TSTP Solution File: RNG023-7 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/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 20:35:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n029.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 22:31:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 29768: Facts:
% 0.12/0.34 29768: Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 0.12/0.34 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: 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 29768: Id : 17, {_}:
% 0.12/0.34 multiply (additive_inverse ?44) (additive_inverse ?45)
% 0.12/0.34 =>=
% 0.12/0.34 multiply ?44 ?45
% 0.12/0.34 [45, 44] by product_of_inverses ?44 ?45
% 0.12/0.34 29768: Id : 18, {_}:
% 0.12/0.34 multiply (additive_inverse ?47) ?48
% 0.12/0.34 =>=
% 0.12/0.34 additive_inverse (multiply ?47 ?48)
% 0.12/0.34 [48, 47] by inverse_product1 ?47 ?48
% 0.12/0.34 29768: Id : 19, {_}:
% 0.12/0.34 multiply ?50 (additive_inverse ?51)
% 0.12/0.34 =>=
% 0.12/0.34 additive_inverse (multiply ?50 ?51)
% 0.12/0.34 [51, 50] by inverse_product2 ?50 ?51
% 0.12/0.34 29768: Id : 20, {_}:
% 0.12/0.34 multiply ?53 (add ?54 (additive_inverse ?55))
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
% 0.12/0.34 [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
% 0.12/0.34 29768: Id : 21, {_}:
% 0.12/0.34 multiply (add ?57 (additive_inverse ?58)) ?59
% 0.12/0.34 =<=
% 0.12/0.34 add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
% 0.12/0.34 [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
% 0.12/0.34 29768: Id : 22, {_}:
% 0.12/0.34 multiply (additive_inverse ?61) (add ?62 ?63)
% 0.12/0.34 =<=
% 0.12/0.34 add (additive_inverse (multiply ?61 ?62))
% 0.12/0.34 (additive_inverse (multiply ?61 ?63))
% 0.12/0.34 [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
% 0.12/0.34 29768: Id : 23, {_}:
% 0.12/0.34 multiply (add ?65 ?66) (additive_inverse ?67)
% 0.12/0.34 =<=
% 0.12/0.34 add (additive_inverse (multiply ?65 ?67))
% 0.12/0.34 (additive_inverse (multiply ?66 ?67))
% 0.12/0.34 [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
% 0.12/0.34 29768: Goal:
% 0.12/0.34 29768: Id : 1, {_}:
% 0.12/0.34 associator x x y =>= additive_identity
% 0.12/0.34 [] by prove_left_alternative
% 0.18/0.37 Statistics :
% 0.18/0.37 Max weight : 18
% 0.18/0.37 Found proof, 0.037468s
% 0.18/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.37 Id : 6, {_}: add (additive_inverse ?10) ?10 =>= additive_identity [10] by left_additive_inverse ?10
% 0.18/0.37 Id : 14, {_}: multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35) [35, 34] by left_alternative ?34 ?35
% 0.18/0.37 Id : 11, {_}: add ?24 ?25 =?= add ?25 ?24 [25, 24] by commutativity_for_addition ?24 ?25
% 0.18/0.37 Id : 15, {_}: associator ?37 ?38 ?39 =<= add (multiply (multiply ?37 ?38) ?39) (additive_inverse (multiply ?37 (multiply ?38 ?39))) [39, 38, 37] by associator ?37 ?38 ?39
% 0.18/0.37 Id : 265, {_}: associator ?543 ?544 ?545 =<= add (additive_inverse (multiply ?543 (multiply ?544 ?545))) (multiply (multiply ?543 ?544) ?545) [545, 544, 543] by Demod 15 with 11 at 3
% 0.18/0.37 Id : 274, {_}: associator ?575 ?575 ?576 =<= add (additive_inverse (multiply ?575 (multiply ?575 ?576))) (multiply ?575 (multiply ?575 ?576)) [576, 575] by Super 265 with 14 at 2,3
% 0.18/0.37 Id : 302, {_}: associator ?575 ?575 ?576 =>= additive_identity [576, 575] by Demod 274 with 6 at 3
% 0.18/0.37 Id : 916, {_}: additive_identity === additive_identity [] by Demod 1 with 302 at 2
% 0.18/0.37 Id : 1, {_}: associator x x y =>= additive_identity [] by prove_left_alternative
% 0.18/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.37 29771: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.03872 using nrkbo
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