TSTP Solution File: RNG011-5 by Matita---1.0
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% File : Matita---1.0
% Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n029.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 20:35:28 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 20:02:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 14885: Facts:
% 0.13/0.34 14885: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutative_addition ?2 ?3
% 0.13/0.34 14885: Id : 3, {_}:
% 0.13/0.34 add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.13/0.34 [7, 6, 5] by associative_addition ?5 ?6 ?7
% 0.13/0.34 14885: Id : 4, {_}: add ?9 additive_identity =>= ?9 [9] by right_identity ?9
% 0.13/0.34 14885: Id : 5, {_}: add additive_identity ?11 =>= ?11 [11] by left_identity ?11
% 0.13/0.34 14885: Id : 6, {_}:
% 0.13/0.34 add ?13 (additive_inverse ?13) =>= additive_identity
% 0.13/0.34 [13] by right_additive_inverse ?13
% 0.13/0.34 14885: Id : 7, {_}:
% 0.13/0.34 add (additive_inverse ?15) ?15 =>= additive_identity
% 0.13/0.34 [15] by left_additive_inverse ?15
% 0.13/0.34 14885: Id : 8, {_}:
% 0.13/0.34 additive_inverse additive_identity =>= additive_identity
% 0.13/0.34 [] by additive_inverse_identity
% 0.13/0.34 14885: Id : 9, {_}:
% 0.13/0.34 add ?18 (add (additive_inverse ?18) ?19) =>= ?19
% 0.13/0.34 [19, 18] by property_of_inverse_and_add ?18 ?19
% 0.13/0.34 14885: Id : 10, {_}:
% 0.13/0.34 additive_inverse (add ?21 ?22)
% 0.13/0.34 =<=
% 0.13/0.34 add (additive_inverse ?21) (additive_inverse ?22)
% 0.13/0.34 [22, 21] by distribute_additive_inverse ?21 ?22
% 0.13/0.34 14885: Id : 11, {_}:
% 0.13/0.34 additive_inverse (additive_inverse ?24) =>= ?24
% 0.13/0.34 [24] by additive_inverse_additive_inverse ?24
% 0.13/0.34 14885: Id : 12, {_}:
% 0.13/0.34 multiply ?26 additive_identity =>= additive_identity
% 0.13/0.34 [26] by multiply_additive_id1 ?26
% 0.13/0.34 14885: Id : 13, {_}:
% 0.13/0.34 multiply additive_identity ?28 =>= additive_identity
% 0.13/0.34 [28] by multiply_additive_id2 ?28
% 0.13/0.34 14885: Id : 14, {_}:
% 0.13/0.34 multiply (additive_inverse ?30) (additive_inverse ?31)
% 0.13/0.34 =>=
% 0.13/0.34 multiply ?30 ?31
% 0.13/0.34 [31, 30] by product_of_inverse ?30 ?31
% 0.13/0.34 14885: Id : 15, {_}:
% 0.13/0.34 multiply ?33 (additive_inverse ?34)
% 0.13/0.34 =>=
% 0.13/0.34 additive_inverse (multiply ?33 ?34)
% 0.13/0.34 [34, 33] by multiply_additive_inverse1 ?33 ?34
% 0.13/0.34 14885: Id : 16, {_}:
% 0.13/0.34 multiply (additive_inverse ?36) ?37
% 0.13/0.34 =>=
% 0.13/0.34 additive_inverse (multiply ?36 ?37)
% 0.13/0.34 [37, 36] by multiply_additive_inverse2 ?36 ?37
% 0.13/0.34 14885: Id : 17, {_}:
% 0.13/0.34 multiply ?39 (add ?40 ?41)
% 0.13/0.34 =<=
% 0.13/0.34 add (multiply ?39 ?40) (multiply ?39 ?41)
% 0.13/0.34 [41, 40, 39] by distribute1 ?39 ?40 ?41
% 0.13/0.34 14885: Id : 18, {_}:
% 0.13/0.34 multiply (add ?43 ?44) ?45
% 0.13/0.34 =<=
% 0.13/0.34 add (multiply ?43 ?45) (multiply ?44 ?45)
% 0.13/0.34 [45, 44, 43] by distribute2 ?43 ?44 ?45
% 0.13/0.34 14885: Id : 19, {_}:
% 0.13/0.34 multiply (multiply ?47 ?48) ?48 =?= multiply ?47 (multiply ?48 ?48)
% 0.13/0.34 [48, 47] by right_alternative ?47 ?48
% 0.13/0.34 14885: Id : 20, {_}:
% 0.13/0.34 associator ?50 ?51 ?52
% 0.13/0.34 =<=
% 0.13/0.34 add (multiply (multiply ?50 ?51) ?52)
% 0.13/0.34 (additive_inverse (multiply ?50 (multiply ?51 ?52)))
% 0.13/0.34 [52, 51, 50] by associator ?50 ?51 ?52
% 0.13/0.34 14885: Id : 21, {_}:
% 0.13/0.34 commutator ?54 ?55
% 0.13/0.34 =<=
% 0.13/0.34 add (multiply ?55 ?54) (additive_inverse (multiply ?54 ?55))
% 0.13/0.34 [55, 54] by commutator ?54 ?55
% 0.13/0.34 14885: Id : 22, {_}:
% 0.13/0.34 multiply (multiply (associator ?57 ?57 ?58) ?57)
% 0.13/0.34 (associator ?57 ?57 ?58)
% 0.13/0.34 =>=
% 0.13/0.34 additive_identity
% 0.13/0.34 [58, 57] by middle_associator ?57 ?58
% 0.13/0.34 14885: Goal:
% 0.13/0.34 14885: Id : 1, {_}:
% 0.13/0.34 multiply (multiply (associator a a b) a) (associator a a b)
% 0.13/0.34 =>=
% 0.13/0.34 additive_identity
% 0.13/0.34 [] by prove_equality
% 0.13/0.37 Statistics :
% 0.13/0.37 Max weight : 18
% 0.13/0.37 Found proof, 0.026034s
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.37 Id : 22, {_}: multiply (multiply (associator ?57 ?57 ?58) ?57) (associator ?57 ?57 ?58) =>= additive_identity [58, 57] by middle_associator ?57 ?58
% 0.13/0.37 Id : 529, {_}: additive_identity =?= additive_identity [] by Demod 1 with 22 at 2
% 0.13/0.37 Id : 1, {_}: multiply (multiply (associator a a b) a) (associator a a b) =>= additive_identity [] by prove_equality
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 14886: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.027726 using kbo
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