TSTP Solution File: RNG025-9 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : RNG025-9 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %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 : Mon Jul 18 20:35:30 EDT 2022
% Result : Timeout 300.12s 75.35s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG025-9 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 20:42:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 12526: Facts:
% 0.13/0.36 12526: Id : 2, {_}:
% 0.13/0.36 multiply (additive_inverse ?2) (additive_inverse ?3)
% 0.13/0.36 =>=
% 0.13/0.36 multiply ?2 ?3
% 0.13/0.36 [3, 2] by product_of_inverses ?2 ?3
% 0.13/0.36 12526: Id : 3, {_}:
% 0.13/0.36 multiply (additive_inverse ?5) ?6
% 0.13/0.36 =>=
% 0.13/0.36 additive_inverse (multiply ?5 ?6)
% 0.13/0.36 [6, 5] by inverse_product1 ?5 ?6
% 0.13/0.36 12526: Id : 4, {_}:
% 0.13/0.36 multiply ?8 (additive_inverse ?9)
% 0.13/0.36 =>=
% 0.13/0.36 additive_inverse (multiply ?8 ?9)
% 0.13/0.36 [9, 8] by inverse_product2 ?8 ?9
% 0.13/0.36 12526: Id : 5, {_}:
% 0.13/0.36 multiply ?11 (add ?12 (additive_inverse ?13))
% 0.13/0.36 =<=
% 0.13/0.36 add (multiply ?11 ?12) (additive_inverse (multiply ?11 ?13))
% 0.13/0.36 [13, 12, 11] by distributivity_of_difference1 ?11 ?12 ?13
% 0.13/0.36 12526: Id : 6, {_}:
% 0.13/0.36 multiply (add ?15 (additive_inverse ?16)) ?17
% 0.13/0.36 =<=
% 0.13/0.36 add (multiply ?15 ?17) (additive_inverse (multiply ?16 ?17))
% 0.13/0.36 [17, 16, 15] by distributivity_of_difference2 ?15 ?16 ?17
% 0.13/0.36 12526: Id : 7, {_}:
% 0.13/0.36 multiply (additive_inverse ?19) (add ?20 ?21)
% 0.13/0.36 =<=
% 0.13/0.36 add (additive_inverse (multiply ?19 ?20))
% 0.13/0.36 (additive_inverse (multiply ?19 ?21))
% 0.13/0.36 [21, 20, 19] by distributivity_of_difference3 ?19 ?20 ?21
% 0.13/0.36 12526: Id : 8, {_}:
% 0.13/0.36 multiply (add ?23 ?24) (additive_inverse ?25)
% 0.13/0.36 =<=
% 0.13/0.36 add (additive_inverse (multiply ?23 ?25))
% 0.13/0.36 (additive_inverse (multiply ?24 ?25))
% 0.13/0.36 [25, 24, 23] by distributivity_of_difference4 ?23 ?24 ?25
% 0.13/0.36 12526: Id : 9, {_}:
% 0.13/0.36 add ?27 ?28 =?= add ?28 ?27
% 0.13/0.36 [28, 27] by commutativity_for_addition ?27 ?28
% 0.13/0.36 12526: Id : 10, {_}:
% 0.13/0.36 add ?30 (add ?31 ?32) =?= add (add ?30 ?31) ?32
% 0.13/0.36 [32, 31, 30] by associativity_for_addition ?30 ?31 ?32
% 0.13/0.36 12526: Id : 11, {_}:
% 0.13/0.36 add additive_identity ?34 =>= ?34
% 0.13/0.36 [34] by left_additive_identity ?34
% 0.13/0.36 12526: Id : 12, {_}:
% 0.13/0.36 add ?36 additive_identity =>= ?36
% 0.13/0.36 [36] by right_additive_identity ?36
% 0.13/0.36 12526: Id : 13, {_}:
% 0.13/0.36 multiply additive_identity ?38 =>= additive_identity
% 0.13/0.36 [38] by left_multiplicative_zero ?38
% 0.13/0.36 12526: Id : 14, {_}:
% 0.13/0.36 multiply ?40 additive_identity =>= additive_identity
% 0.13/0.36 [40] by right_multiplicative_zero ?40
% 0.13/0.36 12526: Id : 15, {_}:
% 0.13/0.36 add (additive_inverse ?42) ?42 =>= additive_identity
% 0.13/0.36 [42] by left_additive_inverse ?42
% 0.13/0.36 12526: Id : 16, {_}:
% 0.13/0.36 add ?44 (additive_inverse ?44) =>= additive_identity
% 0.13/0.36 [44] by right_additive_inverse ?44
% 0.13/0.36 12526: Id : 17, {_}:
% 0.13/0.36 multiply ?46 (add ?47 ?48)
% 0.13/0.36 =<=
% 0.13/0.36 add (multiply ?46 ?47) (multiply ?46 ?48)
% 0.13/0.36 [48, 47, 46] by distribute1 ?46 ?47 ?48
% 0.13/0.36 12526: Id : 18, {_}:
% 0.13/0.36 multiply (add ?50 ?51) ?52
% 0.13/0.36 =<=
% 0.13/0.36 add (multiply ?50 ?52) (multiply ?51 ?52)
% 0.13/0.36 [52, 51, 50] by distribute2 ?50 ?51 ?52
% 0.13/0.36 12526: Id : 19, {_}:
% 0.13/0.36 additive_inverse (additive_inverse ?54) =>= ?54
% 0.13/0.36 [54] by additive_inverse_additive_inverse ?54
% 0.13/0.36 12526: Id : 20, {_}:
% 0.13/0.36 multiply (multiply ?56 ?57) ?57 =?= multiply ?56 (multiply ?57 ?57)
% 0.13/0.36 [57, 56] by right_alternative ?56 ?57
% 0.13/0.36 12526: Id : 21, {_}:
% 0.13/0.36 multiply (multiply ?59 ?59) ?60 =?= multiply ?59 (multiply ?59 ?60)
% 0.13/0.36 [60, 59] by left_alternative ?59 ?60
% 0.13/0.36 12526: Id : 22, {_}:
% 0.13/0.36 associator ?62 ?63 (add ?64 ?65)
% 0.13/0.36 =<=
% 0.13/0.36 add (associator ?62 ?63 ?64) (associator ?62 ?63 ?65)
% 0.13/0.36 [65, 64, 63, 62] by linearised_associator1 ?62 ?63 ?64 ?65
% 0.13/0.36 12526: Id : 23, {_}:
% 0.13/0.36 associator ?67 (add ?68 ?69) ?70
% 0.13/0.36 =<=
% 0.13/0.36 add (associator ?67 ?68 ?70) (associator ?67 ?69 ?70)
% 0.13/0.36 [70, 69, 68, 67] by linearised_associator2 ?67 ?68 ?69 ?70
% 0.13/0.36 12526: Id : 24, {_}:
% 0.13/0.36 associator (add ?72 ?73) ?74 ?75
% 0.13/0.36 =<=
% 0.13/0.36 add (associator ?72 ?74 ?75) (associator ?73 ?74 ?75)
% 0.13/0.36 [75, 74, 73, 72] by linearised_associator3 ?72 ?73 ?74 ?75
% 0.13/0.36 12526: Id : 25, {_}:
% 0.13/0.36 commutator ?77 ?78
% 0.13/0.36 =<=
% 0.13/0.36 add (multiply ?78 ?77) (additive_inverse (multiply ?77 ?78))
% 0.13/0.36 [78, 77] by commutator ?77 ?78
% 0.13/0.36 12526: Goal:
% 0.13/0.36 12526: Id : 1, {_}:
% 0.13/0.36 add (associator a b c) (associator a c b) =>= additive_identity
% 0.13/0.36 [] by prove_flexible_law
% 300.12/75.35 % SZS status Timeout for theBenchmark.p
% 300.12/75.35 % SZS status Timeout for theBenchmark.p
% 300.12/75.35 % SZS status Timeout for theBenchmark.p
% 300.12/75.35 % SZS status Timeout for theBenchmark.p
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