
% 0.12/0.34 [12] by right_additive_inverse ?12
% 0.12/0.34 26089: Id : 8, {_}:
% 0.12/0.34 additive_inverse (additive_inverse ?14) =>= ?14
% 0.12/0.34 [14] by additive_inverse_additive_inverse ?14
% 0.12/0.34 26089: Id : 9, {_}:
% 0.12/0.34 multiply ?16 (add ?17 ?18)
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?16 ?17) (multiply ?16 ?18)
% 0.12/0.34 [18, 17, 16] by distribute1 ?16 ?17 ?18
% 0.12/0.34 26089: Id : 10, {_}:
% 0.12/0.34 multiply (add ?20 ?21) ?22
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?20 ?22) (multiply ?21 ?22)
% 0.12/0.34 [22, 21, 20] by distribute2 ?20 ?21 ?22
% 0.12/0.34 26089: Id : 11, {_}:
% 0.12/0.34 add ?24 ?25 =?= add ?25 ?24
% 0.12/0.34 [25, 24] by commutativity_for_addition ?24 ?25
% 0.12/0.34 26089: Id : 12, {_}:
% 0.12/0.34 add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
% 0.12/0.34 [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
% 0.12/0.34 26089: Id : 13, {_}:
% 0.12/0.34 multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
% 0.12/0.34 [32, 31] by right_alternative ?31 ?32
% 0.12/0.34 26089: Id : 14, {_}:
% 0.12/0.34 multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
% 0.12/0.34 [35, 34] by left_alternative ?34 ?35
% 0.12/0.34 26089: Id : 15, {_}:
% 0.12/0.34 associator ?37 ?38 ?39
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply (multiply ?37 ?38) ?39)
% 0.12/0.34 (additive_inverse (multiply ?37 (multiply ?38 ?39)))
% 0.12/0.34 [39, 38, 37] by associator ?37 ?38 ?39
% 0.12/0.34 26089: Id : 16, {_}:
% 0.12/0.34 commutator ?41 ?42
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
% 0.12/0.34 [42, 41] by commutator ?41 ?42
% 0.12/0.34 26089: Goal:
% 0.12/0.34 26089: Id : 1, {_}:
% 0.12/0.34 multiply x (add y (additive_inverse z))
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply x y) (additive_inverse (multiply x z))
% 0.12/0.34 [] by prove_distributivity
% 0.18/0.50 Statistics :
% 0.18/0.50 Max weight : 16
% 0.18/0.50 Found proof, 0.159231s
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.50 Id : 3, {_}: add ?4 additive_identity =>= ?4 [4] by right_additive_identity ?4
% 0.18/0.50 Id : 11, {_}: add ?24 ?25 =?= add ?25 ?24 [25, 24] by commutativity_for_addition ?24 ?25
% 0.18/0.50 Id : 5, {_}: multiply ?8 additive_identity =>= additive_identity [8] by right_multiplicative_zero ?8
% 0.18/0.50 Id : 6, {_}: add (additive_inverse ?10) ?10 =>= additive_identity [10] by left_additive_inverse ?10
% 0.18/0.50 Id : 45, {_}: multiply ?85 (add ?86 ?87) =>= add (multiply ?85 ?86) (multiply ?85 ?87) [87, 86, 85] by distribute1 ?85 ?86 ?87
% 0.18/0.50 Id : 8, {_}: additive_inverse (additive_inverse ?14) =>= ?14 [14] by additive_inverse_additive_inverse ?14
% 0.18/0.50 Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 0.18/0.50 Id : 7, {_}: add ?12 (additive_inverse ?12) =>= additive_identity [12] by right_additive_inverse ?12
% 0.18/0.50 Id : 137, {_}: add ?217 (add ?218 ?219) =<= add (add ?217 ?218) ?219 [219, 218, 217] by associativity_for_addition ?217 ?218 ?219
% 0.18/0.50 Id : 9, {_}: multiply ?16 (add ?17 ?18) =>= add (multiply ?16 ?17) (multiply ?16 ?18) [18, 17, 16] by distribute1 ?16 ?17 ?18
% 0.18/0.50 Id : 140, {_}: add ?227 (add (additive_inverse ?227) ?228) =>= add additive_identity ?228 [228, 227] by Super 137 with 7 at 1,3
% 0.18/0.50 Id : 430, {_}: add ?506 (add (additive_inverse ?506) ?507) =>= ?507 [507, 506] by Demod 140 with 2 at 3
% 0.18/0.50 Id : 463, {_}: add (additive_inverse ?553) (add ?553 ?554) =>= ?554 [554, 553] by Super 430 with 8 at 1,2,2
% 0.18/0.50 Id : 48, {_}: multiply ?95 additive_identity =<= add (multiply ?95 (additive_inverse ?96)) (multiply ?95 ?96) [96, 95] by Super 45 with 6 at 2,2
% 0.18/0.50 Id : 59, {_}: additive_identity =<= add (multiply ?95 (additive_inverse ?96)) (multiply ?95 ?96) [96, 95] by Demod 48 with 5 at 2
% 0.18/0.50 Id : 358, {_}: additive_identity =<= add (multiply ?95 ?96) (multiply ?95 (additive_inverse ?96)) [96, 95] by Demod 59 with 11 at 3
% 0.18/0.50 Id : 473, {_}: add (additive_inverse (multiply ?581 ?582)) additive_identity =<= multiply ?581 (additive_inverse ?582) [582, 581] by Super 463 with 358 at 2,2
% 0.18/0.50 Id : 490, {_}: additive_inverse (multiply ?581 ?582) =<= multiply ?581 (additive_inverse ?582) [582, 581] by Demod 473 with 3 at 2
% 0.18/0.50 Id : 545, {_}: add (multiply x y) (additive_inverse (multiply x z)) === add (multiply x y) (additive_inverse (multiply x z)) [] by Demod 544 with 490 at 2,2
% 0.18/0.50 Id : 544, {_}: add (multiply x y) (multiply x (additive_inverse z)) =>= add (multiply x y) (additive_inverse (multiply x z)) [] by Demod 1 with 9 at 2
% 0.18/0.50 Id : 1, {_}: multiply x (add y (additive_inverse z)) =>= add (multiply x y) (additive_inverse (multiply x z)) [] by prove_distributivity
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 26091: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.161176 using lpo
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